diff --git "a/data/dm_maths/full_data_1/10442_11255.jsonl" "b/data/dm_maths/full_data_1/10442_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10442_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (2808 - 145*p**2 - 2808)*(0*p**3 + p**2 - 3*p**2 + 2*p**3).\nAnswer: -290*p**5 + 290*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10476*u + 10481*u = 52*j - 223, 0 = -3*u + 4*j - 161 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*c + 6 = -352*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkqquqsk. What is prob of picking 2 q and 1 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, and 1 i when three letters picked without replacement from nmnnyinimij?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -6, -2, 1\/3, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27595349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -15. Suppose 2*q - r*l - 1410 = 0, -5*l = 2*q - l - 1434. Suppose 3*d = 4*d - q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434167.\nAnswer: 7, 211, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 384, 645, 1080, 1689?\n\"Answer: 87*l**2 + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -35. What is the remainder when h is divided by (1 + -1 - 9)\/(-12 - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 50 - 22)*(-2*n**3 - 4*n**3 + 4*n**3).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) + 30\/(-9). Let r = 37.4 - 48. Let f = r - -7.6. Sort f, p, 1\/8 in decreasing order.\nAnswer: 1\/8, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1, 2, 3, 132, 112 in decreasing order.\nAnswer: 132, 112, 3, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 6:36 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:44 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + m + 971 - 5347 = 0, 0 = a - 4*m - 4361. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, w: 2}. What is prob of picking 1 w and 1 d?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91))\/(sqrt(35)\/sqrt(5)*2) + -1 + (1*sqrt(143)\/sqrt(99))**2.\nAnswer: -sqrt(13) + 4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -135d (base 16) to base 9\nAnswer: -6717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*l - 8*l**2 - 218956 + 218956.\nAnswer: -8*l**2 - 409*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -4. What is the tens digit of ((-1)\/4*-1)\/(q\/13508)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*j. Suppose -46*n = 680 - 542. Put 4, n, j, 1 in decreasing order.\nAnswer: 4, 1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**4\/4 - 3*u**2 + 5. Find the second derivative of p(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + r - 48 = 0, -r + 42 = -4*m - 2*r. Let t(v) = v**2 - 3 + 7*v + 1 - 6. Is 11 a factor of t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 25*f - 3*f = -65 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 2145?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211206*a**3 - 421636*a**3 + 210445*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of (-2481)\/(-21) + 11\/(-77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose 2*l - 72 = -c + 21, g*c = l + 176. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*8\/(-6)*8\/(-320).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**12*h*h**(2\/5)*h*h\/(h*h*h\/(h*h**(-1\/54))*h)*h*h*h**30 assuming h is positive.\nAnswer: h**(6043\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/24 at most as big as 34929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:49 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 318, 1272, 2876, 5142, 8082, 11708, 16032, 21066?\n\"Answer: 2*g**3 + 313*g**2 + g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let a = -232\/3 + 78. What is the second smallest value in -4, i, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1245? (a) -2\/3 (b) 0.5 (c) 20 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 4*d**2 - 2*d**2 + (-1 + 3 - 3)*(39*d**2 - 18*d**2 - 22*d**2) in the form u*d + c*d**2 + r and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, c: 1, h: 2, i: 4}. Give prob of sequence cz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49770001?\nAnswer: 49770001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyzyzzyyyyyzzz. Give prob of picking 4 y.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -110. Let r = -36 - t. Suppose -2*p = -3*d - r - 3, 0 = -3*p. Which is the biggest value? (a) 1\/4 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovu when three letters picked without replacement from ouuuuuvuuuuouooouuo.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 14*x + 5*w + 10, -3*w - 4 = 4*x. List the prime factors of (x - -49)\/(4\/52).\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddzzzdzddz. What is prob of picking 4 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -98*l - 13. Is c(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*x**3 + 222\/7*x**2 + 216\/7 + 435\/7*x.\nAnswer: 3*(x + 1)**2*(x + 72)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 708\/(-27)*(-33)\/2. Let b = l - 432. What is the nearest to b in -21.5, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in months?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/(-6)*2*(-114)\/4. Let o = 530 - s. Solve -5*f - 2 + o = 5*t, -15 = f - 5*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 831204 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 - l**2 + 2*l. Let v be t(-5). Let s be (-45 + (6 - -16))*(0 - 11). Let r = v - s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*p - 3*o, -4*p + 0*p = 3*o. Factor -7123*f - 5*f**2 - 10*f**p + 7123*f - 5*f**4.\nAnswer: -5*f**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 4, 10, 18?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-2*2)\/sqrt(10).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b + 18. Give k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, 9.\nAnswer: -5, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70.1 - 66. Let d = j - 3. Let m = 1.09999955 - d. What is m rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*5\/150 + 275\/750\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158831.\nAnswer: 17, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 116, 198, 268, 320, 348?\n\"Answer: -g**3 + 89*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**6\/5 - 7*w**5\/2 - 203*w**4\/3 + 883*w. Find the third derivative of k(s) wrt s.\nAnswer: 144*s - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 68, 153, 312, 569, 948?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, -487, -2, -1, -4, 4 in decreasing order.\nAnswer: 15, 4, 3, -1, -2, -4, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1704, -3683, -5664, -7647, -9632?\n\"Answer: -q**2 - 1976*q + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -300*11320*45\/(-27). What is f rounded to the nearest 100000?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 4*o**2 - o**2 + 8*o + 5 - o**3. Calculate q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000472328 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 7 = 104*w - 930*w. Suppose w*z + 1\/3*z**3 + 0 + z**2 = 0. Calculate z.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8288.03 decades to months.\nAnswer: 994563.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -29. Let f(p) = 2*p + 7. Let b be f(w). Let q be (-1)\/b*(-75)\/(-5). What is the greatest common factor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 + 2*x**2 - 1. Let j be z(-1). Let u = 785 - 809. Suppose 3*y - 5*y = 3*g, -4*y = -4*g - 20. Sort 0, j, y, u in decreasing order.\nAnswer: y, 0, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 60 = p. Let s be (3*p\/14)\/((-6)\/(-42)). Factor -x + s*x**2 + 0*x - 3*x**3 + 0*x**3 - 14*x.\nAnswer: -3*x*(x - 5)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*s + 5 - 21 = 0, -3*z - 4*s = -16. Suppose 6*j - 29 - 25 = z. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.66 - -0.06. Let r = q + 0.6. Let p = 4.6 + -5. Which is bigger: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -4 + 3*b + 1\/2*b**2. Let w be m(-4). Which is smaller: 2\/15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 79. Let j = l + -35. Solve 4*q = -q + j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6010 (base 10) to base 9.\nAnswer: 8217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.352 + -0.352. What is the closest to 1\/4 in -76, 2\/5, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 12282 + 69462. What are the prime factors of z?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*r**2 + 0*r**3 - r**3 - 649*r**2.\nAnswer: -r**3 + 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3180965*t + 1. Let q be k(1). Let i = q - -6000964. Suppose 5*x = -x - i. What is x rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 8. Let m be b(-5). Let r = -50 - -55. Suppose -r*f + 2 + 9 = d, -12 = -4*f. Sort m, d, 1.\nAnswer: d, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 31. Suppose 14*p + 9 + x = 0. What is the tens digit of (4\/6)\/(p\/(-57))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 537511*x**2*z**3 + 140*x**2*z**2 - 19*x*z**6 - 12*x*z**2 - 283 wrt z.\nAnswer: 3225066*x**2 - 2280*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*u + u. Suppose i = u*i - 16. What is the second derivative of 4*d**4 - i*d**4 + d + d**4 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/4 - 2*f**3 + 7*f**2\/2 - 7*f - 1. Let w be h(5). Let v be ((-1)\/3)\/(7\/42). Put v, w, -4 in descending order.\nAnswer: w, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwjmjmaz. What is prob of sequence jvaz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332533 + -55?\nAnswer: 332434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2917513 - 4?\nAnswer: a291750a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/10)\/w**(-1)*w\/(w*w**0)*w*w*w**(-1\/3)*((w*w**2)**39)**(-23\/6) assuming w is positive.\nAnswer: w**(-6683\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(10) + -2 + -1 + sqrt(252) - -6*((-2*sqrt(147))\/sqrt(3))\/sqrt(7))**2*-1.\nAnswer: -184 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (17007 - 16988)*(22\/10 + -2)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1.69\nAnswer: -0.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -28054921?\nAnswer: 28054914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6507588, 13015152, 19522718, 26030286?\nAnswer: 32537856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n - 95. Calculate the remainder when 75 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 42*x - 2713145. Let r(h) = 2*h. Give g(r(f)).\nAnswer: 84*f - 2713145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 14600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 16. Let r(t) = -2*t - 32. Suppose s - a = 6, 5 = -0*s + 2*s + 5*a. Let i(w) = s*k(w) + 3*r(w). Let o be (4 + 3)\/(-1*1). Give i(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n - 184. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**6\/15 + 13*w**5\/30 - 7*w**4\/24 + 667*w**3\/3 - 12*w**2 + 47. What is the derivative of l(m) wrt m?\nAnswer: 24*m**2 + 52*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-45) - 6\/(-10))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ac (base 16) to base 6.\nAnswer: -4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l + 81200 = 22*l + 29*l. Is 56 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -1. Let l = q - -1.5. Is l greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j - 11 + 4*j**2 - 3 - 3*j**2 + 15 + j**2 in the form n*j**2 + q + v*j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 0 + 1 + (9 - 22) - 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*c + 535*c = 31680. Solve 268*d - 2 = c*d - y, 2*d = y + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42011 + -10?\nAnswer: -42021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 3*x + 5*x. Let o(g) = 2*g - 2. Let v(q) = -2*q + 3. Let a(l) = 3*o(l) + 2*v(l). Calculate a(s(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*u = 14, 2*u + u = -3*c + 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v. Let f = 18 + -13. Let z = f + 0. Solve 4*t = -0*b + 3*b + 31, v = 2*t - z*b - 33 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566098 is divided by 33297.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/365 - -716\/2555. What is the nearest to 0.2 in q, 0, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1717, -0.04, 2, -5 in ascending order.\nAnswer: -1717, -5, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -3 - 8*d + 1\/6*d**5 - 4\/3*d**2 - 1\/45*d**6 - 4\/9*d**3 - 1\/63*d**7 + 5\/18*d**4. Determine m so that h(m) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/36861 and -2\/23457.\nAnswer: 258027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184 by 11.\nAnswer: -184\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41405 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*m + 3507 + 1032, -2*m - 3*v = 1824. Put -2, m, 5, -5, 1 in increasing order.\nAnswer: m, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7516 (b) -2\/9 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20*x**2 + 286*x - 2025. What is g(7)?\nAnswer: -1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/3 - 832555432*t\/3 + 86643568419088328\/3 = 0. Calculate t.\nAnswer: 208138858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - 5 - -1 - -77?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 5635.\nAnswer: 1\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*m + 13 = d + 6*d, -14*d + 53*d - 2*m - 197 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**8\/280 + 3*i**4\/8 - 7*i**3\/6 + 22*i**2. Let m(d) be the first derivative of r(d). Differentiate m(w) with respect to w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -4. Let n = -4 + -7. Let m = g + n. What is the smallest value in -1, 0.4, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h + 2*h - 2*o, 4*o = 4*h - 36. Suppose 4*k - 12 = h. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3463*u**3 - 29*u**2 + 3449*u**3 + 21*u**2 + 8*u**2.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -14.24321.\nAnswer: -13.94321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j**4 + 57*j**3 + 3*j**2 + 291625*j wrt j.\nAnswer: -108*j**2 + 342*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4)*j)**(-31)\/(j*j**(-1\/3))**(-2\/103) assuming j is positive.\nAnswer: j**(19162\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0*a**2 - 2*a**2 + 0*a**2. Let t(y) = y**2 + 1289 - 1289 - 4*y**2. What is s(t(k))?\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*l - 178*l - 4*z - 43 = 0, 0 = -5*l - 4*z - 39 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvsvvvvsv. What is prob of picking 2 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 46 - 93*z**2 - 70 + 116 + 7*z.\nAnswer: -93*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1056 and 5724.\nAnswer: 503712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 + -124. Let a = 244 + z. Let o = -1.03 - 0.27. What is the closest to 0.1 in 1\/3, o, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzpzzzzzzzzzzpz. What is prob of picking 1 z and 1 p?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**2 + 1354415*g - 102906660 = 0.\nAnswer: 76, 270807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 60780186?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 539*o**2 - 7064*o + 746. Give l(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 5 - 4 + 23*d**2 + 1236*d**3 - 1235*d**3)*(1 - 4 + 5) in the form n*d + a + o*d**2 + w*d**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 4, -3 in increasing order.\nAnswer: -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*x - 3*w, 3*x = 4*w + 2 + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**9\/168 - v**5\/15 + v**2\/2 - 1. Let g(w) be the second derivative of u(w). What is the third derivative of g(m) wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 2*h + 0*h**2 - h**2 + 1. Let q be i(0). Let c = 2 - q. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -11 - 29. Let m = 0.35 + -7.35. Which is the nearest to m? (a) 0.5 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 1 + 0*r**3 + 0*r**4 + 0*r**5 - 5\/2*r**2 - r**6 + 0*r. Find the second derivative of h(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r + 3 - 1 - 3*r - 4 as c + d*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -953480.\nAnswer: -953484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 156941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/8 + 5\/8. Let o = -1 - -0.8. Let n = 0.2 + o. Which is the closest to 2\/5? (a) -4\/5 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 divided by -7263.\nAnswer: -193\/7263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 2. Let b(q) = 10*q + 79. Let i(z) = b(z) + 5*j(z). Let s be i(-4). Which is greater: s or -158\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 29. List the prime factors of w(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2414135 (base 6) in base 5?\nAnswer: 13023020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1172, -1158, -1130, -1082, -1008, -902, -758?\n\"Answer: n**3 + n**2 + 4*n - 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -0.5 (c) -0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-1)\/4). Suppose 51 = c*i - 13. Let o = i - 5. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 208, 378, 616, 922?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r. Let p = 51 - 50. Let z(a) = -a**2 - 1. Let n(v) = 4*v**2 - v**2 + 1 + 3. Let i(m) = p*n(m) + 4*z(m). Calculate i(x(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3078\/407 and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289399717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 - 469425*b**4 - 6571554*b**3 - 30040854*b**2 - 53509851*b - 29571129 = 0. What is b?\nAnswer: -156461, -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(1050\/9))\/((-3)\/((-2)\/(-2))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5. Let c(x) = 4*x**3 - 20*x**2 + x - 5. Let w(l) = l**3 - 5*l**2 - 1. Let n(a) = 2*c(a) - 9*w(a). Does 9 divide n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15 + -2 + -6 + 30\/6. Let u(g) = -2*g + 10. Calculate u(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o - 179. Let y(s) = -3*s**2 + 24*s + 9. Let z be y(9). Let b be h(z). Solve 5*m + 4*i = -17, 4*i - 9 = 4*m + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:27 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 3*b + 2. Calculate o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002492296 rounded to 7 decimal places?\nAnswer: -0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 8*o = -3*z - 33, 0 = -o - 3*z + 3. What is the least common multiple of o and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, -2\/3, -2\/13, -37\/39 in ascending order.\nAnswer: -1, -37\/39, -2\/3, -0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/140 and -33\/280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m - 3. Let s be ((-6)\/6)\/((-2)\/18). Let j(b) = b**3 - 10*b**2 + 11*b - 7. What is the remainder when j(s) is divided by q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 65 = 8*r. Round r to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -900 + 1311. Calculate the remainder when c is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + p + 3)*(4 - 5 - 2)*(1 + 4 - 4)*(-p + 2*p - 3*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73378 - 73366. Let b = 379 - 193. What is the greatest common divisor of b and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 127, 287, 511, 799?\n\"Answer: 32*y**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/4239 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -954*i*r**2 + 274*i*r + 133*r**2 + 2054 wrt i?\nAnswer: -954*r**2 + 274*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3*a - 2349 = -2364, 2*l = 3*a + 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(6*1\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -25*k**6\/6 + 14*k**5 - 69*k**4\/4 + 28*k**3\/3 - 2*k**2 - 3. Factor s(z).\nAnswer: -z*(z - 1)**2*(5*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46574745 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18285297962555 from -0.4.\nAnswer: -18285297962555.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 10. Let t = m - -20. Suppose -2*l = t*l - 20. Solve -2*j + l = 5*g - 7, 5*j - 15 = -5*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7710, 7670, 7630?\n\"Answer: -40*z + 7750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7755.548 to the nearest 100.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cc60 - 25?\nAnswer: 1cc3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11002102101000 (base 3) to base 12.\nAnswer: 889923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196852978 divided by 427?\nAnswer: 461014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 3*r**3 - r**3)*(-5*r**2 + r**2 + r**2) - 3*r**3 + 4*r**5 - r**5 - 6*r**5.\nAnswer: -9*r**5 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1325*m - 12295. Give c(9).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16957.249 and -11089?\nAnswer: 5868.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 52, 67 in ascending order.\nAnswer: 3, 5, 52, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 355543165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:34 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4998 by -6.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000380958273 rounded to 7 decimal places?\nAnswer: 0.000381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3)\/n)**21*(n**(-1\/9)*n)\/n*n*n**(-4\/5)*n)\/(((n**(1\/6)\/n*n)\/(n**0*n))\/(n**1)**(2\/143)) assuming n is positive.\nAnswer: n**(-335441\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q - 30. Let n be i(-14). Suppose -113 = 5*w + n. Let d = 93 + w. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3666*y = 17943 - 191338 - 229865 for y.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/10*10\/(-525)*-7. What is the biggest value in 1.8, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 705\/(-924) - (-9)\/(63\/2) and (6\/(-24))\/(3\/188)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13073.416 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/((-4)\/(-12)). Calculate the least common multiple of i\/(-4) - 15\/(-2) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(128)*-2 + 5 + sqrt(128)*-2 + 4 + 4 + -4*-3*sqrt(128)))**2.\nAnswer: 18432*sqrt(2) + 132368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-15) + 34\/(-6). Let w(n) = n**2 - 3*n - 2. Let r be w(4). Let m = r - v. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -335091.5300101 - -335089.6. Let a = m + 1.93. Round a to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -397 (c) 1865\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6019716 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -268945 or -13?\nAnswer: -268945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -26*n**3 - 13*n**2 + 11*n + 2. Let o(l) = -14*l**3 - 7*l**2 + 6*l + 1. Give -7*o(u) + 4*r(u).\nAnswer: -6*u**3 - 3*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -88 - -61 - -43\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32221025 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 12 - 2. Calculate the lowest common multiple of 56 and (-44)\/(g\/(2 + -3)).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12274 + -11476192\/935. Let s = 1459\/187 + h. What is the common denominator of s and 10 + 51\/(-9)*-1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**4\/12 - 5*m**3\/6 - 3*m**2 - 3*m. Let s be h(7). Factor -7*b - 4*b - b**3 + 4 + b - b**3 + s*b**2.\nAnswer: -2*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2*g\/g**2)\/(g**(2\/7)\/g)**(6\/5))\/((g**(-1))**(-29))**40 assuming g is positive.\nAnswer: g**(-8107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/30690220 and -67\/49104352.\nAnswer: 245521760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 7*y + 4. Let b be (2\/3)\/((-4)\/(-42)). Let z be s(b). Solve 2*l = g - z*g - 11, -l = g + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/6 - 10385*s**2\/3 + 107848225*s\/6.\nAnswer: s*(s - 10385)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.9 and -0.85?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539.271 seconds in minutes?\nAnswer: 58.98785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1050, 2195, 3342, 4497, 5666, 6855, 8070, 9317?\n\"Answer: f**3 - 5*f**2 + 1153*f - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-765\nAnswer: -3825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/(-18))\/(7\/(63\/(-1)))*54\/(-108).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (4 + 0 - 144570\/(-10980))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:10 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -40)*(-6)\/8. Suppose 2*n - 61 - o = 0. Let u = n + -21. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1351353 + 336473113\/249. Let a = -166\/3 - p. Are a and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -116, -237, -406?\n\"Answer: -24*l**2 - l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -190 (base 13) to base 4\nAnswer: -10132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5865855407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76818 or -76819?\nAnswer: -76818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2064)\/(-86)*13\/((-741)\/(-76)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7686248 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*f - 20*f - 175 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9592105527326.9 - 2\nAnswer: -9592105527328.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 781 and 1507?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 108392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13306.51ug in tonnes?\nAnswer: 0.00000001330651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 1:19 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**27*y)**(1\/35)\/(y\/((y\/(y\/((y*y\/(y\/(y**(-1\/13)*y)))\/y)))\/y*y))**(-3\/7))**(-3\/29) assuming y is positive.\nAnswer: y**(-1137\/13195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 1151526.\nAnswer: 8060682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.6. Let j = 2 + 0. Let a be (20\/(-315))\/(j\/3). What is the third smallest value in a, -2, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11917, -24166, -36743, -49648, -62881, -76442, -90331?\nAnswer: -104548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 2*o**2 + o**2)*(-o**3 + 4*o**3 - o**3).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248.2 + 248. Which is the nearest to -0.1? (a) h (b) 0.3 (c) 5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6815, -13629, -20443, -27257?\nAnswer: -34071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*b + 25*b - b)*(-3*b - b + 5*b + (-1 + 2 + 0)*(-2*b + 0*b + 0*b) - 4*b + 4*b - b - 2*b + b - b).\nAnswer: -400*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 333*t - 333*t - 4*t**2 to the form g + q*t**2 + v*t and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 7\/4*f**4 + 0*f**2 - 83\/3*f**3 + 0*f + 8. What is the third derivative of r(d) wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*i**2 + 43*i**2 - 94*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4582406 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 19. Let j = -1 - -18. Let w = t - j. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1945, -7802, -17563, -31228, -48797?\n\"Answer: -1952*f**2 - f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v - 955 = -0*h - h, 0 = v - 107*h + 112*h + 1 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 14*v = 4*w - 996, -5*w - v + 1269 = 0. Calculate the smallest common multiple of 225 and w.\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p - 2. Suppose 4*u - 17 = 3*u + p*y, -y - 1 = 0. What is the highest common divisor of u and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12731 + -63959\/5. Let x = -61 - q. Let i be (12\/15)\/(1\/5). What is the closest to -0.2 in 1\/5, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 22. Calculate the remainder when 36 is divided by g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 111*t - 429. Let z be a(-4). Sort 3, -19, z, -5 in decreasing order.\nAnswer: 3, z, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14430540 (base 6) to base 8\nAnswer: -1723774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 3:25 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -7*y**6\/90 - 4*y**3 - y**2 - 338*y. Let w(j) be the second derivative of t(j). Let m(i) = -i. Give m(w(u)).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 26. Let p = 0.9994 + z. Round p to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 > -129\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -521, -2067, -4645, -8255, -12897, -18571?\nAnswer: -25277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 5*j**2 - 6*j + 4. Let f be l(4). Let u(p) = p**2. Let g(o) = -2*o**2. Give f*g(x) - 5*u(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 18 + 55*b - 11 to z + o*b and give o.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664717379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076*o - 5118 = 1791 - 453 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7863 and 618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 27 = 2*l - l, -3*l + 69 = 3*k. Let u = l + -22. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046.59 times -84.6?\nAnswer: 88541.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-43)\/(-9) + 10\/45. Suppose -5*v = -2*b + 30, -y*b - 2*v + 60 = -7*v. What are the prime factors of ((-25)\/b)\/((-3)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(17)*1 - (1*sqrt(187))\/sqrt(11)) + (sqrt(204) - 5*sqrt(204)*2)\/((sqrt(216) + sqrt(24) + sqrt(24))\/sqrt(2)) + -1)*1)**2.\nAnswer: 88*sqrt(17)\/5 + 32937\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:53 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) 0.01 (c) 3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-104436)\/30 - 0)\/(5\/((-250)\/15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:16 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3871 and 114234?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 0, 171, 15, -32.\nAnswer: -32, 0, 15, 35, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44675 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 - 73. Suppose 540 = -g*a + 74*a. Suppose -3*w + a = -126. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -23*b - 361. Determine h(-26).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 42\/6*-66*35\/735\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*(r**(-14\/5)*r*r)\/r)*r*r)\/(r\/(r**(-2\/45)*r)) assuming r is positive.\nAnswer: r**(214\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4914, -4975, -5024, -5055, -5062, -5039, -4980?\nAnswer: -4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 1 + sqrt(176) + 3 - sqrt(176) - (sqrt(176)*-3*2 + sqrt(176)))**2 + 6*(4*(sqrt(176) + 1) + 5)**2.\nAnswer: 1920*sqrt(11) + 23734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007338 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1)\/((4 + -3)\/2). Let q be (12\/16)\/(1\/z). Solve 0 = 4*m + q + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83075263 > 83075265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 199, 428, 693, 994, 1331, 1704?\n\"Answer: 18*y**2 + 175*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 41 = 10*q. Suppose 0 = l - i - q - 40, 440 = 5*l + 2*i. Calculate the remainder when l is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/3)\/(116\/30 + -4). Suppose 15 + 35 = -u*j. What is the third smallest value in j, -3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*a**2 + 274*a - 274*a - 342*a**2.\nAnswer: 83*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Suppose -3*w - 2*t = 1 - 6, 5*t = -3*w - 1. Suppose 2*r = -0*r - 4*b + 34, 0 = -4*r - b + 33. Solve w*u + 2*i - r = c, -u - u + 8 = 3*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00714788 minus -4?\nAnswer: 3.99285212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/((-1)\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 2*m**2 + 146*m - 38. Let o be j(13). Solve o = 51*h + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/61, 1\/18, -9\/2 in descending order.\nAnswer: 1\/18, -6\/61, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(3 - (-402)\/(-135)). Suppose -41 = 4*h - p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 8*i**2 - 4*i - 16. Let m be k(7). Suppose -2*p = -0*p + c + 159, 3*p = m*c - 245. Let x be p\/(-102) + (-8)\/12*1. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47602 divided by -391?\nAnswer: -47602\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from kkkkokdkko?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 28132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -517 - d?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/5)\/n**1*n*n**(1\/3)*(n**(-3)\/n)\/n assuming n is positive.\nAnswer: n**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = u - 7109954, -8*h - 55*u = -51*u - 11375948. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 + 3 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 22*b - 1511. Let k(p) = 31*p - 2268. What is -7*f(s) + 5*k(s)?\nAnswer: s - 763","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:59 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k + 153. Let y(g) = 3*g - 68. Let u(l) = -4*n(l) - 9*y(l). Let c(d) = -8*d - 2. What is -2*c(q) - 10*u(q)?\nAnswer: 6*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2450\/375)\/(-7))\/((-6)\/120 + 1\/4).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 9 = k. Suppose 3*w - 42 = -k*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 4:09 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 - 2\/(0 - -1). Let r be (3 + -2)*c\/4. List the prime factors of (126\/(-12))\/(r\/4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t = 0. Suppose t = 5*z - 4*z - 18. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 21.04. Let g = l - -0.04. Which is bigger: g or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -240, -848, -2032, -3984, -6896, -10960, -16368?\n\"Answer: -32*o**3 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*q**4 - 18 with respect to q.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + k + 1. Let f(d) = 6*d**2 - 7*d - 7. Let u(z) = 4*f(z) + 28*r(z). Let i(m) = 3*m. What is u(i(t))?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 13629.\nAnswer: 272580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 10*d**2 - 9*d + 12. Let t be k(-9). Let r = -2 + t. Suppose r = 3*p - 17. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -120*y**3 - 280*y**2 - 195*y - 35. Let d(q) = 17*q**3 + 40*q**2 + 28*q + 5. Let h(z) = -3*b(z) - 20*d(z). Factor h(a).\nAnswer: 5*(a + 1)*(2*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 393 and 0.5.\nAnswer: 196.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 60. Suppose y - 5*p = 55, q*y - 145 = 2*y - 5*p. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-12 - (-18 - -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 183145 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 9*j**2 + 21*j**2 + 9*j**2.\nAnswer: 39*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 52*c**3 + c**2 + 7*c + 22. Calculate y(-2).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 730469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 82 (c) -0.05 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 23?\nAnswer: -33\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4285, 4276, 4267?\n\"Answer: -9*f + 4294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vui when three letters picked without replacement from yytiyuvyiui?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 0.5, -1, 0.08?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*z + 224, -1 = -p - 2. What are the prime factors of z?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -t - 5. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:59 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000813185 to seven dps.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:49 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/(-18) + (5 + 3 - 16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-1\/4)*k)\/k))**(-50)*k**1*k\/(k*k*k\/k**0) assuming k is positive.\nAnswer: k**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 8, -3*h - 2*o + 200 = -0*h. Suppose -3553*c + 3578*c = 4520 - 695. Calculate the highest common factor of h and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 12*w - 19. Let d(i) = i**2 - 13*i + 18. Let x(t) = -5*c(t) - 4*d(t). Let m be x(5). Solve -12 - m = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.4549 weeks in milliseconds?\nAnswer: 405491123520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:00 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.323 - -0.523. What is the second smallest value in 3\/5, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(131\/((-26724)\/272)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {q: 1, f: 2, y: 1, t: 1, s: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 1, -5, -13?\n\"Answer: -t**2 - t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 7. Let j = 0.1 + -0.2. Let g = j - -0.1. What is the third smallest value in g, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h + 1 + 3*h - 7*h + (3 - 1 - 1)*(-h - 2 + 2).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 16*j - 218 + 262 = 0, 0 = 2*i + 5*j + 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18535, 37070, 55605, 74140?\n\"Answer: 18535*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4052 is divided by 818.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4 - 389*l**2\/2 + 5356*l - 103. What is the derivative of c(t) wrt t?\nAnswer: 12*t**2 - 389","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 2\/(-4)*(-1333 + 373).\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/4)*l*l**(-1))\/(l\/((l\/l**(2\/5))\/l))**(-21) assuming l is positive.\nAnswer: l**(613\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047733 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3112 - 10?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00130664457 rounded to 7 decimal places?\nAnswer: 0.0013066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:24 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 23*m = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-2)\/1 - -3). Suppose -4*c - 2*v = 6, 1 = s*c + v + 4. What is the units digit of ((-18)\/(-10) + c)*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k - 40. Let p(x) = 17*x + 39. Let j(l) = -3*c(l) - 4*p(l). What is the derivative of j(v) wrt v?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*p - 228*p = -984. Let d = p + 256. Solve d*i - 5*i = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 120 - 130 = 0. Let w = h + -84. Let g be 4\/w*2\/4. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 3. Let v be d(-7). Solve -v*u - 4*p - 7 = -u, p = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose -x*i = -0*i - 20. Suppose t = -1, -5*b = -3*b - t - 85. Solve 17 = -i*p + b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.101 + 0.07.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 4:03 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c - v + 13396, -v = -4*c + 13396. Suppose 5*n - c - 8771 = 0. Suppose -3*u = -2*r + 1334, 0 = -3*r + u + n - 409. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p. Let a(n) = -8*n**2 - 9*n + 1. Give -2*a(s) - 14*r(s).\nAnswer: 2*s**2 + 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4386*a - 473686. Determine v(-108).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -s + 6*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 19*m + 20. Let x be s(17). Suppose 63 = -0*n - 5*n + 4*r, -r + 12 = -n. Are x and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, -1 in ascending order.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 9:29 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/2 + -23\/3. Let s be 1*(0 - (6 - 1)). Suppose 0 = 2*p + 367*i - 356*i - 65, 0 = -p + i. Which is the biggest value? (a) p (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 341.67.\nAnswer: -341.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1482 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 417*t - 441*t - 96. Let m(p) = 3*p**3 - 5*p**2 - 11*p + 5. Let h(z) = -z**3 + 2*z**2 + 4*z - 2. Determine t*m(s) - 11*h(s).\nAnswer: -s**3 - 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*q - 84*q = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 5*a - 19, 2*v - 1407*a = -1410*a + 27 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 5:55 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -37*o**2 + 3*o + 1. Let j be z(2). Let m = 283 + j. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u - 10. What is the tens digit of s(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9 - 4*(-26)\/1560?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.255 - -0.011. Let u = t - 0.2634. What is u rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -33. Suppose -8*w + 106 = -6. Let t be ((-44)\/(-77))\/(4\/w). Solve -f*p + t = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/672*21 - 71.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.77*-15.9\nAnswer: 28.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 i, and 1 v when four letters picked without replacement from wffhiaiv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 + (-13)\/3. Calculate the remainder when ((-8)\/(-76) + 917\/133)*1 is divided by 86\/30 - v\/30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**7\/70 - 3*r**6\/40 - r**5\/3 - r**4\/12 + 14*r**2 + 2*r. What is the third derivative of y(p) wrt p?\nAnswer: -72*p - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10\/(i*i**13\/i))\/((((i**2*i)\/i)\/i*i)\/i)**(-2\/9) assuming i is positive.\nAnswer: i**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2597 + 12?\nAnswer: 25a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.83 - 0.678. Let q = -0.12 - -0.06. Let b = q + v. Round b to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -0.1. Let f = -22 + 28. Let z be (-12)\/(-15) + -7 + f. Which is the third biggest value? (a) z (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1062 and 7902814?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 15*g - 40. Suppose 3*m + 58 = 7. Let x be c(m). Let s be x\/2 + 4 + (-30)\/48. Is s > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-q**2 + 2*q**2 + 4*q**2) + 3*q**2 - 1 + 1.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2707859370.\nAnswer: 2, 3, 5, 421, 214399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53480*o**5 - o - 149353.\nAnswer: 1069600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9528, 27, 7 in increasing order.\nAnswer: 7, 27, 9528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 521 and 5448097?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1304 by 652.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/((-25)\/(-3)))\/((-147)\/105). Which is the second biggest value? (a) v (b) 22 (c) -0.1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 6, -605 in increasing order.\nAnswer: -605, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -347231*u**4 + 14*u**2 + 113786700 wrt u?\nAnswer: -1388924*u**3 + 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*d - 2404290 + 1351351 = 1794509. List the prime factors of d.\nAnswer: 2, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 10:54 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 23. Suppose 49 - t = 2*l. Suppose -3*h - 12 = -2*i - l*h, 12 = 3*i + 3*h. Solve 0 = i*n - n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqkjddqdjkjyydjjjd. Give prob of sequence rq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 115*r - 137. Determine i(-56).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 - 389. Round g to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 0 = -3*y - 2*r, -2*y - 15 = 3*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78593142 a multiple of 3647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5)*1950\/65. Let d(v) be the first derivative of 1\/2*v**2 + 0*v - b. Let f(m) = -14*m**2. Determine d(f(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 28*x + 1. Let l be w(-2). Let m = l - -110. Let s be m*-1*2\/(-5). What is the highest common factor of 33 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.90609 centuries to years.\nAnswer: 9990.609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -649? (a) 1\/5 (b) -27\/4 (c) -2\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 15*p. Let n(b) be the third derivative of b**5\/30 + 3*b**2. Calculate n(k(z)).\nAnswer: 450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4126\/3 - -1387. Let w = h + -12. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152088275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35310, 70999, 107072, 143535, 180394, 217655, 255324, 293407?\n\"Answer: y**3 + 186*y**2 + 35124*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9255996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 65*u**2 + 2*u - 2. Let z(p) = -389*p**2 - 13*p + 13. Let y(b) = -39*s(b) - 6*z(b). Let i(t) = t**2. Determine i(y(f)).\nAnswer: 40401*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*1 + 9\/(-3). Solve 6 = -j - n + 1, 2*j + n + 10 = h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744 = -14*m + 2224. Suppose 0 = 2*o + 4*w - m, 3*w - 121 = -o + 6*w. Calculate the highest common factor of 48 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -5, 65, 0, -4, 3 in descending order.\nAnswer: 65, 43, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.87 - 0.13. Let o = c + 8. What is the nearest to o in 1, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12689*u**4 - 3*u**2 + 37522*u.\nAnswer: 152268*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 959 + -549. Let u(i) = 10*i**2 - 5*i + 21. Let w be u(-6). Is s not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 54*h. Let z(x) = -2385075*x. Give l(z(s)).\nAnswer: -128794050*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose -4 = -4*t, -2*z + 2*t + q = t. What is the smallest common multiple of (3 - 3 - z)\/(-2) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 7 = -c, 4*d - 7*d = -4*c - 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38458 or -29131?\nAnswer: -29131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1822 = 25*r - 2072 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.256 - -0.056. Let t(j) = 4*j**2 - 222*j - 109. Let s be t(56). Which is the smallest value? (a) s (b) x (c) 91 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 0.28?\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-5\/3))\/i)\/i*i**4)\/(i\/(i\/((i**0*i)\/i)))**(7\/5))**(-39) assuming i is positive.\nAnswer: i**(-182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*3\/4)\/((-36)\/24). Let j be 6*(z - -6)*9\/6. Calculate the highest common factor of 90 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**3 - i**2 + 8*i + 7. Let n(t) = 3*t**3 + t**2 - 7*t - 6. Let a(q) = 5*g(q) + 6*n(q). What is the tens digit of a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 48. What is the units digit of (-92)\/6*27\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56142543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - -4) + ((3 - -24) + 6 - 91).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 212982, 425970, 638958, 851946, 1064934, 1277922?\n\"Answer: 212988*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 218432605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -1.179.\nAnswer: -5.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 975222 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8876649?\nAnswer: 3, 193, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-2 - -6 - -1) + 9 + 5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or 3\/740?\nAnswer: 3\/740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -5252.\nAnswer: -5252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2036 not equal to -5241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upppupup. Give prob of sequence ppup.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 31046 = -241*p + 243*p, p + 31047 = 4*a. List the prime factors of a.\nAnswer: 2, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(176) + (sqrt(55)\/sqrt(5) + 0)**2 - (3 + (-3*sqrt(99))\/sqrt(9) + -3).\nAnswer: -sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 305741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, 33.4, -3\/5, 0.4, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57121914 is divided by 292.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 2044.\nAnswer: 30660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013*35.86.\nAnswer: 0.46618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + j + 8. Let i be x(0). Let m = -10 + i. Let a be 1\/((0 + m)\/(-6)). Solve 4*f - 5*l - 29 = 0, l + 0 = -a*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180785860*m**3 + 98488920.\nAnswer: 542357580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 256203.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 e, and 1 i when four letters picked without replacement from eomeieommemoe.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/120 - 3*o**5\/20 + o**4\/12 + 10*o**3\/3 + 48*o**2. Let s be t(-9). Solve 2*f + 8 = -0*b + 4*b, s*f + 4*b = 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 4*k + (-1 + 5 - 2)*(2*k + 2*k - 3*k))*(-7*k**3 + 4*k**3 + 6*k**3)*(2*k + 1 - 1).\nAnswer: 24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -1021*f**7\/7 + 52*f**3\/3 - 8*f + 574. What is the third derivative of b(a) wrt a?\nAnswer: -122520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/(2\/(-6)). Suppose 0 = -3*v + 1 + 11. Suppose -a - 35 = 5*n, 33 = -2*n - v*a + 1. Sort p, 1, n in decreasing order.\nAnswer: 1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -72, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - (-7)\/((-14)\/652). Suppose -4*i - 3804 = -4*z, -i + 951 = -2*i - 2*z. Let u = d - i. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/57 and 71\/62073?\nAnswer: 62073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*s - 56*s - 80*s)*(-1 + 1 + 1) - 2*s - 3*s + 4*s as g + j*s and give j.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14565932 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6450631 and 13178.\nAnswer: 12901262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -218251 and 0.21.\nAnswer: -45832.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m = 16*m - 2*h - 4, -5*m - 5*h - 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 + 179. Let q(z) = -n*z + 50*z - 17*z - 60*z. Let c(y) = y. What is c(q(p))?\nAnswer: -69*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7022 + -7017. What is the highest common divisor of v and 3365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1170.3 - 1170.3019596. Round o to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/30 - 50*s**2. Let p(u) = 4*u - 10. What is q(p(w))?\nAnswer: -32*w**2 + 160*w - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/7 (c) 0.2 (d) -262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 3:44 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91662 and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1725627 and 2703?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7\/5)\/(16\/28) and 45\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 170*o**3 + 765*o**2 - 1180*o + 580.\nAnswer: 5*(o - 29)*(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152\/266*-14*(-481)\/(-104)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + y + 2 + (-1 - 1 + 3)*(5*y - 4*y - 3*y))*(-643*y**2 + 231*y**2 - 1031*y**2).\nAnswer: 1443*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**4\/4 - 7*t**3\/3 + 9*t**2\/2 + 33*t - 55. Let b be f(-8). Solve 4*j + b - 13 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 7*c**2 + 14*c**2)*((1 + c - 1)*(1 - 1 - 1) + 4*c + 6*c - 12*c).\nAnswer: -63*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 640620, 2562492, 5765612, 10249980, 16015596?\nAnswer: 23062460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 1, n: 1, z: 2, c: 8, j: 3}. What is prob of sequence jnz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 563 - 3915\/7. Is o smaller than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162270.\nAnswer: 2, 3, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-21) - (-218)\/6. Let r = g + -28. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -4. Let p = 7 - t. Let s(f) = -9*f. Let v(a) = 10*a. Let h(c) = 4*s(c) + 3*v(c). Calculate h(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113\/7 + -1667\/105. Let j(k) be the first derivative of 7\/20*k**2 - 1\/60*k**6 - 1\/25*k**5 + y*k**3 + 13 + 1\/20*k**4 + 1\/5*k. What is s in j(s) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -45*r - 5208. Let t be u(-116). Let n(h) = -17*h + 198. Determine n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-11)\/(-66) + (-114)\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - b + 3, 4*m - b = -2*b + 1. Find the common denominator of -27\/10 and (-146)\/6 - m\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f**3 + 70*f**2 + 55*f = 0. Calculate f.\nAnswer: -11\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/5 - 24*y**4\/5 - 29*y**3\/5 + 1074*y**2\/5 + 216*y = 0.\nAnswer: -20, -9, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 4*t - 2. Let w be x(4). Let g be 4 - (w + (-2 - -5)). Suppose -2*i = -g*i - 3, 5*a - 52 = -i. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-4) - (27726\/(-24) - -1). Let n = c + -20741\/18. What is the common denominator of n and 49\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 221*o**2 - 39*o - 97. Is s(106) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)*t**(-2))\/((t\/((t*t*t**4*t)\/t))\/(t\/t**(5\/3))))\/(t\/(t*t**(1\/3))*t**(-2))**22 assuming t is positive.\nAnswer: t**(811\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -43. Let a be 36\/10 - (14 + f). Let o = 1\/26 - -23\/78. What is the biggest value in a, 2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00379527312 rounded to five decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156\/83 + -3183\/1826. What is the closest to -8 in m, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 310\/297 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101010010011 + -10?\nAnswer: -1000101010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3545, 14129, 31753, 56417, 88121, 126865?\nAnswer: 172649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8321.1104 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -103. Let j(n) = 37*n**2 - n + 4. Let y be j(4). Let u = y + -1089\/2. Find the common denominator of c and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*x + 3*h, 27 - 87 = 5*x + h. Let l be 74\/26 + (-2)\/x. What is the common denominator of ((-194)\/24)\/(l\/9) and -23\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a + 15. Let n(i) = 7*i - 16. Let q(o) = 6*b(o) + 5*n(o). Let p be q(12). Let w be -3 - ((1 - p) + -11). Solve 1 - w = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1396, -1093, -588, 119?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**7\/70 - b**6\/6 + b**5\/20 + b**4\/8 + 6*b**2 - 3*b. What is the third derivative of m(t) wrt t?\nAnswer: -72*t - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, l: 3, p: 1, m: 2, s: 1, e: 2}. What is prob of sequence spl?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1747 or 0?\nAnswer: 2\/1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a = -46 - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-60) - (-3)\/4)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376216368 a multiple of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 19*d + 3. Let j be g(3). Suppose 2*f = -3*f + 3*r + 76, 5*r = -3*f + 32. Let x = f + j. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4172, -4297, -4426, -4559, -4696?\n\"Answer: -2*i**2 - 119*i - 4051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -3\/5, -10401?\nAnswer: -10401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 527 - -6. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778 = -31*k + 622 - 2609 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**5 + 26*p**4 + 486*p**3 + 506*p**2 - 2050*p - 2100 = 0.\nAnswer: -7, -5\/2, -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/3 - 1390*o**3\/3 - 1388*o**2 - 24*o + 25. Factor n(k).\nAnswer: -4*(k + 1)*(k + 694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2871029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - 720*x - 25510. What is m(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41182995 rounded to 3 decimal places?\nAnswer: 0.412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 849600 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -18, 1\/7, -0.17 in increasing order.\nAnswer: -18, -0.17, 1\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:20 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 30*f**3 + 9*f - 2. Let y(n) = 15*n**3 + 5*n - 1. Let v(k) = 3*s(k) - 5*y(k). Find the second derivative of v(l) wrt l.\nAnswer: 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from qqwwrcczwrqqwwwwr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + ((sqrt(21) - sqrt(189))\/sqrt(7) - sqrt(3)) + sqrt(33)\/sqrt(275) + 1*((2 + sqrt(3))**2 - sqrt(3)) + sqrt(3)).\nAnswer: 36*sqrt(3)\/5 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10532 is divided by 5224.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 203531*u - 6380. Let c be r(-20). What is c rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5501*b + 1572*b - 3953*b + 1682*b. Let m be d(-4). Let q be (1\/2)\/((-2)\/m). What is q rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/12)\/(g\/g**7))**(-2\/11))**(-48) assuming g is positive.\nAnswer: g**(584\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:36 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 2:27 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)*7\/(-1). Let b(z) = -6*z. Let j be b(n). Calculate the greatest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 - 2*t**2 + t**2)*(2*t - 2*t - t) + 2*t - 2*t + 3*t**3 to g*t + a*t**2 + b + m*t**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -8*a + 14. Let t be (a + -3 - -1)\/2. Solve j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 233*v - 74 + 231*v)*(2*v - 2*v - v).\nAnswer: 2*v**2 + 57*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 67 (b) -1\/7 (c) 4\/5 (d) 0.06 (e) -2.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 76 + 284 = 0. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -560, -4499, -15184, -35987, -70280, -121435, -192824?\n\"Answer: -562*b**3 - b**2 - 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 274, 545, 816, 1087, 1358, 1629?\n\"Answer: 271*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggz when three letters picked without replacement from {g: 8, z: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-6) - (-8)\/(-12). Suppose 0 = k*o - 6 - 14. What is the least common multiple of 11 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 424595*t - 424594.\nAnswer: -(t - 424594)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-10)*5\/2. Let w(z) = -z + 2. Let m be w(a). Solve t - 4 = 4*b + m*t, -3 = -5*b - t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 22 = -5*q, 1 = -2*k - 3*q + 3. Suppose -k*u + 0*b + 3*b = 32, -4*u + 2*b - 32 = 0. Let i(s) = s + 9. Let f be i(u). Solve -v + f + 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-0.0225.\nAnswer: 0.000675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 12. Let o be l(5). Let p be (-27)\/(-6)*2\/o. Find the first derivative of -6 + 3 + p*r**2 - 5*r**2 wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -4*j**2 - 1 - 5\/3*j**3 - 13*j. Let i(f) = 2*f**2 + 4*f + 6. Let c(g) = -7*i(g) - 3*l(g). What is c(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 114 = 5*n. Suppose -5*y + 186 = b, -4*y + 4*b - 58 + 226 = 0. Let a = n - y. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 122*h + 366. What is the units digit of c(52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -4 + 0 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -142, -213, -284, -355?\n\"Answer: -71*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 31 - 33 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 98. What is l(27)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 380807879 at least 380807879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/13, -1\/65, -2\/17, -2, -3 in decreasing order.\nAnswer: 5\/13, -1\/65, -2\/17, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*z + 379*z = -391*z + 756 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*n + 1326*n - 19379 + 5794 = 27869 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001011101100001 - 101001?\nAnswer: -11110001011110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-315))\/(6\/(-12))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/39 and -151\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**3 - 6*x**2 - 6. Let k(c) = -110*c**3 + 65*c**2 + 65. Suppose a = 2*p + 65, 169 = 5*a - 4*p - 156. Determine a*v(l) + 6*k(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695815818 a multiple of 5589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28531475 to the nearest integer?\nAnswer: 5341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + 3*l**3 - 6*l - 5*l**2 - 2*l**3 + 6*l**2 as x*l**3 + r*l + z*l**4 + y + q*l**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) -160 (c) 0.3 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*n - 3*l + 27, 4*n + 15 = -3*l. Suppose -z + 0*z - 2 = 0, 4*t = 3*z - 10. Put -5, n, 5, t in descending order.\nAnswer: 5, n, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(12\/119) - 5\/15. Let t = u - -49. Calculate the smallest common multiple of t and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61328 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + 5 + (-2 + -1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 716970956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(3\/20))\/(m*m**0*m))**3)**(-25) assuming m is positive.\nAnswer: m**(345\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 3*x + 7. Let y be b(-2). Suppose -y*m + 7663 - 1488 = 0. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -266 (base 9) to base 13\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.17 (b) -3 (c) -4\/7 (d) -0.4 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233425 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19752?\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1057182 or 1057131?\nAnswer: 1057182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134)\/(-2)*1*(-4)\/(49\/(294\/24))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 160.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 - b - 1. Suppose -5 + 3 = -3*v + 4*o, 3*v - 14 = o. Let d(q) = -4*q**3 + 3*q + 3*q + 4 + 7*q**2 + 2. Determine v*z(m) + d(m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*334.807731.\nAnswer: -1004.423193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 29*n - 55. Calculate l(-22).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335 - -2009\/6. Which is bigger: 0.37 or f?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {x: 2, c: 1, v: 4, y: 5, i: 2, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tiej when four letters picked without replacement from tejitsstjtsseshiitt.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.042 (b) -4 (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.712 * -12\nAnswer: 20.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/3*9\/6. Suppose -5*j = -4*o - 21, 2*j + 2*o - 4 = -p. Are j and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -7 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10202111011122 (base 3) to base 10.\nAnswer: -1997585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*c + 53*c + 464 = 0. Let q(f) be the second derivative of -5\/6*f**3 - 5\/6*f**c + 0*f**2 + 33*f + 3\/4*f**5 + 0. Factor q(b).\nAnswer: 5*b*(b - 1)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(1\/5)\/u)**(-17)*(u*u**9)\/u**(-2\/11) assuming u is positive.\nAnswer: u**(-1497\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/(-3) - 1)*(2133 - -86).\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 42. Let f(l) = -46*l + l**g - 39*l - 13 + 81*l. Let c be f(-5). Calculate the highest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-14)*(-56)\/12. Let f be (-274)\/i + (-6)\/(-4). Let v = f - -115. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 305621, 305622, 305623, 305624, 305625, 305626?\n\"Answer: g + 305620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (602*g + 97*g - 2 - 1508*g + 2)*(-1 + 4 + 0) in the form r + y*g and give y.\nAnswer: -2427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.9 - 10.9. Suppose 2*d = -3*g + 4 + 2, -5*d = -g - 15. Which is the nearest to -1\/6? (a) d (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - t - 2*h - 16, 2*t = -5*h - 16. Suppose -t*u + 4*u = 4. Suppose -3*y + 55 = 4*p, y - 3*p - u*p = 31. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 + 74 + 41 + -22\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-11 + 8) - (16 + -20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.1, 2, 1.6 in descending order.\nAnswer: 2, 1.6, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = -b - 4, 2 = b. Is (69\/12)\/(o\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 2*j**2 + 6*j - 2. Let o be z(-3). Let p be 1080\/28 - (-3)\/7. Let i = p + -15. Is i not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*((sqrt(121) + sqrt(121) + (sqrt(121) - ((sqrt(121) - (sqrt(121) + sqrt(121)*-3 + sqrt(121))) + sqrt(121))*-4))\/(-3*sqrt(1584)))**2.\nAnswer: -275\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 + 57*m = 0. Calculate m.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 7*r - 26. Determine u(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (14 - 3 - 3 - 22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152 + 118 - 163 + 42 - 2*h to c*h + y and give y.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962 is divided by 312?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 379742 and 1353?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**2\/7 + 116*q - 89112\/7 = 0.\nAnswer: -282, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95300*b + 47684*b + 47629*b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 21*o**3 + 29*o. Let u(b) = -22*b**3 - 28*b. Let l(n) = 3*u(n) + 2*z(n). What is the second derivative of l(r) wrt r?\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 7:09 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 9. Suppose w - 6 = -i. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4112, 4042, 3972?\n\"Answer: -70*y + 4182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 2:03 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:42 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.882235 to one decimal place.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.47 - -13.9. Let u = 0.23 - w. What is the second biggest value in 1\/7, u, 3\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 35*a\/2 - 33000.\nAnswer: (a - 275)*(a + 240)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*l**3*s + l**3 + 21*l**2*s - 5*l*s + 59*l - s wrt l?\nAnswer: 120*l*s + 6*l + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085*2609.\nAnswer: 2830765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*x**4 + 32*x - 32*x + (x + 3*x - 2*x)*(-x**3 + x**3 + x**3) + x**3 - 3*x**4 - x**3 + 2*x**4 - 2*x**4 + 3*x**4.\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*-21*(-130)\/(-1560)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = 936. Let k = f + -117. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(7\/4)*t))\/t*t**(-2)*t)**24 assuming t is positive.\nAnswer: t**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-13 - (-4 + -1)) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 48 = a. Suppose 2*c + 2*z = 4, -3*c + 3*z + a = z. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 - 9*s**3 + 10*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 22*f + 6. Let r(y) = 1. Give 5*r(u) - t(u).\nAnswer: -22*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-61)\/2)\/((-6)\/12) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.19 plus 107.13274?\nAnswer: 522.32274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 407\/78?\nAnswer: 407\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30155506223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -56*o. Let l be 28\/13 + (-4)\/26. Let t(s) = -13 + 22 - 9 - 2*s**l. Determine t(d(j)).\nAnswer: -6272*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 11 = 27. Suppose -r*t = 12, -v = -4*v - 3*t - 3. Suppose -3*u - v*u + y = -60, -3*u = 2*y - 36. Solve 4*p = -0 - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -53. Let h be (-54)\/(-10) - o\/(-20). Suppose 3*t = 2*y - 41, 8 = 6*y - h*y - 4*t. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 1. Let o be z(-4). Let f = o - 15. Calculate the remainder when 51 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 2*u**3 - 4*u**3 + 6*u + 67 as q*u**2 + x + p*u + g*u**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 132447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 24747*d. Let n(i) = -50*i - 1. Determine n(y(c)).\nAnswer: -1237350*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -16*a**2 - 7*a + 4. Let k(z) = 40*z**2 + 18*z - 10. What is 5*k(w) + 12*p(w)?\nAnswer: 8*w**2 + 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogaz when four letters picked without replacement from ogoonoaannonnoozno.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -255662 - 313?\nAnswer: -256175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -426746, -1706930, -3840562, -6827636, -10668146, -15362086?\n\"Answer: j**3 - 426730*j**2 - j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 29083, -1, -0.3, 8, -5, -2.\nAnswer: -5, -2, -1, -0.3, 2, 8, 29083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-20)\/12)*(-4)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*u + 17, 4*n + 9 - 26 = 5*u. Let x(i) = 3*i - 2*i - 2 + 1. Let r be x(n). Solve -3*b = -4*c - 11, -3*c = r*c + 2*b - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/44 and -41\/201069704?\nAnswer: 201069704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Suppose w*l = l. Suppose -z + 10 = 5*y + 3, -2*z + 2*y + 2 = l. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(9)\/sqrt(3)) - (sqrt(18)\/sqrt(3))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -184.8\nAnswer: 18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -4 (c) 24 (d) -0.12 (e) 1.4 (f) 52 (g) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -173*r + 151*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*x - j = -133, x = j - 29. Let r be (13 + -8)*x\/(-10). Calculate the highest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2.7, 2, 4\/3.\nAnswer: -12, 4\/3, 2, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 6*a**3 + 15 + 3*a**3 - 16*a - 8*a**2 + 0*a**3. Does 12 divide h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + ((55 - 2) + 0 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 675 + -479. Calculate the greatest common divisor of a and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14428 - 27*w - 14428 - 81*w + 10*w. Let h(l) = -10*l**2. What is b(h(u))?\nAnswer: 980*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4929133 is divided by 197.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253*w**4 + 67807*w**2 + 17474760*w + 1 wrt w?\nAnswer: 3036*w**2 + 135614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2340*g**3 + 2 + g - 926*g**2 + g + 1848*g**2 - 923*g**2 + 0*g to the form m*g + h*g**3 + d*g**2 + r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - (4 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5611610134 a multiple of 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4831 + 9913. Does 76 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1263938*i**3 + 2248*i**2 - 1124*i - 4496. Let v(k) = 7875*k**3 + 14*k**2 - 7*k - 28. Give -7*o(z) + 1124*v(z).\nAnswer: 3934*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1740 = 2*i, -5*j + 3*j + 5*i = -675. Is 11 a factor of 12786\/14 - -5*(-20)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 2, 1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -2*h**6\/9 + 1804*h**5\/5 - 686816*h**4\/3 + 620573408*h**3\/9 - 8804099616*h**2 + 52206766144*h\/3 - 1098. Solve v(m) = 0 for m.\nAnswer: 1, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -273ba - -10183?\nAnswer: -17237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-45))\/((-188)\/(-20)). Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*s = -15*s + s - 75, 0 = 2*c - 0*s - 2*s - 62 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + (-12)\/(-9). Let f = g - 0. Suppose 4*u - 47 = a, -f*u = 3*u + 5*a - 40. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 + z**2 - z + 6*z - 2*z**3 + 0*z as r + k*z**3 + o*z + y*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -1491.\nAnswer: -1491.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 1 - 17 + 37*r as u + o*r and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x**2 + 8852 + x - 17751 + 8896 as v*x**2 + q + f*x and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, b: 2}. Give prob of sequence abb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 0, -1127\/66, 3 in decreasing order.\nAnswer: 3, 0.2, 0, -0.5, -1127\/66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 79\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.020009 from -1214606.\nAnswer: -1214605.979991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*s + 2*s = 3, -1 = -2*t - s. Suppose -7 + 2 = -5*b. Let r be (3 + t - b)\/2. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2252392182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2040\/7 (c) 872 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6500 and 56930?\nAnswer: 37004500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 - 52. Let g = -86.0000011 + b. What is g rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17557?\nAnswer: 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 925 + 7476. Suppose -10501 = -5*m - d, d + l = 4*m + 2*d. What is m rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*u = 60, -3*u - 58 = -t - 3. Let w = 40 - t. What is the closest to w in -0.5, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*q**3 - 21*q**2 + 2902*q?\nAnswer: -318*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*p**3*q - 54*p**3 - 2*p**2*v**2 + 69*q*v**2 - 2*v**2 wrt q?\nAnswer: -29*p**3 + 69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 + 5*h + 5. Let x(w) = -2*w**2 + 16*w - 1. Let p be x(7). Suppose 3 - p = -2*q. Let c(a) = a**3 - 3*a - 3. Calculate q*c(f) + 3*d(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.64012 centuries in decades?\nAnswer: 366.4012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -2*l**4 - 13*l**3\/3 + 13. Find the third derivative of m(x) wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q + 119. Let x be k(-25). Calculate the common denominator of (-6)\/x*4 + 15\/7 and -11\/201.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33914 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645588004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4742073 is divided by 2371028?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 - 272444?\nAnswer: -272442.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8902000 rounded to the nearest one hundred thousand?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 2\/13, 0.037 in decreasing order.\nAnswer: 2\/13, 0.037, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1571*a - 1549*a - 2*x + x + 91, 0 = 4*x - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.071*0.42.\nAnswer: 0.02982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -14. What is the third derivative of -8 - 4 + 12 - t*f**5 - f**2 wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -9. Let b = d + 21. Let t = b - 9.99977. What is t rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -76, -68, -62, -58?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -61152.4, -1 in ascending order.\nAnswer: -61152.4, -1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12674.11 grams?\nAnswer: 12.67411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 2 - 1 - 2. Let x(r) = -1. Let a(t) = -h(t) + 2*x(t). Let i(q) = -q**2 + 1. Let z be (-40)\/7 + (-2)\/7. Determine z*i(p) + 2*a(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -363 in decreasing order.\nAnswer: -2, -5, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 21, -12 in descending order.\nAnswer: 21, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -1333, -1998, -2663, -3328, -3993?\nAnswer: -4658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2\/(-4) - -1. Let r(f) = 2*f**2 - 2*f - 110. Let b be r(-7). Let y = -0.1 + 0. What is the nearest to 0 in u, y, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -706509312 divided by -117751552\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10487290 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhgggzwzwzdzwdwzzdd. What is prob of picking 1 h and 1 w?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = -1. Let p(q) be the first derivative of -1\/18*q**6 + 0*q - 1\/2*q**4 + 4\/9*q**3 + 4\/15*q**5 - 1\/6*q**2 - b. Solve p(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58586095 is divided by 1948.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 737*r - 42332. Give i(53).\nAnswer: -3271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - (-1)\/(-2). Let c be 35*-2*6\/4. Let r be 5\/(c\/(-36)) + -2. Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -65. Which is greater: -11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 25 = -6*w. Solve -4*k = -x - 2*x + 10, -w*x - 14 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l. Let z be (0 - -261) + (l - 1). Suppose 5*n = 6*d - d - z, 5*n = -5*d + 250. Round d to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6*v - v - 116 = 0, -o - 3*v = -124. What is the greatest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35988 is divided by 225.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -396796, -396793, -396786, -396775, -396760, -396741, -396718?\n\"Answer: 2*n**2 - 3*n - 396795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 7 - 238 = 0. Let g = -45 - -94. Let z = g + s. Calculate the remainder when 45 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1737.746 millennia to centuries.\nAnswer: 17377.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2033 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2265712*g**2 + 65705650*g - 58.\nAnswer: -2*(g - 29)*(1132856*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab92 - 1c7a?\nAnswer: -ca2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*c**2*x**2 - 357*c**2*x + 2*c**2 + c - 2610058*x**2 wrt c?\nAnswer: 20*c*x**2 - 714*c*x + 4*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 790 = 4*r, 2*r = -3*g + 394. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 - 655*j - 1281. Determine t(133).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*o + 99, 3*o = -3*m + 8 - 62. Suppose -40 = w + 3*c, 4*w - c + 4*c = -115. Let p = w - m. What is the third smallest value in -0.3, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 647 + 32?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 3:07 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -862 (b) -3\/2 (c) -2\/7 (d) -208 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 3, 1\/4, -0.01.\nAnswer: -0.01, 1\/4, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3509 + 3508. Put 1\/2, -0.36, 4, v in descending order.\nAnswer: 4, 1\/2, -0.36, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b9c (base 13) to base 8.\nAnswer: 104177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/4*(-14 - (-5662)\/399).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 - 6*n**2 + 2*n**2)*(-1 + 4 - 2)*(n**2 - 5*n + n**2 + 2*n) to the form v*n**4 + r*n + c*n**3 + w + g*n**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 287*v + 2873. Let x be y(-10). Solve -x*k + 10 = 4*l, 3*k - 5*l = 6 - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {c: 2, x: 7, u: 3, p: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.066 and -0.02.\nAnswer: -0.04132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1051419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 45 = -6*c. Put -4, 1, c, 2 in decreasing order.\nAnswer: c, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 5*j - 11. Suppose 5*l - 26 - 4 = t, 0 = 4*t. Suppose 147*n = 149*n + l. Calculate h(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -1\/14, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/3 + 70468*x**2\/3 + 70466*x\/3 = 0. What is x?\nAnswer: -35233, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 88?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 60, 85, 110, 135, 160?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -r + 3410, 4*f = 4*r + f - 13640. Suppose 16*z - 6*z = r. Suppose -6*c - z + 917 = 0. Which is smaller: 97 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13247, 13269, 13311, 13379, 13479, 13617, 13799, 14031?\nAnswer: 14319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 17943481 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggox when four letters picked without replacement from {g: 3, o: 5, v: 2, x: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -36?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert e2 (base 15) to base 6.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1408997453 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 1297140481.95482.\nAnswer: 1297140482.15482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*a, -k - k + 4*a = -20. Solve 3*s - k = -0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6256 and 78798?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/13 (b) -0.19 (c) 1.77 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from swgugwggggwwgwwsgw.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13501689?\nAnswer: 3, 17, 264739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-10))\/(6\/(-15)) - 4. Let l(k) = -k**2 + 8*k. Let a = 6 + 0. Let p be l(a). Solve 2*d + 4*m - p = m, -m - 13 = -z*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1493, 1424, 1301, 1118, 869, 548?\n\"Answer: -f**3 - 21*f**2 + f + 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.98912 millennia to centuries.\nAnswer: 159.8912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-18)\/(-4) - 50065\/(-3230).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 6) in base 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -53609034.\nAnswer: -1\/53609034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 4*n**3 + n**3)*(-7*n - 11*n + 5*n).\nAnswer: -26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2 - 113098*u + 2600725 = 0.\nAnswer: 23, 113075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -771? (a) 0.01 (b) 0 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*(-203 - (-11508)\/56)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/34785 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 - -6. Let z = 3 - -1. Suppose -3*b - 21 = -2*b - 5*c, c - 2 = -2*b. What is the closest to b in z, w, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253*b + 30921 = 672*b + 3614 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10101397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 5*k**2 + 7*k + 2. Let v be f(-2). Suppose m + 38 = 4*a, -5*a + v + 17 = 2*m. Solve a = 4*s - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23677929.\nAnswer: 3, 11, 239171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 11*l**5\/10 - 556*l**2. Let z(y) = 5*y. Give p(z(f)).\nAnswer: 1650*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t + 39\/2*t**2 - 59\/20*t**5 + 241 - 1\/4*t**4 + 0*t**3. Find the third derivative of b(n) wrt n.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h - 9*h + h)*(12*h**4 + 50*h - 50*h).\nAnswer: -144*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 113 - 21 = -48. What is the remainder when 18334 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 461*b + 1. Let q be i(1). Let c = -46 - -46. Suppose 5*d + 2*r - 202 = c, -d + 92 = d - 2*r. Calculate the greatest common divisor of q and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k. Let m(h) = -131715050*h. What is m(c(b))?\nAnswer: -263430100*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562690.\nAnswer: 2, 5, 56269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2. Suppose -4*v - 8 = -g, 0*v + 10 = -5*v. Let l(j) be the third derivative of 0*j**4 + 0*j + 0*j**3 + g - j**2 - 1\/30*j**5. Calculate t(l(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -368 + 518. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 10*s**2 + 11*s + 6. Let u(d) = -d**3 + 3*d**2 - 4*d + 4. Let b be u(3). List the prime factors of n(b).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24846*b - b**2 + 24846*b + 5*b**2 + 10 + 8 - 4*b**2 + b**3.\nAnswer: b**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7499\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 - 4. Let s be n(3). Suppose 4*q + a - 23 = 0, a - 30 = -s*q - 1. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -400, -398, -396?\n\"Answer: 2*r - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/9 (c) 2 (d) 3\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 t when four letters picked without replacement from {k: 4, t: 2, b: 7, n: 1, s: 6}.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 125555 divided by 25111?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -557, -556, -555?\n\"Answer: u - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + 106. Let t(m) = -4 + 22*m - l*m - 6*m. Suppose 0*s = -4*s - 12. Give t(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133 + (-26 - (-11 + -29) - 50)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1039*v + 804 = 1041*v - 2*a, 0 = -v - 2*a + 405. Is v smaller than 2008\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*k = 41, 3*u - 4 = 4*k - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 6*x + 134 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 23 + 22 + i**2 - 76 + 8*i + 29. Give a(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.2 + -52. Let l(s) = -25*s - 1. Let n be l(-1). Suppose -2*y = -4*h - n + 4, h = -5*y + 17. Which is the closest to 2\/5? (a) q (b) h (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.20338kg to tonnes.\nAnswer: 0.09520338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/12 - x**3\/6 - x**2 - 22*x. Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, 0.126, -0.3 in ascending order.\nAnswer: -0.3, 0.126, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 647064094 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 457 = -1783. Does 11 divide w\/(-1 - 0 - (-21 - -21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24400538.52 to the nearest one thousand.\nAnswer: -24401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-2 + sqrt(17))**2 + sqrt(17) - ((sqrt(68) + (sqrt(68)*-2 - sqrt(68)))\/sqrt(4))**2)*5.\nAnswer: 5*sqrt(17) + 24225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.19803 + 0.17603. Let m = -24 - i. Let w = -0.0187 + m. Round w to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 2*w**2 + 3*w**2)*(-1 + 3 - 3) + 1 - 1 + 3*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/14 and -57\/44848.\nAnswer: 313936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**3 - d**2 + 8*d. Let g be x(-1). Solve 0 = g*m - 3*i, 2*m - 3*i - 9 = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + ((-3)\/3 - -2). Factor -2*a**5 - z*a**3 + 2 - 10*a + 7*a**4 - 9*a**3 + 20*a**2 - 2*a**3 + 3*a**4.\nAnswer: -2*(a - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 5 - (36 + -34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19374, -4, 3, 11 in ascending order.\nAnswer: -5, -4, 3, 11, 19374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjmjjmjjj. Give prob of sequence mj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*((-8 - -12) + -3). Let s(v) = -6763*v**3 - 4*v**2 - 3*v - 1. Is s(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:46 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/((-28)\/(-756))*2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655 is divided by 154?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 0 - 18) + 12 + 45 + 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-69)\/690)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15*m = -2856. What is the smallest common multiple of 8 and m?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-12)\/(-4)) - (-12)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2855632759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10269 and 14?\nAnswer: 20538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3872481 millilitres?\nAnswer: 0.0003872481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(14)\/sqrt(2) + (1 + sqrt(112))**2.\nAnswer: 9*sqrt(7) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 142, 139, 134, 127?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/3 - j**2\/2 + j. Let q be w(1). What is the units digit of (0 + q)\/(-1) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648427427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7125 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 76766.9 to the nearest 100.\nAnswer: 76800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5) - (-1182)\/(-15). Suppose -1222 = -20*a - 1242. Put o, -3\/5, a, 1 in descending order.\nAnswer: 1, -3\/5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -329, -325, -307, -269, -205, -109?\n\"Answer: k**3 + k**2 - 6*k - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r - 4. Let a(x) = 5 + 18 + 28 - 12 - 51*x. Let f(s) = 2*a(s) + 21*c(s). Determine f(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 3*v + 2*v)*(16 + 3 + 1) + 1 - 1 + v + 415 + 19*v - 416 - 7*v in the form m*v + n and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3541 and 143\/998562.\nAnswer: 998562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, d: 3, t: 2}. Give prob of sequence wdwd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/63*3\/(-6)*-14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*13 + 11\/33. Is (822\/g)\/((-4)\/(-6)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p = -61 + 14 - 70 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6794 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -12*q - 17. Which is the smallest value? (a) -0.2 (b) q (c) -2\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3080 + 3080.41. Sort 3\/5, w, 82 in ascending order.\nAnswer: w, 3\/5, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4408.29 to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:08 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 3*t - t)*(-7*t - 46*t - 2 + t) in the form q*t + a*t**2 + h and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18*(-12087)\/158?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 327 - 234. What are the prime factors of i?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*m**3 + (0*m - m + 0*m)*(0*m**2 - 2*m**2 + 3*m**2) - 28*m**2 + 28*m**2 + 2*m**3 + (-m - m + 0*m)*(6*m**2 + m**2 - 6*m**2).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/16 (b) -5 (c) -2 (d) -4 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204792\/5473 bigger than 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 444, 910, 1402, 1932, 2512, 3154, 3870, 4672?\n\"Answer: 2*s**3 + s**2 + 449*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 44 (b) 0.3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38013134*s**5 + 2*s**4 + 209663029*s**2.\nAnswer: -2280788040*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/6 - o**3\/3 + 23*o. Factor z(u).\nAnswer: -2*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -749*b**5 + b**3 - 28*b - 49 wrt b?\nAnswer: -14980*b**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 19, 41, 69, 103, 143?\n\"Answer: 3*d**2 + 7*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157691677?\nAnswer: 11, 13, 17, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24681*i**4 - 2*i**3 + 4*i**2 - 156941*i + 6 wrt i.\nAnswer: -296172*i**2 - 12*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 6. Let h(f) = -f**3 - 5*f**2 + 3*f - 4. Let w be h(-6). Let n be w\/8*20\/5. Does 4 divide r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d - 351*d - 225*d + 99*d)*(-7 + 6 + 0).\nAnswer: 457*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193248 divided by -792.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 12*o**2 + 5*o**2 + 6 as x*o**2 + v + l*o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2878616914 and -6.33.\nAnswer: -2878616920.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + 3*j - 7, 2*j - 30 = -5*u. Calculate the greatest common divisor of 9 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*y + 72, -4*x + 0*y - 92 = -3*y. Is (x\/(-6))\/((-6)\/(-9)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(228) - (sqrt(228) + sqrt(228)*-2 + sqrt(228) + sqrt(228)))\/sqrt(12))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-4)\/(-6)*-1. Suppose -h*v = 3*v + 5. Is (-2)\/v*(-14)\/(-4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 2*m**3\/3 - 39*m**2 + 4*m - 272. Determine j(9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1\/9, -4, 2\/5, 5, -34228?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(1\/6)\/b)*b)**(3\/7))**12*(b\/b**(2\/9)*b**(-1\/14)*b)\/((b*b\/(b\/(((b*b**(3\/5))\/b)\/b)))\/b**(-2\/19)) assuming b is positive.\nAnswer: b**(26629\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8308 + -2?\nAnswer: -830a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 8:52 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Let v(h) = 77*h + 10. Let k(z) = -4*d(z) - 2*v(z). Let w be k(-3). What is w rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -24, -64, -140, -264, -448, -704?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 + -18. Let q = s + 4. Let n = 111.939 - q. Round n to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-64)\/80)\/4)\/((-38)\/(-20330)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58956 divided by 51\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -946 equal to -505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16878, 0, 3, -6, -4, -1 in ascending order.\nAnswer: -16878, -6, -5, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1.29 (c) -3\/2 (d) -56\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((-15)\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/4 + 17*c**2\/4 + c - 17 = 0.\nAnswer: -2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 380680657 to the power of 1\/3, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1, 4*s - 13*a + 5 = -12*a. What is the remainder when (-4*957\/88)\/(s\/4) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 628 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzjj. What is prob of picking 1 z and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10589036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*z - 6, -z - 4*l + 8 + 13 = 0. What is the remainder when 35 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 11 = 2*o + 5*d, 0 = -5*o - 3*d + 29. Suppose -166 + 50 = -o*i. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5170138 nanometers in millimeters?\nAnswer: 0.0000005170138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1101854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/63 and -76\/987.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -15*z + 89, 1 = -z - 4*y + 3 + 8 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 88 = -5*m, 0 = -17*m + 22*m + 2*t - 108 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 5*h + 2. Let a be s(-3). Let y(t) = -2*t - 6. Let p be y(a). Suppose 2*w = -1 + 5. Solve 1 - w = -k, -l - k = -p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - ((sqrt(85) - (sqrt(85) - (sqrt(85) - (sqrt(85)*2 + sqrt(85)))))*6 + sqrt(85))) + sqrt(85))\/((sqrt(5)*-2 + sqrt(5))*-2).\nAnswer: 13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.027665 - 20040676.\nAnswer: -20040674.972335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.961 - 0.039. What is the closest to -2\/5 in z, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + 3*t - 3. Let w be 1\/(-4) - (-123)\/12. Let b(i) = 6*i - w*i + 5*i**2 + 8 - 4. Let g(y) = 3*b(y) + 4*p(y). Factor g(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291, -5, 23, 7, 5.\nAnswer: -291, -5, 5, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + z**2 + z - 1. Let s(j) = 2*j**3 - 2*j**2 - 4*j + 5. Let i(b) = -4*a(b) - s(b). Let t(y) = -2*y**3 + 2*y**2 + 1. Give -3*i(r) - 2*t(r).\nAnswer: -2*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**3 - 15*d**2 + 6. Let r(s) be the first derivative of 56 - 7*s + 16\/3*s**3 + 0*s**2 - 9\/4*s**4. Determine 6*r(p) + 7*x(p).\nAnswer: 2*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2. Let m(i) be the second derivative of i**4\/6 - 8*i - 4. Calculate m(o(f)).\nAnswer: 98*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1420178.968686 - -0.031314. Let f = b + -1420290.9941. Let c = 112 + f. Round c to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 10*r - 3*d + 1 + 11, -570*r - 1702 = 4*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 2*f + 12*f + 4*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.048, -1\/3, 0.3.\nAnswer: -1\/3, -0.048, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -11. Suppose 7 = -4*r + 39. Let a be r\/(-12) + 16\/6. Sort 0, x, a in descending order.\nAnswer: a, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 11*f - 11. Let h be n(8). Suppose -9*j = -h*j + 16. Solve -c - 4*t + 6 = -0*c, 5*c - j*t - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20029 at most as big as -20029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/6 - 319*b**4\/3 + 1953*b**3\/2 + 11648*b**2\/3 + 1270*b\/3 - 5176 = 0.\nAnswer: -647, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 304\/561 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66619?\nAnswer: 7, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 46, 61, 72, 79, 82?\n\"Answer: -2*h**2 + 25*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2591*y**3 - 4*y**2 + 8*y + 24. Let b(h) = 2590*h**3 - 3*h**2 + 6*h + 18. Calculate -4*b(i) + 3*d(i).\nAnswer: -2587*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let w(d) be the first derivative of -d**4\/4 - 2*d**3\/3 - d**2\/2 + 2*d - 3. Let b be w(-2). Solve b = -j - n*j - p, 0 = j - 4*p - 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000010010000010 (base 2) in base 12?\nAnswer: -32716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.22 - 0.22. Let n = s + -3.6. Let b = 0.3 + -0.8. Sort b, n, 0.7 in decreasing order.\nAnswer: 0.7, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 5.5. Sort 1, 0.3, q in increasing order.\nAnswer: 0.3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5050*h**2 - 3316*h - 20397897 wrt h?\nAnswer: -10100*h - 3316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -14*s + 13*s. Let y = 194 - 192. Put 2\/3, -3, y, s in increasing order.\nAnswer: -3, 2\/3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/4*117344\/456?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-35)\/21)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65.3814 from 0.8832845.\nAnswer: -64.4981155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 16*t + 90. Let q(i) = i - 36. Let p be q(36). Is 10 a factor of n(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58 and 71077?\nAnswer: -4122466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2909 - 1139. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418201367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*a - 21 = -3*t, 3*a - 2*t = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -13115?\nAnswer: -2098.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/4 - 377*s**3\/4 - 6477*s**2 + 20087*s - 13516 = 0.\nAnswer: -62, 1, 2, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -244910\/13 > -18840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(425) - (1*sqrt(425) + sqrt(425)))*1 - (sqrt(425) - -6*(0 + sqrt(425))) - (1*(sqrt(425)*5 + sqrt(425)) + -4)) + 5)**2.\nAnswer: -1400*sqrt(17) + 83400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-15\/2))\/(l*l*(l**(-9)\/l)\/l*l*l))\/(l**(-1)*l**(-18)) assuming l is positive.\nAnswer: l**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 640834 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*t + 24, -6*z + 11*t + 52 = 6*t. Calculate the remainder when 2\/(-1 + (-22)\/(-20)) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15028019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 44453 and 44453 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 40*w + 16. Let j be g(4). Suppose -3*a + 192 = a - 5*i, -i = -4*a + j. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39762 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8*17\/85?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 17 = -2*n, -183 = n - 187 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.90223 milliseconds?\nAnswer: 0.000000033590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81\/4*b - 45\/2*b**4 - 123\/2*b**2 + 63*b**3 + 3\/4*b**5 + 0.\nAnswer: 3*b*(b - 27)*(b - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60600000 to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-12)\/(-42) + (-9825)\/(-35)). Which is smaller: q or 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, w: 1, a: 2}. Give prob of sequence aw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/120 and -121\/1754320.\nAnswer: 5262960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -436 - -787. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3*j)\/j*j\/(j*j**(-2\/9)\/j))\/((j*j**(-3))\/j*j\/j**1*j))**(-11) assuming j is positive.\nAnswer: j**(-616\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/1386 + 20\/(-110)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.26 * -57244.\nAnswer: 1388739.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**10*x*x*(x*x**(-5\/2))\/x*x)\/((x\/(x\/(x**(-2\/9)\/x)))\/(x\/x**(-3\/2))))**(19\/2) assuming x is positive.\nAnswer: x**(1216\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k. Let u(t) = 597*t - 57. What is h(u(b))?\nAnswer: -1194*b + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/5)\/(x*x**(-15)*x*x) assuming x is positive.\nAnswer: x**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 - 5*r - 4. Let p be f(-1). Suppose 5*j = 2 + 28. Let s = j - p. Calculate the lowest common multiple of s and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 707129*h**2 + 673663?\nAnswer: 1414258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-19 - (0 + 4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39567427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 41\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s. Let f(v) = 26677*v. Give f(k(y)).\nAnswer: -53354*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 337040?\nAnswer: 3033360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2 + (-99)\/(-66). Suppose -h*t + 1815 + 2268 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -79.\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 2. Suppose 5*b - k = -39. Let s(g) = g**3 - 5*g**2 - 5*g - 8. Let f be s(6). Sort b, -1, f in decreasing order.\nAnswer: -1, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11144?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -971\/10. Let x = 2.26 + -4.26. Let d be (-4)\/14 + 10\/35. What is the nearest to 1 in d, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(156) - 1*1*sqrt(156) - sqrt(156))\/(6*sqrt(24)\/sqrt(2) - sqrt(12)))**2.\nAnswer: -112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12509, 224, -3, 9 in increasing order.\nAnswer: -3, -2, 9, 224, 12509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2*i**2)*(-808*i + 1780*i - 873*i) + (-4*i + 6*i - 3*i)*(-97 - 2*i + 46 - 5*i**2 + 50) to the form w*i**2 + p*i + b + g*i**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 5, -4.19, -75, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpkpkkk. What is prob of sequence kp?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87 - (42 - -16)) + 24.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 1. Suppose 284*d - 42 = 290*d. What is h(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 2*y + 5. Let d be p(4). Let k be d\/(3 + -6)*4. What is the third derivative of h**2 + 4*h + k*h - 8*h - 3*h**5 wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n = 15*n + 75. Which is the closest to -0.1? (a) n (b) -12 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.9, -4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1001000110011101000 (base 2) to base 8\nAnswer: 1106350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**2. Let x = -282 - -283. Give h(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/120 - g**5\/10 - 7*g**4\/24 + 3*g**2. Let p be a(6). Let j = 78 + p. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i**2 + 75*i. Let k(l) = -4*l + 202. Give v(k(w)).\nAnswer: -240*w**2 + 23940*w - 596910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3934*k**2 - 7900*k**2 + 3948*k**2 + 2*k**4 + 24 + 8*k = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*w**2 + 4*w - 4*w + 2 - 342*w**2 - 233*w**2 as o + i*w**2 + z*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1510)\/(-510) - (11890\/(-1479) - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -611*w. Let r(d) = 6*d + 5. Calculate r(f(b)).\nAnswer: -3666*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**2 + 4 + 5*t - 3 - 1 - 5*t**5 - 10*t**4.\nAnswer: -5*t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9 + 5. Let s = 6.164 + -1.164. What is the fourth biggest value in k, s, -0.8, -0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -44*u + 19. Is o(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 723, 1089?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2*(-18)\/(-40))\/3)\/(1425\/950).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 5*c - 2*t + 182, 0 = -c - 3*t - 79. Suppose 5*k - w = -383, 3*k + 2*w + 16 = -206. Let a = c - k. Solve 4*m + 0*m - a = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/8880 and -109\/130870?\nAnswer: 116212560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/5 - 491*o**4\/5 + 60023*o**3\/5 + 61007*o**2\/5 - 60024*o\/5 - 60516\/5 = 0. Calculate o.\nAnswer: -1, 1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let u be y(-2). Suppose 2*v = -2*v + u. Solve q - 2 = v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291885 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*o - 80*o + 91*o = 13320. Calculate the remainder when o is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 + 104*f + 20. Let j be k(26). Let c be (1 - 2)*-1 + 8. Let u = -9 + c. Solve 0 = -u*i + 5*i + j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9194 or 18385\/2?\nAnswer: 18385\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 791 and 752919.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 27181.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/104 - 76\/(-13). Let p = -82.7 - -83. Let t = -67.6 + 68. Sort p, t, 2, a in descending order.\nAnswer: a, 2, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = u - 8*u + u + 9*u, 14*u - 5*u = 3*o - 57 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 91\/(-35))*(-20)\/(-4). Suppose -9 = -2*u - u + k*o, 5*u + o - 9 = 0. Let 1\/3*r - 1\/3*r**3 + 1\/2*r**4 - 2\/3*r**u + 1\/6 = 0. What is r?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.221013 and 590?\nAnswer: 594.221013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + 5. Factor -2*t**2 + 32*t**4 + 6*t**l - 12*t**5 - 22*t**3 - 2*t**5.\nAnswer: -2*t**2*(t - 1)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185 and 265549?\nAnswer: 1327745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/24 + v**4\/3 - 2*v**3\/3 - 5*v**2. Let m(l) be the first derivative of x(l). What is the first derivative of m(b) wrt b?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10425136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 + 726420*x - 686303415 = 0. Calculate x.\nAnswer: 951, 144333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228594?\nAnswer: 2, 614297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 102 = 22*i. Sort 5, -41, i in descending order.\nAnswer: 5, i, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/86260 and 45\/966112?\nAnswer: 4830560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*-9999453\nAnswer: 39997812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*a**3 + 164.\nAnswer: -171*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, 4\/3, 23464\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 233*d*l**3*w + 1699*d*l**3 + 8*d*l**2*w - 3*d*l**2 - 2*d*l + 2*l*w with respect to w.\nAnswer: 233*d*l**3 + 8*d*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(208) + 1)*4 + 5))**2.\nAnswer: 288*sqrt(13) + 3409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6743 divided by 6\nAnswer: 6743\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 266*j**2 - 139*j + 1540. Differentiate h(b) wrt b.\nAnswer: 532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 37*(-7)\/(-49) + 2\/(-7). Suppose r*h = -2*v + 6763, 2*h - 1627 = -5*v + 1095. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6131774 - 5*o**3 + 3065894 + 3065880.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107044 divided by -3823.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -112.8975913 and -152.\nAnswer: -264.8975913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, -1180, -3246, -6140, -9862, -14412?\nAnswer: -19790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 341 + -140. Suppose 5*c + h = 8*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 - 3*v**2 + 0 + 2*v**2 - v**2 + 5*v**2 - 2*v**2 + (-v**2 - 3*v**2 + 6*v**2)*(1 - 3 + 3).\nAnswer: 3*v**2 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16143?\nAnswer: 3, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 327147345 a multiple of 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24223938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59501 - -59?\nAnswer: -59464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(70) + (sqrt(70) - (sqrt(70) + (2*sqrt(70) - sqrt(70))))) - 3*(sqrt(70) + (sqrt(70)*1 - sqrt(70))))*-4)\/((sqrt(3240)*1)\/(-2*sqrt(4)*-4)).\nAnswer: 32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/60 - 11*s**4\/24 + 7*s**3\/6 - 5*s**2 - 16. Give h(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 1, -16, 4 in decreasing order.\nAnswer: 4, 1, 0, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 5*w**2 + 2 + 2*w**2 - 2*w**2.\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -136*((-220)\/528)\/(25\/(-10))\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*j + 12, 0*j = 3*f + 3*j - 12. Suppose -3*y + 19 + 1 = -2*c, -4*y - 47 = 3*c. Let b = c + f. Put b, 3, -3 in ascending order.\nAnswer: b, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 + 27*u + 7. Let t be f(-5). What are the prime factors of t*(-1 + -3 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**3\/3 - 13*i**2\/2 + 68*i + 606. Factor t(d).\nAnswer: -(d - 4)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.83 - 24.53. What is the nearest to -1 in 4\/5, 0.04, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 5*l**4 + 5*l**3 + 8*l - 2*l**2 - 2*l**4 - 3*l**3 to the form w + z*l + x*l**4 + a*l**3 + d*l**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/640809 - -854408\/640809. Factor x*i + 1\/3*i**3 + 0 - 5\/3*i**2.\nAnswer: i*(i - 4)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*v = 9, u - 6*u - 4*v + 3 = 0. Suppose 85*d + 27 = 88*d. Let c(m) = 3*m**3 - 24*m**2 - 27*m - 1. Let h be c(d). Which is bigger: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*t + 10, x - 4*x + 6*t - 12 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*h + 14. Solve -6 = h*n - 2*m, 0 = -5*n + m - 3 - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 0.063?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1314*o - 1321*o + 6825 = 0. Round o to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1461064 to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 287*k**2 + 25*k + 31. Is c(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3707989*l*m**3 - 675*l*m**2 - 1108*l wrt m.\nAnswer: -22247934*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/2 - 12*x**3 + 33*x**2\/2 + 48*x - 90 = 0. What is x?\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 17054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 - 3653*o = 0. What is o?\nAnswer: -3653, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from rrzzf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.048 - 0.057. Let z = 17.984 + -18. Let t = z - f. Round t to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and 3\/61 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -43*k + 45*k - 1980, 0 = -2*t + 5*k + 1945. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119856\/7 - -17122. What is the second smallest value in 1\/4, -1\/2, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -4821943313061.\nAnswer: -4821943313061.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*k**3 + 92*k**3 + 64*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/257, 4\/5, 1, -2\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2294 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000211261 to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291*f - 9260*f**2 + 205*f - 496*f)*(1 + 0 - 2 - 5 + 4 - 1 + (3 + 1 - 2)*(-2 + 1 + 0) + 4 + 0 - 2 - 5 + 2 + 2).\nAnswer: 37040*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71043 and 5373.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1764 and 87423\/4508*(-10)\/(-3)*2\/(-150).\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 17*z + 21*z + 7*z to the form x + f*z and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-314)\/(-8). Let j = 22 + t. Suppose -7 = -2*o + j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - o)*(-3 + 0 + 0) + (25*o - 93*o + 35*o)*(34 - 68 + 58).\nAnswer: -795*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(14301\/6)*(-1 - 2). Let q = g + -472\/2043. Is q smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1888560*i**3 + 1986872?\nAnswer: -5665680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p**3 - p**2. Let t be v(1). Suppose 5*w + 3*d - 230 = -2*d, -5*w + 239 = 2*d. Calculate the highest common divisor of w and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13212 and 1009404?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 893.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104679229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 12:32 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 90190903 divided by -2?\nAnswer: -90190903\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*-2*12\/(-184)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 4. Let m(t) = 23160 - 48*t**2 - 23160. What is m(l(q))?\nAnswer: -192*q**4 + 768*q**2 - 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2) + (0 + 0)*-1. Suppose -5*p - 5*f + d*f = -195, -2*p = f - 78. What is the greatest common divisor of p and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/20 and 39\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -34*k. Let o be x(-1). Suppose 3*d + 38 = 50. Calculate the remainder when o\/d + (-3)\/2 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**8\/336 - 7*c**5\/30 + 24*c**2. What is the third derivative of t(f) wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -319, -320, -323, -328, -335, -344, -355?\n\"Answer: -c**2 + 2*c - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/252 + 6\/27)\/(28\/(-490))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*t - 4)*(t - 3*t + t) + t**2 + 6*t**2 - t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -0.88. Let r = i + -0.2243. Let y = 0 + r. Round y to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2524503005 - 1?\nAnswer: 2524503004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741168346 to the nearest integer?\nAnswer: 27224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:29 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 42045.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300640?\nAnswer: 2, 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/12*288\/(-2112))\/((-4)\/(-16))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - o - 500 = 0, -4*u + 322 + 333 = o. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t, -3*x + 2*t = -8*x + 17. Suppose -x*n - s + 120 = 0, 0 = -n - 4*n + 3*s + 100. Calculate the remainder when 68 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(18) + 1*sqrt(468).\nAnswer: 19*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/7 + -4 - 22\/(-2). Let x(w) = 4 + 6*w**2 + 5 - c. Determine x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -68 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -12245*i**9\/504 + i**5\/30 + 114*i**4 - 46*i**2 + 9. Find the third derivative of j(d) wrt d.\nAnswer: -1469400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1074310104 divided by 18312\nAnswer: 58667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + -48. Let h be (-193 + (-1)\/(-1))*1. Let v = r - h. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:38 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjsjucj. Give prob of sequence jcw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - w + 44, -w = -4 - 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 64.1. Let x be (1\/(-6) + 0)*2. Which is the closest to 0.1? (a) -3 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -849\/296 - -109\/296. Suppose -3*d + 0*d + 3*x + 66 = 0, -4*d - 2*x = -106. Let p = d + -77\/3. Put p, -1, -0.3, f in ascending order.\nAnswer: f, -1, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468692984 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x - 6. Let m be x\/2*(-5 - -4). Let a(b) be the first derivative of -3*b**2 + b - 1. Determine a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-15)*8\/(-64).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 16 = -5*g, -t = 2*g - 17. What is the highest common factor of t and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w - 758. Let a be p(54). Calculate the highest common divisor of a and 4407.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (469 - 469 - 29*f**2 + (10*f + 66 - 66)*(-3*f + f + f))*(-25*f**2 - 19 + 5*f**2 + 19).\nAnswer: 780*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)*y*y**(-4\/15)\/y*y)**5)**(2\/27) assuming y is positive.\nAnswer: y**(29\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, 1, -1, 3, -4, -49 in decreasing order.\nAnswer: 3, 1, -1, -4, -49, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1711 divide 43071003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, b: 11, c: 1}. What is prob of picking 2 b and 2 s?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2179*z + 2187*z - 6568. List the prime factors of z.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 13. Let b(w) = -2*w - 19 + 18 - 25 - w. Let m(s) = -2*b(s) + 5*n(s). Suppose -3*f + 6*f = k - 3, -f - 11 = -2*k. Determine m(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 17*s - 20*s = -4, -2*s + 8 = 0. Solve g + 5*m = o*g + 29, -3*m + 15 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 15 = 4*j. What is the units digit of j\/(-10) - 258\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, o: 1, r: 1}. Give prob of sequence oror.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -180\/68639?\nAnswer: -180\/68639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -577*p + 2. Let l(t) = 4*t**2 + 32*t + 16. Let z(x) = 8*x + 4. Let v(r) = 2*l(r) - 8*z(r). Determine j(v(b)).\nAnswer: -4616*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 202*b**4 + b**3\/3 - 613*b**2 + 5087. Find the second derivative of x(i) wrt i.\nAnswer: 4848*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from itdrxtd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -69. Let d(t) = t**3 - 19*t**2 + 33*t + 20. Let r be d(n). Sort 0, r, 2, -3 in decreasing order.\nAnswer: r, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 70465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 68*x - 131*x + 63*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48ab - -4?\nAnswer: -48a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**3 - a**2 + a**4 - 2*a - 4*a**4 - 6*a**4 + 7*a**4 - 1 in the form i*a**2 + u*a**3 + w*a**4 + g + z*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -888 (base 10) in base 3?\nAnswer: -1012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 5*w - 2 + 13*w**2 - w**3 - 3*w**2 - w. Let z = -10 - -16. Let b be h(z). What is the greatest common factor of 51 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 10. Let m(k) = k + 9. Let p(r) = 4*l(r) + 5*m(r). Let u be p(-3). Suppose 5*b - 31 = 2*b + z, -10 = -u*z. 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: -1615 divided by 242\nAnswer: -1615\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3850*h - 19 + 41 - 22 - 3047*h.\nAnswer: 803*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 - 1607*o - 1616*o - 1612*o - 1609*o + 6447*o.\nAnswer: 3*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3080?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121301300 - -1?\nAnswer: -121301233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*x - 28, 0*w + 2*w = -8. Suppose -x*l - 3 = -19. Suppose 0 = -l*g + 340335 + 67659665. Round g to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-428)\/(-14) - 2\/(-28)*-8. What is the tens digit of 12\/((16\/j)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31272068 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -7 + 91. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6774 - 22156?\nAnswer: -14272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjs when four letters picked without replacement from {s: 6, j: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/19 (c) -0.03 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -58.89. Let k = s + 6.88358. Round k to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020059 to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 3*w + 140. Let f(y) be the third derivative of 0 + y**2 + 1\/24*y**4 + 0*y**w + 0*y - 1\/15*y**5. What is f(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*l**5\/3 + 48*l**4 - 208*l**3\/3 - 320*l**2 + 96*l = 0. Calculate l.\nAnswer: -2, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.014 + 5?\nAnswer: 238.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33 - 16 - 2*d + 21 + d - d - d + (6 - 12 - 3)*(-20 + 20 + d).\nAnswer: -12*d - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 7\/796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.3? (a) 2\/5 (b) 2\/59 (c) 3 (d) -1 (e) 4\/5 (f) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 + 555*d**4 - 21060*d**3 + 291600*d**2 - 699840*d = 0. What is d?\nAnswer: 0, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111 + 11100?\nAnswer: -1111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/7 - 29\/(-15))\/(104\/130)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*r - 77 = 0, 11*m = 9*m - 2*r + 32. Calculate the highest common factor of m and 4459.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i - 2. Let j(z) = -4*z + 1. Suppose -31*r = -27*r - 20. Determine r*j(q) + 2*n(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*u, -5*g + 10 = -2*u + 5. Solve 6 = -g*b - q - 3, 0 = 3*b + 4*q + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + ((-2)\/(-8) - (-6279)\/(-2268)). Let j = -16\/27 + s. Which is the biggest value? (a) -1 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-1380)*30*(-102)\/3)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**8\/182 + 17*m**7\/1365 - 3*m**6\/260 - 19*m**5\/390 - m**4\/52 + 2*m**3\/39 + 15*m**2 + 3. Solve q(r) = 0.\nAnswer: -1, -2\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 0, -15*f = 13*f - 23*f + 2*x - 1120. Solve f = -35*i + 49 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 5*-5*(sqrt(343) + 1 + sqrt(343)*1))*3.\nAnswer: -1050*sqrt(7) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 45. Let c = -6 - 5. Sort b, c, 2\/11 in decreasing order.\nAnswer: b, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65.4611 + -65.5. Let x = 0.0193 + y. Round x to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-36)\/693)\/(44\/(-308))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 26 + (-9 - -9) - 74.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232861 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/1029*84*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 14150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -138 + (17 - -51)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.233638 milligrams?\nAnswer: 9233638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 5:01 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100121212 (base 3) in base 14?\nAnswer: 27b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/282, 7\/5.\nAnswer: -2, -1\/282, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-eight sevenths of a week in minutes?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 3*k, 0 = -188*k + 187*k + 1. Solve -7*z + 3*z + 2*w + 4 = 0, 4 = l*z - 2*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451630 plus -530748.89?\nAnswer: 1920881.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5786)\/(-33) + 4*1\/6. Let y = t - 103. Let i = -39 + y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.94 - 85.94. What is the second smallest value in 0.1, 1\/2, 0, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 241.8 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -896*p**3 - 1 + 897*p**3 + 0 - 3*p**4 to j*p**2 + i + d*p**3 + x*p**4 + r*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.4792 years in months?\nAnswer: 10493.7504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -18*n + 770. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 45 = -0*p. Suppose -4*o - 5*o = -p. Let b(v) = -2*v - 9. Let n be b(-6). Solve -3*m - 30 = 5*y, -2*y - 16 = o*m - n*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5 + 215*a**4 - 1170*a**3 + 2260*a**2 - 1480*a.\nAnswer: -5*a*(a - 37)*(a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18)*((-210)\/12 - -22). What is the second smallest value in -0.2, -4, -0.1, n, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let o = 10 - 6. Let k(f) = o*f - 5*f - 4*f. Calculate b(k(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*k - 3 = 0, -4*n + 5*k + 3 = 2*k. Suppose -a + 2*a = n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 7*p**2 - 8*p - 10. Suppose -x + 27 = -4*q, -7*q = -11*q + 5*x - 39. Calculate the lowest common multiple of 3 and a(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxky when four letters picked without replacement from kbyckcyybxxbxcyyyb?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h**3 - 20*h**2 - 9*h + 1. Let k(x) = x**2 + 1. Let q be -1 + -2 + -4 - -2. Let g(b) = q*k(b) - u(b). Find i such that g(i) = 0.\nAnswer: -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1 (c) 2\/17 (d) 2.98 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from afaffaaaffzfaaa.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (20872\/28)\/(4\/14) - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -3, 2\/187, 92\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -206, -4, 0 in increasing order.\nAnswer: -206, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.53 (b) -1\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**2 + 12090*u - 48440 = 0.\nAnswer: -2422, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343 and 11956?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 2*l + 3. Let d be b(0). Suppose -14*n - 5*f = -19*n + 15, -d*n - 3*f + 3 = 0. Solve -n*q = -1 + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((65\/(-5))\/(-26))\/(-4))\/(8\/16)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170522 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57 + -6?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u, g - 37*u = -42*u + 24. Solve -4*z = g, -31*z = 2*w - 35*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -116, -117?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87515?\nAnswer: 5, 23, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 77*u - 528. Calculate t(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07649711 to 5 dps.\nAnswer: -0.0765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7512771.99979 - 7512739. Let i = 55 - 22. Let x = u - i. What is x rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65407\/2350 + 2\/3525. Let i = -82\/3 + z. Which is bigger: i or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11637 - 3?\nAnswer: -11642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 10*q**2 - 9*q + 7. Let u be m(8). Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*c - 220. Let l = -41 - c. What is the lowest common multiple of 31 and l?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 - 3*a**3 + 23*a**3.\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4, -3*y + 11 = 4*u - 3. Let s = 23\/6 - 10\/3. Determine l, given that 0*l + s*l**3 - 1\/2*l**5 + 0 - 1\/2*l**4 + 1\/2*l**u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 1, l: 1, o: 1, s: 1, g: 2}. Give prob of picking 1 f and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 18*d - 15 = i, 14 = -2*i - 2*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5249\/5360 + -14\/335. Calculate the common denominator of -41\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.0502 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, x: 1, y: 2, f: 2, l: 1, q: 3}. Give prob of sequence lfwf.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1133 - 1?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431315 is divided by 131.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -258, -246, -218, -168, -90?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -822032 divided by -205508\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**2 - 9*r + 3. Let z be x(-6). Suppose -5*y + 73 = -i - 0*i, z*i - 19 = -2*y. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 15*z**2 - 9*z - 29. Let b be (-12)\/(-2) + 7 + -11. Let u(o) = 3*o**2 - 2*o + 6. Let q be u(b). What is the units digit of l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89082.2715 + -89147.7967037. Let d = t + 69.30520527. Let x = d + -3.78. Round x to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/36 and -61\/1740.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, d: 2}. Give prob of picking 2 j.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 120440070 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 135169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -335627 * -1\nAnswer: 335627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.8, -0.4, -13\/142?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let a(p) = -p**2 + 8*p - 4. Let h be a(7). Let j(g) = -h*g - g - 5*g + g. Determine w(j(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/10 + 6\/(-15). What is the remainder when ((-4)\/(-6))\/(y\/60) is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a59b2 (base 12) to base 15\nAnswer: 93242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a3 - 1a39194?\nAnswer: -1a390b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1058109\/44 - -24049. Find the common denominator of f and 61\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-51*t - 28*t - 10*t).\nAnswer: -89*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -300 - 296. Let l = 971 - p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (40\/(-30))\/((-4)\/(-21)). Solve 0 = -4*h - 5*s + 3*s + x, -2*h - 7 = 5*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-9\/4)\/t*t)\/t)\/((t*t**2\/t)\/t))\/((t\/t**16)\/((t*t\/(t\/t**(2\/59)))\/t*t*t)) assuming t is positive.\nAnswer: t**(3017\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 757 divided by 5\nAnswer: 757\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.27, -0.166, -3, -12, -2\/5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/10)\/((-5)\/200). Suppose -j - 8 = -2*a. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/(16\/32). Let t be 24\/13 - r - (-1 - -5). Sort t, 1\/2, 0.3 in descending order.\nAnswer: 1\/2, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 531882424, 531882426, 531882428?\n\"Answer: 2*t + 531882422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -b9a?\nAnswer: -b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 64 + 468 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**2 - 3*x + 0 - 1\/6*x**4 + 2\/3*x**3. Factor d(v).\nAnswer: -2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4 - 1) + 5)\/(-1). Suppose 13*b + 12*b - 125 = j. Let x(c) = -c**2 + 8*c - 6. Give x(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -310f - -279?\nAnswer: -2e96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.4. Let p be (3 + -2)\/((-3)\/(-7)). Let x = -131.278 + 126.278. Which is the nearest to u? (a) p (b) 5\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202935 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62675\/42 - -1492. What is the common denominator of o and 43\/11?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (176\/(-5))\/4*(-70)\/2. Let u = 310 - m. Solve u*h = -s + 6, 0*h + 3*h + 2*s = 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 2*g**2 - 4*g - 2. What is the remainder when l(4) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 36 = 19. Let q(n) = 2*n - 17. Let d(c) = -1. Let w(l) = -4*d(l) + q(l). What is the remainder when 17 is divided by w(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 - 8*u**2 + 37*u. Let h(w) = -2*w**2 + 2*w. Calculate a(k) - 4*h(k).\nAnswer: 3*k**3 + 29*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.1395 kilometers in centimeters?\nAnswer: 4013950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 14, e: 5}. What is prob of sequence vvvv?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(36\/(-32))*(-33)\/(-2). Let l = i - 39. Suppose -2*o - j + 169 = 4*j, 0 = l*j + 15. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26632, 26532, 26430, 26326?\n\"Answer: -d**2 - 97*d + 26730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 d, 1 u, and 1 x when four letters picked without replacement from uduuiluiixuu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t - 5. Suppose -2*a = -6*a + 16. Put 1, t, a in increasing order.\nAnswer: t, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 10611565?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 691*2.86\nAnswer: 1976.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/63 and 46\/2799.\nAnswer: 19593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 36\/15 - 3\/(-105). Suppose 4 = -v - 5. Let r = v - -7. Which is the closest to -2? (a) f (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21300159 divided by -373687?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:30 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*v - 113*v + 1082. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198999011*r**6 - 24585*r**2 - 2295 wrt r.\nAnswer: 23879881320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41, -3, 9 in increasing order.\nAnswer: -41, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*3*-1 + (-351)\/(-13). Suppose -o = -6*u + u. Find the second derivative of 989*x**2 + 21*x**3 + 3*x + u*x**3 - 989*x**2 wrt x.\nAnswer: 162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68474207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -401.9 + 310.9. Which is bigger: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -550, -1155, -1758, -2359, -2958, -3555?\nAnswer: -4150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 152219, 152270, 152321?\n\"Answer: 51*w + 152168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2347.839 rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79\/7 + 11. Let t be (-41)\/55 + (-6)\/(-30). What is the closest to -1 in t, 2, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1423, -1482, -1571, -1690, -1839, -2018?\nAnswer: -2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-280)\/(-4))*(-1)\/2. Let v = w - 38. Let t be (-26)\/8 + 1\/v + 4. What is the closest to -0.1 in t, -4, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.159 - 0.262. Let n = 0.11 + -0.05. Let v = c + n. What is v rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2)*-1 + 2 - ((sqrt(14)\/(sqrt(7)*-1))**2 + sqrt(2)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1352)\/1430*20\/(-8) and (4 - 2)*2\/(-24)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 30 = -2*f - 2*f, 0 = f + 4*o. Calculate the least common multiple of 12 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2226 (base 8) to base 14\nAnswer: -5dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q**3 + 2*q**2 - 12*q + 19. Let d(j) = -5*j**3 - j**2 + 6*j - 10. Let h(l) = 7*d(l) + 4*u(l). Suppose 19 = 3*b + 7. What is the units digit of h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 16 = -u, 4*x - 845 = 3*u - 873 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.48702 and -0.9?\nAnswer: -2.238318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 26, 52.\nAnswer: 1, 5, 26, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/28, 94, -7, 5, -4, -3.\nAnswer: -7, -4, -3, 5\/28, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.707297 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6782.68 milliseconds in nanoseconds?\nAnswer: 6782680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 1.2, 5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2070\/13 + 15114\/91. Factor -a*c**3 + 18\/7*c**2 - 32*c**4 + 0 + 4\/7*c.\nAnswer: -2*c*(4*c + 1)**2*(7*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, -1\/69, 1\/11, -1, -4.\nAnswer: -4, -1, -1\/69, 1\/11, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-168)\/(-32))\/(-21))\/((-4305)\/420)*4\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.15 + 2. Let x = h + -9.35. Let l = 5 + x. What is l rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*o - o**3 - 1 - 14 + 0*o**3 - 6*o**2 + 15.\nAnswer: -o**3 - 6*o**2 + 49*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 24*l**3 + 1078*l**2 + 8886*l - 748 = 0.\nAnswer: -34, -11, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 575 = -5*l, l + 5*c = -0*l - 89. Let y = 113 + l. Let o be y*6\/(-12)*4. Solve -o*u + 12 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 5. What is the remainder when (-1 + -5)\/3 + 16 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770 and 403513.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + l + 6 + 9*l - 17*l. What is the units digit of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -282 + 281.8. What is the closest to 3 in z, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44914 - -76003. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -102788018?\nAnswer: 411152072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let r(c) be the second derivative of -107*c**3\/6 + c**2\/2 - 5148*c. What is n(r(s))?\nAnswer: -107*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 = 7. Factor v*h - 5 - h**2 - 4*h**2 + 3*h**2 + 1.\nAnswer: -2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -25?\nAnswer: 9\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 32*b**3 + 28*b**2.\nAnswer: 4*b**2*(b - 7)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1197\/(-147) - (-112)\/14)*((-2)\/3 - 0)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*v**3 + 1904684*b**2*v**2 + 449447*v**3 wrt v.\nAnswer: 12*b**2 + 2696682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -974 in descending order.\nAnswer: -3, -8, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - i + 2*i)*(5 + 0 - 4) - 5 - i + 5 + 11*i + 4 - i - 6*i in the form y*i + z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1815*93\/25110)\/(2\/(-36)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1040ce3 + 5?\nAnswer: -1040cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*z - 280 = 0, 15 + 85 = -2*x - z. Let f be 4\/7 + x\/91. Suppose -a + 7*a - 66 = f. Calculate the highest common factor of a and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 0, 1, 0.115, -0.05 in ascending order.\nAnswer: -0.05, 0, 0.115, 1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtovz. What is prob of picking 1 g and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 divided by -240054?\nAnswer: 67\/40009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 10:03 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, v: 5, t: 7, d: 1}. Give prob of picking 3 v.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) -13 (d) -1366 (e) 1\/2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 20) + 1 + -7896 + 7863.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 79*n = 58 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1327588*t**3 - 932*t**2 - 61*t wrt t?\nAnswer: 7965528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 6497 - ((-8)\/(-2) - 2). What is a rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -1.3. What is the closest to r in -2\/3, 0.5, -3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 6.71\nAnswer: 2.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*8\/30. Let w = -10 - -8.6. Let h = 1.6 - w. Put h, 0, x in ascending order.\nAnswer: 0, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20387.448 + 20317. Let u = 71 + n. Let s = u - 0.052. Put s, 1, -16 in decreasing order.\nAnswer: 1, s, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/471 + 30083\/13188. Calculate the common denominator of r and -37\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6335*b**3 - 3*b - 33. Let s(n) = -13392192*n**3 - 6341*n - 69751. Calculate 6341*q(t) - 3*s(t).\nAnswer: 6341*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-17)\/(-476)*-380?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 6*u - 35. Determine d(-8).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 28*m - 101. Calculate d(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 1, m: 1}. Give prob of sequence jjt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 = 68*o - 389 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2844*r**6 - 2*r**3 - r**2 + 1092*r + 1.\nAnswer: 341280*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 956971147 to the power of 1\/2, to the nearest integer?\nAnswer: 30935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (324\/(-78) - -4) + (-509)\/(-13) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7 = -z - 3*q, -5*z + 2*q = -45. Suppose -6*o + 1 = -5*o. Calculate the smallest common multiple of o and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 2:09 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/21*(135 + 0). Let m be (-4)\/(-26) - y\/(-78) - 2. Let g(x) = -11*x - 9. Let c be g(m). Round c to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/1091 + 3217\/4364. What is the closest to 0 in u, 1\/5, 76\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3419657 divided by 137?\nAnswer: 24961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-10) - -1) + 5 + -8. Is -0.1 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 + 496*f**2 + 3030*f + 4572 = 0. What is f?\nAnswer: -3, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0546, -0.4, 10476?\nAnswer: 10476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from muveuvvemkkkov.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10944 divided by 145.\nAnswer: 10944\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-256)\/320 + 8\/10)\/1. Solve 16*f = 18*f - 4*i - 14, a = 5*f - 4*i - 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 35148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 15. Is 4 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2935, -5544, -7973, -10216, -12267, -14120, -15769?\n\"Answer: p**3 + 84*p**2 - 2868*p - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-17\/4))\/r*r)\/r*((r*r**(-1\/20))\/r)\/r assuming r is positive.\nAnswer: r**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 12:53 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d + 6 + 8*d + 9*d**2 - 3 + 2. Let s(i) = i**2 - i + 1. Let v(b) = -o(b) + 5*s(b). Suppose v(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -25\/4, 2\/13, 31\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 671*a - 494*a - 307*a + 841*a + 784*a - 2 - 2*a + 2 + 6*a - a - 3*a + (0 + 0 + 1)*(a + 0*a + 0*a) - 3 + 3 - 5*a.\nAnswer: 1491*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 284, 5, 2 in ascending order.\nAnswer: 2, 5, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1934.02 in 3, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 92297 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1528*l**3 + 7*l + 6. Let m be d(6). Round m to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/98)\/((-106)\/(-371))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135214, 134688, 134176, 133684, 133218, 132784?\nAnswer: 132388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123263\/55 + 2241. Is 0 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 31. Suppose 5*k - 22 - q = 4*h, 2*h = k - 10. Suppose -5 = -x - 3. What is the greatest common divisor of x and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*n - 1, -5 = 4*c + 3*n + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -11*f + 15*f + a, 2*f - 16 = -2*a. Factor -2*s**3 - 2*s - 4*s**2 - 11*s - 2*s - f*s**2 + 5*s.\nAnswer: -2*s*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 12 - 6 - (-1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 25. Let c be r(-11). Suppose 27 = k - 3*l, -l - 32 - 33 = -5*k. Let i = c + k. Solve 4*h + h = -i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y**(-2\/5))\/(y**(-1\/2)*y*y\/y**(-4\/3)*y)*y**(1\/3)\/(y*y**(4\/9))*y**(-3\/7)*y**(-1\/2)\/y assuming y is positive.\nAnswer: y**(-2354\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(3) + -2*(sqrt(3)*-1)**2 - -2*sqrt(3)*-6) + (-2*sqrt(300))**2 + -3 + (sqrt(3)*-1)**2).\nAnswer: -11*sqrt(3) + 1194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1824\/(-108) - -17) + 71\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100012662 a multiple of 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-28)\/8) - (-10)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 minus 8.9?\nAnswer: -9.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k**2 + 2*k - 2. Let f be z(2). Suppose h - f = -5*n, 2*n + 3*h - 67 + 3 = 0. Let b = n - 19. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -839573 or -4197859\/5?\nAnswer: -4197859\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/150 - 1078*r**3\/75 + 4042*r. Factor j(g).\nAnswer: -2*g*(g + 1078)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -1. Let r be 8\/12*10\/(-8). Sort a, r, 1 in ascending order.\nAnswer: r, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 4\/7, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40999 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189 - 53*q**3 + 189 + (4*q - 3*q + q)*(-2*q**2 + q - q) - 4*q**3 + 4 - 4 to a + x*q + n*q**2 + u*q**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1682594674?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1064 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1339\/(-2860) - (-2)\/5)*116 - -6. Which is smaller: -2\/13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 117925 and 54064697.\nAnswer: 54182622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, s: 1, z: 2}. Give prob of picking 1 z and 1 s.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 62 - 16941095\nAnswer: -16941033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8279759.16 rounded to the nearest 1000?\nAnswer: -8280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 - 554146*f + 1108284 = 0. What is f?\nAnswer: 2, 277071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5, 81 - 90 = -5*j + y. Suppose -4*r - 20 = 0, j*p - 21 = 4*r + 7. Sort 2, -1, p, -125 in decreasing order.\nAnswer: p, 2, -1, -125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1225 - -1225.272. Let t = k + -0.072. Let i = -0.5 + 0. What is the third smallest value in -1, -0.3, t, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 + m**3 + 21*m**2\/2 + 9*m.\nAnswer: -m*(m - 6)*(m + 1)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/3, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5371305 is divided by 5371301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -6.06. Which is the second smallest value? (a) -4 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**2 + j - 1. Let i be w(0). Let m be (8800\/(-6))\/(i\/75). Round m to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.55. Let y = j + 39.05. Let d = -39.00000074 + y. Round d to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5)\/(-2)*1*120\/12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.22\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*q + 1388 = -1237 + 650 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 529613237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -52*x - 9. Suppose -45 = 5*b - 2*n, b - 4 = -2*n - 1. Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18098*l**2*v**3 + 164*l**2*v**2 - 2*l**2 + 5*l*v**3 - 53*v**3 - 648503 wrt v.\nAnswer: 108588*l**2 + 30*l - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131.6 + 187. Let v = -12.7 - 56.3. Let t = v + p. What is t rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105\/218 - 2\/109. Let z = -8.88 + -0.12. Let q = z - -7. Put -4, q, b in increasing order.\nAnswer: -4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -60. Let n be (18\/k)\/(6348\/(-16)). Let r = n + 30673\/3174. Find the common denominator of -43\/13 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 2. Let w(p) = 30046*p + 2. Determine o(w(d)).\nAnswer: 120184*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**8\/2240 - 3*c**7\/280 - c**6\/16 + 5*c**5\/8 + 5*c**4\/6 - 32*c**2. Let b(d) be the second derivative of o(d). Factor b(n).\nAnswer: -3*(n - 1)*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let o(x) = -1730*x + 2014. Give o(p(a)).\nAnswer: 1730*a + 2014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-4*3\/366. Let k = q - 86\/549. Let o be 2*((-21)\/(-14))\/(-1). Which is the closest to 1\/3? (a) k (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*2\/(12\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, 0.15, 4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1654 + -1592. Calculate the lowest common multiple of 74 and w.\nAnswer: 2294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7177563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 429*u**4 - 2605*u**2 + 3471725?\nAnswer: 1716*u**3 - 5210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 13. Let y = s - -7. Solve 6 = -0*k - y*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (9 - -19)) + 19 + 35 + -1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(320) - (sqrt(320) + -1)) + (sqrt(320) - (sqrt(320) + -1)) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(19) + (sqrt(57)\/sqrt(3) - sqrt(19)) + -2 + ((-5*(sqrt(114) + sqrt(114)*2) + sqrt(114) + sqrt(114) - sqrt(114))\/sqrt(6))**2)*5*-1.\nAnswer: 25*sqrt(19) + 93025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 + 46166*b\/5 + 26625396\/5.\nAnswer: -2*(b - 23646)*(b + 563)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5, 2*z - 11 = -2*x - 1. Suppose -x*u = 2*j - 16, -u - 10*j + 11 = -6*j. Put 0.1, u, 1\/443 in descending order.\nAnswer: u, 0.1, 1\/443","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n**2. Let t(b) = 6622883*b. What is a(t(x))?\nAnswer: 833389005402091*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -131, 11, 3 in descending order.\nAnswer: 11, 3, 2, -1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9454 + 9454. What is the closest to q in 0.3, -1646, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 349, 2784, 9357, 22126, 43149?\n\"Answer: 343*l**3 + 11*l**2 + l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let j(p) = 32*p**3 + p**2 - p. Let n be j(1). Suppose -7 = 5*a - n. Let k(t) = -a*t**2 + 2*t**2 + t**2. Determine i(k(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/9 + 68*n**3\/9 - 362*n**2\/9 - 48*n = 0. What is n?\nAnswer: -1, 0, 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 21 = 0. Find the third derivative of 9*r**5 - r**5 + o*r**2 + 0*r**2 - r**2 wrt r.\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 + 2*y - 2. Let h be o(-2). Let a = 10 + -6. Suppose -d + 6 = -a*d. Put d, 1\/2, h in descending order.\nAnswer: h, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-one quarters of a gram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 + 12) - (-4 - 64 - 0)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -1 + 1 - 3) + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:04 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 5:37 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 495614 - 63?\nAnswer: 495551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 43, 11, -41, -119, -229, -377, -569?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2620190 and 66670.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*d**3 - 18*d**3 - 8*d**3 - 446*d**2 + 396*d**2 wrt d?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79.3 - 76. Let k = -5.3 + b. Let g be -4 + 2 + 1\/1. What is the second smallest value in g, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8216.6541 from 1.\nAnswer: -8215.6541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/10 - 5\/25. Let r(y) = y**h + y**2 - y**2 + 9*y - 7. Let k be r(-10). Solve 0 = k*x - w - 13, 0*x + 3*w = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + h + 6151 = -3767, 2*a + 4*h = 3954. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15325440 and 39936.\nAnswer: 61301760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36308, 144688, 325326, 578222, 903376, 1300788, 1770458?\n\"Answer: 36129*z**2 - 7*z + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.9 - 8260.085821.\nAnswer: -8262.985821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25494690 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 27. Let r = -24.8351 - 0.0649. Let q = r + h. Is -0.59 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*x**3 + 1 + (2*x + 27*x**2 - 17*x**2 - 18*x**2)*(-22696 + 938*x + 22696).\nAnswer: -7506*x**3 + 1876*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -949*19.4.\nAnswer: -18410.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(6\/9)*-2. Let d = 7\/20 + -1\/10. Which is the third smallest value? (a) w (b) 2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 0.2 (c) -2 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*3)**2 + (sqrt(13) - sqrt(13)*2*5) - (sqrt(117) - ((sqrt(117) - (sqrt(117) - sqrt(117)*2*-1)) + sqrt(117)))\/(sqrt(1089)*1))*3.\nAnswer: -303*sqrt(13)\/11 + 17199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6\/(-10))\/(4\/40) + 2996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*a - 8, 4*k + k - a - 7 = 0. Let d be k*1*(-16 - -17). What is the second derivative of d*f - f - 8*f - 5*f**4 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 5*c**2 - c + 12. Let f be z(5). What is the greatest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -305, -234, -93, 148, 519, 1050?\n\"Answer: 5*r**3 + 5*r**2 + 21*r - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grfrn. What is prob of sequence ngr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2214\/39709?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -125269 at least as big as -125270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 150842955 at most as big as 150842954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*m - 342 = 0, -4*m = -5*j - 3*m + 863. Calculate the remainder when j is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**5\/20 - a**4\/4 - a**3\/2 - 3*a**2\/2 - 4*a + 3. Let j be (4 - 1)\/(3\/4). Let p be m(j). Solve -p = y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 20 + 12 + 143*d**2 as x + y*d + u*d**2 and give u.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 571 - 569. Let g = 3 - -1. Solve -u - g*u = q*z - 5, 4*u - 22 = 2*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 - -0.07. Let x = 0.21 + r. Put -3\/2, 3\/5, x in decreasing order.\nAnswer: 3\/5, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:11 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3\/(-9) - -2 - (-252)\/(-378). Let o = 13 + -9. Suppose -u - u = o. Put -3, u, h in decreasing order.\nAnswer: h, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(1584))*-5.\nAnswer: -60*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 64*t**2 + 144*t - 57. What is the hundreds digit of i(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let a be (-400)\/(-990) - 4\/22. Let y = -0.04 - -0.24. What is the closest to k in -4, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 76*r - 8. What is y(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 4*z + 7*z**2 + 0 - 2\/3*z**3. Is f(-9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 602*s**3 - 5*s**2 + 5*s - 27. Let q(y) = 301*y**3 - 3*y**2 + 3*y - 13. Let j(z) = -5*q(z) + 3*r(z). Differentiate j(v) wrt v.\nAnswer: 903*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -35.58. Let p = 4.62 - z. Let j = p - 4. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5782e1 (base 15) in base 10?\nAnswer: 4178911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 25. Let j be r(-13). Let s be (-3)\/(-5)*5\/j. Suppose 14*z - 3 = 39. Solve -z*i - 12 = s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 16 = -2*y, y + y - 12 = -3*v. What is the second derivative of -2*s + 0*s**v + 5*s - s**2 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 72, 89, 88, 63, 8, -83?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eabebaeababekbkk. Give prob of picking 1 e and 2 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 109. Put 3, 0.005, b, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, 0.005, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1237496915 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(2057))**2 + (sqrt(170) + sqrt(170)*-3)\/sqrt(10) - (sqrt(153) + -4 - sqrt(17) - ((sqrt(102)\/sqrt(3))\/sqrt(2))**2)).\nAnswer: 90*sqrt(17) + 10395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 o when four letters picked without replacement from oyoyyyyoyooyyyyy?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/28 + 54\/21 + -1)*-1. Let t(j) be the second derivative of -2*j**4\/3 + j**2\/2 + j. Calculate t(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1287 + -4)\/(3\/18*-3). Let m = y + -18041\/7. What is the common denominator of m and 8\/(-2*30\/14)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -26*w**2 - 1\/900*w**6 + 0*w - 13\/3*w**3 + 0 + 7\/75*w**5 - 49\/15*w**4. Let k(q) be the first derivative of s(q). Factor k(u).\nAnswer: -2*(u - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s + 28 - 478. Suppose -31 + s = c. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-237)\/(-237))\/(1\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39995061 and -651?\nAnswer: 39994410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q - 19. Let z(v) = 4*v + 33. Let d(u) = u + 11. Let m(c) = 6*d(c) - 2*z(c). Determine m(o(f)).\nAnswer: -20*f + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.7114 minutes in nanoseconds?\nAnswer: 21582684000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439137 is divided by 438951?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 3*z - 38, 5*z + 9 + 1 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 1, -24, 2, -5 in ascending order.\nAnswer: -24, -7, -5, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-5*-1 - (sqrt(704) - (2 + sqrt(704))*-6))**2*6.\nAnswer: 2304*sqrt(11) + 17760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738291076 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2109\/5560 - -3\/695. Let v = 3 - 3.1. Sort g, 3\/5, v in decreasing order.\nAnswer: 3\/5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -552*d**2 + 4*d - 4. Let v(a) = 1103*a**2 - 9*a + 9. Give 4*v(u) + 9*w(u).\nAnswer: -556*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 2*x**2 - 3*x - 2. Let k be m(-1). Let f be 2 + 4 + k + -3. Factor 1\/3*p**f + 2\/3 - p + 0*p**2.\nAnswer: (p - 1)**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131 or 78131\/601?\nAnswer: 78131\/601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817091 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1758 + 2?\nAnswer: b175a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3.8. Let q = 0.1999936 + r. Round q to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-3)\/8 - (-61646)\/208 and 18.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85941748 to the nearest integer?\nAnswer: 9270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 280032159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -2, 1\/4, 0.1, 4\/5, -3024, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -4 (c) -1\/17 (d) -2.4 (e) 5.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1528275*p = 1528271*p - u - 14, -p - 5*u + 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -196, -194, -190, -184?\n\"Answer: r**2 - r - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 10a8?\nAnswer: -10a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 411896.\nAnswer: -3\/205948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*p + 3 - 14*p**2 - 37*p - 8*p**2 wrt p.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20119516 is divided by 1892?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3058 divided by 278.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a + 5*m - 3, -4*m = 3*a - 15. Is a >= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 10}. Give prob of picking 1 d and 1 g.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.017 and -1102437.078.\nAnswer: -1102437.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from wzwhhubzhuwuzb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-99 + 54 + 47 - 15*x**2)*(39291 - 39291 + 1147*x)*(-3 + 1 + 3) to the form d*x**3 + p*x + s + k*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117586882 to the power of 1\/2, to the nearest integer?\nAnswer: 55835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8666? (a) -3210 (b) -2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -534, -510, -486, -462, -438, -414?\n\"Answer: 24*y - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - 49*u**3 + 21*u**3 - 172*u**3 + 27*u**3 + 12*u to i*u**3 + y*u**2 + x + j*u and give i.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.1 + 30.2. What is the nearest to -1 in -2\/13, 0, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82708347809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 14*a**2 + 11*a + 13. Let s be b(13). Let w = 17 + s. Solve -3*h + 6 = 3*y, 3*y - 2*y = h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(130) + sqrt(130) + sqrt(130))*1 + sqrt(130))\/((sqrt(10) - 4*2*sqrt(10)) + sqrt(10)))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = g - 5*q, 3 = -3*q - 6. Suppose -n + 6*n - 35 = 0. What is the least common multiple of n and 0 - g\/(12\/9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 12*p - 1320. Let r = -268 + p. Let l(k) = -5*k**3 - 15*k**2. Let d(w) = 4*w**3 - 4*w**2 - 4*w**3 - w**3. Calculate r*l(f) + 15*d(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -1\/6 (c) -1\/3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 72*r**3 + 324*r**2.\nAnswer: 4*r**2*(r - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 11*o + 13. Let g be y(-9). Let r = -9 - g. Suppose -15 = 3*a - 0*a. Which is bigger: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 35209324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12155 - -114?\nAnswer: -12041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 - (13 - -25))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7051658 grams?\nAnswer: 705165.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, 1\/3, -8\/165?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 + y**2 + 4*y**2. Let u(p) = 68*p**2 + 5*p. Let t(s) = 984*s**2 + 72*s. Let b(o) = -5*t(o) + 72*u(o). Calculate b(k(z)).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.01504630421079 + -9\nAnswer: -9.01504630421079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4871 divide 334476957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (26 - (-35)\/(-30)*24).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -2*s**7\/525 - 29*s**6\/50 + 59*s**5\/25 - 89*s**4\/30 + 263*s**2 - 3. Let q(k) = 0. Calculate k.\nAnswer: -89, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (-2 - -3) + 27\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1431659.\nAnswer: 1\/1431659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1787.7 + 1861.576. Let p = a - 74. Round p to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*t - 8, t - 40 + 38 = 3*g. Let j = -384.2 + 384. Which is the fourth smallest value? (a) g (b) 7 (c) 0.3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 497\/27 or -0.1392?\nAnswer: 497\/27","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -79*f**3 + 27*f**2 + 8*f + 1. Let g(x) = -21*x**3 + 7*x**2 + 2*x. Let i(d) = -15*g(d) + 4*v(d). What is i(6)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/28*-5*8\/(-100)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 77946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 481864 and 86976452.\nAnswer: 173952904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + f - 278, -2*v + 286 = 2*v - 3*f. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4678 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(114)*-4)\/sqrt(6) + 1*(sqrt(19) + -3) + 0 + (1 + sqrt(1539))*4)**2.\nAnswer: 66*sqrt(19) + 20688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/75 + (-8)\/(-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545155 to the power of 1\/2, to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 - -121. What is the common denominator of -95\/12 and (-25)\/v + -4*1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4 + g - 2*g**2 + g**2 + 2*g - 2*g. Calculate f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1002.700012927 + -1002.7. What is t rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -176 (b) 6\/11 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(324) + ((sqrt(18)*-1)\/sqrt(6))**2 + -4.\nAnswer: -1 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**4\/4 + 2*h**3 + 7*h**2\/2 - h - 586. Calculate d(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 14570*w**2 - 233131*w - 12. Determine n(16).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f = -34*f - 110 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9401 is divided by 8054?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1057\/4, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*i + 14*i + 5*v - 98, 0 = -5*i - 2*v - 109. Let n(p) = p**2 + 18*p - 12. Calculate n(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 46. What is the units digit of -2 + (1 - s) - -85?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 686535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 6*w**3 + 17*w**3.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*m + 35 = -m, 38 = 3*t + 4*m. Solve -3*c = 9 + t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3)*-12)\/2. Solve -4*r = b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 539.523 milliseconds?\nAnswer: 0.0001498675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -991, -1984, -2979, -3976?\nAnswer: -4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + 1 + sqrt(3))**2*-5.\nAnswer: -139 - 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 79 = -2*b - 2*h, -2*h = 5*b - 211. Let q = 77 - b. What is the tens digit of (3 + -6 - 1) + q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 205364201?\nAnswer: 205364186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:00 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 17. Let o(h) = -10*h + 84. Let f(a) = 11*g(a) + 2*o(a). Let l be f(13). Which is bigger: l or 13\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22040470, 22040469, 22040468, 22040467?\nAnswer: 22040466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 27531359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*q + 10*q - 2*q + (-1 + 1 + 2*q)*(-6 + 2 + 3) + q - 1 + 1.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1435913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 - 86 + 48 + 19*w)*(-w - w + 4*w) as b + o*w + g*w**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/3)\/(231\/(-594))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**3 - 8*w**2 + 2*w. Let x(c) = c**2 + c. Let v(f) = -k(f) + 2*x(f). What is the third derivative of v(d) wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 - 4.1. Which is the closest to k? (a) 0 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 75*m + 9796. Give w(-146).\nAnswer: -1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39652, -79258, -118852, -158428, -197980, -237502, -276988?\nAnswer: -316432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpprrpprpprprxr. Give prob of sequence xxp.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 1. Which is smaller: v or -14?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 10:48 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((((-360)\/75)\/24)\/(2\/(-20)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1866349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 50 = -x, 3*x - 40 = -3*j - j. Let m = j + 5. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + 0.08975. What is w rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.5 (b) -3 (c) 206788 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) 29 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(170\/(-40))\/(-17).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -31, 4, 1 in decreasing order.\nAnswer: 4, 3, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0 + 1. Let w = 1 - d. Calculate the remainder when w - (-6)\/(-2) - -29 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6.6. Let w = 0.3 - 0.7. What is the second smallest value in b, w, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + -1 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q - 6. Let o be n(-10). Let s = o - 60. What is s rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577185 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182846178*g**3 - 455185193*g?\nAnswer: -1097077068*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217\/3 + 73. Let v = -1.87 + 1.57. What is the nearest to 2 in z, 5, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**2 - 7*v + 4. Give l(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -4 (c) -0.049 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*a + 29 + 10, v = -6*a - 38 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + 56296 - 6*y**2 + 14*y - 56266. What is g(16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -60*f - 720. Calculate h(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000390148 to seven decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 18404*s - 7840126. What is b(426)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = r - 7, 2*r - f = 13. Suppose 5*c + r = -1, 4*c - 12 = 4*s. Let u be s\/((-2)\/1) - 256\/8. Is -28 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157 times 0.47559\nAnswer: -74.66763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 74, 1, 3, -2\/7, 1\/31, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -3121929\nAnswer: -3121898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = -140. Let y = 50 + z. Suppose -y = -w + 1. What is the lowest common multiple of 5 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {z: 9, s: 1, o: 6, q: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 1 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4 and ((-120)\/(-48))\/(-1 + 7715\/(-25)).\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4090 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 419866, 419843, 419820, 419797?\n\"Answer: -23*i + 419889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 67180 = -4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102102130 + -2?\nAnswer: -102102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 128\/(-20) + (-6)\/(-15). Let f be (-80)\/(-30) + 4\/o. What is the third derivative of -5*p**f + 3 - p**3 - 3 + 3*p**3 wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.045975147 and 2?\nAnswer: 1.954024853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*i**2 - 8*i**2 - 29*i**2 + 5*i**2 - 2*i**2 - 140*i**3 wrt i.\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 31. Let i = -92 - -84. Let r be w(i). Solve 0 = 5*b - 5*y + r, -2*b - 4*y = -b + 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 2068*w**3 + 2751*w**2 + 690*w - 1376.\nAnswer: (w - 688)*(w - 1)**2*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Suppose -32*z - 400 = -37*z. Let j be 64\/(-12) + (z\/15 - 5). Which is the nearest to -1? (a) -0.6 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113827*m - 41*m**2 - 113825*m + 39*m**2 + 772 to the form w + s*m**2 + h*m and give w.\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4 - -12) + 4 + 8 + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 7714 and 5099920\/661 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 3*s**2 - 7*s - 6. Let f be g(-4). Let d = 6 - f. Solve 0 = w + 2*c - 6*c + 10, 2*w + 4*c - 16 = d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - (-72 + (59 - -56)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 172, -812, -1 in descending order.\nAnswer: 172, 4, 1, -1, -812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 2*u**2 - 2*u + 10. Determine g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqhh when four letters picked without replacement from {h: 6, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (4 + (-3 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1477*m - 110510 = -25776 + 17179 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 take away 165.858445319?\nAnswer: -169.158445319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41270800 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*z - 13, -4*s + 18 = -7*z + 5*z. Solve s*f = 5*j + 41, 3*j = -4*f - 0*f + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcrrrrcrrrrrrrcrrr. What is prob of picking 1 c and 3 r?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8678 + -8680. Let v(x) = x**3 + x**2 - x. Let r(m) = 23*m**3 + 3*m**2 - 3*m. Determine y*r(f) + 6*v(f).\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**3 + 159*w**2 - 675*w - 243.\nAnswer: -3*(w - 9)**2*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 10*c. Let l(y) = -7*y**2 - 19*y. Suppose -105*k + 59 = -207 + 56. Calculate k*l(b) + 5*o(b).\nAnswer: b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11031194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1984759970?\nAnswer: 1984759969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 23563?\nAnswer: 12\/23563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*f - 3698 = 5707 + 493 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n**4\/7 + 2528*n**3\/7 - 59694*n**2\/7 - 963068*n\/7 + 1667008 = 0. What is n?\nAnswer: -16, 98\/11, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*h**3 + 11*h**2 - 10*h?\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w + 2. Let p be 2\/6 - 14\/6. Let i be t(p). Suppose -n = n - i. What is the biggest value in n, -2, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1548 and 2114.\nAnswer: 3272472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let i = t - 2. Let u = 15 + i. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 15 = 4*y, 346*y - 347*y - u + 12 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 8) to base 5.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.1479519*6\nAnswer: -6.8877114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 261977.17 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039555 is divided by 1674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 10946 = 10770 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -112, 166, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6793197272 to the power of 1\/2, to the nearest integer?\nAnswer: 82421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -90a6684 (base 11) to base 8\nAnswer: -75323677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-120)\/225*-1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740468 is divided by 1104?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-9))\/((-21)\/28413). Let p = -917\/2 + s. What is the closest to 1 in 3, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83763461 plus -0.2?\nAnswer: 83763460.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 42. Let a(y) = 2 - 7 + 8*y**2 - 4 + 1 + 5*y. Does 14 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 14 + -15 - (5 - 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(12\/32*-4). What is the greatest common factor of 66 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 12*o**2 + 5*o - 2. Let z(m) = m**3 - 9*m**2 + 2*m - 6. Let v be z(9). Let x = 0 + v. What is the units digit of k(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 998014 - 9.47497.\nAnswer: 998004.52503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 634267794?\nAnswer: 6976945734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17020942399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1. Let g(p) = 478*p - 956. Calculate g(o) + 956*x(o).\nAnswer: 478*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1768 - 1772. Let w(d) = 5*d**2 + 15*d + 4. Calculate w(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4487910 divided by 602\nAnswer: 7455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let x = -24 + 38. What is the remainder when (-462)\/(-12) - q\/(-2) is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1*(-1)\/1. Let h = 206.2 - 206. Which is the second biggest value? (a) -3 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-40))\/((-1)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = 4*y - 236, 3*y = -5*i + 166. Let z = 45 - 45. Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.67 - -0.549. Let b = -0.124 - v. Round b to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 464 = 17*s. Let f = s - -255. What is the greatest common divisor of f and 598?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 1. Let h be b(3). Suppose h*g - g - 24 = 4*y, 0 = -y. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 19) + 8 + -7 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 73868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3111955 by 622391.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21921 is divided by 2191?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 188851*i**3 - 9*i**2 + 2*i - 2. Let g be q(6). Suppose 3*p = -g + 12891511. Let s be 0 + p - 3\/1. Round s to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01143043 take away 773?\nAnswer: -773.01143043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6145022*r**3 - 267242*r**2 - 2*r wrt r.\nAnswer: -36870132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**3 + 151\/105*i**7 + 0*i**6 - 79\/8*i**4 + 0*i + 3*i**2 + 10 + 0*i**5. What is the second derivative of w(y) wrt y?\nAnswer: 3624*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - i)*(0 - 2*i + 0) + (5 - 3*i - 5)*(-317*i + 268*i + 1603*i + 1209*i).\nAnswer: -8287*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzffcfjfwzmffjzcmzf. Give prob of sequence ff.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.7, 0.2, -3 in increasing order.\nAnswer: -3, -1\/4, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 43205 = -109165. List the prime factors of j.\nAnswer: 2, 5, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 7*k + 25. List the prime factors of q(10).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 381353336*r**2. Let f(x) = -x. What is g(f(m))?\nAnswer: 381353336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 108271433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385a (base 11) in base 4?\nAnswer: 1032202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2579 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 682 and 310.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20659\/(-1460) + 3\/(-5) and 9\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0*l**3 + 0 + 13*l - 1\/3*l**4 - 1\/10*l**5 - 5\/2*l**2. Let k(m) = -5*m**3 - 11*m**2 - 14. Determine 11*g(x) - 4*k(x).\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1255 + 8.\nAnswer: 7.8745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 60*b**2 + 475*b - 6073. Calculate d(7).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02881393 and 0.1.\nAnswer: 0.12881393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12574677\/39949 - 4092\/13. Is 1 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1712747\/2 and 856375 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from aaamaaam.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234809*c - 234805*c = 4*q + 24, 4*c - 29 = 5*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5283 - (13 - (4 + -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k**2. Let g(x) = 501450*x**2. Calculate o(g(t)).\nAnswer: 4023233640000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 27. Calculate the remainder when q is divided by (-4)\/(-10) - (-46)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4726.2 and -0.001?\nAnswer: -4.7262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 1. Let r be w(-1). Let f be (-1)\/(r\/(-15) + 0). Let c(o) = -o**2 - 5*o - 5. Determine c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u - 21*u + u**2 + 20*u. Is 4 a factor of o(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 - 4*s**2 + 4*s**2 - 2*s - s**3 + 2*s + (3*s**2 - s**2 - 4*s**2)*(3 + s - 3) + 1 - 1 - 2*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 317176.1 * -0.2\nAnswer: -63435.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 11*c - 3*c - 21*c. Let l be i(-1). Calculate the highest common divisor of l and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8358858058.3399 and -1.\nAnswer: -8358858059.3399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k - 3*z, -5*k + 0*z + 4*z + 22 = 0. Let q(n) be the second derivative of -2*n**2 - 23*n. Let o(l) = l**2 - 1. What is k*o(s) - q(s)?\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oogg when four letters picked without replacement from {o: 6, g: 4, a: 7}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 30315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 191, 489, 879, 1355, 1911?\n\"Answer: -j**3 + 52*j**2 + 149*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 16*x - 6. Let b be -302 - (-56)\/42*(-6)\/8. Let c = 287 + b. Give r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -949014?\nAnswer: -949026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1146)\/24 + 9\/12. Let v = 159 - d. Let n = 350 - v. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4645)\/(-30))\/(24\/16). Let w = -103 + z. Which is the nearest to 1? (a) 1 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71527 by -2.\nAnswer: 71527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.074 and 3\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -47, -125, -245, -413, -635, -917, -1265?\n\"Answer: -k**3 - 12*k**2 + k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*r - 63 = 0, 5*x - r - 2*r - 329 = 0. Let q = x + -64. What is the greatest common factor of 24 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -833*z**3 - 2*z**2 + 2317?\nAnswer: -2499*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 7*f**2 + 9*f - 1. Let g be i(8). Suppose 23 = 4*t + g. What is the first derivative of -10*n - 2 + 1 + t*n wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -45, -94, -163, -252, -361?\n\"Answer: -10*a**2 + a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/728 - (249\/13 - -3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 17 = -5*d + 2, 3*g - 3*d - 30 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/20 + -1\/5. Let s = 0.3 - 0.4. What is the closest to g in -4, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(405))\/(3*(sqrt(18)\/sqrt(2) + sqrt(9))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 198 = 42. Let n = 66 - j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4 - 5*l**3 - 7*l**2 - 3*l = 0. Calculate l.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-6)*g)\/g**5)\/(g*g**5*g*(g**(2\/7)\/g)\/g))\/(g\/(g\/g**2)*g\/g**(-3)*g**(2\/3)*g**6) assuming g is positive.\nAnswer: g**(-566\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 2*n - 4*n + n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/24 and -113\/1458880.\nAnswer: 4376640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -23. Let b = -18 - a. Let u = -2\/37 - -162\/259. What is the third biggest value in b, u, 0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 143, 167, 191, 215?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {j: 1, e: 3, a: 6, g: 2, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 41, 5\/3 in decreasing order.\nAnswer: 41, 5\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 4*u - 1. Let z be (-88)\/(-5) + 2\/5. Let b = 54 - 51. Suppose -4*h = -0*h + b*w - 23, -4*h + 2*w = -z. What is c(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-110)\/(-3))\/((43\/6)\/43). What is the greatest common divisor of 380 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*y + 2, -5*z + 5*y + 3 = -2. Suppose -b - 5*b = 6. What is the units digit of 1\/(z\/(b + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*h**4 - 6*h - 8*h + 11*h**2 + h**4 + 16*h as u*h**2 + b*h**4 + w*h**3 + s*h + m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021845 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25689750883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3689 + -3687. Let b = 1 - -5. Solve k*p + 6*i = 2*i - 12, 0 = 5*p - 2*i + b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = g + 9, -3*g + u - 3 = -0*g. Suppose g = -2*j + 37 + 47. What is the remainder when j is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 + 38*d - 90. What is t(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 8*c**6\/15 - 5*c**4\/4 - 17*c**3\/2 - 259*c. What is the second derivative of q(a) wrt a?\nAnswer: 192*a**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.64 + -33. Let b = -2 - q. Let f = b + -0.06. Put -2, 0, f in increasing order.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 14034673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 27*k + 152*k + 117*k + 60*k.\nAnswer: 364*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3478)\/141 - -25)\/(4\/(-528))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (-5 + sqrt(637) + -2 + sqrt(637) - -6*2*sqrt(637))**2.\nAnswer: -1372*sqrt(13) + 124899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -42429+-1.1\nAnswer: -42430.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.1 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/114*((-3)\/6)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*s + 58 = 252*s - 134 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141360 - 1241?\nAnswer: -142631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 664390232 and -0.1474.\nAnswer: 664390231.8526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 6:55 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from rvvbrvrllrgrzbl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -17444*k + 174445. Give h(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 45205 = -2*x, 10*x - 7*x = -3*s + 67794. Suppose -m + 14*j - 9*j = x, j - 112999 = 5*m. What is m rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -108048 and -4.\nAnswer: -108052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*z, 0 = 2*a + a - 2*z. Suppose -2*t + x = 272801 - 1272806, 2*t - 4*x - 1000020 = a. Round t to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1128475*-0.6.\nAnswer: -677085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1843\/12 - 601\/4. Let j(x) be the first derivative of -p*x**3 + 6 - 19\/2*x**2 + 0*x. What is the second derivative of j(n) wrt n?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 9*l - 6*l + 41973 = 0, -2*l + 34991 = 5*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -71.9?\nAnswer: -4.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 21*z - 462. Let l be x(20). Is l <= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2 - -4) - -1. Let f = 15 + -12. Calculate the remainder when r\/3*15\/(-2) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-24)*(-120)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 18 = 2*n. Solve -q = r - 3*q - n, -r = q + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12002122123 + 1?\nAnswer: 12002122130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*f**3 + 62*f**3 - 70*f - 2*f + 2 as t*f + a*f**2 + m*f**3 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 10*m**2 - 3*m**2 + 5*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 32*n**3 + 199*n**2 + 31*n - 3. Give b(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 25 = 41 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 + 37*x + 19. List the prime factors of q(-15).\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6360 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 3:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8092 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 975*t**6 + t**2 - 297 wrt t?\nAnswer: 117000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42*6\/(-45))\/(2\/5). Suppose 6*n = g*n - 24. Solve 2*q + 3 = n*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y + 20. What is the second smallest value in -1, y, -0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1\/7 (c) 21 (d) 19 (e) -10 (f) 1\/4 (g) 1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5 + 59*v**4 + 6447*v**3 + 18977*v**2 + 18854*v + 6264 = 0. What is v?\nAnswer: -54, -1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = -26*l - 23*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 - 3*a. Let s(i) = 16*i**2 + 16*i + 1. Let n = -13 - -12. Let g(x) = -12*x - 1. Let t be g(n). Determine t*b(d) + 2*s(d).\nAnswer: -d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1030231 (base 6) to base 4\nAnswer: 30113023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63314670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -18603*k - 55807. Calculate w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1321081351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**5)\/v**(4\/7))**(-1\/26)*((v**1\/v)\/((v\/v**(-6\/5))\/v))\/(v**(3\/4)\/((v**1*v)\/v*v*v)) assuming v is positive.\nAnswer: v**(1531\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50724839 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 + 2*k**3 - 5 + 2*k**3. Let f be (-1 - 0)\/(11\/(-121)). Let h(o) = 1. Let b(y) = f*h(y) + 2*n(y). Differentiate b(a) with respect to a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1498.640617 and 52372?\nAnswer: 53870.640617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + 4*a - 7. Let c = 21 + -26. Let j(m) = -2*m**2 + 3*m - 5. Determine c*d(u) + 7*j(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -18*y + 0*y - 29*y**2 + 28*y**2 - 12. Let j be h(-15). Let u = j + 76. List the prime factors of u.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*y - 155, -20 = -5*u + u. Is (y\/4)\/(3\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and -4047.\nAnswer: -186162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1233829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/6*(-36)\/(-24). Suppose 16 = -2*a + 5*h - 9, -h + 5 = -c*a. Let -1\/5*x**4 + 0*x**3 + 0 + a*x + 1\/5*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61.3302 times -0.139\nAnswer: -8.5248978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -872*n**2 + 2606*n + 22. Calculate u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s + 17. Suppose 4*o - 322 = 3*z - 312, o = -2*z - 14. What is b(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.09 + 0.94. Let u = -0.15 - i. Sort u, 1\/7, -0.2 in increasing order.\nAnswer: -0.2, 1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 370*b - 373*b = -7, -37 = 5*o - 3*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.12, 2\/7, -14?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -50*c**3 + c**2 + 28*c. Let i(y) = 74*y**3 - y**2 - 39*y. Determine 5*i(v) + 7*l(v).\nAnswer: 20*v**3 + 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g + 3*x, -3*g - 14*x + 18*x = 23. Sort 2, -16, 0, g, 3 in ascending order.\nAnswer: -16, g, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 7) + 0 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2462488 divided by -615622\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - b + 1. Let l be y(1). Let c = -3 + l. Suppose -s - c*t + 2*t = -12, -19 = -2*s - t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-4))\/16*8. Suppose g + p*b + 11 = 43, -2*g = -4*b - 64. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621853?\nAnswer: 53, 71, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660090 and 16172205.\nAnswer: 32344410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36702729*i**2 + 26627182*i wrt i.\nAnswer: -73405458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1669*n - 14. Let o(g) = g + 1. Calculate o(q(m)).\nAnswer: -1669*m - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/52 - 150\/78. Put 2, w, -33 in decreasing order.\nAnswer: 2, w, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 556865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 3, e: 4, s: 1, v: 3, i: 1}. What is prob of sequence ci?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5.96. Let z = q + 0.26. Let y = z + -0.1. Sort -0.3, y, -0.4 in increasing order.\nAnswer: -0.4, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (29 - (-14 - (-34 + (10 - -2))))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4, -w = 3*h - 2*h + 1. Suppose -2*q = v + 1, -4*q - q + v + 1 = h. Solve -k - 3*k - 16 = q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779?\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5*209\/(-385) - 2) - -3?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(84)*-2 - (3*(sqrt(84) + 2*sqrt(84) + sqrt(84)) + sqrt(84) + sqrt(84)))*1)\/(6*(-4*(-2*sqrt(96) + sqrt(96)))\/sqrt(8)).\nAnswer: 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130243107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 605\/9 + -67. Let r = -45 + 29.4. Let v = 15.8 + r. What is the closest to -0.3 in l, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, y: 4}. What is prob of sequence yt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 372*w + 744*w - 372*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x - 3. Let o be 6\/x + 2 + -3. Which is the closest to 0? (a) -1\/3 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28158\/5415 + 188\/(-15)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpprfprporrrrfrof. What is prob of sequence fo?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 182*j + 203. Calculate g(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420519?\nAnswer: 1420519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -2613.\nAnswer: -2608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112302 (base 4) to base 7.\nAnswer: 22123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372277532 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 + 947*k**2\/5 - 3772*k\/5.\nAnswer: -k*(k - 943)*(k - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37622250 and 10125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 40*f**2 + 9*f + 4. Let z(y) = 10*y**2 + 2*y + 1. What is -2*s(p) + 9*z(p)?\nAnswer: 10*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4)*(-15)\/(-45)*-6. Solve g*z = 25 - 31 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/15 + (-18)\/135. Let t = 3 - x. Suppose z = -r + t*z + 8, 2*z = -r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + sqrt(128) + 0 + -1 + 5*2*sqrt(128))*-4.\nAnswer: -384*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22736 + -0.22725534. Round o to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/6*4553954\/115 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/((sqrt(432) + sqrt(27))\/sqrt(9)))**2 - (3*sqrt(125) + -2)) + 1.\nAnswer: -15*sqrt(5) + 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 8*z - 6. Suppose 3*q = -5*j - 1, -3*q + 4*j + 19 = 2. Let n be w(q). Let m(i) = 7*i - 9. Let a(h) = -4*h + 5. Give n*m(g) - 5*a(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - 9. Let t be (-6870)\/o + 8\/(-52). What is the highest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6 - 0. Let n(t) = -517 + 3*t + 2*t**2 + 517. Let h(q) = -q. Let m(g) = z*h(g) + 3*n(g). Find the second derivative of m(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7409465 > -7409463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 7. Let t be m(-6). What is the greatest common divisor of t and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 27*k**4 + 2*k**2 + 4*k**2)*(1 + 2*k - 1).\nAnswer: -54*k**5 + 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -3)*(-3)\/(-2). Let p = 0 + x. Let k be 114\/18 + (-2)\/p. Solve b = -b + k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/8)\/(1\/(-4)). Let i = 10 - 10. Suppose 5*c = -n - 15, 2*n - 3*n + 4*c + 3 = i. Sort 1, w, n in ascending order.\nAnswer: n, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 65*j - 62*j = -125, -f = -2*j - 32. Solve -3*k - 15 = 0, -4*k = -4*s + 18 + f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4764901 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2307097\/96 - -24032. Calculate the common denominator of 101\/22 and a.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:13 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2726880 divided by -152.\nAnswer: 17940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/105 and -139\/82193790.\nAnswer: 82193790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3458 = 784*b - 1693*b + 643*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000068103 rounded to 7 dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 46. Suppose -f*z = -12*z + 272. Let v = 72 + z. Solve 3*g + v = 4*x, 3*x - x - 3*g = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 5 + (-27 + 20 + 51)*(-5 + 5 + 5))*(2*i - 2*i - i) as g*i + n and give g.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52193306 and 1694?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/32544 and 31\/4068.\nAnswer: 32544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*784506.\nAnswer: 1176759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542196400 rounded to the nearest one million?\nAnswer: 1542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -51561 times 5?\nAnswer: -257805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 0*d**2 + 16\/3*d**3 + 0*d + 1 - 7\/2*d**4. What is the third derivative of b(r) wrt r?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2) + (-204)\/2. Let l(v) = -7*v**2 + 20*v + 19. Let m be l(-1). Let d be (-12)\/16 + u\/m. Solve -4*t + 4*s + d = 0, 6*t - s = 3*t + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 10*l + 18. Let p = 95 + -84. Calculate the remainder when 20 is divided by j(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9183 - 8041. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8928 + -8927.06. What is the fourth smallest value in -1\/5, l, -4\/3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41483*m = -41492*m + 2340. Solve 263*i - m*i - 18 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69767?\nAnswer: 69767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*i**2 + 14\/3 - 5*i.\nAnswer: (i - 14)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 18248574.\nAnswer: 1\/18248574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7 + 2*v + 3*v - 7*v - 2. Let f(d) = -61*d + 6 + 4 - 6 + 122*d - 62*d. What is 5*f(s) - 4*m(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*o - 205*o = -6*a + 88, -5*o = a - 19 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 12. Calculate f(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4 - (-72)\/16). Solve l = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498872265 plus -3.15?\nAnswer: -1498872268.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*j - 297 - 1159 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-24)*l**(3\/2))\/(l**(-2\/5)*l**4) assuming l is positive.\nAnswer: l**(-251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 2\/3, -1\/593?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r + 1731 + 7659. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.390587 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Let d be 2 - (-2)\/(2 - 0). Sort -0.4, d, r in descending order.\nAnswer: r, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989750?\nAnswer: 2, 5, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000000047 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010111011010010 (base 2) in base 11?\nAnswer: -212218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 10. Let t be g(5). Let d be 1\/(6\/4 - 1). Let o(f) = -d*f**2 + 2*f + 5 - 2*f. Let y(k) = 3*k**2 - 8. What is t*y(x) + 8*o(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 1 - 157 = 7*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 54329840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/191, 0.3, 5, -0.1, -19755 in increasing order.\nAnswer: -19755, -0.1, -3\/191, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 2*z**2 + 0*z + 0*z + (-z - z + 3*z)*(-5*z + 2*z + 2*z) + 379*z**2 + 378*z**2 - 962*z**2 to t + y*z**2 + j*z and give y.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:53 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a = -5*n - 15, 3*n + 2*a = -34. Let v be (-5)\/10*(n - -2). Factor v - 2 + 0*c + c**2 - 2*c.\nAnswer: (c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-250)\/(-5*8\/28840). Round h to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -19\/9, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -61*b + 59*b + 5*a, -4*b + 2*a + 10 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**6\/120 - n**4\/24 + 3*n**2\/2 - 6*n. Let r(p) be the first derivative of f(p). What is the second derivative of r(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 6*i - 5 + 2 + (3 - 5 + 0)*(-2*i - 2 + 2) + (-3 + 0 + 1)*(-i + 2 - 2) - 6*i + 4*i + 3*i.\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 + 10 = h. Suppose h = 7*b - 103. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719431.\nAnswer: 409, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*p + 5*p, 2*h - 115 = -5*p. What is the remainder when 75 is divided by 216\/h*(-60)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84050\/3 - 820\/3*h - 2\/3*h**2 = 0. Calculate h.\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(14)\/sqrt(2)) - 2*(sqrt(110)\/sqrt(10) + sqrt(11))**2) + 1 + (-5 + (-3 + sqrt(11))*1)**2.\nAnswer: -15*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3208912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = 0. Suppose o - 3*v = 18, t*o + o - 2*v = 13. Let z(p) = 11*p. What is the remainder when z(o) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 16 = 3*l + 4*z, l + 785*z + 9 = 783*z + 35 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/7, 0.1, 5\/4, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2852*n - 45201 = -185*n + 50811 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -921, -7058, -23665, -55962, -109169, -188506, -299193, -446450?\n\"Answer: -870*g**3 - 15*g**2 - 2*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4 - 85. Find the second derivative of -k*w**3 + w - 3*w - 6*w wrt w.\nAnswer: -162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + (-9 - 0) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxx when three letters picked without replacement from yixsxxxxixxshx.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:40 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 22*q + 19. Let u be r(10). Suppose -3*s - 3 = 6. Let f be (-1 - (s - u))*3. Which is the nearest to 2\/3? (a) 8 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8444, 8434, 8388, 8288, 8116?\n\"Answer: -3*h**3 + 11*h + 8436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233740.\nAnswer: 2, 5, 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -77. Let a(r) = r**3 + 6*r**2 + 8*r - 7. Let o be a(g). Let n = 175 - o. List the prime factors of n.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j + 8. Suppose -5*s - 4*z + 62 = 0, j*z + 8 = 2*s - 0*s. Solve -s = 3*f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*w + 121*w + 77. Solve w = -7*z - 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -11*z + 12*z + 5*j, 2*z + 5*j - 344 = 0. Calculate the smallest common multiple of 918 and z.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28471776.\nAnswer: 2, 3, 296581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/6? (a) 20 (b) -2\/3 (c) 30121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 69 = -11*c. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2\/2 + 1. Let t(x) = -2*x. What is the lowest common multiple of (-2 + 1)*q*-1 and t(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 2. Let n be f(0). Suppose 0 = -n*u + 105 - 17. Let j = 20 - 9. What is the highest common factor of u and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 241 - 482 + 241.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017215009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2321.6887 to the nearest 10.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 70. What is the smallest common multiple of (126\/(-8))\/(93\/16 + w) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-280) + (-122)\/(-20). Solve 4*g = i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154271996 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37\/2 - -19. Let l = -0.23 + 0.29. What is the nearest to 1 in a, l, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {r: 5, n: 7, a: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.470334 - 0.3.\nAnswer: -1.770334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -18334, -12?\nAnswer: -18334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.3 - -14. Let a = 218 - 5894\/27. Let w = a - -2\/27. What is the nearest to w in -0.5, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/2 and (-57)\/(-36)*(-9)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3810 = 444*s - 190*s. Let o = -224 + 111. Let t = -54 - o. Calculate the remainder when t is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6771 is divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by 1076541.\nAnswer: 64\/1076541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 58 + 44 - p - 131 + 43 as d*p + i*p**2 + u*p**3 + f and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*l - 2, 5*i + 4*l - 3 = -11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k**2 + 2*k - 2. Let v be n(3). Suppose v = -2*q - 12. Let u = q + 101\/6. Which is the nearest to -3? (a) -3 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/1020 + 3*l**5\/170 - 2*l**4\/51 + l**2 + 13. Determine s so that i(s) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.046, -1\/10, 11.5, 3?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18867*y**4 - 19188 wrt y.\nAnswer: 75468*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 249\/((-192975)\/(-39500)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32156.\nAnswer: 2, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1954119*o**2 + 1953453*o**2 - 3907557*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6170 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1806.73 (c) -109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6242*r - 43703. Determine t(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 13.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((3*sqrt(8))**2 - sqrt(2)) + -1*sqrt(162))*4.\nAnswer: -240*sqrt(2) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 116*v - 3364.\nAnswer: -(v - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -95*s + 285. Let g be q(3). Let p(v) = -v**3 + 2*v**2 - 12. Calculate p(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51892.2 - -51892.210798908. Let w = m - 0.0108. Round w to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 16*l + 22. Let d be u(9). Let x = 85 - d. Sort x, 2, 4 in ascending order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -496 + 963. What are the prime factors of n?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -495915*y**3 - 566784*y wrt y.\nAnswer: -2975490*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 26.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*b**3 - 13*a*b*x**2 + 2*a*x**2 - 157*b**3*x**2 - 3*b**2*x wrt b?\nAnswer: -12*a - 942*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136400*c**3 + 367583*c wrt c.\nAnswer: 818400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 10, n: 3}. What is prob of sequence ww?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hppppphhphphphhppphh. Give prob of picking 2 h and 1 p.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021103 rounded to five dps?\nAnswer: 0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 45+-72\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -588*f**5*t + 4*f**4 + 1019*f**2 + 12*f*t + t wrt f.\nAnswer: -35280*f**2*t + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2177 - 1403. Let q = 773.999998526 - d. What is q rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 7:02 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*m + 20 - 2, 10 = -4*m - c. Let l(w) be the second derivative of w**4\/6 + w**3\/3 - 3*w**2\/2 + 4*w. Give l(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36\/637939 or 0?\nAnswer: 36\/637939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c8 (base 13) in base 3?\nAnswer: -200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*t = -2*g + 20, 4*t - 16 = 0. Let z = -2 - -3. Let j = g - z. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4411010 (base 5) in base 4?\nAnswer: -102133223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 200*i + 1602. Let q be x(-8). Let y = -3 - -6. Suppose -3*g + y*b = 0, -4*b - 4 = 4*g - 9*g. Solve 5 = -2*o - r, 0 = g*o + 2*r + q*r + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-9)*r*(r*r**4)\/r*r\/(r*r**(-3\/29)\/r)*r*r**(-27)\/r assuming r is positive.\nAnswer: r**(-316\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from rrqbuubuguibrub.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 1463, 5013, 11929, 23333, 40347?\nAnswer: 64093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/1 + (-3 - -2). Let u = h - -20. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.106229 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 65 = -43. Let c(o) = -4*o + o**2 + i + 3*o - 28 + o**3. Let q(d) = -6*d**3 - 5*d**2 + 5*d + 5. What is 10*c(j) + 2*q(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1160\/(-435)*15\/4 + 5. Let h = -7 + 4. Put r, 15, 0, h in descending order.\nAnswer: 15, 0, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 8*o**2 + 8*o + 67. Let f be i(-8). Suppose 7*u = 4*u + 24. Solve -f*b + u*b - 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1213 + 3?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 41*w - 197*w + 38*w + 37*w + 41*w + 41*w. Let c(v) = v**3 + 10*v**2 + 1. Let k be c(-10). Let f(p) = p**3 - p**2 + 5*p + 2. Give k*f(m) - 5*a(m).\nAnswer: m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 560*l + 1115*l - 5*l**2 + l**2 - 555*l.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 61, 190, 375, 616?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let r be 1 + f + 1 + -1. Suppose -r*y - 5*m = -6*y + 17, 0 = -2*y - 5*m + 1. Solve -4*h = -5 - y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 135 - 650. Suppose x + 311 = 4*w, w - o = -w + x. Let b = -1 - -12. What is the highest common divisor of w and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 16, 52, 122, 238, 412?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/4 - 11\/44. Suppose -33 = -b + l, -5*l + l - 60 = -y*b. 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: Let q(x) = -19*x**4 + 60*x**3 - 66*x**2 + 38*x - 3. Let p(l) = -9*l**4 + 29*l**3 - 33*l**2 + 19*l - 2. Let s(v) = 5*p(v) - 2*q(v). What is o in s(o) = 0?\nAnswer: 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.32 + -8.32. What is the nearest to -5\/4 in 2, 1\/4, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -687*h**4 - 76914*h**3\/5 - 29556*h**2\/5 + 264*h\/5 = 0.\nAnswer: -22, -2\/5, 0, 2\/229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**3\/3 - 45*j**2\/2 + 7*j - 50. What is q(10)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f - 5. Let h be r(4). Let i(s) = -s**2 + 57 - 57 - h*s. What is i(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4945*c**3 + 95*c + 34 - 95*c - 34.\nAnswer: 4945*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/4052 and -1\/16.\nAnswer: 16208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {k: 1, n: 3, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0608215 to four dps.\nAnswer: 0.0608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let k(o) be the first derivative of 4*o**5\/15 + o**2 + 8. Let d(c) be the second derivative of k(c). Determine d(s(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50480846 to the power of 1\/2, to the nearest integer?\nAnswer: 7105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l + 2221 = -m, 4*m = l - 544. Let t = l - 388. Calculate the greatest common divisor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 15133?\nAnswer: -15122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5 - (-3 - -1))*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366 (base 10) to base 4.\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 12, 0, -5 in ascending order.\nAnswer: -5, -1, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41064*c**3 + 154*c**2 - 34 wrt c?\nAnswer: -246384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 22 - 10. Let o(v) = 30*v - 48. Let y be o(3). Suppose 3*w + 9 = h, y = -0*h + 3*h - 4*w. Solve m*f + 5*n = 2*f + h, -2*n + 2 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.2 - 56. Let h = -0.1 + 0.2. Put h, -3, 1, k in increasing order.\nAnswer: -3, h, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 1. Let p(g) = -15*g**2 - 39*g - 15. Let m(s) = p(s) - 3*x(s). Factor m(k).\nAnswer: -3*(k + 2)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -481 - -485. Solve 0 = -5*g + 3*u - 13, 4*g - u = -5*u - j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11973 divided by 5794?\nAnswer: -11973\/5794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 935688800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 876\/(-148) - (17 - (-21 - -32))\/(-1)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -1655, 149\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 30, 34, 38, 42?\n\"Answer: 4*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -7. Let x = -0.29 + -0.21. Let v = -0.6 - x. Which is the third smallest value? (a) 0.2 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2*9)*(99 + -81). Let o = -298 - c. Solve 4*w - 14 = -o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - 321\/(-15) - (-10)\/125*(-3195)\/684.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 a when four letters picked without replacement from vvqcxxvxavxvxcvxxvx.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 z when three letters picked without replacement from {z: 2, y: 3, w: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k - 96662 = -97814 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -3*m, -4*p = -0*p + m + 23. Let k(i) be the second derivative of i**5\/20 + 7*i**4\/12 - i**3\/2 - 9*i**2\/2 + 42*i. What is the tens digit of k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37856 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - ((1 + sqrt(208))*-1)**2) + (2*sqrt(208))**2 + sqrt(208) + -2.\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/7 and 11\/1253?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54 + (-31)\/(341\/132). Solve -4*o - u = 3*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55137.59 rounded to the nearest one hundred?\nAnswer: 55100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (642\/42 - -1) + 4\/(-14). Suppose s*f + 387 = 2947. Calculate the highest common factor of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 0 + 0)*(5 - 4*s**2 - 5 + (-2*s + 3*s - 2*s)*(2*s - 1 + 1)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 + 2*w)*(3 - 3 - 1) - 2*w + 0 + 0)*(-w - 3 + 3 + (-4*w - w - 2*w)*(-2 + 3 + 0)) to p + j*w**2 + k*w and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3145 (base 15) to base 13\nAnswer: -4982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1162831825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 16*h**2 - 4*h - 2*h**3 + 6*h.\nAnswer: -2*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 2983*x + 8898289\/2.\nAnswer: (x - 2983)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6029 - 2189. Let r = 15285\/4 - t. What is the common denominator of r and 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {n: 6, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 713, 1080, 1447?\nAnswer: 1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46 times 50743\nAnswer: 2334178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 16. Suppose -1524 = 157*s - 411*s. Calculate i(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 13) in base 3?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zki when three letters picked without replacement from ziugeegk?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4+0.040932\nAnswer: 4.040932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38921543 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 40875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 511c - -2?\nAnswer: 5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/2 + 21109*x**2\/2 - 8954817*x\/2 - 8975925\/2 = 0.\nAnswer: -21525, -1, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13a38 - 8a?\nAnswer: -13ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -35*c**5 + 3210*c**4 - 13325*c**3 - 90450*c**2 + 72760*c + 27840 = 0.\nAnswer: -4, -2\/7, 1, 8, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 6.43\nAnswer: -11.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-340)\/(-204)*255\/25?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008788267 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1006476071*a + 620602012.\nAnswer: 1006476071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.503 in -0.4, -1, 1\/3, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1768.060184 rounded to zero decimal places?\nAnswer: -1768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3335*z + 1371*z + 44820 = -1134*z for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20880, -20864, -20848, -20832?\n\"Answer: 16*y - 20896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287717933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*w + 44, 2*t + 2*t - 40 = 4*w. Let l = -4 + t. Let y = -3 + 2.9. What is the closest to y in 0, l, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.97043958 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 430 = 6. Suppose -3*v = -5*v + 6, -p = -4*v - y. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3\/3 - 7*p**2\/2 + p. Suppose 0*m - 2*i = 5*m - 29, 0 = -m - 3*i - 2. Determine a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m*m**(-28)*m)\/m))\/(m*(m\/(m*m**(1\/23))*m)\/m) assuming m is positive.\nAnswer: m**(599\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 86218638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3089*r - 18373. Calculate s(-6).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 6, 0 = 4*t - 3*x - 26. Suppose -2*w = -t*i - 4, -2*w + 5*i = -7*w + 10. Suppose w*a + a = 21. Solve -u = -4*b + a, 3 + 0 = -3*b - 2*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/56*273\/78.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 42. Solve -h*m - 8 = 2*z, -5*z = 5*m - 2*m + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664221950 to the power of 1\/3, to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23323130231 (base 4) in base 6?\nAnswer: 151005125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 4. Suppose -17*u = 125 + 28. Calculate a(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:06 AM?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/11)*l*l*l**33*l*(l\/(l\/(l*l**(4\/7))*l)*l)**(5\/3) assuming l is positive.\nAnswer: l**(9005\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837014171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001001 + -11110110010101000101?\nAnswer: -11110110001101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3296*m**4*r**2 + 2*m**2*r**3 - 192668*r**3 wrt m?\nAnswer: -13184*m**3*r**2 + 4*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 4, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002274 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 - 6 + 6)*(1 + 4*z - z - 2*z).\nAnswer: -3*z**5 - 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 154a?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8935 is divided by 342.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 5:50 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 15. Suppose -p + j*p = 18. What is the greatest common divisor of 6 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770 + 259*p**3 - 770.\nAnswer: 259*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16790491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 4*r - 5*q, 0 = 4*r + 2*q - 30. Let w be r\/45 + 348\/90. Let l be ((-4)\/8)\/((-2)\/(-4)). Put w, l, 1 in descending order.\nAnswer: w, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13.7 (b) 22\/3 (c) -4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 177496 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5 + u**2 - 6 - 2*u + 4. Determine y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)*(-2 + 75\/5). Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 2)\/(12\/(-18 + 30)). Let j(h) = -h + 7. Let p be j(-9). Solve 2*g - p + 10 = u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20013 or 20022?\nAnswer: 20022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-3)\/(-1) + -8). Suppose -4*f - 2*j + 922 = 0, -n*f + 6*j + 1146 = 2*j. Let s = 441 - f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Suppose -z = -3*o + 10. Suppose -3*m - 116 = -4*m + 5*i, -o*m - 3*i = -556. Calculate the highest common divisor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tztj when four letters picked without replacement from {o: 1, j: 5, l: 2, t: 7, z: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 91.594 * 0.1\nAnswer: 9.1594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121374440309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.727 - 1.927. Let x = 36 - 64. Sort w, x, -5 in ascending order.\nAnswer: x, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 46691631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:15 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/9)\/2)\/(536\/12060)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 8*b + 11. Let k be j(9). Suppose 5 = p - 0*p, -3*t = -5*p + 16. Let x(v) = 3*v - k*v - v**t + 0*v**3 - 4*v**2 + 9*v**2 + 2. What is x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17788 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 13*v + 2. Let m be z(14). Suppose -2*c + 1 + 71 = 0. Let p = m + c. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 986?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -396460, -792913, -1189366, -1585819, -1982272, -2378725?\n\"Answer: -396453*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 15*v + 15. Let a be -1*1\/((-3)\/36). List the prime factors of f(a).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from tvdtb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*y = s - 428, 328 = 3*s + 5*y. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*sqrt(77)*-2)\/sqrt(11))*1.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*o + 32223 - 94785, -3*o = -2*m + 41683. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 13*m)*((-2*m**2 - 5*m**2 + 3*m**2)*(3 - 1 - 3) - 6 - m**2 + 6).\nAnswer: -39*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22.87 - -1.7\nAnswer: -21.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 844.\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*z**4 + 2038*z**2 - 2*z**3 - 44*z**4 + z - 2038*z**2 - 8 as j*z + t + l*z**2 + x*z**4 + b*z**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 8 + 8)*(-34 + 59 - 36) + u - 5*u + 2*u.\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324824.\nAnswer: 2, 19, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 35*p - 26 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9695*v + 119 = -9712*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 39222345.\nAnswer: 3922234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74132821 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/2 (b) -2 (c) -683 (d) -0.1 (e) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-62867)\/(-13))\/7 + (-4)\/(-26).\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from 107.6.\nAnswer: 106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4068 and 14271561.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u**2 - 894*u - 2264. Determine i(77).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 221548530 to the nearest 10000.\nAnswer: 221550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7*f**3 + 19*f**3 - 3.\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 12) to base 16\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*28\/(-6048))\/(2\/(-16))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*h + 68226, -2*s + 5*h = -15934 - 52283. Let q = s + -21156. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(486)*3 - sqrt(18)\/(sqrt(300)*-2))\/(6*sqrt(48)*2 + sqrt(21)\/(sqrt(21)\/sqrt(27) + sqrt(7))).\nAnswer: -539*sqrt(2)\/975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92785 and 10340?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25753 is divided by 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30129\/3470 + 6\/347. Find the common denominator of -48\/7 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55a (base 11) to base 6.\nAnswer: -3034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = -9. Suppose i*b - 163369 = 406631. Round b to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -462 in 0.1, -0.5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 + -196. Let h = 5\/24 + 1\/8. Put h, -5, l in descending order.\nAnswer: h, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2\/11 - 14*x\/11 - 8\/11 = 0.\nAnswer: -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*j + 46*j + 51*j**2 in the form p*j + l + w*j**2 and give w.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 187754437*-0.03\nAnswer: -5632633.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 26*c + 5 - 5 in the form i + y*c and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 273277511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/8)*b*b\/(((b*(b*b**(-1\/3))\/b)\/b)\/b))\/(b**(2\/7)\/(b\/((b\/b**(-12))\/b))) assuming b is positive.\nAnswer: b**(-1357\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14106*v**2 - 3 + v + 2 - 675*v**3 + 14106*v**2 - 850*v**3 to l*v + x + i*v**2 + w*v**3 and give w.\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63000 divided by 36.\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25039065 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.085 and 116.\nAnswer: -9.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z - 13 - 1\/4*z**2.\nAnswer: -(z - 26)*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5776 divided by -589\nAnswer: 304\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53696853.\nAnswer: 3, 7, 79, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 11*x - 21)*(-34 + 50 - 66)*(5*x**2 + x**2 - 3*x**2) as n*x**3 + c + l*x**2 + b*x and give n.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 10}. What is prob of picking 1 l and 1 v?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 72, 1\/4, 0.1 in decreasing order.\nAnswer: 72, 3, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 37 = 7. Let n be s*96\/3*-10. Round n to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.2 + -15.3. Let v = -55.1 - d. Let h = 72.1 + v. Is h at most as big as -0.031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006834 rounded to 5 dps?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab7 - 15?\nAnswer: -acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 32*u**2 + 26*u + 48. What is the smallest common multiple of 22 and v(-6)?\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:39 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - 1.79. Let o = n - -40.8. Let w = o + -40. Which is the nearest to 2\/9? (a) w (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - d + 1009 - 1000, -q + 7 = -2*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1123080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 17. Let g be n(12). Let h = 151 + g. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 4*n + 1. Let o = 9 - 5. Let f(u) = 0*u**2 + o - 15*u - 2*u - 5*u**2. Calculate 2*f(m) - 9*g(m).\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*x = 8 + 52, -31 = 4*q + x. Let i = q - -15. Suppose k - 40 = i. Calculate the remainder when k is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from npgil?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 109 = n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, b: 3, e: 11, x: 1, i: 1}. What is prob of sequence jjb?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + -0.1. Let s = 0.09 + 0.21. Which is the closest to -0.1? (a) s (b) y (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + b - 3 + (3*b + 3*b - 3*b)*(4 - 1 + 1).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 34*z - 1234. Give y(41).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2354638ns to microseconds.\nAnswer: 0.0002354638","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*a - 239*a = -199206. What is the remainder when 1120 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9755098 is divided by 334?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 7)*(17 - 16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199505 is divided by 14550.\nAnswer: 10355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64 - 30c641?\nAnswer: -30c5aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14120 is divided by 113.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*c**2 - 7\/3 + 1\/6*c**3 - 19\/6*c = 0. What is c?\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((15 + 0)\/(-3))\/(-1). Let a be ((10\/(-3))\/s)\/(-1). Factor -7\/3*t + a - 3*t**2.\nAnswer: -(t + 1)*(9*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -7b?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 68, 154, 274, 428, 616?\n\"Answer: 17*d**2 + d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -0.102?\nAnswer: 2.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110111111 (base 2) to base 6.\nAnswer: 15315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:05 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 183 - 561 = 0. Is -5 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4.06. Let c = h + -0.64. Let k = 0.78 + c. What is k rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -359 + 2669. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 2129648*i\/3 + 566925075488\/3.\nAnswer: 2*(i + 532412)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153.9665 + 154. Let o = -3.5035 + i. Let c = o - -3.1. Round c to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s - 49192 = 9*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 10) in base 3?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101692727 + 101692727 - 38*j**3.\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 29*r**2 + 3*r + 2. Let s(x) = -146*x**2 - 16*x - 10. Let l = -3422 + 3438. What is l*h(w) + 3*s(w)?\nAnswer: 26*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 411\/(-274)*(-25)\/(-90)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y**3 + 881*y**3 + 284*y**3.\nAnswer: 1201*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(((-5)\/6)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h**3 - 6*h**2 + 4*h. Let p(q) = 41*q**3 - 17*q**2 + 11*q. Give 17*f(d) - 6*p(d).\nAnswer: -8*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b - -6347?\nAnswer: 6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 - 2 = -4*i, -2*c = -5*i + 7. Let j be 36\/30 + c\/5. Let n(w) = 14*w. Let p be n(1). Solve -4*o - p = j*v, -3*o - 15 - 13 = 5*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1202.6 - 1187.6. Which is the nearest to 0.2? (a) -6 (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-670)\/804)\/(12\/648) + 121\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/(21\/((-7497)\/(-14))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -285515? (a) -3.3 (b) -0.3 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1461, -11.1, 0.3, 0.2, -0.2 in ascending order.\nAnswer: -11.1, -0.2, 0.2, 0.3, 1461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/6*273\/(-364))\/((-10)\/6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/48*0\/(-2) + 28. Suppose 4*j = o + 20. Let p be j\/(9\/(-6) - -3). Solve 5*h + 2*c - 20 = -2*c, -2*h + p = 3*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 284*v - 1631. Let m be n(6). What is the closest to -1 in m, 0.3, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = 5*t + 2*v + 515, 14 = 2*t + 3*v. Suppose 2*i = 7*i - 15. Let h(n) = -n**2 + 5*n + 3. Let p(q) = -q - 1. Give i*p(l) + t*h(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 31*f + 62. Let s be l(13). Let c(o) = o**3 + 3*o - 2. Let h(v) = -2*v**3 - 3*v + 2. Give s*h(y) - 4*c(y).\nAnswer: 2*y**3 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4411\/3 - 1470. Let x(o) be the third derivative of s*o**3 + 0*o**5 + 0*o + 0 - 6*o**2 + 1\/120*o**6 - 1\/8*o**4. Factor x(g).\nAnswer: (g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from gpace?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g - 2*g)*(3 + 1 - 2) + g - 2*g**2 - 2*g**2 + 2*g**2.\nAnswer: -8*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m + 0*m + 11*m + 11*m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -263363, -526729, -790075, -1053401?\n\"Answer: 10*o**2 - 263396*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Suppose -k - 16 = z. Let f = z + 29. Calculate the remainder when 27 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbuuubuubcubcujubb. What is prob of picking 2 b and 1 u?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from jaqnraaannjmmaqan.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5298277 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 82*g**2 + 55*g + 166. What are the prime factors of t(77)?\nAnswer: 2, 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 86 = 23. Let f be -5*1 + i\/(21\/6). Let c(o) = 10*o + 4. Let u(p) = 7*p + 3. Determine f*u(h) + 5*c(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:10 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**3 + 14*d**3 + 2*d**3 + (-4*d - d**3 + 4*d)*(1 + 0 - 3).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2)*(-5 + 5*y - 2 + 1) to o + h*y and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 5) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32620062 - 4?\nAnswer: 32620056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900)*-5 + sqrt(1900))**2 - (sqrt(1900) + -1 + 1)**2.\nAnswer: 152000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let p(a) = -5277*a. Determine p(r(i)).\nAnswer: -5277*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/11)*p*p)\/(p**10*p)*(p**(-2))**(2\/111))**39 assuming p is positive.\nAnswer: p**(-146315\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x\/(x\/(x**(-14)\/x*x)))\/x)))**(4\/7)*(x*(x**2*x)\/x)\/x**1 assuming x is positive.\nAnswer: x**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5*q**3 - 1242*i**3*q**3 + 32*i*q - 13*q**3 wrt i.\nAnswer: -20*i**3*q**3 - 7452*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12 + (1\/(-4))\/1. Let y be 2 + -4 + (-3 - s) + 7. Suppose y*o = -0*o + 54. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026714567 to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w**2 - 2*w - 2. Suppose h + 2 = 2*h. Let g be o(h). Let p be (-24 + 1)\/(1\/(-5)). Calculate the greatest common factor of p and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 30. Let h = t - -29.9999864. What is h rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((-84)\/9)\/(-7). Let g = -0.2 - -0.3. Put g, 5, l in descending order.\nAnswer: 5, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + -11 - (-10 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 8*q + 7 + 0 + (-3 + 2 - 1)*(-2 + 2 - 2*q).\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 1809*t**4 - 2816*t + 1 + 2790*t + 290*t**4 wrt t?\nAnswer: -18228*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 7*v**2 - v - 5. Let d be p(-7). What is the units digit of d\/21*7*303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85a12431 + -2?\nAnswer: -85a12433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43800491, -87600978, -131401465, -175201952, -219002439, -262802926?\n\"Answer: -43800487*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n - 336 + 336)*(-6*n**3 + 11*n**3 + 2*n**3) + (5*n**2 - 2*n**2 - 2*n**2)*(2*n**2 + 0*n**2 - 3*n**2).\nAnswer: 111*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52\/7, -253, 45, -0.4, 0.12 in ascending order.\nAnswer: -253, -52\/7, -0.4, 0.12, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1100937, 1100943, 1100971, 1101033, 1101141, 1101307, 1101543, 1101861?\n\"Answer: 2*c**3 - c**2 - 5*c + 1100941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 5*i**2 + i + 5. Let h be w(-5). Suppose g = -h - 3. Let x be ((g + 4)*0)\/2. Let m(z) = -z - 4. Determine m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from pnwnzpvvnvpznnnz.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -984304038301.\nAnswer: -984304038301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 13 = 5*s, -2*s + 4*a = 6*a - 10. Solve -3*l + 6 = -3*v, -3*v - s*l + 16 = -8*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 127, 140, 161, 190, 227?\n\"Answer: 4*l**2 + l + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:09 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a2 + 262?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 (base 13) in base 11?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(6\/(-8) + 0). Suppose 0 = 2*b + 4*g + f, 3*g = -2*b. Calculate the remainder when b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000235424865 to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/4)\/((-36444)\/(-4488) + -8) and 0 + 1 + 95\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 2, 1820?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 1 - (5 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12662.35223683 and -0.8.\nAnswer: 12661.55223683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**2 + 411*d**4 - 258*d**4 - 219*d**4 + (-3*d + 5*d + 0*d)*(6*d**3 - 4*d**3 + 0*d**3).\nAnswer: -62*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 less than -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 7:14 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 8 - 3. Suppose 0 = -4*v - m + 46, -2*m = -c*v - m + 53. Calculate the remainder when v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 8*f - 12. Give o(-14).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 2) + -33 + -4. Let a be (t\/12)\/(-5)*-6. What is the common denominator of -51\/8 and (-124)\/28 - -3 - a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 3*n**3 + 0*n**3 - 2*n**3 - 5*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 245571304 to the power of 1\/2, to the nearest integer?\nAnswer: 15671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*x - 20*x + 3*x)*(-2*x + 4*x + 0*x)*(0 - 3 + 5).\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r)\/r*r**(-1\/15))\/((r\/r**(-2\/17))\/(r*r**(-6\/7))) assuming r is positive.\nAnswer: r**(3496\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) 0.4 (c) -150 (d) 3 (e) -0.5 (f) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78924 by 78924.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjl when three letters picked without replacement from yfcjjjfjyfyljjjjjl.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -507 + 514.42. Let h = t - 8.9. Let g = -1.480382 - h. What is g rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 1 + 1)*(-5 + 5 - 2*r) - 12*r - 441*r**2 + 449*r**2 - 8*r to b*r + u*r**2 + o and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*o - 17*o - 1460. Suppose 64 = -a + o. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83556.2 + -83557. Let v be 3\/2*2\/(-24). What is the fourth biggest value in 1\/2, a, v, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 16*y**3 + y**2 - 1. Let w be b(-1). Let v be 3 + (-3)\/((-18)\/w). Factor 2\/3*l**4 + 0 + 0*l - v*l**5 + 0*l**2 - 1\/3*l**3.\nAnswer: -l**3*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -157364831?\nAnswer: -157364831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 5. Solve -l = 2*z - 0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1009 + -652. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6796842*c**2 - c - 80496669 wrt c.\nAnswer: -13593684*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + p = -2*z + 15, -5*z + 25 = -5*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32115005 and 5395?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:56 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 27*q**2 - 5*q - 107. Let o be b(-28). Let a = o - 813. Solve -5*k + 3 = t - 0, 2*k + a = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:17 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -703, -2503, -5401, -9391, -14467?\nAnswer: -20623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 2*t**2 + 4*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22209243 is divided by 72.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675480 is divided by 233?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = p - 4*k, -4*p + 3 = p - 4*k. Suppose -135 = -25*v + 22*v. What is the tens digit of (-15)\/(-25)*v*p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 15259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44811 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1374 and 10.0596.\nAnswer: 9.9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3512 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-12)*360\/(-17820).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.02, 6\/13, 1\/3.\nAnswer: -0.02, 0, 1\/3, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.2. Let k = 0.8 - -2.2. Let l = 3.5 - k. Which is the closest to 1\/4? (a) w (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/3 - 41849600*u - 251097608\/3 = 0 for u.\nAnswer: -2, 62774402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 99 = 5*s. Let n = -207 + 203. Is 22 a factor of (-1828)\/s + n\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/14108 - 28229\/183404. What is the nearest to v in -0.3, 1\/11, -3\/8, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:44 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7)*w*w)\/w**(-5)*(w\/(w**(-1)*w))\/w*w*(w**(-2\/3)*w)\/w assuming w is positive.\nAnswer: w**(166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -20605216?\nAnswer: 20605223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -b + 5*b. Let y be b\/4 + (-9)\/(-12). Is (y - 0)\/(2\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - v + 83 = -4*v, 4*v = -2*s - 156. Let y be ((-21)\/14)\/(6\/s). Suppose -12*w + y*w = 400. What is the remainder when w is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**3 + 25 + c - 25 to d*c + w + s*c**2 + y*c**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -8. What are the prime factors of (8*s - -2) + (-2)\/(-2)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 + 60. Let f = -121.99999899 - p. Round f to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 151*i - 5061 = 122*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -1)*554\/4. Suppose 486 = -2*j - 52*j. What is the remainder when r\/j - (-35)\/21 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/((-10)\/(-60)). Suppose 0*l = 4*l - 8. Let m be l\/8*(o - 4). Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208047643 and 11301?\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11*s\/(s**21*s)*s)\/(s*s**(-4\/11)*s)**(-16) assuming s is positive.\nAnswer: s**(189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 74123845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4 - 55*s**3 + 765*s**2 - 2565*s + 2700 = 0. Calculate s.\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 335?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 12*x + 25)*(-x**3 - x**3 + 0*x**3) + (-4*x**2 + 8*x**2 + 4*x**2)*(-2*x**2 + 2*x - 2*x).\nAnswer: -40*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 40, 87, 174, 313, 516, 795, 1162?\nAnswer: 1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3080 and 44891?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 + 2*q**2 - 4*q - 1. Let r(n) = -7*n**3 - 4*n + 10*n**3 + 225*n**2 - 224*n**2. What is 2*p(f) - 3*r(f)?\nAnswer: -f**3 + f**2 + 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2990, 7, -2 in descending order.\nAnswer: 2990, 7, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 9315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2787657626.\nAnswer: 2, 13, 37, 307, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -296 - -354. Calculate the remainder when 462 is divided by z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 244a - 463?\nAnswer: 1fe7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/4 - 4*z**3\/3 + 2*z**2 + 2*z - 3. Let f = 80 + -78. Let l be y(f). What is the second smallest value in -4, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1 (b) -2\/9 (c) 0.1 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4244822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-22)*(-28 + -159)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 136 + 354b?\nAnswer: 3685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88972467 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 3, g: 2, z: 4}. Give prob of picking 1 z, 1 a, and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72502 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckuc when four letters picked without replacement from {u: 2, k: 1, c: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4328 divided by 2164.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, z: 4}. Give prob of picking 1 f and 2 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 34*r**3 - 16*r**2 + 5*r - 9. Let x(l) = 5*l**3 + l**2 + l - 1. Determine -d(b) + 5*x(b).\nAnswer: -9*b**3 + 21*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i - 14*i + 5*i)*(-4*i - 15 + 8*i - 3*i).\nAnswer: -16*i**2 + 240*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 78*c - 104*c + 3280 = 31*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.08291, 5, 0.18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0602 - 0.2398. Which is the closest to -1? (a) h (b) 5\/3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/56 and 3362\/(-1344) + (-678)\/(-7119).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -396*n + 35272. Calculate h(89).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -153253 (base 6) in base 13?\nAnswer: -6aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -959\/3 - -319. What is the biggest value in r, 0.4, -1\/102?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b + 70. Let s be 7\/(b\/(-8)) - 1. Suppose -s*h + 56 = h. Solve q + 24 = -5*g, 4*g + 38 - h = 4*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g - 15. Let u(b) = b - 11. Let f be u(14). Suppose -4*t - 23 = 3*j, -3*t + f = -j - 9. What is the least common multiple of s(j) and 14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/i*i)**0*i**(2\/9)\/(i**2*i))\/(i\/i**(-10)*i**(-2\/23)\/i*i)**(-49) assuming i is positive.\nAnswer: i**(110116\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (-5 + sqrt(1584)*-2) - sqrt(1584)) + 3 + (1*sqrt(1584))**2.\nAnswer: 24*sqrt(11) + 1592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-14 - -16 - (-5 + 3)) + 25.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02711 + 253.984947\nAnswer: 254.012057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 - 6*g**2 + 2*g. Let o(f) = 3*f**3 + 7*f**2 - f. What is -6*o(m) - 7*r(m)?\nAnswer: 3*m**3 - 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 8.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -2) + 8 - 2. Let v = -13 + s. Let q = -52871 + 52866. Sort v, 3, 1, q in descending order.\nAnswer: 3, 1, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11439 and 3321.\nAnswer: 102951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 114 = -c, -2*b - c - 2*c - 62 = 0. Let z = b + 47. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*1\/(-2))\/(1442\/(-168)*-12). Which is smaller: -0.9 or d?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31020 (base 4) in base 2?\nAnswer: 1101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -758386 divided by -21\nAnswer: 758386\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*r. Is (-6 + -1471)\/(-2 + r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1178*f + 32935. Calculate y(28).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 4, -4 in descending order.\nAnswer: 16, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 10. Let w be s(0). Let n be ((-8)\/10)\/(w\/(-75)). Differentiate 15*q - 5*q**2 - 15*q - n wrt q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-142)\/(-497) - 10790\/(-14).\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-16)*c**(-1\/3))\/(c\/(c*c**(2\/5)))**49 assuming c is positive.\nAnswer: c**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 4. Let a be q(1). Suppose o + 0*o + d + 7 = a, 2*o = 3*d - 4. Let f(m) = -5*m**3 + 5*m**2 + m. Is f(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 9*t**2 - 4*t - 19. Let y be (10 + 0)\/2*36\/(-20). Let b be l(y). Suppose b*x - 36 = 15*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 < -14434.53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40081?\nAnswer: 149, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:33 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 - -6*(-120)\/126. Let u be (-6 - (-4 - 3))*4. Sort y, 1, u, -5 in descending order.\nAnswer: u, 1, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46000 and 2082000.\nAnswer: 2036000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 - y. Let k(t) = 9*t**3 - 2*t**2 + 7*t. Let o(z) = 4*j(z) + k(z). Let g(x) = -21*x**3 - 9*x**2 - 13*x. Calculate 2*g(a) + 9*o(a).\nAnswer: 3*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463*i = -317*i - 3650. Let h = 113 + -31. Suppose -3*f + h = -68. Calculate the highest common factor of i and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6931860, -13863657, -20795440, -27727203, -34658940, -41590645, -48522312?\n\"Answer: u**3 + u**2 - 6931807*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.2 + -42.2. Suppose i = 6*i + 10. Do i and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*n + 666*n - 2*n**2 - 1341*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 643 - 348. What are the prime factors of c?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -87. Let q be o\/(-3)*-3*(-2)\/4. Suppose -q*r + m - 6*m + 90 = 0, r = -4*m + 24. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 60 + 122 + 9*c)*(1 - 1 + c).\nAnswer: 9*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = m, 0 = -3*m - 3*n - 0 + 3. Factor 3 + 2*l**3 - 2*l - 80*l**2 + 78*l**2 - m.\nAnswer: 2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 872, 898, 946, 1028, 1156?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7675 is divided by 5723.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i - 46*i + 65*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3444 by -4.\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -8)*(-22)\/33. Sort n, 0, -2 in decreasing order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*g - 1, -5*g - 1 = 2*q - 5*q. Let u = 0.04 + -0.04. Which is the nearest to g? (a) 0.4 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 127091.\nAnswer: 69\/127091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 8. Let c = u - -5. Let y = 17 + -13. What is the nearest to c in -4, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -57541665336851.\nAnswer: -57541665336853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(-11453*w + 6 + 11 + 11456*w) to the form f + o*w and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 348209671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 + 74*k + 3008. Determine r(-28).\nAnswer: -1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/84*(-1)\/(3 - -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38721 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/12)\/((-1)\/(-4)). Suppose g*u = -3 - 0. Let h = 4 - u. Solve -l + h*l = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**6\/3 - p**4\/2 - 7*p**3 - p**2\/2 - 90. What is the third derivative of s(u) wrt u?\nAnswer: -120*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i + 20. Suppose i*d = 4*h - 17, 4*h + d - 14 = -h. Suppose -2*c + 2*z = -h*z - 158, -z = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - (61 + -63) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*m - 2*m, 2*b + 3*m = 17. What is the smallest common multiple of (3 + -3 + 8\/(-12))*-6 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -1\/70*v**5 + 0*v**3 + 0 + 0*v**2 + 0*v**4 - 4*v. Let r(p) = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4290074.\nAnswer: 2, 223, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyoe when four letters picked without replacement from eoeeieiityieetoeo?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 13}. Give prob of sequence ra.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -448184, -896437, -1344756, -1793147, -2241616, -2690169, -3138812, -3587551?\n\"Answer: -l**3 - 27*l**2 - 448165*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2422435 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 77 + c?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -72*c**3 + 3*c**2 - 6*c - 94. Let h(l) = 145*l**3 - 7*l**2 + 14*l + 187. Let g(b) = -3*h(b) - 7*o(b). What is the derivative of g(p) wrt p?\nAnswer: 207*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/34)*x**(4\/7) assuming x is positive.\nAnswer: x**(129\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 845 + -405. Suppose -7*d + m = 4*l - 5*d, -110 = -l + 4*d. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7836*j**3 + 12*j**2 - 86*j.\nAnswer: -47016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345 by 3.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -284, -383, -482?\n\"Answer: -99*u - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -358 - -367. Suppose -a - 1 = f*q - 10*q, 0 = -2*q - 3*a + 17. Solve 8 = 4*d, 10 - q = 4*b + d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - -5543e?\nAnswer: 5542b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4365179368 to the power of 1\/4, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2735871990 to the nearest 100000.\nAnswer: -2735900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1171, 2974, 5519, 8812, 12859, 17666, 23239?\n\"Answer: p**3 + 365*p**2 + 701*p + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x + 19. Let m = 138 + -101. What is the remainder when m is divided by b(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 723415*v*x**2 + 7*v*x - 1760*v - x - 2 wrt x.\nAnswer: 1446830*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**7\/294 - h**6\/70 + h**5\/70 - 4*h - 1. Let j(y) be the first derivative of o(y). Suppose j(m) = 0. What is m?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 1 - 17)*(3 + z - 3).\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 52725176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c + 6441229933313 - 6441229933313.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18885.4 and 231338.7.\nAnswer: 212453.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (6 - 9) - ((28 - 50) + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l - 82. Let o be k(-13). Let s be (-13 + -9)*(-5)\/(10\/o). Calculate the highest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 + 317. Let l = -90 + j. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/55, 2, -0.2, 2.2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 1. Let z(k) = 15*k. Let w be z(3). Suppose 4*l - w = -l. Suppose -3*c = 0, 0 = -3*d - 2*c - l. What is s(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67688207599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + 84. Is -1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367770 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0*o + 0*o**6 - o**2 + 0 + 0*o**4 + 1\/105*o**7 - 1\/6*o**3 + 0*o**5. Differentiate m(a) with respect to a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11330404 divided by 4?\nAnswer: 2832601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473 + (-11 + 371\/35)*20\/(-4) is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 3*q - 6. Solve 0*b + 12 = -5*n + q*b, -3*b + 1 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*z + 30, -z - 3 + 1 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 51 - 51)*(3*z**3 - 3 - 8*z**3 + 4*z**3).\nAnswer: 63*z**3 + 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 504\/(-1078) - 14\/385*-5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098656?\nAnswer: 2, 13, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1002 and -53\/8.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -672.243 - -68?\nAnswer: -604.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - 8)) + (10 - 2) + -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*v + 8, 4*j + 2*v = 9 + 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Suppose -v*l + 1113 = -4*f - f, -l - 5*f + 371 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4421*n - 11*g - 285 = 4426*n, -4*g - 100 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*o - 94 - 21, -3*o = -4*g - 72. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123*a*h**2*l**2 + a*h**2*l - 3*a*l - 3*h**2*l**2 - 3*h*l**2 + 8*h + 2*l**2 wrt h?\nAnswer: -246*a*l**2 + 2*a*l - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55156677 a multiple of 1954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5 + 5 - 4 - 3 - q. Let t be j(3). Suppose w + 2*w = t. Sort -5, w, -2.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10605116 is divided by 20473?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -867 + 1364. Let k = t - 10. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = 0, -n + 54 = -4*q - 2*n. Let x = -19 - q. What is the smallest value in 4, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*c - 2*c. Suppose 3300 = -h - 2*h + 4*d, 4400 = -4*h - c*d. Round h to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2 + 2)*(k + 0*k - 2*k - 1) + 8*k**2 - 3*k**2 + 8*k**2 as g + a*k + r*k**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 12460. Let f(s) = -2*s**2. What is f(l(w))?\nAnswer: -8*w**2 - 99680*w - 310503200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = -27. Suppose -4*w + 3*v + 155 = -100, 0 = -3*v + r. Let y = -9 + 15. What is the greatest common factor of w and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*y + 160*y - 26 = -4*v, 4*v - 3*y = 31 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -69, -161, -321, -555, -869, -1269, -1761, -2351?\n\"Answer: -c**3 - 28*c**2 - c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5429 bigger than -5426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17167236 by 12.\nAnswer: -1430603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 - 14 = 0. Let v be 60\/m*(-2)\/3. Solve -2*r - v*b = -8, -6*r = -3*r + 5*b - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -171\/7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 78, 85, 78, 51, -2, -87, -210?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1045\/52 - 81\/4. What is the second biggest value in 17, 0.5, -0.3, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 4*c**2 - 2*c**2 - 11*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197 + 241 + 153)*(-5*n**2 + 13*n**2 - 6*n**2) - 3*n**2 + 6*n**2 + 0*n**2 + (-4 + 5 + 1)*(3*n**2 - 2*n**2 + 0*n**2).\nAnswer: 1187*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.063 (b) -3 (c) -4.8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1133002022 (base 4) to base 8\nAnswer: 1370212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2 + 4. Suppose d + 12 = 5*q. Find the third derivative of 2*y**3 + 4*y**3 - 4*y**q - y**3 - 3*y**2 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/13 (b) 0.1 (c) 48 (d) 0.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -17 - 13. Let r = l + -5. Solve -9 = -r*z - 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u = -365815 + 366691 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9053315 is divided by 1093.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 326*v**2 - 2995*v - 131. Give w(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.902 - 0.102. Let s = i + -15. What is the smallest value in s, -2, 1, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 2*v + 66. Let r be u(-6). Let j be 1\/(r\/(10*138)). What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33381 - 1201577\/36. Find the common denominator of i and -47\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436282860 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(45).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/3 + 4459*h**3\/3 - 2253795*h**2 + 1225757475*h - 96515169750 = 0. Calculate h.\nAnswer: 94, 1455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 2*f**2 - 2*f - 1. Suppose 0 = -223*t + 224*t - 1. Suppose 32*j = 37*j - 2*l - t, -3*j = -2*l - 3. Calculate g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5315212?\nAnswer: 2, 7, 19, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2 - 19475294*a + 38950596 = 0?\nAnswer: -9737649, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) + 358\/24. Let v = -75\/4 + w. Is -4 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2315 - -2315. Let c(s) be the third derivative of u + 0*s + 1\/210*s**5 - 3*s**2 + 1\/21*s**4 + 1\/7*s**3. Factor c(i).\nAnswer: 2*(i + 1)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*n*y + 4889*k**3*q - 2*n**2*q*y - 6037*n**2*y - n*q*y + 410*y with respect to q.\nAnswer: 4889*k**3 - 2*n**2*y - n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1)\/((-5)\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/11 in -1\/3, -0.2, -2\/55?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 894 + -895. Let v(d) = 14*d. Let b(w) = w + 0 + 0*w + 1. Let a(u) = o*v(u) - 2*b(u). Differentiate a(c) with respect to c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2.281582412 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 383205?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1020\/208 - 5) + (-11)\/(-44).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**3 - p**2. Suppose -f = f. Suppose f*s - 10 = -2*q - 2*s, -18 = -2*q - 4*s. What is w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 136*l**4 - 6 + 260*l**4 - 65 - 7 - 75*l**4 wrt l?\nAnswer: 1284*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**2\/2 + 4*m - 8. Let l be p(5). Calculate the highest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 712*w**2.\nAnswer: -4*w**2*(w - 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 2. Let u(a) = -5*a + 3. Let b(x) = 6*f(x) + 4*u(x). Let r(q) = q. Let i = -4 - -3. Let o = -11 + 17. What is i*b(c) + o*r(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i**2 - 10*i**2 + 11*i**2 + (-2*i + 4*i - 3*i)*(2*i - 2*i - i) + i**2 - 3*i**2 + i**2 + (2*i - 5*i + i)*(1 + 2*i - 1).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 4*b**3\/3 - 122*b**2 - 2294*b + 1236. Find the first derivative of w(i) wrt i.\nAnswer: 8*i - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -16*j**3 - j**2 - j - 1. Suppose -3 = -2*k + 5*k. Let i be s(k). Let c be 460\/i + (-4)\/6. Solve 2*g = -5*y + 3 - c, 5*g - y = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 37, 1, 2, -1379 in decreasing order.\nAnswer: 37, 2, 1, -4, -1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(27)*-4.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 11*p**5\/60 + p**4\/8 + 2*p**3 - 6*p**2. Is v(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, u: 1, e: 1, o: 1}. Give prob of sequence ul.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hknnwxrrw. Give prob of sequence xrk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -161456017?\nAnswer: 161456012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.84 + 0.16. Let j = -5.3 + z. Which is the biggest value? (a) j (b) 3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 13*x**2 + 10704*x + 139135. Calculate o(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.3 - -30. Let m = v + -4. Let u = -3.3 - m. What is the second biggest value in u, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -58*f**3 - f**2 - f. Let b be m(-1). Let n = b - 28. What is the first derivative of -n - o**2 + 21 + o**2 + 3*o**3 wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4 - 2382096*c**3 - 548*c**2 - 35167*c wrt c.\nAnswer: 24*c - 14292576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -33*r**2 - 99*r + 5. Let b(u) = -7*u**2 - 25*u + 1. What is -9*b(j) + 2*o(j)?\nAnswer: -3*j**2 + 27*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34\/90717?\nAnswer: 34\/90717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.2 + 108.2. Let s = g - 90.0098. What is s rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6735 = 292*k + 157*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sce when three letters picked without replacement from {c: 6, s: 2, i: 4, g: 4, e: 1, k: 3}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 124 = -5*n. Suppose -3*y + d + n = y, -y - 5*d + 31 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5401639*i**5 - 2*i**4 - 23949343*i wrt i.\nAnswer: 108032780*i**3 - 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1679)\/345 + (-2)\/((-20)\/(-2)) and 19\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - 16*b - 6 + 17 - 4*b**2. What is the tens digit of x(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2008 and 722378?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.042 + -0.04312. What is k rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:42 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15138259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 4516 and 4515 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319 + 319.1. What is the smallest value in j, -37, 0.5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2\/5, -7, 0.5.\nAnswer: -7, 2\/13, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 11. Let z = f + 10.4. What is the second smallest value in z, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1972156*n**5\/3 - 43612108*n**4\/3 - 64759460*n**3 - 7252236*n**2 - 273816*n - 3456 = 0. Calculate n.\nAnswer: -16, -6, -3\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*m + 419*m = -401*m + 13488. Suppose x = 4*x - 24. Calculate the least common multiple of m and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/2 - 9*(-3)\/(-54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/206100 and 113\/9000?\nAnswer: 2061000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*3*sqrt(77))\/(sqrt(55)\/sqrt(5)*-2)*-5*-1*-6*-5.\nAnswer: 8100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a minute in milliseconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-1 - 2) - 0. What is the units digit of 2\/r - 324\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * -4215853.\nAnswer: -1306914.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b - 32*b + 127 - 79 - 24*b - 70. Let r be q(-2). What is the greatest common divisor of 256 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 45\/78581?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5\/j*j**(-2\/11)*j**(-5)\/j*j**(-2\/7) assuming j is positive.\nAnswer: j**(-190\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -766645 and 0.8.\nAnswer: -613316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390.5749ml to litres.\nAnswer: 0.3905749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-47)\/3)\/((-46)\/2208). What is the highest common divisor of 47 and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 32.2. Let i = 8 + -4. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2. Let z(p) = 10463011*p. Determine g(z(q)).\nAnswer: -109474599186121*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 0 - 15\/4*q**2 = 0. What is q?\nAnswer: -8\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p + 3*i - 483, 5*i = p - 138. Suppose 3*z = -w + p + 52, -4*w = 5*z - 280. Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10402*m**2. Let r(v) = -3*v. Determine a(r(o)).\nAnswer: -93618*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 3)*((0*b + 0*b + 2*b)*(28*b - 2 - 18*b - 2) + (1 + 1 - 6)*(b**2 - 3*b**2 - b**2)).\nAnswer: 160*b**2 - 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169\/12 - -43\/3. What is the third biggest value in 1\/3, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 8*m - 6. Let w(v) = -3*v - 21. Let s be w(-9). Let i be q(s). Let a be (-22 + i)*(1 - 2). What is the highest common divisor of 96 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -44 - (1 - (5 - 2))) + 25\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * 13.81174\nAnswer: 38.672872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 14) to base 16\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3677.\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21066 is divided by 20995?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2 + 3*o + 2. Let j be v(-2). Suppose j = r + 2*r - 15. Factor -12*x**4 - x**r + 4*x**5 - 5*x**5 - 2*x**5 + 16*x**2.\nAnswer: -4*x**2*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a + 13. List the prime factors of q(8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 times 0.3?\nAnswer: -73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 385336713 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1) - (-1 - 1). Let z(a) = -1 - 2*a - 271*a**2 + 271*a**2 + a**3. Let m be z(v). Solve 4*s = -g - m, -s - 4*g = 4*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g + 353*g**2 + 103*g**3 - 713*g**2 + 322*g**3 + 361*g**3 + 359*g**2 to t*g**2 + q*g + r*g**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -86. Suppose -14*k = -n*k - 78. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - n**3 - 5*n**2 - 3*n.\nAnswer: n*(n - 3)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*b - 3. Let k = -6 + 8. Put k, 4, b in ascending order.\nAnswer: b, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 47. Let l = -827\/15 + 55. Which is the nearest to 2? (a) -2 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 73 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:27 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284149, 3, -72 in descending order.\nAnswer: 3, -72, -284149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2305 divided by -1629.\nAnswer: -2305\/1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 + 4*s**3 - 53 + 2*s**3.\nAnswer: -s**3 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138933844 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3717648388 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13643)\/14*-2 + 7. Let p = -992 + h. What are the prime factors of p?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*r + 42*r - 555*r.\nAnswer: -304*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.1954 + 3.1756. Round p to 1 dp.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhuxhuxxuxxuh. Give prob of picking 4 x.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 73*b + 32. Suppose 84 = 3*q + 60. Let g be m(q). What is the common denominator of -15\/16 and (-42)\/g*(-172)\/6?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5417 and 31.\nAnswer: 167927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -13\/6, 4 in decreasing order.\nAnswer: 8, 4, 1, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2, 2*y + 59 = -5*r + 68 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-3)*(24\/6)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 251328, 502654, 753982, 1005312, 1256644?\n\"Answer: s**2 + 251323*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8738956 and 7321828.\nAnswer: 270907636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 7*n**2 + 17*n\/5.\nAnswer: n*(n - 17)*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 - 14104*b**2 + 2971420*b - 152117312 = 0. What is b?\nAnswer: -3728, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - m**3 - 3*m**3)*(11813 - 22697 + 11510).\nAnswer: -5008*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14631056*h**3 - 2*h - 20121482 wrt h.\nAnswer: 87786336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Suppose -2*c = -4*m + 20, -4*c - 10 = -2*m - p*m. Find the second derivative of -l**5 - l + c*l + 0*l**5 wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v. Suppose v*q - 75 = -5*q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -971 - -971.1. What is the closest to 1\/2 in w, 0.22, 1?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8 + 76\/368)*-2.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 37 - 20 - 39*x**2.\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -192789, -382528, -572267, -762006, -951745?\n\"Answer: -189739*c - 3050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46913, 93810, 140707, 187604?\nAnswer: 234501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-11 + 18 + 0)) + 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27140 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 3)\/(6\/(-15)). Let m(c) = 5*c**2 + 4 - 78*c**3 + 7*c**3 - 6*c + 5*c**3 + 65*c**3. Determine m(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.032 (c) 4 (d) -0.02 (e) 25 (f) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 + 5 = 0. Which is smaller: 18\/11 or w?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19266456 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176633025.\nAnswer: 3, 5, 19, 123953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Suppose 0*m + 3 = -79*m + 161. Solve g - 10 = -3*x, 3*x - m - 7 = a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = z + 4*z. Let r(j) = -j**2 + 23*j - 59. Let y be r(20). Let h(s) = z - 1 - 14*s**2 - y. Let v(m) = m. What is v(h(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - o + 0*o)*(5*o**3 + 0*o - 2*o + 11*o**3) as d*o**2 + n*o**4 + m*o + s + w*o**3 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4435013*u**3 + 475833*u**2 wrt u?\nAnswer: -26610078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*n = 20, -2*v = -6*v - 2*n + 24. Suppose s - 235 = -v*s. Let q(c) = -c**3 + 7*c**2 - 7*c + 1. Calculate the remainder when s is divided by q(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 22. Suppose -4*d - 3 = -d. Is d\/(m\/30*-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 9 - 33 = 0. Let q be 12\/14 + (-35)\/y + -5. Suppose -n = 2*n - 3. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.3. Let y = 13 - 8. Let g = y - 4.8. What is the nearest to g in w, 3\/8, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*2*-1)\/sqrt(3) + sqrt(56)\/((sqrt(64)*1 + sqrt(64))\/sqrt(8)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 7*m - 2. Let z(g) = -g**2 + 11*g + 16. Let y be z(12). Let v be b(y). Suppose 312 = -v*x + 8*x. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqkqkvqvm. Give prob of picking 4 q.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1832 and 2.\nAnswer: 3664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -282918 rounded to the nearest one thousand?\nAnswer: -283000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 + -5 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 51. Let v = -52 - -89. What is the remainder when v is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3, 0.5, 416\/41 in descending order.\nAnswer: 416\/41, 3, 0.5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by (2 + 1)\/(-2 - (-7)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.3142 litres to millilitres.\nAnswer: 763314.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 380 + 85 = 0. Let n = 86 - j. Put -2, n, 29 in descending order.\nAnswer: 29, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/7 - 4*a**2 - 50*a\/7 - 24\/7 = 0. Calculate a.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 134*x - 161*x + 324 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 8:38 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g**4\/7 + 954291*g**3\/7 + 11929614*g**2\/7 - 886197*g = 0. What is g?\nAnswer: -13, 0, 1\/2, 159061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 511\/8? (a) -0.5 (b) 0.6 (c) 12 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.95 + 17.95. What is the second biggest value in i, -4.39, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 1353\nAnswer: 98\/1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-8) - (-1)\/(-2). Suppose 0 = g*h + 2*h - 10. Let s(i) = i - 42*i**2 - i + 41*i**h. Let b(z) = -3*z**2. What is b(s(a))?\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7785.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*v + 5*q, -1 = 4*q + 3. Let t = 6.2 + -6. Which is the third smallest value? (a) -2\/7 (b) 1 (c) v (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -1 (b) -1\/15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 14042364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*k - 2*m + m, 3*k - 5*m + 1 = 0. Suppose 0 = -2*z + z - 3*c + 12, -2*c = 2*z - k. Solve 5*x - 5 = z, -x - 1 = 3*j + x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -574*h**5 + 589*h**2 + 5*h - 5. Let z(t) = 861*t**5 - 883*t**2 - 8*t + 8. Let n(s) = 8*y(s) + 5*z(s). Find the third derivative of n(k) wrt k.\nAnswer: -17220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1507 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/157 - 643\/785. Let f = -5 + 17\/3. Sort n, f, 1\/2 in decreasing order.\nAnswer: f, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/15 + -128\/15. Which is bigger: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhstothoht. What is prob of picking 1 h and 1 o?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 6a34?\nAnswer: 6a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1332 - -2?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 167654 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9cbe - -6?\nAnswer: 9cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -60. Let a(l) = 11 + l + 15 + 9 - s. Let f(b) = 1. Let k(i) = -2*a(i) + 3*f(i). Determine k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + (3 - 3) + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Suppose 332 = p*i + i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from rerrdreeee?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 2. Let r be p(-3). Let v = 3 - r. Solve 13 = -5*d - v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + h - 1, 637*o = 629*o - 5*h + 38 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 3037?\nAnswer: -8\/3037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11348701 - 7083701. Round y to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 680448 and 623744?\nAnswer: 7484928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 13989, -11 in decreasing order.\nAnswer: 13989, 42, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 12*r**2 - 20*r + 3. Determine f(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnhh when four letters picked without replacement from nnnhhnnnnnhnnhnhnn?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 58, 18888, 1 in descending order.\nAnswer: 18888, 58, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = 46*x - 7*x. Let g(j) = -j**2 - 5*j + 6. Let c be g(-6). Differentiate 0*w + 4 + 2*w + c*w + x*w with respect to w.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/660577113 and -4\/45.\nAnswer: 3302885565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = -17. Let d be (2 - j\/4) + (-9)\/12. Solve -d*x + 1 = -7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o + 4. Let r(i) = 105*i + 27. Let k(g) = 27*n(g) - 4*r(g). Let q(v) = -3*v. What is q(k(x))?\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:32 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000444403968 to seven dps.\nAnswer: -0.0000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 163 (base 13) to base 4\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/1080 + 2623\/500040. Is 0 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 21*p + 2. Let r be t(-14). Let q = r - 216. What is the common denominator of -73\/38 and (3 - q\/(-32))\/(6\/(-100))?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35570833 a multiple of 1493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10484, -10513, -10542, -10571, -10600, -10629?\n\"Answer: -29*h - 10455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -76?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 931 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861*j**2 - 1087*j**2 - 3*j - 453*j**2 + 3*j.\nAnswer: -2401*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -34*h**2 - h + 1. Calculate a(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.9 + -0.6.\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/55 (b) -3 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -170*g**2 + 4*g - 50. Let r be t(7). Is (r + -2)\/(-12 - -10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 998 = -45*y + 18593. Calculate the remainder when y is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(384)*1*3)\/(3*(sqrt(588) + (sqrt(588) - -2*sqrt(588))) - (1*sqrt(588)*-4 + sqrt(588))).\nAnswer: -4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:23 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.76, 1, -5, -0.5?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*d - 20 = -3*d, 5*d = -3*f + 12. What is the second derivative of g + g + g + 0*g**4 + g**f wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 191, 195, 201, 209, 219?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -52*t + 218. Let j be i(4). Suppose 4*c + 2*s - j = 0, 0 = 7*c - 10*c - 4*s + 10. Suppose 0*q**c + 1\/5*q**3 + 0*q + 0 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -5. Let k = b + -38. Let t = 42 - k. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 9*u - 24*u)*(-u**2 + 5*u**2 - 2*u**2 + (-2*u - 3 + 3)*(-5*u + 4*u + 3*u) + 3*u**2 + u**2 - 3*u**2 + 2*u**2 - 1 - 3*u**2 + 3).\nAnswer: 70*u**3 - 70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 6915443.\nAnswer: 228209619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(4\/(-72)). Suppose 0 = -3*y + 6 - g. Is -4 + 145 + 2 - y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 30 + 56*m**3 - 15.\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4154 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + (7 - 5) - (17 + 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*d**3 + 93*d**2 - 25*d - 2445971.\nAnswer: 78*d**2 + 186*d - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 3, y: 1, b: 1, r: 14}. Give prob of sequence rh.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*y**3 + 0*y - 5*y**4 - 11*y**3 - y - 2 - 5*y**3 in the form j*y + k*y**3 + f*y**4 + t*y**2 + d and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15848072 less than 15848065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 501636, 2006556, 4514758, 8026242, 12541008, 18059056, 24580386?\nAnswer: 32104998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5491.612um in kilometers?\nAnswer: 0.000005491612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1333 at least -14743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/9 (b) 3 (c) 0.2 (d) -1\/54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (0 + (sqrt(2548)*2)\/(sqrt(144)*2))*-5))**2.\nAnswer: -315*sqrt(13) + 16249\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -19*k**7\/420 + 11*k**4\/4 + k**3\/3 - k**2\/2 + 25*k. Let o(z) be the second derivative of d(z). Differentiate o(c) wrt c.\nAnswer: -114*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 114 = -n. List the prime factors of n.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3020 + -2989 - (44 + -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249161824 + -249161791.0000078. Let w = 39 - 6. Let j = w - x. What is j rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 6272.\nAnswer: 31360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 1. Let r(x) = 6*x + 2. Let f = -8 + 11. Suppose -3*o - 32 = 4*w - 115, 0 = -2*o - 4*w + 58. Suppose 8 = -o*s + 33*s. Give f*j(p) + s*r(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.9 - 5. Let u = 1 - i. Which is the second biggest value? (a) u (b) 3\/2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2610 + 0?\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 32 = 16*z. Solve -2*x = -4*p + 6, z*x - 3 = -x + 2*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*g**3 + 2\/15 - 2\/15*g**2 + 2\/15*g.\nAnswer: -2*(g - 1)*(g + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2462, 2474, 2500, 2546, 2618, 2722, 2864?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545925 and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69964282 to the nearest integer?\nAnswer: 8364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 359*u + 14. Let w be x(-13). Let f = w - -55895\/12. What is the common denominator of -53\/20 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082 minus 0.27?\nAnswer: 2081.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:02 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 648 - 561. Let c = k + 244. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2402040 or 38432637\/16?\nAnswer: 2402040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6997, -7072, -7191, -7354, -7561, -7812?\nAnswer: -8107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 857 and 340.982.\nAnswer: 292221.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, m: 3}. What is prob of picking 1 u and 3 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/33)\/t*t\/t**6)\/(t\/t**(13\/4))**(-31\/4) assuming t is positive.\nAnswer: t**(-12407\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2820686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14720004)\/14 - 600\/525. Round f to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(210\/10)*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*v + 29 - 27, v = 3*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*k + 15, -54*t = -52*t + 2*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(144)*-3)\/((-1*sqrt(300) - sqrt(300)) + sqrt(300)))**2.\nAnswer: -12*sqrt(3) + 733\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 8. Let b be n(-6). What is the derivative of 0*u**2 - 2*u**2 + 3*u**2 - 4*u**b + 2 wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 4*w**5\/5 - w**2 - 5. Find the second derivative of z(x) wrt x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/4*g + 1\/4*g**4 + 0 - 27\/4*g**3 + 51\/4*g**2.\nAnswer: g*(g - 25)*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyqnyiyyncincqcyicxn. What is prob of picking 1 x, 1 i, and 1 q?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 at least as big as 15984\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(12\/(-9))\/(-1). Let m be (-109 - t)*(-1)\/(-1). Let v = -72 - m. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*f + 43 = -352*f + 3*h, 164*f = 4*h - 676 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 11:22 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 458319 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -22712.\nAnswer: -22711.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 3*m + 0*m)*(-30*m - 58*m**2 + 30*m).\nAnswer: 348*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3089440 by -617888.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -b7?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -0.1632.\nAnswer: 0.3368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, 106, -153 in ascending order.\nAnswer: -153, -3, 1, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 2. Let o = 7 + -7. What is the third derivative of o*h**2 - q*h**6 + h**6 + h**2 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*l + 14 = 0, 4*l = 74*n - 77*n - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.76844 and -20.9.\nAnswer: -19.13156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 2*q. Suppose -a - q*a = -501000. Round a to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288494 and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-18)*(18\/4 - 0). Suppose -b*n + 65 = -1. Suppose -8*i + 3*i = -70. Calculate the lowest common multiple of n and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(180)*2 - sqrt(180)) + sqrt(180) + -4*sqrt(180)*-2)**2.\nAnswer: 120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 38*h + 187. Give p(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -22*h - 518. Let j be z(-25). Solve 43*x + j = 51*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17 and -264\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 394*c + 698. Calculate n(-2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:56 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -74*d**3 + 12*d**2 + 62*d - 24. Let s(a) = 30*a**3 - 5*a**2 - 25*a + 10. What is 5*i(n) + 12*s(n)?\nAnswer: -10*n**3 + 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -672, -4\/9, 0.7, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -73725, -304113, -688093, -1225665, -1916829?\n\"Answer: -76796*a**2 + 3071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -0.9343.\nAnswer: 1.0657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 19 = 23. Suppose 5*g - p = -2*p + 10, -3*p = -u*g + 27. Which is the closest to -0.1? (a) 0.4 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/9 + 8\/36. Let j be 46\/n - (-1)\/(-2). Solve 0 = 3*b - x - 3*x - 15, -5*b + j = -2*x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5688675 and 3179675.\nAnswer: 4825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v. Let g(f) = 7*f - 14. What is o(g(m))?\nAnswer: 35*m - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 4*k - 3. Let g be l(5). Let t = g + 0. Let s be (-80)\/(-10) + (-576)\/88 + (-144)\/(-264). Calculate the greatest common factor of s and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 59 + 59 + 2*c**2.\nAnswer: 2*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*r*t**3 + 4*a**2*t**3 - a*t**2 + r*t**3 - 35*r*t**2 wrt a.\nAnswer: 4*r*t**3 + 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3. Let m = -19302 - -19356. What is the third biggest value in 0.3, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 802735 and 65160?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(2\/5))\/w)**(-2\/35)\/(w\/(w\/w**(-7))*(w*w\/w**(-8))\/w))\/(w**(-2)*w*w**(-7)*(w**(2\/3)*w)**(-3)) assuming w is positive.\nAnswer: w**(1929\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.2. Let t = g - 0.3. Which is the nearest to -1? (a) 2\/5 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014734 rounded to six decimal places?\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102102 - -100?\nAnswer: -102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/99 and -19.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(77)*2)\/sqrt(11).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21140 divided by 5.\nAnswer: -4228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2\/3*m**3 - 1\/3*m**4 + 0*m - 2\/3*m**5 + 0 + 1\/3*m**2 = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 24*r + 2565. Calculate h(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-4))\/(1\/((-216)\/135))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28780 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w*z**2 - 5312784*w - 7273*z**3 - 441*z**2 wrt z.\nAnswer: -4*w*z - 21819*z**2 - 882*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*z - 40*u + 38*u, 3*z + 4*u - 27 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-124)*(-10)\/(-24)*4152\/865.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-97 - 9 - (-20 - (11 - 20) - -18))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51330.\nAnswer: 2, 3, 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 3. Suppose 0*n + 2*n = m. Suppose 0 = -z + 3 + 2. What is the remainder when z is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v**5 - 259471*v + 17*v**2 + 259471*v + (5*v - 4*v - 3*v)*(-v**4 - 4*v**2 + 4*v**2).\nAnswer: -7*v**5 + 17*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 68*f**2 - 2459*f + 160248. Calculate q(67).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1991 and 25204069.\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3591 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-31955)\/12100 - 18\/(-10) and 37\/121?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 155*o - 420.\nAnswer: -5*(o - 28)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-35)*1\/(4\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 2*y + 6. What is r(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.1. Suppose -104 + 88 = -4*u. Which is the nearest to q? (a) -0.2 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**8\/28 - 19*k**4\/12 - 8*k. Find the third derivative of y(p) wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -87*m + 2. Let f(a) = -a - 1. Let t(z) = -3*f(z) + o(z). Let d be t(-5). Let g = 982 - d. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:00 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -41*o**2. Let v(t) = 13597*t + 1. Calculate v(i(u)).\nAnswer: -557477*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -18*r**2 + 1. Determine i(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, v: 4, y: 11}. What is prob of picking 2 y and 1 o?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*c**3 - 3506*c**3 - 2027*c**3.\nAnswer: -6443*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g + 4*n + 284, 0 = 5*g - 3*n - 1505. Suppose 5*u - 799 - g = -3*h, -u + 225 = 5*h. Let r = u - 125. What are the prime factors of r?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765*q + 1 + 816*q + 1.\nAnswer: 51*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhwhshiiihhiihi. Give prob of picking 2 i, 1 w, and 1 s.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 2. Let u(r) = -2*r - 5. Let b be u(-5). Let l(c) be the third derivative of c**4\/4 + c**3\/2 + 227*c**2. Give b*l(y) - 7*a(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.016, -0.5, 2\/13, -0.2 in ascending order.\nAnswer: -0.5, -0.2, 0.016, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2196 = -720*d + 659*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 870?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 18 = -7. Suppose l = -3*j - 13. Let m(i) = i**3 + 7*i**2 + 2*i + 3. What is the units digit of m(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1105 - -2059. What are the prime factors of g?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*sqrt(5))**2 + -4.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - -5*sqrt(960))\/(-2*1*sqrt(12)) + sqrt(5) + 1 + sqrt(605) + sqrt(500) + 3)**2*2.\nAnswer: 184*sqrt(5) + 2709\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 3. Suppose y - 4 = 3*f - y, g = -f - 3*y. What are the prime factors of f\/9 + (-1152)\/(-81)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -802, -1589, -2374, -3157, -3938?\n\"Answer: w**2 - 790*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 13) to base 4\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13476955483 less than -1.88?\nAnswer: -13476955484.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/18)\/((-3)\/(-6)) + 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -61, -211, -471, -865, -1417?\nAnswer: -2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/6 + 26*f**3\/3 + 169*f**2 + 889*f. Find m such that p(m) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72794905*s**3 + 47698933*s wrt s?\nAnswer: -436769430*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*u + 2 - 3 - 13*u)*(8*u**3 + 19*u**3 + 15*u**3) as a*u**3 + t*u + m*u**4 + g + b*u**2 and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 3) in base 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b + 30. Suppose b*c - c = 60. Suppose 0 = -15*l + c*l. Solve l = 5*j + 3*w, -j - 3 - 9 = 3*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 58 - 245 = 0. Suppose -2*g + s = -3*x, -3*x - 97 = -g - 3*g. What are the prime factors of (-2)\/5 - 1029\/x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 6, 80, -3.126?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29932 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.08, 5, 2122, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20587 - 2057 = -629*f for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10602 + 211987\/20. Find the common denominator of v and -143\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15*k = -97 + 77. Suppose 13 = -5*b + a, b + 4 = -3*b + 4*a. Put b, -1, 27, k in decreasing order.\nAnswer: 27, -1, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/11 - -133\/132. Which is the second biggest value? (a) -0.4 (b) z (c) -3 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11*42)\/(-2))\/(253\/(22264\/(-264))).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/3 - 18259*s**2\/3 + 23071048*s\/3 - 7053469052\/3 = 0.\nAnswer: -19463, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 191, 280, 429, 638, 907?\n\"Answer: 30*m**2 - m + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/6)\/(3\/4). Suppose -2*z**n + 2 - 4*z**2 + 0*z**2 + 4*z**2 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2\/(-3))*6. Suppose 17 = 5*b - 2*l, 3*l + h + 14 = 5*b. Suppose b*c = -2*c. Which is bigger: c or -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -11*k**4\/6 - 23*k**3\/6 + 5*k**2 + 4*k. Let j be f(-10). What is the units digit of ((-36)\/(-14))\/((-84)\/j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0576336 to four decimal places.\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + sqrt(30)\/sqrt(6)*5 + sqrt(5) + -2 + 4.\nAnswer: 11 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjddjdyyjd. Give prob of sequence djdy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4 - -2) + (-4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m - 1. Let w(g) = 5*g**2 - 4*g - 6. Let a(u) = -4*u + 18. Let c be a(6). Calculate c*k(h) + w(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2847 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20464928 divided by 2558116\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (10 + -8) - -4) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*y - 115 - 142, -2*y + 214 = 3*h. Suppose -h = -4*z + 296. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4506973576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 6*s**2 + 2*s - 9. Let g be d(6). Solve w = g*u + 8, -4*u + 3*w = -w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2 + 178*l - 683. Determine p(-23).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -3*v**3 + 3*v**2 + 109*v + 21. Let g(o) be the first derivative of m(o). Differentiate g(f) with respect to f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 868, 658, 322, -134, -704, -1382, -2162, -3038?\nAnswer: -4004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q**2 - 74*q - 1012. Let z be i(-63). What is z rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262631 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**6\/120 - t**5\/12 + 5*t**4\/24 - 2*t**3\/3 + 12*t**2. Let y = -4 - 2. Let o be s(y). Solve 0 = -m + o - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 26 + (0 - 5 - -121 - -8 - -9)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14\/11 (b) 0.1 (c) 0.233 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9598568 + -1433.02.\nAnswer: -1441.9798568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6455*m + 5818*m + 75166 for m.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 6. Let m be x(6). Let w(g) = 6 - 2*g + m*g + 1. Give w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 731 divide 3194562106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j**4 + 0*j**3 + 0 - 13\/10*j**5 + 0*j + 37*j**2. Let g(t) = -2*t**2. Determine g(d(w)).\nAnswer: -12168*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*u - 61 + 219, -4*v - 4 = 0. List the prime factors of u.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*((1 + sqrt(147))*1 + 4)*5)**2*6.\nAnswer: 21000*sqrt(3) + 51600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 1. Let p be s(1). Let z(t) = -t**3 + 4*t**2 + 6*t - 4. Let x be z(5). Which is the nearest to p? (a) x (b) -0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.99 - 0.01. Let t = 29 + n. Put t, -0.2, -3 in decreasing order.\nAnswer: -0.2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 1:33 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35848920 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c**2 + 1. Let q(j) be the third derivative of -j**6\/60 - j**5\/60 - j**3\/6 - 42*j**2. What is -q(h) - t(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u**2. Let w(c) = -c**2 + 3*c + 3. Let s be w(4). Let d be q(s). Solve -10 = -d*t - 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*r = -x, -5*r = 0. Let c = 179 - 175. Suppose x = -h - c*h + 195. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1206497, -2412971, -3619425, -4825859, -6032273, -7238667, -8445041?\nAnswer: -9651395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 10*x - 152 = -108, -5*r + 4*x = 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*(-16*i + 0*i + 4*i) + 7*i - 8*i + 2*i to j + g*i and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, q: 7}. Give prob of picking 2 q.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.756295 take away 0.32625?\nAnswer: -15.082545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13590 - -51?\nAnswer: 13611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -74*q + 21 - 2 + 72*q. Let n(p) = p + 14. Let x be n(-4). Let j be u(x). Put j, 0, -5 in increasing order.\nAnswer: -5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 13*x + 5. Suppose 4 = 2*y - 12. What is the smallest common multiple of y and c(-13)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-23 + 30 + -19)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/54*((-88)\/56 + 1). What is the second smallest value in 4\/9, 47, u?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(254\/(-126) + 2). Suppose -39*d - 12 = -43*d. What is the remainder when m\/d + 1 + -3 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 5524*l**2 - 5536*l + 11056.\nAnswer: 4*(l - 1382)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 941\/2 and 470 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0\/51)\/((12\/(-30))\/((-6)\/75))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 500\/(((-1)\/(-5))\/(-1)). What is u rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 943388559 to the nearest integer?\nAnswer: 30715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 + 6*f + 12. Is r(-9) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**5 + 324*a**4 + 2967*a**3 + 2646*a**2 = 0.\nAnswer: -98, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-256)\/(-4608) + (-361)\/18 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + x - 149 = 7*m, -160 = 5*m + 4*x. What are the prime factors of (-20)\/3*m\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from httjjththjhthjttjjh.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19139 times -163\nAnswer: 3119657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 563282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 10335.\nAnswer: 144690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38718931?\nAnswer: 38718931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 400 + -399.9. Sort -1, j, 2.\nAnswer: -1, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -585251900975\/77138386 - 18\/2966861. Let x = i - -7588. Find the common denominator of 93\/4 and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64368.557023 + -0.09\nAnswer: 64368.467023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2\/3 + 74*t\/3 + 680\/3 = 0.\nAnswer: -20, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*f + 2*k + 5554, 4*f - k = 5539. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -4*d - 4, 2 = -k + 7*d + 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/18 + (-312)\/468 and -44\/5895.\nAnswer: 5895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596\/10 + 39\/(-65)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6047 is divided by 2014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 19 - 312)*((-4 - 2 + 4)*(-2*v - 4*v + 5*v) + 2*v - v + v).\nAnswer: -1452*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 19*t. Suppose -3*x + t*i + 5*i + 219 = 0, 2*i = 0. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 110\/(-187)*36\/8. Let z = 309\/136 + r. What is the biggest value in 3.3, z, -4\/9, 3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -14. Suppose 25*s = -1561 - 8839. Let o = s + 506. Calculate the greatest common factor of o and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313 + -10\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aawxaaaxwawxa. Give prob of picking 1 a and 3 w.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 994, 1484, 1976, 2470, 2966?\nAnswer: 3464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + -4 - (0 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/(-28)*17\/(-3)*494\/(-247)).\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28209*j**3 - 14108*j**3 - 14104*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2174, 4367, 6556, 8741, 10922, 13099?\nAnswer: 15272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70, -286, -702, -1366, -2326, -3630, -5326, -7462?\n\"Answer: -8*y**3 - 52*y**2 - 4*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1)\/10 + -133*(-178)\/177555.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -3218828?\nAnswer: 5\/804707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2692088 is divided by 538415.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5015693)\/(-2) + 2\/4. Let v = 9159863 - 4152016. Let w = v - z. Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**21\/(l**(-3)*l**3))\/((l**(-6)\/l)\/(l\/((l*(l*l*(l\/l**(1\/5))\/l)\/l)\/l*l)*l))**24 assuming l is positive.\nAnswer: l**(969\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 2, -6, 0, 5, 463 in descending order.\nAnswer: 463, 5, 3, 2, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 5*q, 5*v + 5*q - 15 = 0. Let a(x) = -2*x**2 + 10*x + 2. Let d be a(v). Solve 5*z + 3*c - 10 = 0, z - 5*z + d*c = 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -46\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39893, -39645, -39409, -39185?\n\"Answer: -6*o**2 + 266*o - 40153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 13712*t - 1540*t - 30)*(-1 + 1 + 2*t).\nAnswer: -30504*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1554*v**2 + 1554*v**2 + 11 + v - 6*v**4 to the form q*v**4 + z*v**2 + h*v**3 + w*v + s and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let f = 1 - t. Let y be ((-43125)\/9)\/(f\/480). Round y to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 - 32*b - 145. Does 30 divide o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4 + 3 + 2*u - 3. Let w(l) = -4 + l + 3 - 4 + l. Give 4*i(f) - 3*w(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69434263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 49114805 and -1?\nAnswer: 49114806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 15.6. Let h = -6 - o. Let g be 45\/(-130) - 3\/(-6). What is the smallest value in -2\/11, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 2*h**3 + 19 + 0.\nAnswer: -6*h**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -29. Let r = s + 15. Suppose 3*q - 2*j + 0 - 1 = 0, 0 = -q + j - 1. Solve r*a + 2*t = 2, 3*a - 4*t - 4 = -q*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3576 + 42*a - 84*a + 37*a**2 + 3578 as m*a + n + d*a**2 and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 29 + (9 - (16 + 11)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -z + 5*z + 6, -2*z + 3*p = 5. Let o be z + (-33)\/(-9) - 2. Suppose 2\/3 + 2*y**2 + o*y**3 + 2*y = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853996 is divided by 427.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + u + 6. Let t(m) = 155*m - 2. Let l(q) = -362*q + 5. Let r(y) = 3*l(y) + 7*t(y). Calculate g(x) - r(x).\nAnswer: -2*x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3381107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 20 = 2*c, -2*t + c = 8 - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 24. Which is greater: 21\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6627687 divided by 3531?\nAnswer: -1877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = 38*y + 60*y + 1296 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, 11, 47, 103, 185, 299, 451, 647?\n\"Answer: k**3 + k**2 + 12*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -13*y - 9. Let v be (1 + y)\/((-38)\/(-8493)). Suppose 0 = n + 2*n - v. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 31, 11576, 1, -3 in increasing order.\nAnswer: -3, 1, 5, 31, 11576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -335607, -335605, -335603, -335601, -335599?\n\"Answer: 2*k - 335609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a factor of 815595962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n - n + (-2*n + n + 3*n)*(-1 + 2*n + 1) + 2893*n**2 + 5*n - 2894*n**2 + 5*n.\nAnswer: 2*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/4 - (-53)\/(-9) and 143\/5148*78\/18.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c - 1. Let v(l) = -2*l**2 - 6*l - 31. Calculate 3*d(x) + v(x).\nAnswer: x**2 - 3*x - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 615?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 636767 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 3 - 2*k + 3*k + (35 - 3 + 3)*(-k + 2*k + k) + (2 + 4 - 4)*(4 - 4 - k).\nAnswer: 67*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(0 + 0 + g**2) + (-4 + 2 + 1)*(14*g**2 - 7*g**2 + 17*g**2).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1693 (b) -1.6 (c) -1\/4 (d) 5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - 1933?\nAnswer: -1932.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 3 = 9*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*i - 149*i - 58*i - 178*i - 54*i.\nAnswer: -168*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1166 + 1169. Let y(j) = 5*j - 2. What is y(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -753 + -3?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/8 + 19*p**5\/20 - 11*p**4\/8 - 3*p**3\/2 + 12*p**2. Factor z(w).\nAnswer: -3*(w - 3)*(w - 1)*(5*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219*a**2*y**2 + 821*a**2*y - a**2 - 3*a + y**2 wrt y?\nAnswer: 438*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -61. Let j be (20\/(-6))\/((-6)\/t). Solve 4*y + 6 = 5*r, 0*y + 3*r - j = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaaaaaaaaa. Give prob of picking 2 a.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/3 - 8\/6. Let y = -12107\/4 + 3027. What is the nearest to y in -1\/5, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u - 2*u)*(-19 - 17 + 27).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1083231587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:56 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 1 - (-278 - -285)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1751 - -4844. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**10\/168 + c**6\/72 + 9*c**3\/2 - 24*c**2. Let m(u) be the first derivative of h(u). Find the third derivative of m(s) wrt s.\nAnswer: 3600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4005 = -1903*o - 3673 - 5849 + 206 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 996 divide 163832040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 862235495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/40 (b) 0.3 (c) 1\/4 (d) -41\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 797273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/20 + 419*t**4\/2 + 351122*t**3 - 2672*t**2. Factor l(w).\nAnswer: 3*(w + 838)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 + -16.9. Let i = 101 + -116. Let y = x - i. Which is the second biggest value? (a) 0 (b) y (c) -3\/4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 5*q**2 - 5*q + 1. Let r be l(-4). Let h(b) = 7*b**2. Let m be h(1). Let n be m + -2 + -3 + 0. Put n, 1, r in increasing order.\nAnswer: 1, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -14*h**3 - 7*h**2 + 7*h - 6. Let k(m) = -5*m**3 - 2*m**2 + 2*m - 2. Let t(u) = -2*g(u) + 7*k(u). Differentiate t(d) wrt d.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 512 and -0.1613.\nAnswer: -82.5856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c + 143 + 123 = 74*c. Let b(r) be the first derivative of 25\/2*r**2 - c + 5\/3*r**3 + 20*r. Factor b(t).\nAnswer: 5*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**3)\/x*x)\/((x\/(x*x\/x**(2\/7))*x*x)\/x)*x**0*(x\/((x\/x**3)\/x*x))\/x*x)**(-16\/3) assuming x is positive.\nAnswer: x**(-288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(57*g - 29*g**2 - 11*g**2 - 58*g).\nAnswer: -120*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + 56 - (5 + -1)*-2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u + u - 4*u)*(-2 - 1 + 2 + ((-2 - 5 + 2)*(6 - 3 - 2) - 15 - 8 - 7 + (-2 + 3 - 2)*(-16 + 32 + 1))*(2 + 3 - 4)*(1 - 1 + 1)) as d + h*u and give h.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, -4, 15022, 2, 4.\nAnswer: -16, -4, 2, 4, 5, 15022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30042, 2\/7, 3, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q + 115. Determine i(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 545488437 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Suppose 2*r - 73 - 97 = -p, -5*r - 521 = -3*p. Let j(a) = 172 - 5*a**2 - p. Give j(o(m)).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o - 57*o**2 - 11*o - 21*o.\nAnswer: -57*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 162*n**2 - 163*n.\nAnswer: n*(n - 1)*(n + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 2*k**2 - 42317*k + 27 + 42319*k - 66*k**3 to the form c*k**3 + f*k + l*k**2 + d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w - 24. Let x(u) = 2*u + 25. Give -3*a(g) - 4*x(g).\nAnswer: 4*g - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8655636.\nAnswer: 2, 3, 11, 23, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9390.65 grams?\nAnswer: 9390650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n - 13 + 13)*(3 - 1 - 3)*(-9*n - 49*n - 4*n)*(-4*n + 4*n - n) as b + t*n**3 + o*n**2 + g*n and give t.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-33)*c*c**(-3\/23)*c**18\/c**(2\/101))**(-3\/5) assuming c is positive.\nAnswer: c**(98613\/11615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650 (base 7) to base 4.\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.32496 less than 3.8?\nAnswer: -29.52496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 882 by -6.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 29*u + 57400000. What is u rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4, 5*m = y - 2*y + 24. Suppose 28 = 5*t + 3*h, m*h = 3*t - 29 - 15. Solve 3*r + r - t = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*y + 72, 4*y - 90 = -5*t + 187 - 97 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288 - (-5 + (-36)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250491 is divided by 1228.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**2 + 81*u - 81*u to z*u + o*u**2 + x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 2*h**2 + 2*h + 2. Suppose -4*f = -f - 6. Let d(y) = 0 - 3*y**2 - 1 + 0 + 4*y**f - y. Determine 2*d(a) + u(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 168023938531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (169\/(-169)*(64\/(-14))\/(-8))\/(82\/7).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/27)\/((-112)\/(-84))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52654799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3469*i**2 + i - i + 6942*i**2 - 3475*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let s be (1 - x)\/(14\/35). Suppose -22 = -4*b + 2*u, 5*u + 2 = -2*b - 5. Put -1, s, b in decreasing order.\nAnswer: b, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 9:39 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vss when three letters picked without replacement from {t: 2, b: 1, v: 1, h: 3, s: 10}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t - 92*t + 12*t + 9*t + 12*t.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.7 - -3.7. Which is bigger: z or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvkhvzzhvvkzzvkhvv. What is prob of picking 1 k and 2 z?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0 (c) 4 (d) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 692168, 692656, 693146, 693638, 694132?\nAnswer: 694628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190\/(-40) - 3\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 29 = -3*v - 1, -2*v - 22 = 2*y. Let b(n) = n**2 + 8*n - 4. Give b(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -104, 4 in descending order.\nAnswer: 30, 4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8ae57 - 4a4?\nAnswer: 8a9b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.1 + 14.1. Let u = -0.1 + 0.1. Which is the closest to 1? (a) y (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**8\/2352 + c**7\/490 - c**6\/840 - c**5\/140 + c**4\/84 + 5*c**2. Determine i, given that h(i) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 5, a: 2, s: 1, n: 5, q: 1}. Give prob of sequence smww.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84519 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 822479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203142 divided by -349.\nAnswer: -203142\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/12 - 13*l**3\/6 - 51*l**2\/2 + 3455*l. Determine t(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -28, 141, 3\/4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 2 - (41 - -11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56024, 56095, 56180, 56285, 56416?\nAnswer: 56579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 264 + 108. Let f be i\/(-22) + (-10)\/55. Let h(l) = 115*l**2 - 9*l - 1. Is h(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30997947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/3)*n)**39 assuming n is positive.\nAnswer: n**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63\/4 - 31\/2. What is the third biggest value in a, 0.2, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12002 (base 3) to base 4\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -15. Let f be ((-42)\/(-9))\/((-2)\/(-45)). What is the highest common divisor of f and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 0.4. Let x be 4\/(-9) - 54\/(-243). What is the fourth biggest value in -2, x, j, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1063 * -10.\nAnswer: -31.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 15*r + 41. Let v be d(-12). Solve -3*b - f - 5 = -5*b, -v*b + 2*f + 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226438 + 226489. Let g = -278 + 550. Calculate the greatest common divisor of g and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3\/3 + p**2 - 2*p + 10. Is k(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Suppose 2 = 5*y - 28. Let l(x) = 4*x - 7. Let m(a) = a**2 + 4*a + 2. Let h be m(-3). Determine h*l(p) + y*z(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.157 - 0.018. Round z to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 136 and 138 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*q + 615*q = 157*q + 122*q - 41922 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -38*v + 164. Determine x(0).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*w = 3*l - 37 + 4, 8258*l - 8256*l + 7*w = -69 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.65369 and 17.\nAnswer: -11.11273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -340071884, -680143766, -1020215648?\n\"Answer: -340071882*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59448167 and 578.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 6*p + 5. Let z be b(7). Let d be 9\/6 - z\/4. Let o(i) = -i**3 + 4*i**2 - 3*i + 1. Give o(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 32976963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/269, -0.1, 0, -0.3, -1 in ascending order.\nAnswer: -1, -0.3, -0.1, -2\/269, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 180*b**2 + 375*b + 190.\nAnswer: -5*(b - 38)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1344*j - 702 - 656*j - 687*j - 20 in the form n*j + c and give c.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22043 and 987.\nAnswer: 66129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-644)\/138 + 3949\/33?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171539 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: Is 40771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59820 and 1236280.\nAnswer: 3708840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/7 - 546*h**3 + 281884*h**2\/7 + 872376*h\/7 + 586672\/7 = 0?\nAnswer: -1982, -2, -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11477 (base 9) in base 16?\nAnswer: 1e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**7\/5 + 23*o**3\/6 - 25*o**2. Find the first derivative of u(k) wrt k.\nAnswer: -168*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y - 2. Let n = 151 + -81. Let x = n - 72. Calculate w(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-213)\/(-9) - (-2125)\/(-1275)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 - 143. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -3*d - 13, 2*b = 38285*d - 38286*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 1 + 1. Let k(i) be the third derivative of -i**3\/6 - 12489*i**2 + 3*i. Let s(j) = 3*j + 6. Determine n*s(m) - 6*k(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 3*y - 8152. Find the first derivative of -31 - 9*u**2 - 4*u**2 - 1019*u + y*u wrt u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 - 20*i**2 + 15*i. Let p(d) = 7*d**3 - 40*d**2 + 28*d + 3. Let x(y) = -5*m(y) + 2*p(y). Calculate x(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 122204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 425a5b9 - 5?\nAnswer: 425a5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -625 (base 13) to base 14\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-582416)\/(-623) + 8\/7 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 6*p**2 + 2*p + 9. Determine n(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Let g(r) = x*r**2 - 10 - r**2 - r**2. Let t(b) be the second derivative of -b**4\/12 - 1508*b. What is g(t(s))?\nAnswer: 2*s**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -57*i + 54. What are the prime factors of y(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -0.2, -0.07, -3, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 328.411 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 606 - 548. Solve -8 = -10*c - y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:39 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 8*i**3 + 24 - 2*i**2 + 2*i**2 to y*i + u + l*i**2 + n*i**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5646 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*q**2 - 4626*c*q*x**3 - 3*c*q*x + 1005*c*q + 12*q**2*x**3 wrt x?\nAnswer: -27756*c*q*x + 72*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*z + 144*z + 162*z = -116*z + 546 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85 and 20.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6866*z**3 - 5*z - 6866*z**3 - 8*z**4 - 2*z**4 + 15*z**6 - 21*z**2 - 5*z**5 + 7 wrt z?\nAnswer: 1800*z**3 - 300*z**2 - 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let d(q) = -22*q**3 - 4*q + 6. Let k(z) = -d(z) + 4*f(z). What is the derivative of k(s) wrt s?\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/90 and 1\/(-220)*340\/(-80) - 20\/110.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -58, 348, -1.1, 2.3?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u. Let r(s) be the third derivative of -205*s**4\/24 + s**2 - 6*s. What is w(r(y))?\nAnswer: -615*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f**2 + 3*f + 5. Suppose -x - x = -10, 3*x - 15 = -3*v. Let w be a(v). Solve 0*n = -w*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3025350 and -164.\nAnswer: -496157400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(22)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 4, z: 1, l: 3, w: 1, h: 5}. Give prob of sequence hh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/9 - 10*i**3\/3 + 12*i**2 + 24*i - 144 = 0?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1 + 4*b + 2*b + 1. Let s be z(9). Let f = s + -6. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/9 + 29\/((-6090)\/(-392)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0.0068\nAnswer: -1.0068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121432225*f**2 + 65*f - 28960.\nAnswer: 242864450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4\/9 + 44*a**3\/3 + 476*a**2\/3 + 5356*a\/9 + 1352\/3 = 0.\nAnswer: -13, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3720328 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*z + 39*z = -598 + 15 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264000 and 1024.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1, 0.5, 13\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 130\/22 - (-76)\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 2\/3*c**5 + 7\/6*c**4 + 0*c**2 + 0*c - 1 + 4\/9*c**3. Factor k(a).\nAnswer: 2*a**2*(a + 1)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 42 = -2*d, 4919*d + 3 = -2*i + 4920*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 589451663238 - -5.\nAnswer: 589451663243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a millennium in decades?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -2\/11 (b) -4576\/25 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*u**2 + 15*u**2 + 4*u**3 - 14*u**3 - 2*u**4 wrt u?\nAnswer: -48*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuttfwffft. What is prob of sequence tw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 1. Suppose -19 = 3*h - 1. Let d be -1 - (3 - 1) - h. What are the prime factors of m(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5010 + 5249. Calculate the remainder when 713 is divided by o.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/((-50)\/(-15) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 17117.\nAnswer: -7\/17117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.03421111?\nAnswer: 0.10263333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63488267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbeeb. Give prob of sequence ebbe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3372 - 3748.16. Let l = u + -0.84. Let s = 377.00229 + l. Round s to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 37. Let d(m) = -m - 16. Let h(t) = -7*d(t) - 3*v(t). Let z(i) = -9 + 19 - 5 - 6 - 5 - 6*i. Calculate -3*h(q) - z(q).\nAnswer: 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2173 + -2172.5. Put -4, h, 0.12 in descending order.\nAnswer: h, 0.12, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/((-22)\/33). Suppose 0*p = w + 2*p + 2, -4*w - 3*p = -u. Solve 7*y + 15 = w*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 + 5*d**2 + 0*d**2 - 12*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5364 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 3*g + 28. Let r = -5440 + 5436. What is s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7 + -0.7. Let c = v + 0. Let q be (-2 - (3 + -3))\/6. Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 + 3*k - 5. Let d be p(-6). Suppose 5*n - 75 = -0*n - 4*q, -d = -4*n - q. What is the lowest common multiple of n and 8\/(-3)*(-6)\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 - 11*m**2 - 4*m + 7. Let i(n) = -n**3 + 5*n**2 + 2*n - 3. Suppose -7*y + y - 30 = 0. Give y*i(z) - 2*k(z).\nAnswer: -z**3 - 3*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29792656*l**4 - 253799*l + 19 wrt l?\nAnswer: -357511872*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82611886 to the power of 1\/2, to the nearest integer?\nAnswer: 9089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-8)\/(-6) - 1). Let b(s) = -7*s + 10. Let c(v) = -6*v + 4. Let j(n) = -2*b(n) + 3*c(n). Let y(z) = 3*z + 7. What is u*j(k) + 7*y(k)?\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -16\/9, 4658, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 117*b**3 - b - 5. Is v(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.998 take away -176191?\nAnswer: 176195.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1385*c + 2029*c - 201520 - 34046 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1180 * -0.2.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {m: 1, u: 1, c: 9, q: 4, w: 2}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-25)))\/l**24 assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*i**2 - i - 2\/3.\nAnswer: -(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*d - 49 = -3*f, 5*d - 35 = -2*f. Suppose 24*s - 209 = 319. Let m = s - f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**4 + 3*g**4 - 7*g**4)*(3 + 0 - 2) + 374*g**2 - 141*g**2 - g**4 - 194*g**2 to o*g + q*g**3 + z*g**4 + h + s*g**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 14 = -37*l + 30*l, 2*c = -l + 47 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, v: 2, y: 5, k: 5, f: 1, o: 3}. Give prob of picking 1 v, 2 n, and 1 y.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 z when three letters picked without replacement from vgvowgwgzaagaa.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = 4*u. Suppose -95*y = -18*y - 154. What is the units digit of 62 + (-6)\/(u\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.28 and -0.08676?\nAnswer: -0.0242928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 6, i: 2, v: 1, f: 2}. What is prob of sequence ve?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from jyiijjjjytjtyfjjfyo?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgsg when four letters picked without replacement from ussgsggs.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/7)\/(42\/294).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48395594666307988 + -48395587811820954.0000201. Let y = -6854487312 + i. Let l = 278 + y. What is l rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from gngnngnggxx?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 166\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 2*c**2 - 3*c - 2. Let v be g(-2). Let h be (-57)\/(-2) + 1\/(-2). Suppose -3*p + 4*p = h. Solve 3 + 9 = -z + v*r, 4*r = 5*z + p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85*u**4 - 341?\nAnswer: 340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 271*c + 2*c**3 - 271*c + 2*c**2 as r*c**2 + s*c + b + j*c**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4409\/3 or 1?\nAnswer: 4409\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -156 and -6.\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5942, -5955, -5976, -6005, -6042, -6087, -6140?\nAnswer: -6201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 2*r**3 - r + (-1 + 2*r + 1)*(r**2 + r**2 + 0*r**2) - 407 - 3*r**3 + 0*r**3 + 404.\nAnswer: -r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x. Let c(q) = x*q + q + q - q + 1. Suppose 5*a + 3*p - 1 + 10 = 0, 0 = -2*p - 6. Determine c(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502229513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102157 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4231430 + -3?\nAnswer: 4231424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4796666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/sqrt(2))\/sqrt(4))\/(sqrt(98) - 2*sqrt(98)).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50013457?\nAnswer: 13, 347, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 divided by -11.\nAnswer: 256\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/6 - 1374*q + 2831814 = 0.\nAnswer: 4122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 - 26*t**3 - 3*t + 55*t**3 - 38*t**3 + 3*t**4 to the form d*t**2 + q*t + a + z*t**4 + y*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 - 20*x - 41. Let c be q(-2). Let s(n) = -n**2 - n - 1. Let t(v) = 12*v**2 + 3*v + 3. Calculate c*t(k) - 3*s(k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1817?\nAnswer: -4\/1817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5 + 25. Let n = -17 + b. Let h = -0.22 + 0.22. What is the smallest value in 0.5, h, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 30*c = -24*c - 32 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q**3 + 11*q**2 - 20*q + 2. Let v(s) = -54*s**3 + 52*s**2 - 101*s + 11. Determine -11*a(y) + 2*v(y).\nAnswer: 2*y**3 - 17*y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 12 (c) -5 (d) -2\/13 (e) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10479527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1041107 + 211?\nAnswer: 1041318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 17. Let f be a(7). Calculate the highest common divisor of f and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/17 + 2888*d**2\/17 - 11510*d\/17 - 14400\/17 = 0.\nAnswer: -1, 5, 1440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8030 and 1804.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 + 462.3. What is r rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 4*d**2 - d + 4. Let y(l) = -l**3 + 3*l**2 + l - 4. Let x(j) = 2*t(j) + 3*y(j). Is x(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*v - 101*v = -17415 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1232\/280*(-30)\/(-72)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6)**(-2\/137))**30 assuming y is positive.\nAnswer: y**(-360\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-60 + 27 + -17 + 4)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 7*s**4 - 976*s**3 + 34710*s**2 - 48024*s + 14283 = 0?\nAnswer: 3\/7, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5609000 rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/30*-3)\/((-33666)\/(-465)). Sort -0.3, 0.1, b in ascending order.\nAnswer: -0.3, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -395 + 392. What is the closest to -1 in -4, -2, 3\/7, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 234419, 232279, 228719, 223745, 217363, 209579, 200399?\n\"Answer: h**3 - 716*h**2 + h + 235133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0.067 (c) -37\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 10*n**2 + 8*n - 9. Let u be h(-9). Let s be (-1 - -6) + (-4)\/((-2)\/(-30)*10). Put u, s, -8 in descending order.\nAnswer: u, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(110))\/sqrt(10) + 4.\nAnswer: 4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (185 + 0)*((-23)\/5 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72416674?\nAnswer: 2, 11, 3291667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 + 4. Which is the nearest to -2? (a) 1\/5 (b) -1\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 3\/8, -38, -4, -3299, 0.01?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 28) + 21 + -2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 298*u - 7 - u**2 - 298*u. Determine d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 + 6 = 0, -5*v + 65 = y. Let n = v + -7. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/109, 2\/9, -1.86?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 473*b**2 - 54*b**2 - 67*b**2 to y*b + p + n*b**2 and give n.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 3, -0.973?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Factor -2*r**u + 47*r - 4*r**2 - 45*r + 3*r**4 + r**4.\nAnswer: -2*r*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1619 (base 14) to base 8.\nAnswer: 7547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v + 61*v + 57*v + 67*v - 221*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**3 + 28*k**3 - 111*k**3 + 25*k**3 + 27*k**3 + 33*k**3 - 39*k**3.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*t - 12 = 0, -3*w + 10 = -4*t - 6. Let z be (8\/(-6)*-6)\/((-26)\/(-13)). Solve w*p = -p + z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166744 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421649.\nAnswer: 557, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27707?\nAnswer: 103, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5)*(-15)\/66\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - 0) + -1 + 3 + (-126 - 108 - -236).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 412241082 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 - 6*s + 7. Calculate g(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 404, 619, 850, 1103, 1384?\nAnswer: 1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 19 + 1, -3*c - 18 = -3*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 16, 18, 20, 22?\n\"Answer: 2*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -205\/323 - -2\/19. Is -2 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19071, 152287, 513837, 1217889, 2378611, 4110171, 6526737, 9742477?\nAnswer: 13871559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from wqtjwqqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16093 and 4788.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 v, and 1 n when four letters picked without replacement from vnnvvvrnnrv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 1922\/79249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062523018 rounded to five dps?\nAnswer: 0.06252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 0*d - 48 = -15*d. Let q(w) be the second derivative of 2\/39*w**3 + 0 - 1\/78*w**4 + 11*w - 1\/13*w**d. Factor q(c).\nAnswer: -2*(c - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -0.01, 3\/2, 0.08, -0.1, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 11*g = 6. Suppose 0 = -s - 5*i + 143, -g*i + 3 = -0*i. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -32. Let v = 0.07 - -0.53. Let r = -0.2 + v. What is the second biggest value in -4, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*z + a, 35516407*a = -4*z + 35516402*a - 24 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 19. Let t(o) = -6*o**2 + 24*o + 10. Let z be t(4). What is s(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:17 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*q + 41 + 63, u = 4*q + 28. Let m = u - 15. Suppose 74 = 2*w + 3*w + 2*y, 0 = -w + 5*y + 31. Solve -w = 4*t, m*h + 2 - 6 = t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2422.3718 rounded to the nearest integer?\nAnswer: -2422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g + 2. Let s = 208 - 194. Calculate the remainder when p(2) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231 + -486 - (4 - 158)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 48245*v - 144780.\nAnswer: 5*(v - 3)*(v + 9652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x = -36 + 108 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 792*y - 2 - 793*y - 1. Let l(r) = 1. Let c be (-6 + 5)*(1 - -2). Give c*l(q) - w(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + o**2 + 11*o + 3. What is d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n*((n\/n**(-22)*n)\/n)\/n)*n*n*n**25*n**16\/(n\/(n*n\/n**(16\/9)*n*n)) assuming n is positive.\nAnswer: n**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/2 + (-5)\/5. Let p(f) = f + 8. Let b be p(o). Suppose -10*c = 15*c - 375. Solve 0 = 3*i + 3*u + c, b*i + 5*u = 5*i - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -402 + 1105 + 147*a**3 - 66*a**3 - 81*a**3 + 505*a**4 wrt a?\nAnswer: 2020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j - 12*j + 2104 + 3968. What is the lowest common multiple of j and 308?\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159058 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - v**2 + 0*v**2 - 27*v**3 + 30*v**3 to the form a*v**3 + j + u*v**2 + f*v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132750 and 531?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331891.\nAnswer: 11, 121081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999311033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 7*j**2 - 25*j - 43. Calculate the remainder when 394 is divided by f(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, -388, -1681, -4290, -8653, -15208, -24393?\n\"Answer: -73*i**3 - i**2 + 99*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.257 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -5\/2, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.478 + -29.478. What is the nearest to 42 in g, -0.1, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 - (-32)\/12. Suppose c = 3*h, -h - h + 14 = 4*a. What is the third derivative of a*i**5 + 2*i**5 + 0*i**5 + 10*i**2 - 11*i**2 wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00711697604 to six decimal places.\nAnswer: 0.007117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 55*g + 0 + 61*g - 134*g + 2*g**2 - 2*g**4 as v*g**3 + z*g**2 + y*g**4 + i*g + f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72122 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 12:00 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 35, 38?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -106796\nAnswer: 106763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3008b (base 14) to base 10.\nAnswer: 115371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*n**4 - 19*n**2 - 597*n.\nAnswer: 192*n**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-875)\/(-525)*(-18)\/(-930)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 42*j**2 - 10*j - 1242. Let t(r) = -43*r**2 + 5*r + 1243. Let o(m) = 6*t(m) + 5*u(m). Find the first derivative of o(k) wrt k.\nAnswer: -96*k - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2 + 5 - 1 + 28*f. Is h(1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 3*u**2 + 3*u + 0 - 1. Let a be j(-4). Solve 0 = g - 2 + a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -155*f**3 + 110*f**2 + 65*f - 155. Let x(j) = -7*j**3 + 5*j**2 + 3*j - 7. Let n(p) = 2*w(p) - 45*x(p). Factor n(t).\nAnswer: 5*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1247*g = 3081*g - 12984. Factor -16\/3*w**g + 41\/3*w**2 + 0 + 1\/3*w**4 - 26\/3*w.\nAnswer: w*(w - 13)*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -877 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**7\/16380 + a**6\/2340 + 17*a**4\/24 + 19*a**2. Let l(o) be the second derivative of v(o). Let l(h) = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16687 + -16691. Let o = -13 + 10. Which is the biggest value? (a) o (b) -0.12 (c) -1\/3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*u**4 - 449256*u**3 - 9038*u**2 - 313*u - 6.\nAnswer: 1512*u - 2695536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15913, -15746, -15469, -15082?\n\"Answer: 55*w**2 + 2*w - 15970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13750310*x**2 + 2 - 2 + 13750305*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/25)*q**4*(q*q*q\/q**(-1\/2)*q)**(3\/2) assuming q is positive.\nAnswer: q**(1183\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1769\/(-244) + (-3)\/4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 102, 159, 234, 333, 462, 627?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 9*x - 33. Let u = x - -15. Determine r, given that 1597*r**4 + 348*r - 56*r**u + 3645*r**3 + 646*r**4 + 1782*r**2 + 24 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 51457122*s\/7 - 205828456\/7.\nAnswer: -2*(s + 4)*(s + 25728557)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from curccvmvgvcr. What is prob of picking 4 c?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(6\/(-4)) - (-31)\/(-310).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 1. Calculate the least common multiple of r and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 - -300. Which is the biggest value? (a) 0.4 (b) p (c) -15.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*l - 364 + 110 = 0, 0 = 2*s + 3*l - 133. What is the highest common factor of s and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 8652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6 - 3. Let n = q - -4. Suppose -2*u + 3 + n = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p**5 - 9*p**3 + p**2 - 9*p. Let y(g) = 3*g**5 + 2*g**3 + 2*g. Let n(h) = -2*r(h) - 9*y(h). Find the third derivative of n(q) wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -85*r**3 - 3*r**2 + 5*r + 7. Calculate u(-1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 33 = -15. Is 435\/9 - (-8)\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -2c0c1?\nAnswer: 2c0c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 3401155?\nAnswer: 3401203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5*h = 2, 21*h = -4*l + 19*h - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 951 and 24?\nAnswer: 7608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m + 1. Let n be 4*3\/36 - 4\/(-6). Let j(v) be the second derivative of v**3\/2 - v**2\/2 + v. What is n*j(h) + 2*i(h)?\nAnswer: -2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:52 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182*x = 2*w + 1181*x - 51, 17*w + 61 = 21*w - x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b + 26. Let o(m) be the first derivative of 5*m**2\/2 + 9*m - 264. Determine 6*c(i) - 17*o(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6881760 divided by -160.\nAnswer: 43011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/240 + 3*b**4\/32 + 3*b**2 + 13. Factor p(l).\nAnswer: l*(l + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 - 218. Let o = -8 + 7. Sort g, o, -5, -165 in increasing order.\nAnswer: -165, -5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34355064 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, -0.1, 703, 0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16297, -32277, -47695, -62269, -75717?\nAnswer: -87757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 m, and 1 f when four letters picked without replacement from {o: 3, f: 2, m: 4, g: 10}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 + (-60)\/(-15). Suppose 0 = u*y + r - 3 - 14, 0 = y + 3*r + 4. Factor -7\/4*k**y - 4*k**4 + 0*k - 11\/4*k**3 - 1\/2*k**2 + 0.\nAnswer: -k**2*(k + 1)**2*(7*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j + 8. Let a(m) = -4*m**3 - 20*m**2 + m + 4. Let h be a(-5). Let v be d(h). Solve v*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**2 + 8*i. Let f(l) = 5*l**2 - 7*l. Let d(g) = -4*f(g) - 3*p(g). Let m(v) be the third derivative of v**5\/60 + 16555*v**2. Calculate m(d(x)).\nAnswer: 4*x**4 - 16*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9006, -18921, -29738, -41457?\nAnswer: -54078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -465, -449, -433, -417, -401?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-29*(-234)\/260 + -26)\/((-16)\/(-15))\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(-9)\/y*y*y\/(y\/y**(-2\/21)))**(-1\/62) assuming y is positive.\nAnswer: y**(64\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 + 2*s - 6. Calculate the smallest common multiple of y(5) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1457*p**2. Let i(s) be the first derivative of -2*s**3\/3 - 659. Determine i(k(f)).\nAnswer: -4245698*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 11 + 0 = -v, -3*v - 9 = o. What is the common denominator of 123\/10 and (-85)\/(-4) + o\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 11*f**2 + 2*f + 8. Let u(l) = 2*l**3 + 14*l**2 + l + 8. Let a(h) = -2*u(h) + 3*y(h). Determine a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6228523, -6228520, -6228515, -6228508, -6228499, -6228488?\n\"Answer: p**2 - 6228524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmkzmzzvmmmukmvkmkz. Give prob of sequence km.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56 or -4?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195\/31 - -1006\/155. What is the nearest to g in -3\/2, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -8. Let l be (-2)\/(-8) - 11\/v. Suppose -2*i + l*s = -11, -2*i - 5*s + 15 + 20 = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 13*x**3 + 4*x**3)*(121 - 83 - 161 - 3*x).\nAnswer: -36*x**4 - 1476*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/5 of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/((-8)\/40 - (-767)\/2860)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -77. Suppose 0*u = 5*u - 40. What is the highest common divisor of u and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416643500?\nAnswer: 2, 5, 7, 13, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 20*j**3\/3 - 10*j - 9. What is the derivative of d(z) wrt z?\nAnswer: 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*n - 526*n + 344*n + 5*n**2 - 4*n**2 + 323*n + 341*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.040618kg?\nAnswer: 0.000040618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.42 and -0.4101?\nAnswer: -1.402542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 3*s - 7. Let b be p(-5). Let i be (b*2)\/(15\/10). Find the second derivative of 0*x - i*x + x - x**2 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/5 - 1134*m**2\/5 - 54813*m + 5563580 = 0.\nAnswer: -605, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-78))\/(2*3\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31974*v**4 + 26426*v**3 + 15922*v**2\/3 + 722*v\/3 = 0. Calculate v.\nAnswer: -19\/219, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x = -22*x - 217280000. What is x rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*t - 31 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 37033?\nAnswer: 37033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -615755 divided by -73\nAnswer: 8435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -49486*j - 890760. Calculate d(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917 is divided by 107?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -6, 2, -5 in increasing order.\nAnswer: -6, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 9 = -5*f + 3*a, 0 = 3*a + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3243*k**2 + 7991*k**2 - 26086*k**2 to the form z + j*k**2 + t*k and give j.\nAnswer: -14852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - -14.4. Let w = 17 - y. Sort -3\/2, w, -4 in descending order.\nAnswer: w, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9324657703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + (56 - -28) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - -1 - (2 + -6). Solve -8 = -f*v + 42 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 18*c**2 - 23*c + 15. Calculate the remainder when m(-19) is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -2.02. Let i = -123 - -613\/5. Sort j, -0.5, i in descending order.\nAnswer: i, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(22*4\/(-198)*15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -25*i + 169. Let h(y) = 31*y - 170. Calculate -5*h(u) - 6*x(u).\nAnswer: -5*u - 164","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 300*y**2 + 10839*y + 762. What is w(-258)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t + 566. Is 3 a factor of f(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065 take away 9?\nAnswer: -9.0065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (177 + -133) - ((1 - 0) + 1 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155545469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1886 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -143*l**3 + 142*l**3 + 109*l**2 - 108*l**2 + l - 1. Let w(b) = -5*b**3 - 15*b**2 - 15*b + 15. Give 15*c(j) + w(j).\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/4, 29 in ascending order.\nAnswer: 1\/4, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 20 = 2*w, -2 - 4 = 3*i. Suppose -6*o + 2*o + 4*t = -268, -345 = -5*o - w*t. What is the highest common factor of o and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7009)\/(-1956) + 5*(-2)\/12)*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17632)\/(-7) - -4)\/((-6)\/(-21)). Is 7\/42*q*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989420091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1250 + -1232 - (4 + -20)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 6. Let l = 10 - x. Suppose -3*n + 40 = 5*w, l*n - 3*n - 24 = -3*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3*(-6)\/(-108))\/((-123)\/18*1)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/5, -0.005 in decreasing order.\nAnswer: 3\/5, -0.005, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -26*v**2 - 1353*v - 47. Let x be b(-52). Solve 7*r + 43 = -5*q, -q - x = 5*r - 6*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Let r = -3 + h. Suppose 2*m + r*m - 1990 = 2*b, -4*m + b + 1995 = 0. What is m rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v + 33 = -272 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -8)\/((-6)\/4). Suppose -f - 4*t = -6, 3*t - a*t + 3 = 2*f. Determine d so that 1\/3*d**5 + 1\/3*d + 4\/3*d**2 + 0 + f*d**3 + 4\/3*d**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15*14\/(-1260) + (-208841)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 1:52 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 820\/170*(44 - 27) - -19\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + -2 + sqrt(500) + 4 + -3)*-2.\nAnswer: -20*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 15*n - 633*n + 2 - 4 in the form z + w*n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/7))**27\/(t*t**0\/t)**17)**(-16) assuming t is positive.\nAnswer: t**(-432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20*119110\nAnswer: 2382200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7667775 millennia to months.\nAnswer: 9201.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 12 + 15 - 16 + b. Let f be t(11). Suppose s - 59 - 10 = f. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 470547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352962332807371 + -0.2.\nAnswer: -352962332807371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.16 - 11.66. Which is the closest to 0? (a) n (b) 1 (c) 3\/5 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 58499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x + 4*u + 52 - 59 + 51, 0 = 2*x - u + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + f. Let g(d) = -d**3 - 10*d**2 + 9*d - 1. Let o(k) = g(k) - 4*j(k). Let t be o(-6). Let i = t + 44. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36036, -34685, -32434, -29283, -25232?\n\"Answer: 450*d**2 + d - 36487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 6*u + 3. Let p be t(5). Let r be 20*(-3 - (34\/10)\/(-1)). Suppose 6*z = r*z + 10. What is the closest to p in 0.3, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + sqrt(320) + 0 + sqrt(320))*-6)**2 + (sqrt(80) + -2)*4.\nAnswer: 16*sqrt(5) + 103672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2\/3 - 1051848*m - 3155556 = 0. Calculate m.\nAnswer: -3, 788889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u. Let x(j) = -231*j**2 + j. Calculate d(x(w)).\nAnswer: -924*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:43 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 - 2*j**2 + 8*j**2 + j**2 - 17*j - 35 + (2 + 0 + 0)*(-3 + 3 - j**2) + 1 - 2*j**2 - 1.\nAnswer: -2*j**2 - 17*j - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 23*w**2 - 23*w - 19. Let f be p(-22). Let j(x) = 2*x - 6. Let h(r) = -r + 2. Determine f*j(o) + 8*h(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5686753 by -5686753.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.392964 * 60.\nAnswer: -143.57784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*m. Suppose 5*k + w + 90 = 0, 5419*k - 3*w = 5414*k - 90. What is the biggest value in k, -0.04, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/62*51\/(255\/20)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**5\/10 - 5*p**4\/4 - 16*p**3\/3 - 8*p**2 - 31. Suppose n(k) = 0. Calculate k.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - 4.91. Sort -8, z, -4 in descending order.\nAnswer: -4, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*k - 57, 0 = -2*k - u + 217 - 184. Solve -j - 6*j + k = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/5 + 729*c**4\/5 - 9613*c**3\/5 + 24603*c**2\/5 + 86436*c\/5 - 280476\/5 = 0. Calculate c.\nAnswer: -742, -3, 3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 347*o**8\/56 + o**5\/10 - 3*o**4\/4 - 45*o**3 - 1646*o - 2. Find the third derivative of n(q) wrt q.\nAnswer: 41640*q**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8978459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aawa when four letters picked without replacement from naaaawaaaaaaaaaaw.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + b + 5 = 0, 4*b = -2*y + 9 + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -29420*q. Let h(l) = 3*l. Determine h(a(b)).\nAnswer: -88260*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19328*s**4*v**3 - 22*s**4*v + 556966*s**2*v**3 - v**2 wrt s?\nAnswer: 463872*s*v**3 - 528*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -156270 and -156268 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14585\/2 + 7293. What is the closest to m in -3, -3\/5, 17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1143 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21239.87 centuries to millennia.\nAnswer: 2123.987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6136 and -15.61.\nAnswer: -14.9964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1016?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 0*a + 4*a + (-2 + 0 + 0)*(a - 3*a + 0*a) - 1 + 1 + a + 1 - 3*a - 1 + (4*a - 2*a + a)*(2 - 3 + 3) + 0*a - 3*a + a + 9 - 9 - a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*d - 20. Suppose 2*l + 4*j = d, -j - 22 - 26 = -3*l. Suppose 37 = 5*x + o, -2*o - 39 = -4*x - l. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -3. Differentiate 7 - i - j + 0 with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -42*j - 49. Let u(l) = l + 1. Let g(t) = -2*f(t) - 98*u(t). Let a(i) = -2*i**2. What is a(g(n))?\nAnswer: -392*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3. Let g(w) = -43*w**3 - 40*w**2. Suppose -9*n - 2 = -11*n. Let x(d) = n*g(d) + 2*t(d). Find the third derivative of x(s) wrt s.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130*5729\/109525)\/(2\/90*2).\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185 by -37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 2*w + 7. Let x be g(-4). Let l be (-3)\/(-3) + x + 4. Suppose -d = 3*d - l. Solve 3*c - 4*b = d, 3*b + 0 + 8 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/9 and 2183\/31683*(-15)\/(-5)*-1.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)\/m)**(2\/49)*m**(-1)\/((m\/(m\/(m*m**(-4\/7)))*m)\/m))\/(m\/m**(-8)*m\/(m*m**6)*m)**(11\/5) assuming m is positive.\nAnswer: m**(-7568\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000059947 to seven dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223.541 + 1.659. Let p = w - 225. Which is the nearest to 13? (a) p (b) -2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let t(q) = 501829*q. What is k(t(s))?\nAnswer: 251832345241*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (392\/84)\/(136\/(-51)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q - 1. List the prime factors of z(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*q**3*u**2 - 3018*m*q*u**2 + q**3*u**2 + 1659*u**2 wrt m.\nAnswer: q**3*u**2 - 3018*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23008506?\nAnswer: 2, 3, 19, 201829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*x - 62, -5*x + g - 16 = -62. Suppose t = 3*q - x, -9*t + 5*t = 4*q - 40. Solve q*w + 8 = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 3 - 3 + (2*b + b + 2*b)*(0 - 1 + 3) + (6 - 3 - 2)*(4*b - 13 + 13) + 30*b + 4*b - 83*b to the form n*b + g and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + 0 - (-9 - 1). Suppose -183 = -2*o + 21. Let l = -54 + o. What is the greatest common divisor of i and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 421.\nAnswer: -44\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*l + 398 + 386, 3*l + r + 568 = 0. Let m = -123 - l. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 - 509 + 253 + 256.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10158 + -9862. Suppose 0 = -0*d + 5*d - 1475. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 40 = -0*k. Suppose 3*x - k - 11 = 0. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21652 * -0.2.\nAnswer: -4330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 125, -5, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(2\/45))*(m*m**(1\/6))\/m)\/(m\/((m*m**(-6\/7))\/m)*m)**41)**(-15) assuming m is positive.\nAnswer: m**(73723\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/25)\/(((-15)\/25*1)\/(-6)). Sort 1, -3, k, 401.\nAnswer: -3, 1, k, 401","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11. Let n be (8\/12)\/u - 0. Suppose y + 0*y + 9 = 2*x, -5*y + 39 = 4*x. What is the third biggest value in n, x, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(-5*g + 3*g + 3*g) - 3667*g + 2126*g + 2435*g.\nAnswer: 890*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63044363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 12. Let q be m(-12). Let u = -10 - q. Solve -2*x - 2*s + 2 = -0*x, -x - u*s = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368499, 736995, 1105491, 1473987, 1842483?\nAnswer: 2210979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36864\/2363 + 269\/17. Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - 5. Let d = -3 + a. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*a**3 - a + 7*a**4 + 28991*a**2 - 57981*a**2 + 28991*a**2 - 1 in the form w + r*a**4 + c*a**2 + d*a**3 + m*a and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -367*m**4 + 8*m - 14. Let j(b) = -366*b**4 + 8*b - 13. Let q(u) = 6*d(u) - 7*j(u). Find the second derivative of q(i) wrt i.\nAnswer: 4320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*m - 0*m + 1376, 456 = r + 3*m. What is the least common multiple of r and 18?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 2, 137, 45 in decreasing order.\nAnswer: 137, 45, 2, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6270 and 870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(6300) + -4 + (sqrt(7) + (2*sqrt(77))\/sqrt(11) + sqrt(7) + sqrt(7))*-3 + 1)**2.\nAnswer: -4752 + 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-5) - 3\/(-5). Suppose q*p + 4*w + 6 = -0*w, -p + 6 = -w. Let i = 0 - 0. Which is the second biggest value? (a) -2 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 17 = -9*r + 8*r, -2*r + 3*z = -5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3639048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 18\/7*f + 0 - 1\/7*f**3.\nAnswer: -f*(f - 9)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 20*n**2 - 157*n - 848. Give j(27).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 674 - 672. Let i be 4\/10*(1 + 0). Which is the second biggest value? (a) h (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*q - 6 - 12 = 0, k + 6 = -q. Find the common denominator of 53\/15 and -3 - (k + 0) - 170\/42.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499 divided by 22.\nAnswer: -499\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 10. Let v(t) = 12. Let k(u) = -6*a(u) + 5*v(u). Let z(m) be the second derivative of m**4\/6 + 4*m. Determine z(k(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -857564*h**3 + 3*h**2 - 164*h + 782936358 wrt h?\nAnswer: -2572692*h**2 + 6*h - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 q when three letters picked without replacement from {q: 2, e: 1, s: 1, a: 1, t: 2, o: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(234\/752895*65).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191444423 a multiple of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26050507*n**2*s - 133408*n**2 + 77*n - s wrt s?\nAnswer: -26050507*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904*a + 917*a = 52, -7*h + 0 = -3*h + a - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 597*m**3 - 3*m**2 - 4*m - 1. Let k be f(-1). Let t = k - -597. Solve t = -5*i - 17 + 17 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.02923 * -4.8\nAnswer: -4.940304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 1. Does 13 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6666540 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*i - 61*i + i**5 + 5 + 2*i**5 - 4*i**5 + 4*i**5 + (2*i**2 - 3*i**2 + 2*i**2)*(0*i**3 - 3*i**3 + 5*i**3).\nAnswer: 5*i**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2, 5*s - 2*p - 2 = 2*s. Suppose 2*v + s = 7*v - 2*l, 5*v + l - 14 = 0. Let u = -6.1 - -1.1. Which is the closest to 1? (a) v (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 4. Let m be b(4). Suppose -16*l = -m*l. What is the common denominator of 24\/7 and 70\/112*(1 + l)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 + 2*b + 4. Let x be u(0). Suppose 3*m + 2*z = 89, 88 = x*m - m + z. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1420, 2848, 4266, 5668, 7048, 8400, 9718?\n\"Answer: -q**3 + q**2 + 1432*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -35554?\nAnswer: 35544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**2 + 5*w - 5*w - 12*w**2.\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 1, w: 2, r: 1}. What is prob of sequence wtwr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, -3, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 8*n + 13. Let d(q) = -q**2 - 14*q + 5. Let v be d(-14). Suppose 2*l - 31 = 6*l + s, v*l - 4*s + 44 = 0. What are the prime factors of i(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 4*r**2 - 2*r - 4. Let m be q(-4). Suppose m*w = -w - 15. Let y(d) = -d**2 - 3*d - 1. Calculate y(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 n when four letters picked without replacement from nrrsrrns?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((81\/(-135))\/((-54)\/20))\/(16*29\/(-2436)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*b - f, -354*b + 355*b - 43 = 4*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 2)*(7 + 1 - 21)*(-2 + 0 + 0)*(-3*n - 4*n + 5*n) + (n + n + 0*n)*(-5 + 1 + 3).\nAnswer: -366*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 48. Let d = -8 - r. Suppose 92 - d = 5*u + 3*v, 4*u - 4*v = 52. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + h + 0*h + (5 - 7 - 15)*(-2*h + 3*h - 2*h) to the form r*h + v and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 40*w + 43. What is f(40)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -446*u + 1. Let o(r) = 5*r**2. Calculate o(c(n)).\nAnswer: 994580*n**2 - 4460*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.192447 tonnes to milligrams.\nAnswer: 7192447000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5042*f**2 + 5023*f**2 - 10035*f**2.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwwvyfly. What is prob of sequence fy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-8) + (-1)\/(-4). Let l(c) = 2*c - 1. Let j be l(z). Let u(f) = -4*f - 2. What is the remainder when u(j) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -305499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 126*g - 126*g - 29*g**2. Let p(t) = -2*t**2. What is p(k(c))?\nAnswer: -1682*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.965 - 9. Let d = 37.035 + f. Let w = d + -36.99999915. Round w to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 2*h - 168 = -10*t, -2*t = -4*h - 84. Calculate the highest common divisor of 168 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*d - 120*d = 0. Suppose d = 408*s - 404*s - 376. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206\/11 + -964\/55. What is the closest to q in 0.2, 3\/8, -0.1, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 23 = -4*c - 31, -3*v + 5*c + 24 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) - (3 + sqrt(128))*4 - (-2*sqrt(2) + -5 + 4)**2.\nAnswer: -28*sqrt(2) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555?\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 + 5*o + 9. Let z(v) = v**2 - v - 2. Let d = 3 + -21. Suppose b + 3*p + 3 = -1, b + 4 = 4*p. Determine b*n(l) + d*z(l).\nAnswer: -2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2132\/15 + 142. Let j be (-13 - -12) + (-49)\/(-45). Let a = j - u. Which is smaller: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675, -82, 1659, 4554, 8609, 13830?\nAnswer: 20223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, -0.1, 1, -1\/72 in descending order.\nAnswer: 1, 0.22, -1\/72, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-6) + (-4)\/12. Let k be (y\/(-3))\/(1\/36). Let g(v) = v**2 - 2*v. Let l be g(3). Calculate the greatest common divisor of l and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 808705071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + g + 9601 + 2220 = 0, -23636 = -2*h - 4*g. Is 151 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/7*(-2 - -9). Let p(f) = 13 + 4 - 12*f**2 - f + f**3 - 4 + 3. What is the units digit of p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100011011 (base 2) in base 9?\nAnswer: 4537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 5. Let y(f) = -5*f - 4. Suppose -2*q + 3 = 7. Let r be q\/(-2) + (1 - -2). Determine r*c(d) - 5*y(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (442\/(-16))\/(7\/(-42)). Let v = l - 165. Let f be ((-4)\/(-2))\/(-2 + -1). Which is the third biggest value? (a) v (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpa when three letters picked without replacement from {m: 1, p: 9, a: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5))**3\/(u**(1\/4)*u*u)**22*((u**0*u)**22)**(3\/22) assuming u is positive.\nAnswer: u**(-453\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 13*a**2 - 14*a - 9. Calculate d(12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 177538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from {w: 1, y: 2, e: 3, s: 2, o: 3, q: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.57 and -61205938?\nAnswer: 61205937.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3314 is divided by 407?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Suppose 0 = p + k*p. Suppose 24 = -p*j + 3*j. Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(1\/4)\/o)*o\/(o\/(o*(o\/o**(-1\/3))\/o*o*o)))\/(o**(-1\/4)*o**(1\/3)))\/(o**1\/(o**(-4)\/o)*o**5\/(o\/o**(-4))) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x = 4*y + 15, x = 5*y + 21. Let o be 1*2 - y\/(-3). Let g(a) = a**2 + 4*a + 3. Let d be g(-2). Sort -4, d, o in decreasing order.\nAnswer: o, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from cdj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 33 + 27. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292891033*n**5 + 40*n**2 - 11*n - 11254 wrt n?\nAnswer: -17573461980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 28 + (-53 - -20) - (4 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/945)\/((-2)\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 104*f**2 + 2805*f + 5202.\nAnswer: (f + 2)*(f + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670137 is divided by 83577.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5 + 212*z**4 + 2364*z**3 + 10368*z**2 + 20466*z + 15228 = 0.\nAnswer: -94, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 29 = -67*k - 651 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5605*c**3 - 24*c**2 - 3*c + 16. Let d(z) = -3737*z**3 - 15*z**2 - 2*z + 10. Give -8*d(a) + 5*g(a).\nAnswer: 1871*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b051c (base 16) to base 14\nAnswer: 14b2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.5. Suppose i = -5*d - 20, -d + 0*d + 4*i - 25 = 0. Let y be (-2)\/d + (-14)\/10. Is g bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1912*o + 2367*o - 5104 = 45401 for o.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 + 12816*s**3 - 64232*s**2 - 166896*s - 89852 = 0.\nAnswer: -3209, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -18. Let a = l + -6. Let f(k) = 0*k + 2*k - 11 - k. Calculate f(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = 26. Suppose -v = -4*d + 22. Calculate the common denominator of 101\/4 and 137\/4 + 3\/d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -38. Let o be -4 - 5\/(25\/(-30)). Let f(z) = -l*z**2 + 3 + 36*z**o + z - 2. What is f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430012 (base 5) in base 15?\nAnswer: 43dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-4))\/(9 - 438\/48). Is v not equal to 53\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -7*u + 180. What is the common denominator of (2 + (-34)\/u)*-3 and -37\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598 = 13*x + 10*x. Suppose 0*n - x = -5*n + 4*y, 3*n + 2*y + 2 = 0. Solve -13*t + n = -15*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - u = 4*u + 27, -171 = -325*p + 330*p - 131*u for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 81 = -5*f - 4*p + 47 + 18, -14 = f - 4*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742659227 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 5*b**2 + 0*b**2 + (-4*b + 0*b + 3*b)*(-b + 2*b - 3*b))*(5*b + 3*b + 3*b).\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) -1.14 (c) 0 (d) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4941 = 5*y - 4793, -y = -4*b + 17 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 x when four letters picked without replacement from xgxqxgx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 46. Determine f(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:02 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1\/435, 0.5, 0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 25*v**2 + 1. Let m = 1 + 0. Suppose 0 = -5*h - 3*g + m, 4*h + 1 = -g - 1. Is 19 a factor of q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802734 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 2*u**3\/57 + 58*u**2\/19 - 146. Suppose o(j) = 0. Calculate j.\nAnswer: -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*u + 697 + 694 = 2083 - 692 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2*i**3\/3 - 2*i + 57. Let a(t) = -12*t. What is d(a(s))?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-333)\/162)\/(10\/(-6)). Are w and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2230 and 1738261585.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*2430.\nAnswer: 29160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a0215 (base 11) in base 3?\nAnswer: -10000002110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*k**3 + 0*k**3 - 5*k + 2*k**3 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -144 + -9b?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577488 = -18*t - 30*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -3\/4, 0.05, -2\/19, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12024 and 27.\nAnswer: 36072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 4*l + 2*l)*(-42 + 3 + 8) in the form u*l + c and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-132)\/(-594) - (-5)\/((-90)\/(-68)). Suppose 6*k - i = 14. Solve 3*h = 4*j + 18, -2*j + 4*h - 11 = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119\/9 - -13. Sort f, 4, 2 in increasing order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63068604*c**2 - 11171*c - 98?\nAnswer: -126137208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -5*v**8\/168 - 5*v**4\/12 - 7*v**2. Find the second derivative of y(z) wrt z.\nAnswer: -200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c + 5*c - 5*c)*(-c + 1 - 1)*(5 - 1 - 3).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 395, 573, 873, 1295, 1839?\n\"Answer: 61*f**2 - 5*f + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*g = 8*v - 6*v - 302 - 330, 0 = -5*v + v - g + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -1\/8 (c) 9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14589775 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1053 and 3042?\nAnswer: 27378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15003451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -0.5, 2.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -161*o - 151*o + 9*o**3 + 307*o + 8*o**3 - 5*o**3 + 5*o**3 + (-3*o + 3*o + 2*o)*(o**2 + 2*o**2 - o**2) + o**3 - o**3 + 2*o**3.\nAnswer: 23*o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 2\/3, 1, -20790, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*d**6*i + 6426*d**3*i + d**2*i - d*i + 144*d - 51*i + 3 wrt d.\nAnswer: 8760*d**3*i + 38556*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51952719 by -52637.\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*c - 166*c + 75*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183022843*x**3 + 467839*x**2 - 22*x wrt x?\nAnswer: 1098137058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 + 200. Let j = 11893.036 + -11981. Let t = j + q. Is t smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1144)\/51480)\/(1\/18).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + -2. Is (-17 - s)*28\/5 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11543 equal to -11520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*u**2 - 89*u**2 - 224*u**2 + 46*u**2.\nAnswer: -679*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -107811?\nAnswer: 107815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001409783352 rounded to 6 dps?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 less than 193523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 13, f: 2, a: 5}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/5 + ((-4)\/4)\/5. Suppose -b*l = -12*l + f + 4, 0 = 3*l + 2*f + 8. Determine n so that 6\/7*n**2 + l + 4\/7*n + 2\/7*n**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.13 to zero dps.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -57778827 - 186\nAnswer: -57779013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344 and 1978.\nAnswer: 7912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + sqrt(425)*3 + sqrt(17) + -5.\nAnswer: -5 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -257.3389 + -0.3611. Round o to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 614.1439 - 0.1439. Let w = -602 + o. Which is the second biggest value? (a) -1 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17722 + -17697. Solve 4 = 27*c - f*c, 22 = 3*t + 5*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269\/11 + 266\/11. Suppose -3*d + 9 = -2*d. Let i be (4\/(-6))\/((-2)\/d). What is the closest to z in -3, i, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*p - 16 = 322*p, 7 = -5*a + 3*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 0.6, 1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.04, -6, -2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4 and 181\/1928340?\nAnswer: 1928340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -952 + 3*r + 21*r**2 + 952.\nAnswer: 21*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*-1 - (sqrt(28) + sqrt(7) + 1)**2.\nAnswer: -64 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3490*z = -2261*z + 9931*z + 256680 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 2, u: 1, f: 4, s: 3}. Give prob of picking 1 d and 3 s.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 2*n**3 - 4*n**3)*(29 - 63*n + 410*n - 29).\nAnswer: -347*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/59783 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(17\/5)*b*b**(-2\/3)\/b)\/(b*b**(-3)*b*b**(-2\/73)*b))**(-2\/13) assuming b is positive.\nAnswer: b**(512\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let x be 1 - 3*6\/(-9). Find the first derivative of r + g + 3*r - x*r wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*n + 4*w = -4, 4*n + 5*w + 32 = 0. Let v = -1 - n. Solve 2 = -v*g - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*h + 46*h**2 - 19*h**2 + 3310 - 3308 + 98*h.\nAnswer: 27*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13851\/80 - -856\/5. Suppose -2*w = -w - h - 209, -5*w - 2*h = -1024. Find the common denominator of -1*w\/20 + -2 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -313.96336 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*t - 18. Is 1\/13 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 952.42 - 965. What is h rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*4 - (sqrt(208) - (sqrt(208) - sqrt(208)*-3 - sqrt(208))))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5746 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/198096 and 99\/33016?\nAnswer: 198096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29760 divided by -320?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1625 + -1626. Put -3, 4, 5, c in descending order.\nAnswer: 5, 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**2 - 59*t**2 + 102*t - 77*t.\nAnswer: -41*t**2 + 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(10))\/sqrt(11) + ((-4*sqrt(27) - sqrt(27))\/sqrt(9))**2 + 1.\nAnswer: sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-12)*4\/16.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*v = 81, 5*h - 4 = -5*v + 351. Let d = -36 + 50. What is the remainder when h is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408309 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 + -375\/2. Let k = 1273.7 - 1274. What is the closest to 2\/3 in 21, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8\/3, -1\/8, 2\/11, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2435 + 16?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + 0.15. What is the closest to a in 2, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 395950 divided by 7919\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 538*a**6 + a**3 + 30*a**2 - 19 wrt a.\nAnswer: 64560*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 - 9*n - 9. Let a(y) = 3*y**2 - 4*y - 4. Let h(k) = -9*a(k) + 4*q(k). Let j(d) = 38*d. Give j(h(g)).\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -284355 + 108?\nAnswer: -284246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*j - 204, 0 = j + 4 - 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**3 - 114*g**2 - 191*g + 221. Calculate k(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286555*u - 143294*u - 133*u**2 - 143294*u to the form i*u + c*u**2 + a and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 99 = -3*a - a, 5*a - 3*v - 126 = 0. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11081161.8 - 1?\nAnswer: 11081160.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 241 + 116 + 20 + 578 to s + m*o and give s.\nAnswer: 955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 42*n**2 + 45*n - 109. Determine o(43).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 + 6*v**3 - v**2 - 24*v - 16 = 0 for v.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13434430 to the power of 1\/2, to the nearest integer?\nAnswer: 3665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r - 4*s - 34 - 52, r + 23 = -5*s for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14146512 a multiple of 2388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 8*k - 2. Let y be m(-6). Suppose -5*r + y = -3*r. What is the greatest common factor of r and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnln when four letters picked without replacement from {n: 7, l: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -7 (c) 67 (d) -0.11 (e) 1 (f) -2\/5 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, -192, -486, -916, -1488, -2208, -3082, -4116?\n\"Answer: -w**3 - 59*w**2 + 20*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.5, 2\/3, 3, -1, 0, -57 in decreasing order.\nAnswer: 3, 2\/3, 0, -1, -9.5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 + 6*z - 4. Let s be t(5). Let r = 1443 - 1429. Calculate the highest common divisor of s and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:58 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -47685130 rounded to the nearest 1000000?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2559192 micrometers in centimeters?\nAnswer: 0.00002559192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -1, 92, 3, 20, 2, -4 in increasing order.\nAnswer: -32, -4, -1, 2, 3, 20, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 5*g - 3*g)*(0*g + 5*g**2 + 0*g) + g**3 - 3 + 3 + 0*g**2 + 0*g**2 - g**3 in the form k*g + z*g**2 + v*g**3 + m and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10*m = -5*m - 3, -37 = -9*q + m. Solve -q*f = 3*g - 15, -4 = 5*g + 4*f - 7*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 35 - 34 + 136 - 35 - 28*p**3 in the form x*p + t*p**3 + b + k*p**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131181337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 16 = -a, -5*a - 33 = 4*l - 161. What is the smallest common multiple of a and 109\/2 + (-1)\/2?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4328 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -3 (c) -1 (d) 6\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2012 + 583?\nAnswer: -1429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -143*d. Let t(i) = i. Determine t(y(a)).\nAnswer: -143*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 2. Let o(f) = -381*f + 192*f + 189*f + 2*f**2. What is m(o(h))?\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-11))\/((-6398)\/100540).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 - 2*f - 2. Give p(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.12, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 497 in -0.3, 1\/45, 0.4, -5\/2, 1\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19 + (-3 - (2 - 3)). Let c be (28\/f)\/((-1)\/3). Let d = -6633 - -6637. Solve -2*v + 3*v - 25 = c*h, d*h = 3*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -24 (b) -3 (c) -7 (d) -1 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*d = -17, 0*m + 5 = 3*m + d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by ((-9)\/3)\/((-1 + 0)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = 3*i - 45, 3*z = 5*i + 27. Suppose 3*w - 507 = -x, -220*x - 666 = -4*w - 223*x. What is the highest common factor of z and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.6491 kilometers in millimeters?\nAnswer: 394649100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 553489656 to the nearest integer?\nAnswer: 23526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72002944.\nAnswer: 2, 13, 43271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33587058?\nAnswer: 2, 3, 5597843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14112 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 31 = -3*c + 93, 94 = 3*c - a. Calculate the remainder when 93 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2224 and 5282?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.8955 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*t**3 - 2*m*t**2 + 3938*m*t - 24822*t**3 with respect to m.\nAnswer: -t**3 - 2*t**2 + 3938*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 4524*h - 9267*h - 39 + 4495*h.\nAnswer: -248*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103914979 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -8*v + 6. Let k(q) = -q**3 + 6*q**2 - 3*q + 11. Let x be k(v). Let f(n) = -179*n + 6. Is f(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*w + 12, -3*b = -b - 3*w - 7. Let h be (15\/6 + -3)*b. Sort h, -4, -3 in descending order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -32*p**4\/7 + 6416*p**3\/7 - 46194*p**2\/7 - 24302*p\/7 - 3088\/7 = 0.\nAnswer: -1\/4, 8, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206610*g**2*t**3 - 131*g**2 + 292*g*t + 322860*t**3 wrt g.\nAnswer: 413220*t**3 - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1533189 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6039, 4, 6, -4, 0 in increasing order.\nAnswer: -6039, -4, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9310\/361 - (-168)\/798.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b + 1. Let t(n) = -891*n**3 - n**2 + 6*n + 5. Let s(y) = 4*l(y) - t(y). List the prime factors of s(1).\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*n - 1)*(-3 - 1 + 14) - 2*n + 4*n + 0*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + -2*sqrt(176) - sqrt(176) - sqrt(176)) + 4 - (2 + (4 + (sqrt(176) - (sqrt(176) + 0 + sqrt(176))) - sqrt(176)))) + 1 + 5)**2.\nAnswer: -64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19538070*h**2*m*w - 8*h**2*m - 2*h**2*w**2 - 10063*h**2 + 2*h*m + 250 wrt w?\nAnswer: -19538070*h**2*m - 4*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1968 + 625 - 614)*(-t**3 + 0*t**3 - t**3).\nAnswer: 3914*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 8921.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 103*m - 157. Let l be d(11). What is the highest common factor of 456 and l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + 3 - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-12)*-9*(-9)\/(-27). Suppose 3*g + b*g**2 + 9\/2 = 0. Calculate g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 47 + (12 - 16) - (-1 - -12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (19 - 1)*(-6)\/(-18). Let h(a) = a + 3 - 3 - 4. Let y be h(x). Solve y*s + 5*z = 27, 2*z - 2 = 4*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = 12*o - 354 - 42 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.045 + 0.044925. What is z rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2. Suppose 2*x - 5*i = -5, 0*x + 2*x + 3 = 3*i. Let p(r) = 3 + x*r - 9*r - 3. Determine t(p(d)).\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 120. Let t = l - 7. What is the greatest common factor of 20 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -m - 8, o - 8 = -4*m + 3*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30612*c**3*x**2 - 2*c**3*x - 3*c**3 + 25*c**2*x - 58176*x**2 wrt c.\nAnswer: -183672*x**2 - 12*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 4*z**4 + z**2 - 3*z**4)*(89 - 271 + 16).\nAnswer: -166*z**4 - 332*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10828.\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*h + 4 = 0, -7*h + 6 = 2*z - 8*h. Solve -5*t - 2*f = -1 + 15, 3*t - z = 4*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 - 6 = 0. Suppose -q = w*q - 636. List the prime factors of q.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 377*p - 15192. Give i(37).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*f + 6, -161*u = -160*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + v + 1 + 4 = 0, 2*s - 3*v = 0. Let d = -5 - -8. Which is the nearest to -1? (a) d (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1285, -2551, -3813, -5065, -6301, -7515, -8701, -9853?\nAnswer: -10965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 78 - 99. Suppose -w*i - 4*b = -21461, -i + 4*b + 7143 = -0*b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, q: 9}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.06, 3 in decreasing order.\nAnswer: 4, 3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2539 = 2539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + -3.6. Let n = -1087552 + 1087551.4. Which is the closest to -1? (a) -5 (b) w (c) n (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1554, -1540, -1526, -1512, -1498?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-9195.1\nAnswer: -27585.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 1, x: 8, s: 2, m: 2, f: 2}. Give prob of picking 1 d and 1 x.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82.2 - 74. Let s = -3326\/1995 + 164\/105. Which is the nearest to 1? (a) 0.1 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/5 + 536*b\/5 - 1088\/5.\nAnswer: 4*(b - 2)*(b + 136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*z + 5*z - 14*z)*(2 + 1 - 4)*(8 + 2*z**2 - 6*z - 8).\nAnswer: 38*z**3 - 114*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)\/sqrt(4) - sqrt(36)) + sqrt(36))\/sqrt(2)*-6)**2 - (-4 + (sqrt(2) - 1*2*sqrt(2))**2 + -5).\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -3\/5 (c) 2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 = -u, 3*k + 2*k - u + 5 = 0. Find the second derivative of 15*g**2 + k*g**2 - 5*g**2 + 23*g wrt g.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, h: 13}. What is prob of picking 1 k and 2 h?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18741, 18737, 18733?\n\"Answer: -4*y + 18745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/(t**(-5)*t))))\/(t**(3\/7)\/t))\/(t\/(t*t\/t**(2\/15))*t**3))**(-17\/3) assuming t is positive.\nAnswer: t**(-6137\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2. Let a(z) = -z**3 + 9*z**2 - 3*z - 7. Let v(q) = -a(q) + 2*s(q). Let i be v(4). Calculate the highest common divisor of i and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = 4979*x - 4980*x, 16*x - o = 3*x + 154 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 68.79?\nAnswer: -73.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171)*-1 + -1 - sqrt(171))**2) + sqrt(95)\/(sqrt(5) - sqrt(405)*2).\nAnswer: -685 - 154*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {l: 8, j: 2, w: 2, u: 1, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 17. Let f be ((-8)\/u)\/((-3)\/(-90)). What is the highest common divisor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 217\/(-35))*(-655)\/29606?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -745, 8721, -3?\nAnswer: -745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -198. Let l = x + -178.9992. Round l to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2148371\/11 or 195306?\nAnswer: 195306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9483896 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 62*r**2 + 902*r - 1160. Calculate p(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {l: 1, t: 4, o: 2, y: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14805, 14814, 14823, 14832, 14841?\n\"Answer: 9*n + 14796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011 + -111010?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62947 and 0.14.\nAnswer: -8812.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 529355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1137 + 2268 + 227 + 174)*(g**2 + 3*g**2 - 5*g**2).\nAnswer: -3806*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 1 = 2*o + s, -4*o = 4*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 1)*(2*d**3 - 2 + 2)*(185 - 185 - 12*d)*(3 - 1 - 3) as c + p*d**2 + l*d + n*d**3 + u*d**4 and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15756 - -15706. Put -0.3, 5, -3\/7, z, 0.1 in decreasing order.\nAnswer: 5, 0.1, -0.3, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 + (-2415)\/(-230).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 521 - 4*p**3 - 259 - 262.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1064022*o**3*r**2 + 18*o*r**2 + 161*o*r + r - 1 wrt o?\nAnswer: 6384132*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/68690423 or 0?\nAnswer: -2\/68690423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5072\/7955 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + 190\/(-25))\/(552\/40 + -8). Put -4, c, 0, -9 in descending order.\nAnswer: c, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -9347426\nAnswer: -46737130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 0.5 (c) -5 (d) -106 (e) -2 (f) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.569 to one decimal place.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -21*k + 44. Determine i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110292*y**3 + 101972.\nAnswer: -330876*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 32 + 52 = -4*l, -4 = -4*r. Let b be 5320\/42*(l\/(-10) - 1). Let s = 83 + -45. Calculate the highest common divisor of b and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59744 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 178 (b) -0.3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 4*d + 1. Let q be m(4). Let s be -12 - -9 - (-1)\/q. Put s, 4, -5 in ascending order.\nAnswer: -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1443*p**3 - 1458*p**3 - 1996*p**3 + 4893*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3426.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/5 + 482364*x**2\/5 + 1447119*x\/5.\nAnswer: -3*x*(x - 160791)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(162)*4)**2 - (sqrt(3200))**2) + (sqrt(96)\/((1*sqrt(96))\/sqrt(8)))**2.\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3613.46 + 3616. What is i rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8575.216 nanometers to micrometers.\nAnswer: 8.575216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4284662*b. Let a(j) = -3*j**2. Give v(a(d)).\nAnswer: -12853986*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Give l(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/21758477 and 22\/13?\nAnswer: 21758477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (-1*sqrt(11) + 0)) + sqrt(11) + (sqrt(99)*3)\/sqrt(9))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 427041607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w + 3. Let r be p(-2). Let l = r + -9. Let t be (-5)\/(-75)*(-9)\/l. Is 0 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*k - 172 = 131*k. Factor 1\/3*r**5 + 0*r + 1\/3*r**k + 0*r**3 + 0*r**2 + 0.\nAnswer: r**4*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**2\/2 - 311373*c\/2 + 2958585 = 0.\nAnswer: -103810, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 1. Let z(g) = -9*g**3 + 6*g**2. Let o(i) = 29*i**3 - 17*i**2 - 2*i - 2. Let h(u) = 4*o(u) + 13*z(u). Determine h(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. List the prime factors of a*28\/48*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -196418339946399 and -0.3.\nAnswer: -196418339946399.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 155 = -770. Suppose -5*q - 59 = 4*v - 8*v, 0 = 4*q + 3*v + g. Let u(a) = a**2 + 12*a. What is u(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -4\/225, 15\/4.\nAnswer: -4\/225, 2, 3, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19)*-1 + 0 + (-1 + sqrt(19))*4 + 0 + sqrt(19) + 1)**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 - 172*o**2 - 736*o - 752 = 0.\nAnswer: -2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {e: 7, v: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 5*d. Let r be q(5). Suppose l = 5*l + k - 253, -3*k - 9 = r. Calculate the common denominator of -37\/3 and (l\/(-12))\/((-1)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2208 and 384?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**6\/20 - 31*h**4\/24 + 5*h**3\/2 + 31*h. Let k(w) be the second derivative of d(w). Differentiate k(g) with respect to g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 242*h - 354*h + 171*h)*(-2*h + 0 + 2 - 1) to the form t*h + f*h**2 + n and give f.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142698.5 rounded to the nearest one hundred?\nAnswer: 1142700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 31112 (base 4) to base 14\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158166.\nAnswer: 2, 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = -0*j. Suppose t = 5*a - 62, j*a + a + 56 = -t. Let n = t + 62. Sort 1\/3, -1, 2, n in increasing order.\nAnswer: -1, 1\/3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -24. Suppose h = -6*c + 8. Suppose o = -c, 0 = -3*w - 3*o + 2*o + 5. Is w at most 8\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.1. Let p = -175\/941 + -1763741\/8469. Let g = p - -208. Which is the nearest to -0.1? (a) 0.5 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165 - 163. Suppose t - 2*r + 2 = 0, 0*t - 2*t = k*r - 14. Solve 2*w = -5*i - 15, -t*w - 4*i = -0*w + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - 1001110111111000111100?\nAnswer: -1001110111111000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74, -232, -506, -902, -1426, -2084?\n\"Answer: -j**3 - 52*j**2 + 5*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + n**2 + 3 + (-9 + 4 + 14)*((23 - 23 + 30*n)*(-4*n + 3*n - n) - 13 + n**2 + 13) to the form u*n + a*n**2 + d and give a.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2548790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let w be i(-1). Suppose k - 12 = -w*v, -3*v - 3*k + 2 + 10 = 0. Suppose 6 = l - v. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10711008*t**3 + 15*t - 1088290514 wrt t?\nAnswer: 32133024*t**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 + 110?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**(-1\/3)))*r*r)**8)**(-5)*(r**(2\/9))**(1\/39)\/(r**(-4\/7)\/r*r*r*r**(1\/9)) assuming r is positive.\nAnswer: r**(-328912\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.453 + -0.053. Let i = -66 + 63. What is the nearest to -0.1 in -27, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448671 times -0.04?\nAnswer: -97946.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -6\/97, -35.2 in descending order.\nAnswer: -6\/97, -3\/7, -35.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223625*a**2*m + 312*a**2 - 42*a*m - 360634*m + 1 wrt a?\nAnswer: 447250*m + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttgtttttgtt. Give prob of sequence ttt.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7)*k)\/k*k*(k\/k**(-1\/4))\/k*k*k)**(-1\/7) assuming k is positive.\nAnswer: k**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/30 - 3*v**4\/2 - 7*v**3\/2 + 48*v**2 + 2. Suppose -2*q - 56 = -4*o - 14, -o = -4*q - 70. Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158287*j + 188783*j + 209627*j + 396788*j.\nAnswer: 636911*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 406 + 3?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7280396 and 1712376.\nAnswer: 5596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69755 by -12.\nAnswer: 69755\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 4, 14 in decreasing order.\nAnswer: 14, 4, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -222 - 72 + 22 - 90 + f**2 - 9 as i + x*f**2 + h*f and give i.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-35 - (17 + -5 + -3)) + -18\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -14327910.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1672680 and 157\/41028.\nAnswer: 21744840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j = -80*j - 456. What is the remainder when j is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1650, 3302, 4956, 6612, 8270, 9930?\nAnswer: 11592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -0.018, 12, 460?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/287 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 572701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 + 5*g. Let y = 1789 - 1807. Let x(z) = -24*z**2 + 18*z. What is y*w(h) + 5*x(h)?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4382 = -2*n, -3*n - 2*n = 5*x - 5480. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*((sqrt(2) + sqrt(12)\/sqrt(6))*2)**2.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(694 - 12*j - 478 - 469).\nAnswer: 24*j + 506","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**3 - 5*d - 725. Let q(y) = 2*y**3 - y - 4. Give -k(u) + 2*q(u).\nAnswer: -u**3 + 3*u + 717","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 0*r**2 - 154*r + 463*r + 8*r**4 + 2 - 155*r - 158*r - 3*r**2 as o*r + z*r**2 + d*r**4 + s*r**3 + k and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -180*-6\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 62. Suppose -3*a + 3*m = -3518 - 1210, -5*a - 3*m + 7896 = c. Suppose -3*r = 3*r - a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7680 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17853687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8033184102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -21\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -1 + (-2)\/(-1). Suppose 0*v - 20 = -u*v. Suppose -5*d - v*c + 18 = -c, 5*d + c - 12 = 0. Solve -2*r = -d*y - 4, 0 = 2*y + 3*y + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33802361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3161 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65495?\nAnswer: 5, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + p**3 - p**2 + 1 - 4*p**2. Let x(l) be the third derivative of l**6\/6 - 11*l**5\/30 + 11*l**3\/3 - 109*l**2. What is 44*u(r) - 2*x(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3573*k*o**4 - 267*k*o**2 - 146649*k*o + 8*k wrt o.\nAnswer: -42876*k*o**2 - 534*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0.4, -0.09, -0.07, -1\/2 in descending order.\nAnswer: 0.4, 0.05, -0.07, -0.09, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*t + 7. Suppose 4*h + 375 + 284 = 3*j, -2*h - 655 = -3*j. Suppose -t*y = 3*o - y - j, o = 2*y + 76. What is o rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16268*v - 38861 = 17303*v - 149606 for v.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21348 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 7*n**2 + 4*n - 8. Determine p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m**2 + 5*m + 418. What is b(0)?\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -26. Suppose y*k = 16 + 8. What is the second derivative of 7*x**4 + 3*x**4 + 6*x**3 - k*x**3 - 5*x wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43240822 + -0.11?\nAnswer: 43240821.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-20)\/(-2) + 3. Let y = n - 19. Sort y, -1, 1 in decreasing order.\nAnswer: 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2065777 in 0.3, 1.3, 0.5, -0.5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 48 = -8*i. Let y be 1973\/5 - i\/5. Suppose 5*d - k = -0*k + y, 5*k = 3*d - 232. Calculate the remainder when d is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*0.33.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 4*a - 301. Solve 2*s - a*l + 6 = -0*s, 0 = 3*s - 2*l + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10253*j*l**2 - 3*j*l + 441*j - 818*l**3 + 313 wrt l?\nAnswer: -20506*j - 4908*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 7*r - 9*r + 68, -5*g + 2*r + 292 = 0. What is the remainder when g is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*h + 68*h**2 + 61*h.\nAnswer: 68*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Let n be 49 - 0\/(2 - s). Suppose u - n = -11. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 43 = 2*n - n, -n = -3*m - 43. Calculate the remainder when 120 is divided by n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 135 + 119. Let o = n + -196. Let g = -27 - o. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 481082, 961044, 1441006, 1920968, 2400930?\n\"Answer: 479962*h + 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*x + 13 = -0*s, 0 = -5*s + x + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 3840427?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 84.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d2858 (base 16) in base 5?\nAnswer: -1224200243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 956564 + 18193436. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u, s - 5*u + 8 = 1. Suppose 5*x = s*k + 11, 1 = x + 3*k + 6. Solve 6 = d + x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 + 103. Let j(k) = 14*k**2 + 204. Give -2*j(v) + 5*u(v).\nAnswer: 2*v**2 + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/8*(-30)\/(-10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 1:21 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 3*a - 5. Let s(g) = 2*g**2 - 3*g + 1. Let d be s(4). Suppose -4*b = -b - d. Does 14 divide t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8318 = 29*k + 117*k - 449*k + 2590 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122301344 (base 5) in base 13?\nAnswer: 177687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*p = 19*p + 1131273. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 2*t. Let h(o) = -o**2 - 1. Let w(d) = -4*h(d) - q(d). Let b be w(-6). Is 9 a factor of (-1)\/(-2)*b + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3 - 2*w - 6 + 7*w**2 + 4 + w**3. What is the units digit of g(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from yyzywwzzglyzlllyg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 16*t**2 - 18*t - 14. Let x be z(9). Suppose 394*q = x*q + 11073. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.31*-30396\nAnswer: -495758.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*2*sqrt(70)*-6)\/(-6*((sqrt(490) + (sqrt(490)*-1 - sqrt(490)) - sqrt(490)) + sqrt(490)) + 4*sqrt(490)*2).\nAnswer: 36*sqrt(7)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 2*s + 0*s. Let b(t) = 23*t - 2*t**2 - 23*t. What is b(p(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.9471904 rounded to 2 dps?\nAnswer: -25.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -4\/5, 0.3, -23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**2 - 58 + 13 + 5 + 21.\nAnswer: 20*j**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)\/r)**(1\/3)*r\/(r**(-1)\/r)*r**(-10))**(-42) assuming r is positive.\nAnswer: r**(910\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-1\/15)\/((d**(-5\/2)*d)\/d**(-2\/19)) assuming d is positive.\nAnswer: d**(757\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -11163*g**3 + 385215*g**2 - 16310379*g\/4 + 27379323\/2 = 0.\nAnswer: 1007\/122, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7313 + 4665297.8\nAnswer: 4672610.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31967070 - -70133788. Let o = -18166719 + u. Suppose 5*g - 5*r - 19999995 = 0, 5*g - r + 0*r - o = 0. Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 46 = 9*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a + 4. Let h(f) = -3*f**2 + f**2 + 3 + 2*f + 4*f**2. What is h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51098539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/((-2)\/5 + 333\/270). Suppose -c - 3*i + p = 0, -3*c - 12*i - 14 = -13*i. Sort 17, -4, c in decreasing order.\nAnswer: 17, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = -2*x, -3*x - 2*n - 7 = 0. What is the tens digit of 11 + (2 - x) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 197230928 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13032 - 260709\/20. Suppose -177 - 1839 = 2*y. Let p = 6013\/6 + y. What is the common denominator of h and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**4 + 12*z**3 - 24*z**2 - 32*z = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/25)*n*n*n**(-14))**25 assuming n is positive.\nAnswer: n**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s*s\/s**0*s*s*s*s)\/s))\/s**2*(s*s**0)**(-2\/9))\/((s**(-5)\/s*s**(2\/7))\/(s**(2\/21)*s\/s**6)) assuming s is positive.\nAnswer: s**(-467\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f. Let k(z) = -1794*z - 1380. Let g(o) = -3*o - 2. Let s(q) = 690*g(q) - k(q). What is s(u(p))?\nAnswer: 1104*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 752194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 1. Let m(z) = -8*z - 10. Let d(s) = -2*s - 2. Let q(w) = 5*d(w) - m(w). Calculate -2*o(t) - 2*q(t).\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 47. Let s be 5*(2 + k\/25). Suppose -3*h - 6 = 0, 0*h + 92 = s*j + 2*h. Solve r = -2*b - 9, -2*b = -r + 5*r + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 (base 12) in base 7?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - 15*n**2 + 24*n - 63. Is l(-12) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2561784 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -48*v - 16. Let u(i) = 2*i + 1. Calculate 2*c(k) + 44*u(k).\nAnswer: -8*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 4*v**2 + 1. Let o be u(-4). Let x = 6 + o. Let m = 108 + -107. What is the highest common factor of x and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) -5\/2 (b) -3 (c) 2 (d) -3.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111528612 and 3276?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i - 3, -2*i + 1 = -a. Let d be 0\/(-6) - a*2. Let y(m) = -m**3 + 2*m**2 - m - 1. Does 10 divide y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*(1 - 11))\/(4\/(-2)). Solve -5*f + 7 = -n, -2*f = r*n + 2*f + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 7*k**2 - 5*k + 7. Determine v(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -23*w - 64, -3*d + 38*w + 6 = 37*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647*f + 696*f - 149107 = 0. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -396*u - 14270. What is h(-36)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5 (c) 67 (d) 158.7 (e) -1 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhhehehheheeheehhee. What is prob of picking 4 e?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x**2 - 5*x + 33. Let y be h(0). Calculate the highest common factor of 2178 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 131044*h**3 - 278036272*h**2 + 147477504784*h.\nAnswer: 4*h*(181*h - 192014)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3782 (base 15) to base 10.\nAnswer: 11822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22205 = 5*b + 4*q, -12*b - 3*q + 13320 = -9*b. Is b a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-15\/7)*p*p**10*p)\/(((p\/(p*p\/p**19*p))\/p)\/p*p*p\/p**(5\/8)*p))**(-46) assuming p is positive.\nAnswer: p**(8395\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 51408*k**2 - 1029360*k + 5148800.\nAnswer: 4*(k - 10)**2*(k + 12872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 284587401 a multiple of 2359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vava when four letters picked without replacement from {k: 4, e: 3, a: 2, v: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1267152 - 1267152 - 1721*r**2 to n + l*r**2 + p*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3902841 decades?\nAnswer: 46.834092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41699003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -267, 10, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 1. Suppose -3*q + 6 - 3 = 4*r, 5*q + 24 = 3*r. Let s(x) = 5*x**2 - 1. Let d(p) = r*s(p) + 4*c(p). Solve d(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 5*o - 8*o + 7*o - 1 as m + j*o and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13762113\/10 - 1373883. Let l = 3810 - 1488. Let d = l - o. Find the common denominator of d and -31\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 10}. Give prob of sequence aaaa.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 7*o - 6*o)*(0 + 3 + 0 + (3 - 2 + 0)*(0 - 2 + 3) + 0 + 1 + 1).\nAnswer: -72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*u - 94*u + u**3 + 46*u + 82 to a*u**2 + y*u + i + r*u**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89.3 and -3600.5?\nAnswer: 3689.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 8*n - 6*n + 1)*(30*n**2 + 254*n**2 + 27*n**2) to q*n**3 + d + s*n + h*n**2 and give q.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13058 divided by -6?\nAnswer: -6529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -0.5, -1.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*t - 38, 4*u = t + t + 20. Let z(y) = u - 2*y - y - 2 + 0. Does 17 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.07 - -9.47. What is the fourth biggest value in 1\/6, o, 62, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3 and 1.34.\nAnswer: -7.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7765754 to the nearest integer?\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207 - 136. Let o = 75 - g. Let b(f) = f - 4. What is the lowest common multiple of b(8) and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m**4 + 12*m**3 - 16*m**2 - 12*m = 0. What is m?\nAnswer: -1, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/5 + 2*h**3\/3 - h**2. Let q(k) = 28*k + 954. Let o(s) = 79*s + 2703. Let t(z) = 6*o(z) - 17*q(z). Calculate t(f(u)).\nAnswer: -24*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 8. Let w be s\/(-26)*(-2)\/3. Let q = -6.6 + 5.6. Is q equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, -55, -88, -83, -28, 89?\n\"Answer: 2*x**3 + x**2 - 76*x + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9620 and 3330?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 5*f = -6*c - 52, 0 = -4*c - f + 54. Is (156\/c)\/((-66)\/(-308)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -1. Let j(s) = -s**2 - 4*s - 4. Let c be j(o). Let r = 1 + -4. Sort 5, c, r in descending order.\nAnswer: 5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y - 95 - 23*y + 85 + 12*y - 2*y**2. Let u be z(-10). Let t be 0 + (3 - u - -1). What is the highest common divisor of 8 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1082 = 5*y, 0 = -b - 4*b - 4*y + 1825. Suppose -q = -4*q + b. Let i = q + -18. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20995867.\nAnswer: 17, 163, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1322975 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5 - -1) + 81 + -78?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1174948, -1174951, -1174958, -1174969, -1174984, -1175003?\nAnswer: -1175026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -9*o**4 + 40*o**2 + 45. Find the second derivative of a(g) wrt g.\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, j: 6, o: 1, e: 1, v: 8}. Give prob of picking 1 j, 2 q, and 1 e.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**2 - 18*p - 6. Let l be v(-4). Solve 0 = -l*i - 4, 2*i - 19 = -5*d - i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -668? (a) -2\/19 (b) 0.4 (c) 15 (d) 294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1512887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 - 30*p + 252. What is l(7)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -0.05 (c) 4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 3642.\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -33365?\nAnswer: 33354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Suppose 2*j = 5*t - 661, -418 - 104 = -m*t + 5*j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22037989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 15*t - 5. Let b be w(17). What is the second derivative of b*q + 2*q**3 + 4*q**5 - 2*q**3 - 10*q wrt q?\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 321 - 284. Calculate the remainder when u is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1357.494 + -1358.494. Let b = -52 - -125. Let s be b\/(-28) - (-1)\/(-4). What is the smallest value in 3\/7, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 987070819*j*x + 126288665*j - 3 wrt x.\nAnswer: 987070819*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -754, 0, 5, 4, -292 in increasing order.\nAnswer: -754, -292, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -29911 greater than -29911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**3 + 3\/2*d**4 - 9\/2 - 6*d + 3*d**2.\nAnswer: 3*(d - 1)*(d + 1)**2*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 + 5.8. Which is the second smallest value? (a) r (b) 1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2 + 120*a**4 - a - 60*a**4 - 5*a - a wrt a.\nAnswer: 1440*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-3 + (11 - 8)). Solve 0 = 3*u + 3, 0*j - t*j + 5*u + 23 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - 2*k**2)*(-298 + 606 - 98*k - 310)*(-k**2 - 5 + 5).\nAnswer: -196*k**5 - 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 1 + 1)*1\/(-2). Let v = 0.1 + -0.4. What is the biggest value in s, 0.3, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144466747 divided by -1501?\nAnswer: 96247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 135 + 61. Let d be (-4 - -7 - -5)\/(-10 + (-549)\/(-54)). Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/29094 and 38\/104067?\nAnswer: 2705742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4*l - 3*l)*(-6*l**3 + 7*l**3 + 3936*l**4 + 2493*l**4 - l**3).\nAnswer: 12858*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2.5. Let q = -1.94 - 0.06. Let j = -1.5 - q. Which is the nearest to 0.1? (a) 3 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u + u + 0*u + 9 - 7*u. Calculate y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8382360?\nAnswer: 2, 3, 5, 7, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 76 + 122 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 38.8778 centuries?\nAnswer: 46653.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/(4\/54). Let k be ((-9)\/12)\/(o\/32). Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000554278377 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2968 and 217756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 + -173. Put 0.1, 5, z, -5 in descending order.\nAnswer: 5, z, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 159, 192, 323, 606, 1095, 1844, 2907, 4338?\n\"Answer: 9*q**3 - 5*q**2 - 15*q + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274 - 2713\/10. What is the common denominator of l and (58\/(-20))\/(2 - 42\/15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37456427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 3052?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/917, -2\/23, -0.3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -652.337.\nAnswer: -662.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 2 + -2 - (-406 + 416).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/41? (a) 0.4 (b) 30\/23 (c) 0 (d) 3\/2 (e) -2\/7 (f) -38\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9082\/(-4)*6\/(-9) + (-575)\/345. What is the highest common divisor of 81 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1005736 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 42*g + 129*g - 19*g.\nAnswer: 149*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:02 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57466 - 37426 = -5*z - i, 56952 = 3*z + 3*i. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/13))**11*(n\/(n*n*n**9*n*n*n*n))\/n**2)**(-6\/5) assuming n is positive.\nAnswer: n**(1182\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009166 to 4 decimal places.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(-212)\/(-424).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 12 = -2*p. Suppose -49 = -p*o - 1. Let q = o - -15. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z + 2 = 0. Suppose z*r = 4*r - 14. Suppose -3*q = -5*f + 18, -3*q - 3*f = -q - r. Does -6\/7 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 437 and 28082?\nAnswer: 645886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359911472.\nAnswer: 2, 22494467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w - 528 - 282 = 0. Let y(d) = -32*d**3 + d + 1. Let c be y(-1). Let v = w + c. Solve 0*r + 20 = v*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000597476 rounded to 6 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/5 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109965*z - 219885*z - 1 + 109953*z + 2 - 1.\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 465 (b) -5 (c) -2 (d) -10 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 21, -4.\nAnswer: -4, -1\/4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m - 55. Let k(o) = -o + 5. Let f(p) = -65*k(p) - 6*v(p). Differentiate f(s) wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*m**3 - 21*m**3 - 49*m**3)*(m + 5 - 5).\nAnswer: -101*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 0 + 0 + (-3 + 3 - 3*y)*(-3*y**2 + 4*y**2 + y**2))*(-10*y - 5*y + 18*y + (4 - 1 - 2)*(3*y + 3*y - 5*y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70283 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 7. Let y(h) = -116*h - 7. Let k be y(-1). Let s(c) = 6 - 2 - 110*c + k*c. Determine 6*p(l) + 11*s(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1461 + 3103\/2. Let j = t + -90. Which is the closest to 0? (a) 0.04 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 8230.\nAnswer: 57610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 958086917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Suppose 0 = 5*n - 4*q - l, -n - 3*q = q - 15. Solve -n + 0 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16675\/1150*136\/(-34).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*r = 11, -312*r + 313*r - 1 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-119)\/(-21) + 4\/(-6). Suppose 2*u + 3*u - 15 = -2*t, 3*u = -3*t. Suppose -5 - o = u*p. Is p at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -923920125 by -8277.\nAnswer: 111625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*t + 26 + 61. Find the second derivative of 79*c - 23*c + 3*c**2 + 1151*c**t - 1098*c**3 - c**2 wrt c.\nAnswer: 318*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 0, -19, 2 in decreasing order.\nAnswer: 6, 2, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3\/7)\/s)\/((s*s\/(s*s**(-1\/7))*s)\/s))\/(s**3\/s**8))\/((s\/(s**(-2)*s))**(-2\/3))**(1\/14) assuming s is positive.\nAnswer: s**(53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 909 by 101.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, -8.3, -1\/99?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 27*q - 32 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 10\/7 (c) -2 (d) 0.5 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -11*l - 110. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 23 = 7*u - 2*u - 3, -95 = 4*z - 7*u for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) 2\/3 (b) -1\/4 (c) 3 (d) 20 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 472*b**3 + 767*b**2 - 98*b - 192.\nAnswer: -(b - 1)**2*(b + 96)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 0.3, -422, 2\/903?\nAnswer: 2\/903","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + f - 2. Let t be y(2). Let x be 14\/(t*(-3)\/(-6)). Suppose -2*d + 2*u - 4 = 0, -3*d + 5*u - 10 = -x*d. Is d < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9.1. Let o = -4.6 + 7.7. Let v = o + -0.1. Sort k, v, -2\/3 in descending order.\nAnswer: v, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -268 + 295.6. Let l = v + -174.6. Let h = 146.999913 + l. Round h to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4704*c**2 + 9006*c**2 - 4352*c**2.\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -470712*b**5 + 1102601*b**2 wrt b?\nAnswer: -28242720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.8596765 to two decimal places.\nAnswer: -10.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -359*u**5 + 4*u**4 + 190*u**3 - 5658750*u**2 wrt u.\nAnswer: -21540*u**2 + 96*u + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 134640*i**3 - 1510526154*i**2 - 3021456240*i - 1510795443.\nAnswer: -3*(i - 22441)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7677693 divided by 178551.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 47. Let d be x(-19). What is the highest common divisor of d and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -17. Sort 4\/9, d, 1 in decreasing order.\nAnswer: 1, 4\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6927?\nAnswer: 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*-3*(-2 + (sqrt(243)*1 + sqrt(243) - sqrt(243)) + -3))**2.\nAnswer: -7290*sqrt(3) + 21712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -209 - -699. What are the prime factors of (-32)\/10*r\/(-28)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970834107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/12 + 13*f**3\/6 - 6*f**2 - 2*f. Suppose -7*a + 48 = -3*a. Let n be y(a). What is the nearest to -0.1 in n, -0.5, 0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5375 divided by -11967\nAnswer: -5375\/11967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -22. Suppose -2*y + b = y. Suppose -3*v + y*k = -37, 4*v + 4*k - 2*k = 32. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4413911*g. Let a(h) = -96*h. Give a(f(s)).\nAnswer: 423735456*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 120?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502572.8 meters to millimeters.\nAnswer: 502572800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - 1.85. Let i = 2 - k. Let w = i + 0.2. Which is the smallest value? (a) 5\/3 (b) 0.8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17435233.8us in days?\nAnswer: 0.0002017966875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2465\/435*3\/(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 59*v + 9. Give n(-26).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-4)\/((-16)\/12). Suppose -v*w - 8*w = w. Suppose 9 = s + y + 6, w = -2*s + 5*y - 15. Sort 5, -4, s, -10 in descending order.\nAnswer: 5, s, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*n - 9 + 1, -4*n + 8 = -2*f. Suppose 216 = -0*c - 3*c + q, f = 4*q. List the prime factors of ((-3)\/2)\/(27\/c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5105*g*v**5 - 5*g*v**4 + 1236*g*v**2 + 10*g wrt v.\nAnswer: -306300*g*v**2 - 120*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -27*u - 2. Suppose g - 11 = 3*b, 0 = b + 3*g + 6 + 11. Let i(k) = k**2 + 6*k. Let c be i(b). Is v(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(275 + 332 + 143)*(3*c + 3*c - 3*c).\nAnswer: -4500*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72984155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.024+-58334\nAnswer: -58334.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.008 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136538.\nAnswer: 2, 233, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.1. Let i = 208 + -211.52. Let o = i - 0.48. What is the nearest to x in o, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -21. Find the third derivative of -s**6 - 6*s**c + 2*s**2 + 28*s**2 wrt s.\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2688 < -0.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 11005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 - 101*i**3\/3 + 722*i**2 + 6588*i + 5832.\nAnswer: (i - 54)**2*(i + 1)*(i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 * 0.054\nAnswer: -1.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680540895 divided by -75615655?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 4\/3, -5\/11, 0.3, -5?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*d - 2 - 18. Suppose x - 7 = -2*v, -2*x - d*v + 7 = -5*v. Solve 0*u = x*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5709 divided by 1?\nAnswer: 5709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001914245 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000837354794 to six dps.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2153 is divided by 1525.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Solve z = -5*u + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 11. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5168 or 0.18?\nAnswer: -5168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, -2\/11, -0.71, -583\/2, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.152802 + -0.260902. Let w = 4.9 + 10. Let b = z - w. Round b to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {l: 2, n: 1, e: 1, b: 3, z: 1, f: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is -221598 != -221599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-360)\/35 - (-136)\/378?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5\/5 + 94*r**4\/5 - 1324*r**3\/5 - 2496*r**2\/5 + 16704*r\/5 = 0. Calculate r.\nAnswer: -58, -4, 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 32*c. Let o(x) = -4069574*x**2. Give o(a(i)).\nAnswer: -4167243776*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1049*r + 1049*r - 11*r**3 + 2 - 6 as j + y*r + p*r**3 + x*r**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*h**2*v**2 - 2*h**2 - 4309*h*v**2 + 36253*h + 2*v**2 + 2*v wrt v?\nAnswer: 30*h**2*v - 8618*h*v + 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -462, -467, -474?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-5 + -1*sqrt(13) - (sqrt(78)*1)\/sqrt(6))*-3)**2 + 2 + ((sqrt(91)\/sqrt(7) + sqrt(13))*6 + -4)**2).\nAnswer: -10332 - 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (-36)\/(-8) - 1\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, d: 4, y: 1, x: 4, c: 3, o: 1}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002410033 rounded to 5 decimal places?\nAnswer: -0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 0)*(3*g**3 - 8*g**3 + 3*g**3)*(88 - 88 + 17*g)*(6 + 0 - 4).\nAnswer: 340*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*1*sqrt(55)*-4)\/(sqrt(176)\/sqrt(4) + sqrt(110)\/(sqrt(20)\/sqrt(2))).\nAnswer: -2 + 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgw when three letters picked without replacement from {w: 3, j: 2, g: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -516.2?\nAnswer: -516.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/8)\/((-2)\/8). Let u = f + 1. Let b = u - -8. Let m(g) = g**2 + g + 1. What is m(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2\/5*o**2 - 263538\/5 + 1452\/5*o = 0.\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 50423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 4*f - 5. Let g(b) = -b**3 - 19*b**2 + b + 25. Let i be g(-19). What is z(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:12 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5035101 + -7125101. Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 2. Suppose -2*j + 5*j + 145 = 5*x, 0 = -x - 4*j + 52. Let i be (-9)\/(-4) + (-8)\/x. Determine t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-13 - (23 - 63)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1575 and 209.\nAnswer: 329175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 2. Suppose 3*a - 11 - 28 = 0. Let j = a - 8. What is the remainder when g(j) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11188, 22726, 34620, 46870, 59476, 72438?\n\"Answer: 178*w**2 + 11004*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 + 1 = 0. Let d be (t - 6)*(-2 + 1). Sort -2, d, 0.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3)\/((-14)\/(-4)) - (31 + (-101948)\/3332).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005389 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -13\/1094?\nAnswer: -13\/1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -a?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (36\/(-10))\/((-9870)\/(-1100) + -9) is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 * 131\nAnswer: 11135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.93693 centuries in millennia?\nAnswer: 2.493693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95510.6 times -7?\nAnswer: -668574.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2. Let y(p) = -14312*p**2. What is v(y(b))?\nAnswer: 409666688*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*f - 7. Let u be 5 - f - (-5)\/(-5). Solve -15 = u*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 2*x**2 - 2*x + 1. Calculate the lowest common multiple of v(1) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220314 and 685086?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176502 + 176119 - 528749 + 176128 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2 + 2 + -167 + 171 + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2413, -2402, -2393, -2392, -2405, -2438?\nAnswer: -2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 2. Let m be i(-9). Let t(k) = k**3 + 10*k**2 - 11*k + 12. Let p be t(m). Let u be (-50)\/12 + 2\/p. Let o(g) = g**3 + 4*g**2 + 2. What is o(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125\/3*o**5 - 8\/3*o + 52\/3*o**2 - 30*o**3 - 25\/3*o**4 + 0 = 0. Calculate o.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 81*z - 2731. Let x be (0\/(-1))\/(0 + 2). Suppose 4*n - 5*t - 45 = x, t = -3*n - 2*t + 27. What is the lowest common multiple of n and q(-22)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*t + 5. Let h = 8 - 9. Put t, 3, h in decreasing order.\nAnswer: t, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 2. Let x(h) = 1. Let r(n) = -5*x(n) - z(n). Let q(o) = 1. Let d(a) = 4*q(a) - r(a). Suppose -19*k - 30 = -24*k. What is d(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5156*l + 103198. Calculate d(20).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.27098cm in kilometers?\nAnswer: 0.0004027098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -2\/5 (c) 186 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 75*v**3 - 226 + 123\/2*v**2 + v. What is the second derivative of i(j) wrt j?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = n + 9, 4*y + 4*n = -28. Let q = -3 - y. Suppose -q*t - 3*t + 12 = 0. Solve -5*b - 4*a = 18, -3*a = -t*b - a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 62 (b) 3\/7 (c) 1\/4 (d) 2 (e) 60\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 64. Suppose -1 = r - 3*t, t + d = 5*r - 0*t. Solve 13 = -r*l + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405)*-2 - sqrt(405)))*5 + -2 - (sqrt(405) + 0 + -5)*-1)**2.\nAnswer: -2646*sqrt(5) + 178654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -7*t**4\/12 + 2*t**2 + 8*t. What is the first derivative of b(l) wrt l?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964952506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*d - 15. Let n(o) = 5*o + d*o - 4*o - 6*o. Let t(f) = 6*f**2. Calculate t(n(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 10.905?\nAnswer: 10.905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-66)*77\/((-15015)\/702)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*d + 2548 = 238. Suppose -2*r + 3*y = -76, 4*r + 2*y = 7 + 113. Let j = r + d. Let g(b) = 2*b**2 + b - 4. Let l(p) = p**2 - 1. Give j*l(v) + g(v).\nAnswer: -v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 99*w**2 + 1042*w - 203. Determine f(-87).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 23 = -u. Suppose 16*v + v = 5*v. Suppose v = -4*f - 51 + 63. Solve -f*q + u = 2*m, 3*q - 5*m - 5 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 13*m - 10. Let x be t(12). Let w be (2 - (x - 3)) + -8. Let p(d) = -d**2 - 7*d - 6. Give p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -119*d**3 - 11*d**2 - 7*d + 4. Let p(g) = -3*g**3 + g**2 + 1. Let r(x) = -4*p(x) + s(x). Find the third derivative of r(q) wrt q.\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -580540 smaller than -5224865\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-four fifths of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 153 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031279158 rounded to six decimal places?\nAnswer: -0.000313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 34*l**7\/105 - l**5\/20 - l**4\/12 + 43*l**2 - 2. What is the third derivative of h(o) wrt o?\nAnswer: 1632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5897*q**3 - 5896*q**3 - 5905*q**3 + 23581*q**3 - 5894*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154052821007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*14*108\/(-126)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5\/h)\/h*h**(-1\/3))\/((h*h**(-3)*h)\/(h\/(h*h*(h*h\/h**(-3\/5)*h)\/h*h))) assuming h is positive.\nAnswer: h**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -47. Let y = -154 + 54. Let a be ((-6)\/(-4))\/((-15)\/y). Calculate the highest common divisor of k and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -438, -968, -1720, -2700, -3914?\nAnswer: -5368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/45 and 97\/100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/396 and 113\/1548?\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/6*(-1)\/(-5). Let j = 7.09 - 7.09. Which is the nearest to j? (a) 3\/2 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:21 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8178378?\nAnswer: 2, 3, 13, 104851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(132)*2 - sqrt(132))*-6)\/(((3*sqrt(432))\/sqrt(9))\/sqrt(4)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79457120 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-296)\/10)\/(-37))\/(14\/(-5))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(51)\/sqrt(3) + (2*sqrt(119))\/sqrt(7))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*j + 160*j + 0*j + 11115 = 63*j for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 306 = -0*v. Let x = -71 - v. What is the remainder when 182 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114956.303 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1270295633 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 540\/217 - 41\/93. Calculate the common denominator of r and -68\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152)\/sqrt(8))**2 + (-4*sqrt(114) + sqrt(114))\/sqrt(6).\nAnswer: -3*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 + 7*r + 5. Let w be g(-2). Suppose -x + 20 + 6 = -3*h, 0 = 3*h - w. Put -1, x, 5 in ascending order.\nAnswer: -1, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c. Let d(x) be the second derivative of -x**4\/12 + 184*x. Calculate f(d(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100392084?\nAnswer: 2, 3, 13, 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (1 - 2) + (14 - 17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 9*a**2 + 18*a + 4. Is 38 a factor of l(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 19 - 38 - 33*p.\nAnswer: -33*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*k**2*q**4 - k**2 + 57*k*q*y**2 + 19*q**2*y**2 + 2*q*y**2 + y wrt q?\nAnswer: -252*k**2*q**2 + 38*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 414 - 399.45. Let c = 1.05 + d. Let u = -15.671 + c. What is u rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58.7398 from 312.\nAnswer: 253.2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -182422, -364860, -547308, -729766?\n\"Answer: -5*s**2 - 182423*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*c + 8*c = -480775, -5*c + 384581 = 4*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(77)\/(sqrt(44)\/sqrt(4)) + 3 + sqrt(35)\/sqrt(5) + 0.\nAnswer: 2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2 + 5*z + 6. Let s(k) = -4*k + 5*k - 19 - k**2 + 20. Calculate 6*s(o) - v(o).\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1043264, -2086601, -3130016, -4173503, -5217056, -6260669, -7304336?\nAnswer: -8348051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738576791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-11\/8)\/(j**12)**(-5\/9) assuming j is positive.\nAnswer: j**(193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 180, 590, 1384, 2688, 4628?\nAnswer: 7330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 39317b?\nAnswer: 393178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 64. Suppose -74 = -3*r - 2*j, -5*j + 0*j = -r + 36. Suppose -3*u + d = -r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(76) - (sqrt(76) + -1)) + -1 + sqrt(76) + -4)**2*5.\nAnswer: -80*sqrt(19) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/215280 and -15\/9472.\nAnswer: 127445760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstssssjdtdjsstt. Give prob of sequence td.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.047 + -0.047. Do g and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76090151 divided by -1.\nAnswer: -76090151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16613.\nAnswer: 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 5:41 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*q + 74, 7*q - 154 = 3*q + 3*z. Suppose -49*o = -57*o + q. Suppose l = -3, o = t + l - 2*l. Solve 0 = -t*i + 5*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaaxaeihiiaeiaeii. Give prob of sequence heee.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -87.999992. Round c to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 1\/20*r**5 + r**2 + 0*r - 2\/5*r**3 + 1\/5*r**4 + 0. Factor f(u).\nAnswer: 3*(u + 2)*(5*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1493919 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*n - 4*k + 40, -4*n - k = -49. Let i = -8 + n. What is the smallest common multiple of i and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*z - 20 = 0, -356 + 374 = -3*y + 3*z. Let o(h) = 9*h**2 - 4*h + 3. Give o(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 6*i + 8. What is the least common multiple of 1 - 3 - (1 - 14) and j(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/3)*r\/(r*r*r**2*r)*(r**(1\/7)*r)\/r*r**(-1\/3)\/r assuming r is positive.\nAnswer: r**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.9453 + -8.9253. Let f be 15*((-4)\/(-6) - 0). Which is the closest to -1? (a) 0.1 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-6))\/((-73)\/((-4380)\/(-40)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j = 106 + 129 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.146 + 1.046. Which is the closest to -0.4? (a) 2 (b) -1.2 (c) -1\/4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1) + (-27)\/(-3). Let w(o) = 1 - 1 + 2*o**2 - l*o**2. Let u(h) = h + 4. Let z(c) = 1. Let j(r) = u(r) - 4*z(r). Give j(w(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 plus -0.005?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8*17\/(136\/32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1373 = 2*p - 4*y + 2746 - 1415, -4*p + 3 = y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 1\/24*r**3 + 1\/48*r**4 + 0 + 4*r + 0*r**2. Factor a(n).\nAnswer: n*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -271*r**2 - 2170*r + 9. Calculate the remainder when 396 is divided by p(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83410 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 10*v = -9. Sort 10, 0, v in descending order.\nAnswer: 10, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.448493 and -358.750704.\nAnswer: -358.302211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 472, 724, 996, 1294, 1624, 1992, 2404?\nAnswer: 2866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -14*g + 2. Let w be g - ((1 - -2) + -287). Suppose 0*q + 58 = l - q, 5*l - 3*q = w. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1048 and 617796?\nAnswer: 1235592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 8}. Give prob of sequence zz.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:16 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628545.3 microseconds in hours?\nAnswer: 0.00100792925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwtw when four letters picked without replacement from twttqttwtwqtwttwwt.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-16 - -1))\/(1\/(-21))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 77.27745, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(u\/u**(1\/4)))\/(((u\/(u\/u**(-2\/3)*u))\/u)\/u)**(-33)*((u\/(u\/(u*u*u*u**2\/u*u)))**(-4\/17))**(1\/5) assuming u is positive.\nAnswer: u**(-7887\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - sqrt(24)\/(sqrt(8) - sqrt(512)) - sqrt(15)\/(1*sqrt(5)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = 2*s + 5*g - 72, -9978*s = -9982*s - 4*g + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.291 + -0.009. Let i = 20 + -20. Let w = -8 - -12. What is the closest to i in w, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1901898cm in micrometers?\nAnswer: 1901.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/360 and (15\/6)\/((-110)\/(-33))?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931786803.\nAnswer: 3, 1601, 64667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -110 - -85 - -44\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*l + 1 = -54, 4*g - 3*l - 289 = 0. Calculate the highest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 5*j**2 + j - 5. Let l be z(5). Let w(y) = -y**2 + 220*y - 4354. Let f be w(198). Solve l + 2 = f*v - k, -5*v - 4*k = -18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(57)\/sqrt(3) + 4) + -3.\nAnswer: -6*sqrt(19) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 3, -1\/2, 1.2, -6\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-39))\/(1110\/(-312650)).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 6. Calculate the remainder when d(7) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (4 - 6) - (1 + 0)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 2. Let i be d(-7). Suppose 2*l - i = -l. Solve -l*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15242, 20942, 26642, 32342, 38042, 43742?\nAnswer: 49442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1936 by -1936.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8606506957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36772.\nAnswer: 2, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 298 + 62 = 0. Solve 5*b - o = 7*m - 3*m, 0 = -b + 5*m + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4292*q**2 + 3*q. Let g(y) = -18*y. Calculate p(g(w)).\nAnswer: 1390608*w**2 - 54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) - (sqrt(1008)*2 + 0))) + sqrt(700)*-1*-4)**2 - (5 + 1 + sqrt(700) + (sqrt(700) + (sqrt(700) - (0 + sqrt(700))))*5)**2*-6.\nAnswer: 4320*sqrt(7) + 180088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 - 385543782*o\/7 - 12387000653238627\/7.\nAnswer: -3*(o + 64257297)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*u + 27 = 0, 172*i - 5*u + 8 = 161*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6 - 42. Calculate the highest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 2:33 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*a**2*d**2 - 461580436*a**2 + 127771*d**2 wrt d?\nAnswer: 28*a**2*d + 255542*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 + 5. Let j = t + -2.5. Which is the third biggest value? (a) j (b) -2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87839\/4948 - -3\/1237. Find the common denominator of 83\/2 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*((-920)\/12)\/5. What is the tens digit of 6*n\/3*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 - 21*u + 21. Let q(g) = -g**2 + 2*g - 2. Let c be (-1250)\/100*(2 + (-2)\/(-5)). Let b be (-44)\/20 + (-6)\/c. Give b*w(n) - 21*q(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4350 divided by -435?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -75, -159, -317, -573, -951, -1475, -2169?\nAnswer: -3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 2*b**2 + 5. What is the remainder when q(-5) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7267 - -7275. Solve 88 = -10*i + g for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -515, -1039, -1563, -2087, -2611, -3135?\n\"Answer: -524*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h - 1473. Give w(-157).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 1080*v + 2148 = 0. Calculate v.\nAnswer: 2, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 1. Let f be p(0). Let r be 9 - 13 - f*175. Calculate the greatest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 0, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/5 - 3614898*q**2 - 27223914322176*q\/5 + 54447900942336\/5.\nAnswer: -3*(q - 2)*(q + 3012416)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (435\/436 - 1)*3\/6. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -487, -3, 1863, -5.\nAnswer: -487, -5, -3, 1863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1097 (base 12) to base 7.\nAnswer: -5242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 386 - 442 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d + 23. Let p(u) = -13*u - 20. Let v(b) = 3*p(b) + 4*s(b). Let z(h) = 2*h**2 - h + 1. Let o be z(3). What is the tens digit of v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2858, 2857, 2856, 2855, 2854?\n\"Answer: -o + 2859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613240?\nAnswer: 2, 5, 31, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 810 * 7.6\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*g = 2*i - 32, i - 4*g + 8 = 0. Suppose 4*c - 3 = 1, -3*f - i*c + 271 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 45. Solve 3*i + 5 = -t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 875113.4 hours?\nAnswer: 3150408240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -106 + -2388?\nAnswer: -2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 - 257.9. Let b = 12 - 11.3. Let q = r + b. What is the closest to 0 in 6\/5, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115220 by 28805.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**3 + 12*k**2 - 25*k + 24. Let p(u) = -u**3 + 2*u**2 - u. Let t(j) = -f(j) + 5*p(j). Solve t(l) = 0 for l.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -2*c**4 + 24*c + 3\/20*c**5 + 0*c**2 + 0 + 0*c**3. What is the third derivative of x(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**3*p + 4*o**2 + 995*o*p**3 - 3*p**3 + 187 wrt o.\nAnswer: 6*o**2*p + 8*o + 995*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-v + 1 - 1)*(0*v**4 + 0*v**4 - 2*v**4 + (-5*v**2 + 3*v**2 - v**2)*(0*v**2 + 2*v**2 + 0*v**2)).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-792)\/(-1100) + (-8)\/10)*5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*m + 1 - 2 = 0, p + 417 = 4*m + 410 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32236, -64426, -96604, -128770, -160924?\nAnswer: -193066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/6*112\/(-80)*-18. Let j = b + 63. Calculate the remainder when 60 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*a - 2100 = 0, 0 = -3*y - 2*a + 4*a + 1260. Is 42 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -4 - (11 + -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 - 160.08. Let a = k - -0.08. Let t = a + 0. What is the second biggest value in 1\/4, t, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/42)\/((-130)\/(-1677)) and -94\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/3 and 25\/20397.\nAnswer: 20397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**3 - 7440*z**2 + 139988*z - 132552 = 0?\nAnswer: 1, 18, 1841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56385 - (48\/40)\/(12\/(-100))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1846575696 and 1846575694 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 - -112. Let n(y) = -4*y + y**3 - 2 + 1 + 9*y + 7*y**2. Let t be n(o). Solve 0*h - t*l - 10 = 2*h, 3*l + 32 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + b - 9. Let p be r(-3). Let f be ((-18)\/2)\/((-7)\/p). Let c = f - -35. What is the smallest common multiple of c and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c + 0 + 2 - c**2 - 10 + 3. Calculate s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53045 is divided by 214.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 + -0.2027.\nAnswer: 1.8973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.327 - -1.923. Let d = y - 2.75. Suppose -2*i - 13 = -f, f + 3*i - 3 = -2*f. What is the nearest to 2 in -12, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/2, 14058, -2, -1\/5, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:23 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.06 + -0.06. What is the second smallest value in -1, 2\/17, 1\/2, o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286 - 284.7. Is p < -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2079 - 2080. Let v(x) = -x**3 - 1. Let g(c) = -17*c**3 + 6. Give q*g(i) - 6*v(i).\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5153 and 51?\nAnswer: 262803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.038 times 153\nAnswer: 5.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (15 + -8 + 4 + 28241). Is -28251 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 7*a**2 - 4*a**2 + (-6*a + 4*a + 3*a)*(-5*a + 3*a + 0*a) + (a - a + a)*(2 - 4 + 0)*(2*a - 1 + 1).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*o + 522*o - 14131 = 879*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 5a6bb?\nAnswer: 5a6bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2972 = -2*o + 2948 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74359768?\nAnswer: 2, 7, 17, 19, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and 447533.\nAnswer: -805559.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 731*t + 23278. What is x(-32)?\nAnswer: 2958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114233034134 - 10?\nAnswer: -114233034144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -454*b**4 + 40065 - 40065 + 2*b**4 - 3*b**4 + 0*b**4 + (-1 + 1 - 2*b)*(-3*b**3 + b**3 + 0*b**3) + 2*b**4 - 5*b**2 + 5*b**2.\nAnswer: -449*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*j + 16, -2 = b + 2. Factor 3*w**4 - 19*w**2 + 36 + 29 - 17 - j*w**2.\nAnswer: 3*(w - 2)**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4*j**3 + 3 - 11.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110101100111000010 (base 2) to base 5.\nAnswer: 1011221334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 250, -299, -848?\n\"Answer: -549*s + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -512 + 510. Which is the closest to i? (a) 5 (b) 2 (c) 0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.31 - 7.7. Let x = j + 0.39. Let d = 5 - 8. Which is the closest to x? (a) 1\/2 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 780*i**3 - 13*i**2 - 12*i - 472641 wrt i?\nAnswer: 2340*i**2 - 26*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 17. Let k(d) = 13*d**2. Let a be k(-1). Let s be q(a). Solve s + 8 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 84 = -7*j. What are the prime factors of 6\/j + 489\/21?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 119*n - 838. Give i(-66).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 - 3721?\nAnswer: -3608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 28472 = -654*z + 651*z, -4*w - 20 = 0. List the prime factors of z.\nAnswer: 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 747109*n*v**3 - 3*n*v**2 - 325*n*v - n + 14*v**2 + 3*v wrt v?\nAnswer: 4482654*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -343 (base 10) to base 15.\nAnswer: -17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 + 194*k**3 - 1110*k**2. Let r(j) = -2*j**2. Give r(m(g)).\nAnswer: -2*g**4 + 4656*g**2 - 2709792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 201*b - 6648. Give a(33).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*z = 173 - 193, 2*z = -3*c + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 0*w**2 + 6*w + 156 + 0*w**2 + 5*w**2.\nAnswer: 5*w**2 + 6*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1081 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177835 divided by 591?\nAnswer: 3685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26837735 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.2. Let c = 1.3975 + -1.2. Let f = s + c. What is f rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220110 (base 3) to base 8.\nAnswer: -2555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4706 + -3266. Let d = 1869 - 1062. Let r = o - d. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 9 = -k + 8*i - 11*i, -i + 0 = 3*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -14*i - 9. Which is the nearest to -1? (a) -4 (b) i (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*f**2 + 337*f**2 - 178*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -341254*g**2*w + g*w + 62287*w wrt g?\nAnswer: -682508*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 2*z**6\/15 + 9*z**5\/5 + 7*z**4\/3 - 6*z**3 - 16*z**2 + 42*z + 4. Factor a(l).\nAnswer: 4*(l - 1)*(l + 1)**2*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 3:41 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 725.7 or 1?\nAnswer: 725.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2388320 divided by -55?\nAnswer: 43424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -5, 31.82?\nAnswer: 31.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6348250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3443 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.19, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*f = -2, w - 7*f - 27 = -2*f. Differentiate c**3 + 17*c**3 + 34 + 3*c**w - 6*c**3 wrt c.\nAnswer: 36*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710373.9 rounded to the nearest 10000?\nAnswer: -1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1224777311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34443118.\nAnswer: 2, 467, 36877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 68 + 19*s + 10*s - 30*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821.\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(-117)\/144*104\/6. Does 26 divide ((-56)\/98*-14)\/(1\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 4)*7*32\/28. Sort -4, v, -8 in ascending order.\nAnswer: -8, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 313*k**2 + 9*k + 2532. Determine r(-313).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/78))**(2\/85) assuming j is positive.\nAnswer: j**(-1\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 h, and 1 n when four letters picked without replacement from hhlhhnhppnlhn.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*o = 0, 4*a + 2*o + 24 = -0*o. Let z be a + 1*(3 + 1). Suppose z = l - 2 + 1. What is the highest common divisor of 9 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 3*z + 12)*(0*z**4 + z**4 + 0*z**4 + (-3*z - 3*z + 7*z)*(-z**2 - 2*z**3 + z**2) - 2*z**4 + 2*z**4 - 2*z**4).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from ppppppppprppppppppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**3 - 2*o**2 - 3*o + 2. Let w = 18 + -39. Let h = 2 - w. Calculate the remainder when z(2) is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -5*w**4\/4 - w**2 - 9088*w. Let f(g) = 25*g. Calculate f(u(k)).\nAnswer: -375*k**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37766 is divided by 2217?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (68\/(-272))\/((-6)\/12). Let r(x) be the second derivative of -m*x**3 - 21*x + 1\/2*x**2 + 0. Let h(u) = -u. Calculate h(r(g)).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + 56. Is 40 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1086*a**3*x + 50*a**2*x - 2*a*x + a - 365*x + 1 wrt a.\nAnswer: -6516*a*x + 100*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3)*(d - 3*d + 0*d + (0 + 0 + 3*d)*(3 - 2 + 0)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25860 greater than 27955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (196\/(-6) + 3)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23514577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(432))**2 + (3*-3*sqrt(432))**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28576268?\nAnswer: 2, 7, 433, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.24447 - -0.06553. Let v = -49 + m. Round v to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4558 and 150367\/33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1*2)*10 + 41013268\/4092131?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 0 (c) -0.4 (d) 89.746 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597 - 573 = t + 4*o, o = -2*t + 13. Let u be -1 + -3 + (-2)\/(-2). Sort 3, u, t, -1.\nAnswer: u, -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43674.\nAnswer: 2, 3, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 4 - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -0.2 (c) 4\/9 (d) -65 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001768 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + -124. Which is the nearest to 10? (a) -9 (b) -3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*z - 1569 - 9491. Let g be 2\/(-7) - (-998)\/14. Which is bigger: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 61. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-36) + 112\/18. Suppose 0 = -f*u + 5*u + 2. Suppose 0*d = u*d - 28. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-629884)\/8164 + 77 + 1*(-5)\/13*-1.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 7.7. Let j = k + 4.7. Let n = -42.4 - -42. Which is the closest to 1? (a) n (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57\/38*(5447\/(-195) + 0 + 9\/15)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -149 (b) 3 (c) -1.4 (d) -0.014 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:24 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - 2*b)*(854*b**2 - 228*b**2 + 610*b**2)*(4 + 0 - 3).\nAnswer: -2472*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22.4, 224, -0.1?\nAnswer: -22.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 388 = z - 5*j, 0 = 2*z - 5*j - 204. Let b = z - 71. What is the remainder when 37 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (2 - 2)) + (-21 - -37) + 5 + 50?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 + -90. Let h be 24\/a*6\/9. Factor 2\/11 + h*g**2 + 4\/11*g.\nAnswer: 2*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d**5 - 615*d**4 + 885*d**3 - 65*d**2 - 240*d = 0. What is d?\nAnswer: -3\/7, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 5*k**2 - 113*k + 351. Calculate s(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/25*(-946)\/44?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30724713*b**3 - 428*b**2 - 10*b + 419?\nAnswer: -184348278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 5:43 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183558?\nAnswer: 2, 3, 30593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -93*z + 94*z - 26, 2*z - 13 = -3*l for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2684 + 2681. Let d(w) = 2*w**2 - 1. Let u(y) = y**3 + 2*y**2 - 1. Determine l*d(i) + 2*u(i).\nAnswer: 2*i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 + -564\/5. Let g = -43 - -42. What is the closest to g in x, 0.5, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q**2. Let s(c) = -6*c**2 - c + 3. Let i(g) = 104*g**2 + 4*g - 12. Let n(v) = -2*i(v) - 8*s(v). Give l(n(b)).\nAnswer: -256000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4862590 (base 10) in base 9?\nAnswer: -10131187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101848 is divided by 1958.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Let y = -6 + g. What is the smallest value in y, 2\/13, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)\/(3\/(-6)). Let k be (3\/t)\/(24\/16). Solve d + k = 3*a, 0*a = -4*a + 3*d - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131156.\nAnswer: 2, 32789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = 4*d, d + 10 = 2*k - 0*k. Let y be -23*(k - (2 - -4)). Let v = y + -44. Let j(b) = -b**3 + 3*b**2 - b - 1. What is j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 22.43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26881 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 9:21 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2. Let s(g) be the second derivative of 11\/6*g**3 + 0 + 11*g + 0*g**2. Let r(n) = -10*n. Let h(v) = -4*r(v) - 5*s(v). Calculate h(y(f)).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 1869452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103 by -50.\nAnswer: -103\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 1:31 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8576255 to the power of 1\/2, to the nearest integer?\nAnswer: 2929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose -5*j = -57 - w. Suppose 5*o = 82 - 22. What is the highest common factor of j and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3557598525 take away 243?\nAnswer: -3557598768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26e (base 15) in base 8?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*(-11)\/(770\/(-40))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5275975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -39*r + 36*r + 3*a, 0 = 2*a - 4. Suppose 4*z - 35 = -u, -2*u - 3*z - z + 90 = 0. What is the highest common factor of r and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12701 = 51*s - 160546. Calculate the highest common factor of s and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q, x + 2*q = -0*q - 1. Let d(j) = -j**3 + 5*j**2 + j - 3. Is d(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -j - 0*j + 24795, 3*v + 5*j = 18592. Let x = -11299 + v. What is x rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 160, -4, -0.14?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 7. What is g(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by 4.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 2*r - 4*r**2 - 2*r**3)*(-9*r + 9*r - 4*r**2).\nAnswer: 8*r**5 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20471, -42000, -63529, -85058?\nAnswer: -106587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -53*q**6\/5 - 33*q**4\/4 - 206*q - 2. Find the third derivative of a(j) wrt j.\nAnswer: -7632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 7*u - 4. Let v be n(-6). Suppose 15*h + 14*h = 32*h. What is the units digit of h + -3 + v + 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 - 5636 = -11*v. Let l = v - 500. Calculate the lowest common multiple of l and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6303 or 6350?\nAnswer: 6303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 - 126. Calculate the highest common divisor of 266 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.47 - -3. Let y = 0.07 + j. What is the third smallest value in -5, y, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**4 - 36*p**3 - 34*p**2 + 2. Let a(o) = 6*o**4 - 11*o**2 + 22*o + o - 23*o + 77*o**2 - 5 + 72*o**3. Let n(x) = -2*a(x) - 5*u(x). Factor n(t).\nAnswer: -2*t**2*(t - 19)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Suppose -3*m + 32 = 2*i, -2*m = -j*m + 4*i - 8. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21636 - -34709. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -2412?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*m**2 - 8*c*m + 2*c + 6*m**2 - 3*m - 38226 wrt m?\nAnswer: -2*c*m - 8*c + 12*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -338102\nAnswer: -10143.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 - (-8 + 18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 34 = -5*f. Let h = f + -4. Let l be -2 + (-36)\/h + 228\/14. Solve 4*v - 24 = 2*s, 4*s - 1 = -5*v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99*m**2 + 169?\nAnswer: 198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1069 * -4.\nAnswer: -0.4276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46695, 188373, 424499, 755073, 1180095, 1699565, 2313483?\n\"Answer: 47224*x**2 + 6*x - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23732500037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**7\/6 + c**3\/3 + 3*c. What is the second derivative of a(b) wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -538 + 532.44. Let z = 5.5599655 + x. Round z to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/1697, 3\/8, -3\/5, 3?\nAnswer: 1\/1697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((4 - (0 + 2)) + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5050169 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(27\/(-141)) - (-4)\/(-18). Suppose 0 = -2*v - 3*v + 15. Sort -2, p, v.\nAnswer: -2, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 46*l**2 - 93*l + 1. Let u be d(2). What is the nearest to -134 in 2\/9, 0.2, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**21*q**(-4\/7))**(-24\/11))**(-4) assuming q is positive.\nAnswer: q**(1248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -5241?\nAnswer: 20964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1903*q + 11221 = -2132*q for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.293863 micrometers in nanometers?\nAnswer: 293.863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55565, 111126, 166683, 222236, 277785, 333330, 388871?\n\"Answer: -2*w**2 + 55567*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2 - 538444*v - 36240242642 = 0.\nAnswer: -134611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -155 (c) 0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 - 11 - (107 + -98)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 4*z - 3*z + 7*z. Let f(s) = -85*s + 1. Calculate f(v(d)).\nAnswer: -170*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 49*t + 1. Suppose -u - 9 = m, -2*m + 2*u = -11 + 45. Let o be m\/52 + 10\/8. What are the prime factors of c(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.14. Let i = t + -0.04. What is the third smallest value in i, -2, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3963 + -3945. Solve -2 = s*g - 92 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 563 - 504. What is the remainder when g is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 531, 1164, 1905, 2766, 3759, 4896, 6189, 7650?\n\"Answer: 2*g**3 + 42*g**2 + 493*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybb when three letters picked without replacement from boobbyeyyeeoo.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from 88713288.5593.\nAnswer: 88713288.5793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, -21, -35, -49, -63, -77?\n\"Answer: -14*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 6*h)*(5 + 2*h**2 - 5).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971 is divided by 355?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/27 - 454\/18. Let v = l - -36. Suppose -2*y - 26 = -3*c - 1, 4*y + 9*c = 115. Calculate the least common multiple of v and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23788?\nAnswer: 2, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 166\/(-4)*13\/(-195) and 25\/138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 89. Let p be k(-17). Calculate the common denominator of (-530)\/4*p\/(-320) and 267\/108 + 4\/(-6).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqmqqqqqqmqqqqqmq?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = -m + 1802, -4*m - 3*j = -7293. Suppose -5*h + m = -11188. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -131*f**8\/56 + 43*f**4\/4 + 31*f - 3. Let j(y) be the first derivative of p(y). What is the third derivative of j(w) wrt w?\nAnswer: -15720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 576 - 22*i**3 + 286 + 290.\nAnswer: -22*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 21*c**3 - 4927*c**2 - 1880*c + 7. Determine f(235).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 758805 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - -1) + (-10 - (22 - 34)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let b = -53 - -56. What is u(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:44 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1493 divide 1522547963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, 7, -3\/7, 124\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 626454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Determine w(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uii when three letters picked without replacement from {o: 4, n: 7, u: 5, i: 3}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 * 7.8\nAnswer: -16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -390*l + 388*l - 38, 3*l = 2*r - 13 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -226 + 19*d**4 + 226 + (-3*d**2 + 3*d**2 + 7*d**3)*(-6*d + 0*d + 3*d).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 2:31 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046 a factor of 631634898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 4*g. Calculate k(-12).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppvppprppppprpprp. Give prob of picking 1 r and 1 v.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3641 + 0.00166674?\nAnswer: -3640.99833326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -790\/23 + 1925\/46. Factor -5\/4*j**5 - 5*j**4 - 5\/4*j - o*j**3 + 0 - 5*j**2.\nAnswer: -5*j*(j + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(35\/135) + 4. Suppose -113 = -k + q. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980 and 51485.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by (1 - 1\/7)\/(440\/(-112) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6922 - -415273\/60. Find the common denominator of -91\/160 and d.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(441) - (sqrt(441) - (-3*sqrt(441) - sqrt(441)))) + sqrt(441) + sqrt(9))*-5)\/(((sqrt(72) + sqrt(72)*-3)\/sqrt(3))\/sqrt(8)))**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 * -15\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 20*j + 96. Calculate l(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.7 + 0.7. Let t = 7.08 + w. Let o = t + -0.041. Round o to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 5, v: 12}. Give prob of sequence tsv.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -268 bigger than -269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 12*o + 12. Let v be -2*(50\/4)\/5. Let p(k) = 1 + 4 - k + 0. Let d(s) = s - 6. Let c(x) = v*p(x) - 4*d(x). Give 12*c(a) + i(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(sqrt(66) + (sqrt(66) + sqrt(66)*2 - sqrt(66) - sqrt(66) - sqrt(66)))*4)\/((-6*sqrt(180)\/sqrt(3))\/sqrt(10)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, 17, 46, 75?\n\"Answer: 29*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + -0.19. Let f = 161 + -809\/5. What is the nearest to -1 in f, -5, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2832.7 - 0.2.\nAnswer: -2832.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 235487541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 5:23 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - (14 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 15. Let u be q(0). Let d be (20\/u)\/((-2)\/6). What is the nearest to -0.1 in 1\/4, -4, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -767 - 4*c**3 + 2*c**3 - 1317.\nAnswer: -2*c**3 - 2084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 76*v + 234 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 80.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1058 + 3173 - 1056 - 1055 + 13*c - 12*c.\nAnswer: c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1 (c) -2\/27 (d) -3\/8 (e) -1213.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2907, 5232, 7571, 9930, 12315, 14732, 17187, 19686?\n\"Answer: h**3 + h**2 + 2315*h + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.38715065 and 0.5.\nAnswer: -0.193575325","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1939413?\nAnswer: 3, 7, 92353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(324)*-1)\/(sqrt(2) - sqrt(36)\/sqrt(2)) + ((sqrt(144) - (sqrt(144) - (sqrt(144) - -1*sqrt(144) - sqrt(144))))\/sqrt(12))\/(sqrt(96)*1)) + -1.\nAnswer: -1 + 95*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*2*(sqrt(99) + 1) - (-1*1*sqrt(99) + sqrt(99) + sqrt(99) - (sqrt(99) + (sqrt(99)*1 - sqrt(99)) + 5))) + -2)*2)**2.\nAnswer: 16800*sqrt(11) + 163300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 54*c**2 + 15*c - 39. Let v be u(3). Let t = v - 269. What is the remainder when t is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1713 - 1708. Let l = 12 - 8. Find the third derivative of -9*b**2 + 39*b**z + l*b - 4*b - 34*b**5 wrt b.\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5343, 5342, 5341, 5340, 5339, 5338?\n\"Answer: -c + 5344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**6\/270 - 2*l**5\/15 + 10*l**4\/9 - 127*l**3\/6 - 245*l. Let o(g) be the second derivative of x(g). Factor o(m).\nAnswer: 4*(m - 10)*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 30*y - 23)*(3 - 4 + 14 + 27 + 6).\nAnswer: -1380*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/60 and 55\/334.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -238, -721, -1204?\n\"Answer: -483*l + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1539) + sqrt(1539)*1*6)**2 + (sqrt(1539) - ((sqrt(1539) - (-4 + sqrt(1539))) + sqrt(1539))**2*2)*-3.\nAnswer: 405*sqrt(19) + 84741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 153.\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47637 and 2747?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 - 48 + 50)*(0*y**3 - y**3 - 2*y**3) + 7*y**3 + 7*y**3 - 6*y**3 in the form i*y**2 + t*y + b + l*y**3 and give l.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2688277.\nAnswer: -4\/2688277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 13\/12*m**4 - 2*m**3 + 0*m**2 + 0 + 13*m. What is the second derivative of a(y) wrt y?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -7. Solve -4*t + 8*t = b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28117329 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 671*n - 9. Let r be h(-2). Let x = 4061\/3 + r. Factor -1\/3*m**3 + x*m**2 - 20\/3*m + 16\/3.\nAnswer: -(m - 4)*(m - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33870 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 1 - -17) + (0 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(((-1)\/(-3))\/((-32)\/192)). Let i(q) be the first derivative of x*q - 6 + 7\/3*q**3 + 1\/4*q**4 + 0*q**2. Find the third derivative of i(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 21 = 3*y, 3*y = 4*y - 4*l - 13. Let q = y + 7. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120222100 - 1120010120?\nAnswer: -2011002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (230\/(-8))\/(885\/708).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/20 - b**4\/24 - 2*b**2 + 80*b. Let x(j) = 3*j**2. Determine x(f(u)).\nAnswer: 27*u**4 - 18*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 561 divide 275316253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-1*(-6)\/(-54)*9. Let p = -3 - 1. Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 29*c + c**3 - 2*c**2 + c**2 + 34*c in the form g + d*c + t*c**3 + h*c**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 124212.8 to the nearest 1000.\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*b**2*c**6 + 14524*b**2*c**4 + 902*b**2*c**2 - 2*b*c**2 wrt c.\nAnswer: 2520*b**2*c**3 + 348576*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/44)\/(((-2)\/48)\/(422\/3798)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24225 divided by 95?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*o + 2 + 5, 4*o + 7 = p. Let l = 3 + o. Solve 0 = -4*y + 5*y - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*k - 5, 0 = -5*z + 2*k - 4*k - 15. Let c be 2\/z - (-9)\/(-15). Let m be (-1 - 2)\/(c - -2). Do -4 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.6 - 15. What is the nearest to 1\/4 in o, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -251803 (base 9) in base 12?\nAnswer: -74163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -3*y - 3*y. What is the greatest common factor of y and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156\/17 - -434\/51. Which is the third smallest value? (a) -0.4 (b) -154 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39865053 or -39865052?\nAnswer: -39865053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -0.0043, 5 in increasing order.\nAnswer: -2, -0.0043, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.69079 (b) -112 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65871 and 537615?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 270 = -0*z. Suppose 15 = -6*i + z. Solve -3*u = 2*r + 8, r - 4*r + i*u = -14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12862157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 12*k = 16. Is (-2 - 5*-33) + (k - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -702, -2811, -6320, -11223, -17514, -25187, -34236, -44655?\nAnswer: -56438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -382601, -1530426, -3443469, -6121730, -9565209, -13773906, -18747821?\n\"Answer: -382609*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = 23*m - 26*m, -2*v = 2*m - 6. Which is the nearest to -0.3? (a) m (b) -0.04 (c) 1 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 28*y**3 - 9*y**2 + 47*y - 52. Determine f(2).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, 8, 5, -344.\nAnswer: -344, -21, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/14))**(-32)\/(z**(4\/7)*z\/(z\/(z**(-8)\/z))) assuming z is positive.\nAnswer: z**(-181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 705420*b\/7 + 5643488\/7.\nAnswer: -2*(b - 352718)*(b + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, a: 1, l: 2, x: 2, k: 3, h: 4}. What is prob of picking 2 k, 1 h, and 1 x?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 5*l**2 + 5. Let s be j(-5). Suppose s*o + 5 = -3*h, 4 = -o - 0*o. Suppose 7*v - 38 = h*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4650 and -101\/1550?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 7*h + 7. Suppose m + h*z = 2*z + 46, 5*m - z - 152 = 0. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 873 + 31628*t + 878 - 1751 to y*t + a and give y.\nAnswer: 31628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*-6*(0 + -4*(sqrt(833) + sqrt(833) + (sqrt(833)*1 + 3 - sqrt(833)))))**2*3.\nAnswer: 2322432*sqrt(17) + 92371965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 23. Solve t*n + 5 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 130049*c**2 - c + c**4 + 130049*c**2 as s*c**3 + l*c**4 + t + z*c + j*c**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*78\/8775*-15. Let y be (-1)\/(0 - 2\/10). Suppose 0 = 3*c - 0*c + h - 6, -3*c = -2*h + 3. Sort -4, j, c, y.\nAnswer: -4, c, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -bc825?\nAnswer: bc82d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103812 + 60*u**2 - 103812.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.79 * -7\nAnswer: -5.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-380)*(-92)\/161?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + 5*r**2 + 0*r**2)*(-17*r + 14*r + 7*r + (0*r + 0*r - r)*(-4 + 3 + 0) - 8438 + 148*r + 8438) as y*r**3 + j + d*r + i*r**2 and give y.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 981 and 5608377.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20068393031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*t**5 - 8*t**4 - 145*t**2 wrt t.\nAnswer: -360*t**2 - 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15212000 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 22. Let y(z) = -z**2 + 11*z + 5. Let u be y(c). Suppose 0 = u*g + 3*q - 230, -2*g + q = -49 - 43. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86715095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.49 - 0.09. Let t = 1.98 + -2. Let j = -0.05 - t. Sort j, a, 1\/2 in increasing order.\nAnswer: j, a, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - 9*g. Let a be u(-3). Suppose -19*h + 9*h = a. Solve h = -c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2670\/(-4272)*(0 + -8). Solve -a + y - 10 = 0, -y = m*a + 9 + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, 1\/2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 4*u**2 - 2*u + 4. What is g(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-63) + 88\/36. Factor 0 + 1\/7*b - 1\/7*b**n.\nAnswer: -b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5653c (base 13) to base 10\nAnswer: -156883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 9*b + 6 = 3*x, 15 = -5*b. Which is greater: x or 5\/82?\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2810 = -96*i + 994 - 1020 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -833 or -830?\nAnswer: -830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 540?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100211120 (base 3) to base 10.\nAnswer: 204000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2341139921 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1632053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 94240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - (-336)\/49)*(-28)\/(-3). Let x(h) = -2*h**2 - 4*h + 3. Let f(t) = 6*t**2 + 11*t - 8. Give a*x(d) + 3*f(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f*f\/f**1))\/f*f**(-6\/13))\/((f\/f**1)\/(f*f**(2\/13))))**(-39) assuming f is positive.\nAnswer: f**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5 + 3 = 4*n, n = 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 greater than -3184\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3219 divided by -29.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 59 - 19. Find the second derivative of -2 + 0*f**3 + 0*f**3 + 92803*f**5 + 31*f - 92856*f**q wrt f.\nAnswer: -1060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101390*m**4 - 28*m**3 + 749*m**2 - 21915*m - 1 wrt m.\nAnswer: 2433360*m - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b. Let k(r) = 2*r + r - 3*r - 4*r. Determine k(h(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/636405 and 199\/4827900.\nAnswer: 140009100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 11*o - 16. Let j be (16 - 20)*(-118)\/o. Let u = j + 64. Put 1, -5, -4, u in decreasing order.\nAnswer: u, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21486580 + -21486731.999874. Let o = 152 + j. Round o to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107.9 - -116.9. What is the second smallest value in -0.6, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/10 (b) -2\/5 (c) 0.1 (d) -1.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -155*r - 2. Let d(i) = 311*i + 4. What is -6*d(b) - 11*z(b)?\nAnswer: -161*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38975754 and 1357.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 5:41 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1532 + 1536. Solve x*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 74.\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 896155077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**2. Let o(y) = -125212*y. Give o(v(f)).\nAnswer: 626060*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 2)*((-224)\/24 + -2). Is y smaller than -614\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(90)*-2)\/sqrt(10)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88003961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - y = -1605 - 888, r - 612 = 2*y. Let t = 141 + -133. What is the remainder when r is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 5*u + 2. Let f(j) = 3*j**2 + 10*j + 4. Suppose -155*g - 688 + 5 = 92. Determine g*o(c) + 3*f(c).\nAnswer: -c**2 + 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 43*b**5\/30 + 172*b**2 - 2. Let c(k) = 42*k**2. Determine g(c(d)).\nAnswer: 151704*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/2030*(-91)\/(-195)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 617\/3135 - -2\/627. What is the second smallest value in x, 7, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 27*d**2 + 26*d. Let w be u(26). Suppose w = 10*x - 8*x - 942. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14 - 324\/(-84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10307\/(-264) - -39)\/(4 - (-14)\/(-4)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l + 19*l + 14*l - 67*l - 4.\nAnswer: -7*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 31*r**2 - r + 42. Let q be z(31). Suppose 6*n + q*n = 2839. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 71 = -2*r - 5*k, 10 = -2*k. Suppose r*a = 25*a - 109. Let p = -107 + a. Solve -p*f + 0*f + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -n - 9, -2*n + 3*a - 112 = 2*n. Let p be 2 + (3 - 8) - n. List the prime factors of (-15)\/(-6)*p\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/105003516 and 8.\nAnswer: 105003516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gigi when four letters picked without replacement from iiogxooigoggoig?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2964075, 2964077, 2964081, 2964087, 2964095?\n\"Answer: f**2 - f + 2964075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2 - 255124*s + 16272063844 = 0.\nAnswer: 127562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48473.\nAnswer: 48473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.3 - -13. Sort q, -0.5, 0.06 in decreasing order.\nAnswer: 0.06, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18090, 36181, 54272, 72363, 90454, 108545?\n\"Answer: 18091*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 + 7 = 0. Let s be (-24)\/b*176\/(-6). Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -227\/3 + 75. Let s = -7.83 - -7.53. What is the smallest value in s, -2\/17, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007644 rounded to five dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-328)\/(-36) + -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3288?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**2\/l)\/l)**(13\/3))**16 assuming l is positive.\nAnswer: l**(208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62153988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 621 + -619. Solve m - 14 = 5*x, h*x = -3*m - 0*x + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1672)\/19)\/4488)\/((-11)\/(-132))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p. Let g = 96 + -88. Let k(r) = -2*r - g*r - 23*r. Calculate l(k(q)).\nAnswer: 66*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 35*h - 67*h + 147 + 101*h.\nAnswer: -h + 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20377597.643 and -64879.\nAnswer: -20442476.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d - 18. Let a be i(-5). Find the common denominator of (-4 - (-134)\/a)*(-436)\/(-9) and -121\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*g + 48 = 0, 0*u + 4*g + 32 = -2*u. Which is smaller: u or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 4009 - 5\/(-1). Do w and 4013 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-43)\/2 - 5\/(-10). Let k = -15 - v. 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 32181.7ml in litres?\nAnswer: 32.1817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4 + 7141*k**3 - 21*k**2 + 95*k wrt k?\nAnswer: 24*k + 42846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from ppbyyppbibijppyypy?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177003220 to the nearest integer?\nAnswer: 13304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 0*n + 77 + 5*n - 74. What are the prime factors of s(7)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 43440?\nAnswer: 44013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/105*(-18)\/4. Let w(z) be the second derivative of 0 + z + 0*z**4 - d*z**2 + 2\/15*z**6 + 0*z**3 + 0*z**5. Differentiate w(q) with respect to q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/6*x**2 + 79\/3*x.\nAnswer: x*(x + 158)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6315 or -6322?\nAnswer: -6322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63435 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.09 times -30?\nAnswer: 512.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(187) + 3*sqrt(187)*3 + sqrt(187))\/(sqrt(121)\/sqrt(11)*-6))**2.\nAnswer: 51425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -32*u**3 - 3*u**2 + 10*u + 3. Let g(q) = 95*q**3 + 8*q**2 - 30*q - 8. Let z(x) = 3*g(x) + 8*h(x). Find the second derivative of z(r) wrt r.\nAnswer: 174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 323?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27282345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 75*j**4\/4 - 53*j**3\/3 - 70. What is the third derivative of i(y) wrt y?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 519546*n**2 - 1 + 259776*n**2 + 259778*n**2.\nAnswer: 8*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*t - 0*t + 6, -3 = 3*t. Let j be (18\/6*2)\/(9\/6). Let g be j\/14*(-49)\/(-35). Put g, v, 2\/13 in decreasing order.\nAnswer: v, g, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271717?\nAnswer: 1271717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -420484 (b) 4 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060835.\nAnswer: 5, 212167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r = -5*w + 11965, -4*r + 20 = 0. Suppose p = -4*p + 5*l + 2415, -5*p - l = -w. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 49*w**2 - 65*w + 819. Let n be z(48). Solve -40 = 4*a + 5*c, -4*c = n*a - 0*c + 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125 or 55754?\nAnswer: 55754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 - 94. Find the second derivative of -c + 17 + 20*a + 25*a**3 wrt a.\nAnswer: 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -211, -210, -209, -208, -207?\n\"Answer: r - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 20*z + 86. What is w(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*i**3 + 5*i - 9*i + 3*i.\nAnswer: 206*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*51*((-16)\/2)\/4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:46 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133204 by 133204.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3487389 by 6.\nAnswer: 1162463\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5308375*a**3 - 4*a**2 - a + 66945773 wrt a?\nAnswer: 15925125*a**2 - 8*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -119*s - 919. Give l(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2703 - -2699. Let x = 7 - 36\/5. What is the nearest to 1 in -3, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 644 and 10696840?\nAnswer: 10696840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 9*h - 6*h. Let x be ((-276)\/15 + 0)\/(2\/h). Suppose -r = -x - 9. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p - 251*p - 50*p to the form j + l*p and give l.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -16, -5*z + 25 + 6 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 w when four letters picked without replacement from wjwjjgwwgw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 42*j + 511. Let x be s(-12). Calculate the greatest common factor of 17 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 10*u + 4*m = 0, 2*u = m - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 1242*b - 3699.\nAnswer: -3*(b - 411)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5639 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 - 15356*z + 1158696 = 0 for z.\nAnswer: 77, 3762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 4*b - 9*b - 2*b + 3*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 11*q - 22. Let b be ((-15)\/2)\/(12\/(-16)). Let i be p(b). Is -2\/3 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-56) + -1*14\/8)*4\/15?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1021?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 8. Let g be a(7). Let v(i) = i**3 + 14*i**2 - 15*i - 20. Let m be v(g). Let b = -9 - m. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 10) in base 15?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 d when four letters picked without replacement from {r: 6, d: 12}.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -705156 - -10572223\/15. Let l = r + 341. Let p = -0.3 + -4.7. Which is the third smallest value? (a) p (b) 1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8659*u**2 + 26*u. Let f(n) = 4331*n**2 - 12*n. Calculate 13*f(o) + 6*i(o).\nAnswer: 4349*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -355281072 divided by -492\nAnswer: 722116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19395824 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 8) in base 10?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*a - 2 - 1134*a + 2 - 555*a.\nAnswer: -2536*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 86 + 15 - 48 - w as c*w + v and give v.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*c = 68*c + 24 + 60 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 - 3*t + 7. Determine z(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2 - -3) + 8 + (36 + 15 - 8)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22080 and 67440?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 207130?\nAnswer: 207130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 7*u + 1. Let a(p) = 8*p + 1. Let h be a(-1). Let g be l(h). Which is greater: -2\/9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 787?\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -756.648455381?\nAnswer: -756.648455381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221000121 + -100011?\nAnswer: -12221100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*z - 4872 = 440 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 4*k - 8 + 7\/2*k**2. Suppose 5*w - 3*f + 2*f + 33 = 0, 0 = -2*f + 6. Let s(n) = -20*n - 11. Give w*s(b) - 17*a(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*l**2 + 14*l**3 - 16*l**3 - 1250*l**2 + 416*l**2 + 419*l**2 - 6*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 85 (b) -4 (c) -7 (d) 2\/13 (e) -5 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 284.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 19*y + 21. Let u be o(-18). Solve -u*c = -5*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:02 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 14*k + 9. Let x = -320 + 648. Is (k + 2)*(3 + x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 72 = -2*p. Suppose 4*s = -0*q + 2*q, 2*s + 5*q = p. Let k = 5 - s. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 18*q - 10. Let g be (2 - 2\/1)\/(-2). Let l = g + q. Solve 20 = l*a + 5*d, 4*d + 0 + 9 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -20*y**3 + 20*y**2 - 9*y + 406. Let l(d) = 7*d**3 - 7*d**2 + 3*d - 135. Let z(j) = 6*a(j) + 17*l(j). List the prime factors of z(0).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 23, -0.3, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) + 0)**2 + 3 - ((5*1*sqrt(2057))**2 - sqrt(2057))) + -3)*-3 + -3.\nAnswer: -33*sqrt(17) + 148101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 317982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79, -52, -11, 50, 137, 256?\n\"Answer: v**3 + v**2 + 17*v - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 93, 188, 283, 378?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41947339, 41947346, 41947353, 41947360?\n\"Answer: 7*l + 41947332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56945 or 56946?\nAnswer: 56945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -7. Let a = 14 - i. Let d = -9.2 + 9.04. What is the biggest value in a, 0.2, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389908.\nAnswer: 2, 107, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 221*g**6 + 2*g**3 + 5*g**2 + 148*g wrt g?\nAnswer: 26520*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u = -111*u + 46*u + 64 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56271 bigger than 56272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.642*2.\nAnswer: -5.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 1, z: 1, q: 1}. What is prob of sequence zj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 4*c - 3*c - 17, -3*c = 2*r - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -6 + -2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18455 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3645262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 103, 159, 213?\n\"Answer: -o**2 + 61*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by ((-11)\/(-2))\/1*(-38 + 40).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 6*b**2 - 9*b + 35. Calculate z(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.2944 years in millennia?\nAnswer: 0.1622944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -1\/3*r**6 + 0*r**3 + 0*r + 0*r**4 + 0*r**5 + 1 - r**2. Find the second derivative of h(q) wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g + 0*g**3 + 17 - 1\/4*g**5 - 1\/3*g**4 - 3*g**2. Find the second derivative of y(h) wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Suppose -4*m = 4*u + 20, 4*m - 2*u - 10 = -0. Suppose m = -y + 1 + 4. Solve -y*i - 25 = -k*i + 5*d, -4*i - 10 = 2*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s - 7. Let h be b(-5). Suppose 2*i + 76 = 88. Sort h, i, 1, 5 in increasing order.\nAnswer: 1, h, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from ppppbpoabopoppaa.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4009*c**4 + 10*c**3 - 2*c**2 + 4467696?\nAnswer: 16036*c**3 + 30*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -485828625*n + 1302259820 wrt n.\nAnswer: -485828625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*r**2*z**4 + 113*r**2*z**2 - 2*r**2*z + r*z**6 + 2*z**2 wrt z?\nAnswer: -312*r**2*z + 120*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15623 = -572*f + 589*f. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -24028519.\nAnswer: -24028519.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/105*-7*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1898 and 0.1818.\nAnswer: 1898.1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12598 or -12594?\nAnswer: -12594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.598677l in millilitres?\nAnswer: 2598.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/153, 0.9, -2\/5 in increasing order.\nAnswer: -2\/5, -5\/153, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) + (-210)\/(-50) - 4. What is the nearest to 0 in 2\/9, 0.07, 4, h?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2766291 and 561.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 215?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 9)\/(-20)*30\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.1 (b) -55.53 (c) 58\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at least 20\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 + 3 = 0. Let p be 3 + -2 - (17 - 4). List the prime factors of (r\/(-6))\/(p\/1242).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 25 = 3*r, -r - 5943 = -5934 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101975813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(3 + 16\/(-60)*12). Solve -4*j + 1 = q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1857 in 1\/7, 0.004, 1604?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 924071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -10)*1 - 4. Calculate the smallest common multiple of 4\/(u\/(14\/4)) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - -a6c6c?\nAnswer: a6c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0.5, -15\/2, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven fifths of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.465402 to 1 dp.\nAnswer: 43.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -506255, -506259, -506265, -506273?\n\"Answer: -k**2 - k - 506253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114609208 a multiple of 2692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/16 and -35\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 0.97. Let p = -1.1 + u. Is 2 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -5*a. Let j be 4 - (-1 + -1 + a). Suppose -j*y = -4 - 11. Solve 2*n + y*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.690812082 rounded to 2 dps?\nAnswer: 2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365*j**3*l**3 + 178*j**3 - 4*j*l**3 - 5*l**2 wrt l.\nAnswer: 2190*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235074 and 15054.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.407 - -36.42. Round q to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 22 + 6. Let w = v - -31. Calculate the highest common factor of 68 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2)*3\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1220 = -2*h + 5*x - 0*x, -1812 = -3*h + 3*x. What is the greatest common factor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m + 1. Let o(y) = -6*y**2 - 8*y + 2. Let p(t) = o(t) + 3*w(t). Let z(f) be the first derivative of p(f). Is z(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d**3 - 2*d - 1. Let u(x) = x + 13. Suppose 7*r + 2 = -z + 4*r, 3*r = 12. Let q be u(z). What is the tens digit of n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 3.7. Is v smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(54)\/sqrt(54)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-six fifths of a millisecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101552 - 685?\nAnswer: 100756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2 = -14. Let m be 207\/15*(-1)\/c. Let b = m + 41\/10. What is the nearest to b in -0.4, 5, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-18)\/(g*g*g**12) assuming g is positive.\nAnswer: g**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 4*r + 1. Let k(m) = 3*m**2 + 13*m - 4. Suppose -10*t = -7*t + 12. Let q(o) = t*k(o) - 11*g(o). Let v be q(-8). Solve 6*p - v*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2) - 410\/(-130))*-1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -58, -194, -458, -892, -1538?\n\"Answer: -7*r**3 - r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 9*m**6\/5 + 81*m**5\/10 + 15*m**4 + 44*m**3\/3 + 8*m**2 - 23*m + 2. Factor l(x).\nAnswer: 2*(x + 1)*(3*x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1417 less than -0.066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + h + h**2 + h**2)*(1 - 4 + 0)*(-8*h + 6*h + 4*h).\nAnswer: -36*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i + 29. Let w be x(-13). Let b = w - -67. Calculate the remainder when 11 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 4 (c) 1 (d) 1201.73 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 20, -2*i = -3*f + 8*f - 3243. Suppose 5*n - 2*w = i, 12*w = -2*n + 13*w + 643. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6354 (b) -3 (c) -1\/2 (d) -1\/3 (e) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20125*c**3 + 5584*c**3 + 4657 + 7911 wrt c?\nAnswer: -43623*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(-696 + 689)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 19*v - 7. Let d be s(9). Solve 6 - 4 = -d*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 38*p - 11. Let n(h) = 13*h - 4. Let v(l) = -l**3 + 8*l**2 - 11*l + 17. Let z be v(7). Let r(s) = z*n(s) + 4*k(s). Let i(o) = 6*o. What is r(i(w))?\nAnswer: 54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128886506 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - n)*((0*n + 4*n - 2*n)*(-2 + n + 2) + 2 - 2 + n**2 + 85 + 18*n**2 - 85).\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -6, -29, -66, -117?\n\"Answer: -7*q**2 + 12*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*n + 22*n - 29*n**2 - 37*n - 27 + 23 - 7*n**3.\nAnswer: -(n + 2)**2*(7*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -577, -1148, -1717, -2284, -2849, -3412, -3973?\n\"Answer: j**2 - 574*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 + r + 7. Let l(u) = 2*u**2 - 4. Let d(v) = 3*f(v) + 5*l(v). What is the tens digit of d(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2438, 2431, 2424?\n\"Answer: -7*p + 2445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40353448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:08 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2607 and -0.09.\nAnswer: 234.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2)*12\/18. Let m(j) = -15*j + 9. Let i(w) = -w. Let f(t) = h*m(t) + 4*i(t). Differentiate f(l) wrt l.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -0.1, 2, 0.103, -1\/3?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 22*l**3 + 2*l**2 - 2*l. Suppose 1843 = -21*x + 1381. Let f(t) = -110*t**3 - 11*t**2 + 11*t. Calculate x*b(y) - 4*f(y).\nAnswer: -44*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 - 3. Let t = -3.4 - -3. Which is the second smallest value? (a) t (b) -1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-21))\/(3\/2). Let p = -1037 - -2075\/2. Sort 2\/21, -3, p, s.\nAnswer: -3, s, 2\/21, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 45. Let v(c) = -13*c**2 + 27*c - 11. Let y be v(2). Give s(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9475680853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -2) + 2 - (-12)\/2. Let y = a - -209. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2. Let d(o) be the second derivative of o**4\/6 - 9*o. Determine d(n(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2331.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2 - (3 + -4). Suppose s = v - 5*v. Suppose 2*g - p - 28 = v, 2*g - 24 - 24 = -4*p. Solve 3*a + a + g = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33933?\nAnswer: 3, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000221 rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12028 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451 - 170. Let p = 293 - y. Calculate the remainder when 239 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*l = 5, -2611*l - 7 = -4*q - 2610*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/2, -1\/4, 2, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 650327, 650528, 650729, 650930, 651131?\n\"Answer: 201*z + 650126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.79 - 3.6. Let x = m - -0.11. Let j = 0.8 - 0.4. Which is the smallest value? (a) 0 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 17*o - 20. What is the units digit of -6 - -1 - (-584 + o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 1772.6221.\nAnswer: 1776.6221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 273793 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672617.\nAnswer: 11, 47, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/4 + 47675*x. Let z be -1 + (0 - -1 - -2). Let b(y) = 3*y**2 - 3*y**z - 3*y**2. What is b(n(j))?\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1094 = -5*x, -3*x + 2*x - 2781 = -5*q. List the prime factors of q.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 + 2*y**3 - 14*y**3 - 4*y**3 + 6*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*i = -47, 3*i + 379 = 2*m + 374 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248 + 255 + 466 - 120*d**2 + 252 - 1466 + 247.\nAnswer: -120*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 8*c - 5*c + 96*c**2.\nAnswer: 96*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43053?\nAnswer: 3, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 1. What is the least common multiple of j(-2) and (2\/1 - (0 + (-2 - -3))) + 7?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1456511290 to the nearest one million.\nAnswer: -1457000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 447 + y**2 - 7811*y + 7802*y.\nAnswer: -2*y**2 - 9*y - 447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2848*u + 199362. What is p(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*y - 136*y - 494 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 4*m**2 - 3*m**2 - 4*m**2 - 1 + 1 - 2*m**2 + 4*m**2 - 3*m**2 + (0*m + 3*m - m)*(3 - 3 + m) + 0 + m**2 + 0 - 2*m**2 - 3*m**2 + 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 11?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*z**2 + 264*z**2 + 98*z**2 - 8*z**3 - 218*z**2.\nAnswer: -8*z**3 + 697*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0377 + -1.9623. What is the third smallest value in 1\/4, p, 121.6?\nAnswer: 121.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4 + 556*x**3 + 1118*x**2 + 560*x = 0.\nAnswer: -1, 0, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*g + 22*g - 700 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6. Let z(m) = -m**2 - 13. Let f(i) = -13*d(i) + 6*z(i). Let k be -3 + 15 + -6 + 17491. Let u(o) = -k + 17497 - 2*o. Determine f(u(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -3, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -95*y**3 - 8*y**2 - 6*y + 50. Determine q(-3).\nAnswer: 2561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, -8, 13, -2 in ascending order.\nAnswer: -8, -4, -2, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1818 - 397*m + 4*m**2 - 309*m - 62*m wrt m?\nAnswer: 8*m - 768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -61. Let b(g) = -g**3 - 4*g**2 + 7*g - 5. Let i be b(-6). Let l = i + h. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624411518.1 minus 9.2?\nAnswer: 624411508.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4 - -4)\/(150\/(-1560)*1\/(-5))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + -40044.9\nAnswer: -40044.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.2 (b) -0.1 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/(-24)*4*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*6\/4 - (-60 - -48). Let n(l) = 2*l**2 - 4*l + 3. Let u be n(2). Solve 2*v + f = -8, -v + x*f - u = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 - 294 + 294 + 6*k**3 + 7*k. Let h(z) = -5*z**3 - 6*z**2 - 6*z. Give -7*h(d) - 6*n(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 495477 and 42819.\nAnswer: 3468339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t - 5056 = -4816 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 837, 2, 5 in increasing order.\nAnswer: 2, 4, 5, 6, 837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 5*r + 125 = w + 122, 0 = -w - 4*r + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 40. Let c be 2\/(-6) + 44\/r. Is c bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 4\/6*(2 - -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23811354\/103 or -231179?\nAnswer: -231179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 3*o**2 - 4*o + 3. Let t be j(2). Which is bigger: t or -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -354 equal to -355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -157*j**5\/60 + 137*j**4\/24 - 2*j**3\/3 + 7*j**2 - 1. Let c(r) = -r**2 - 2*r - 1. Let g(f) = 6*c(f) - h(f). Factor g(v).\nAnswer: (v - 1)*(151*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.989076 - 4.99. Round m to 5 dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193542191 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 120*n + 679. Give b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -3\/8, 2\/9, 10, 0.1, 1\/2, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*h - 9, 0 = 2*h + 11 - 1. Suppose y + w = -17. What are the prime factors of (-2)\/(-5) + (-92)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 41*y**4 - 42*y**4 + 315*y + 417*y to p + s*y + z*y**4 + b*y**3 + v*y**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 18*k + 14. Let r(d) = 2*d**2 - d. Let j be 186\/124*(-4)\/3. Let b(f) = j*r(f) - c(f). Factor b(g).\nAnswer: -2*(g + 1)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 13.8. Let v = 71756 - 71757.199976. Let s = v - a. Round s to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 x when three letters picked without replacement from xawxpaxawxi?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 323, 285, 221, 131?\n\"Answer: -13*h**2 + h + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1607088 divided by 16.\nAnswer: -100443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 79*z - 589. Let j be s(-7). Solve 0 = 2*i - j*i - 77 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + (-114800)\/(-140400) + 6\/(-81)?\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 466*g**5 + 12*g**4 - 16*g**3 - 8342*g**2 + 2*g + 15 wrt g?\nAnswer: 27960*g**2 + 288*g - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 2*z**2 + 5*z + 39. Determine v(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**2 + 1\/110*a**5 + 1\/33*a**4 + 0 - 4\/33*a**3 - 1\/165*a**6 + 0*a + 1\/1155*a**7. Let i(z) = 0. Calculate z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4767210 and 21929166?\nAnswer: 109645830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-265.8\nAnswer: 186.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:28 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1064, 1057, 1046, 1031, 1012?\n\"Answer: -2*r**2 - r + 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 23. Let z(s) = -s + 11. Let r be z(k). What is the tens digit of 2 - (-2 - r*16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 o when four letters picked without replacement from ovvovvooovooo?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*d - 29*d - 665 + 7*d - 8*d**2 + 10*d + 14*d**2 wrt d.\nAnswer: 12*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 120*s + 8. Let g be b(4). Suppose 2*q - 123 = -o + q, -4*o - 5*q + g = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 + 86 = -9*c. Let n(r) = r**2 - 6*r + 1. Is n(c) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2976 and 466014.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 430*b**5*p + 71352*b**2*p + 601*b*p - 5*b + 7*p + 370 wrt b.\nAnswer: 8600*b**3*p + 142704*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 20 = d + 3*d + 21, -3538*u - 3*d = -3542*u - 69 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 c when four letters picked without replacement from feeucgwccwcfguw.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -39309\nAnswer: 15\/13103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - 8*q - 10*q - 14*q.\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 955853776 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/52 + 75\/52. Determine b so that -7\/2*b - h*b**3 + 1 + 4*b**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emnj when four letters picked without replacement from mmeepmmpmneejep?\nAnswer: 5\/6552","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*o + 10935, -u = -o - 8066 + 2596. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-217)\/(-35))\/((1056\/(-90))\/(-11))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:10 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 43. Suppose -4*r = -10 - s. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -3.5?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 317611996 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 9. Let q be z(-5). Suppose -16 = q*s, 2*t + 2 + 2 = 2*s. Let d be t\/33 - 4\/(-22). Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - -318?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325694159 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1299362 and 1006411?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1806436 and -1148998.\nAnswer: 657438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9849 + 4.\nAnswer: 3.0151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -1654*z + 1648*z - 28 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 609534721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1024 and 73\/72.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*g - 104*g + 5*n - 50 = 0, -5*g = -5*n. Let c = g - 29\/7. Factor 1\/7*j**2 - c - 1\/7*j.\nAnswer: (j - 3)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 l when three letters picked without replacement from {q: 2, p: 6, w: 2, l: 5, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/(-5)*(-3)\/(-12)*-4. Let h = -0.095 - 0.205. Which is the biggest value? (a) h (b) -1\/19 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 100.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -463870 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 119*w**2 - 3*w. Let n be m(-1). Let z = -122 + n. Suppose -r + 5*d - 15 = 0, 9 = r - 0*r + d. Solve -4*l + r*v - 3*v - 12 = 0, z = -v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*t + 3. Let m be (2 + (-206)\/6)\/((-51)\/306). Let k = -190 + m. Solve 0 = -k*j + 1 - t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {i: 2, w: 7, f: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880446.\nAnswer: 2, 3, 7, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4053674 and 4402.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3266\/(-60))\/(2\/(-4)). Let o = 308\/3 - u. Calculate the common denominator of -46\/3 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1939.6 + 7.\nAnswer: -1932.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 g when three letters picked without replacement from kcgllpcsgcsg.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 1, x: 1, b: 1, k: 1, a: 1, d: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*-4*(-4 + sqrt(153) + -1) + -4)**2.\nAnswer: -17280*sqrt(17) + 102528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(616\/50392) - 2. Let v = s - 569. Factor v - 12\/11*r + 2\/11*r**2.\nAnswer: 2*(r - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**3 - 33*k**2 + 19*k - 17. Let r(l) = 14*l**3 - 93*l**2 + 54*l - 52. Let n(z) = -4*r(z) + 11*t(z). What is n(9)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 504*i = -506*i - 1, 0 = -29*k - i + 27 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 3*g + 5*g + 0*g + 5*g**2 + 6. Let i(j) = 4*j**2 + 5*j + 5. Let r(o) = 6*i(o) - 5*y(o). Let h(a) = -12*a**2. Determine r(h(p)).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*c - 19073 - 1195. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 75. Solve m - q + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.665 + 0.135. Let h = l + -7.8. Which is the closest to 7? (a) h (b) -1\/6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4372213 = 47*f - 18892787. Round f to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5373980 + 40100024 + 56285956. What is j rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -46, -1, -0.2, 0.53, -6.8?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/24712 and -79\/18534.\nAnswer: 74136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 50110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-33))\/(1\/(-18)*-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 22021?\nAnswer: -22010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d = 0. Suppose d = -2*s - 2*l + 56, s - 4*s = 2*l - 85. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 33*w - 61 = -52*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58979160?\nAnswer: 2, 3, 5, 173, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 0*z**2 + 0*z - 2 + 2\/3*z**3. Let y(h) be the third derivative of -h**4\/12 - 2*h**2. Give y(r(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410, 1210, 2798, 5570, 9922, 16250, 24950, 36418?\nAnswer: 51050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 + 61 = 5*b. Let m(l) = 68*l - 765. Let x be m(13). Let n be x\/b - (-2)\/12. Calculate the greatest common divisor of 33 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 at most as big as -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 131596 from -42518515.\nAnswer: -42650111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.4. Let k = b - 0. Let q = -8 - -8. Which is bigger: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r + 4. Let q be t(3). Find the second derivative of -2*u**2 - 5*u - q*u**2 - 11*u**2 wrt u.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/40 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfweueeeefeweeuwwe. Give prob of sequence wwww.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + 62. Suppose 2*o - 5*l = x, 5*l - 134 = -4*o + 7. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0.4, -0.9 in descending order.\nAnswer: 9, 0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l - 2*l**3 + 12*l + l**3 + 0*l**2 + 5 - 6*l**2. Let v be u(-6). Which is smaller: v or -12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**3 - 2*q**2 + 7*q - 24. Determine o(3).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 4, 3, -58, -5 in decreasing order.\nAnswer: 4, 3, -5, -24, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2734258375?\nAnswer: 5, 37, 569, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -53 (b) 0.1 (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-13 - -5)*3. Sort k, -14, 1 in descending order.\nAnswer: k, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*n**2 + 17987 + 18005 + 13*n - 35987 to c*n + p*n**2 + q and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-8921)\/(-110) - 5\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:35 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84337573.\nAnswer: 23, 1091, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4225*c**2\/3 - 260*c\/3 - 4\/3.\nAnswer: -(65*c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -138945 greater than -138945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1408912, -1408895, -1408888, -1408891, -1408904, -1408927, -1408960?\nAnswer: -1409003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 13*g + 2220. Let o = g + 623. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2380 and 4340.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*a**2*h**3 - 3623*a**2 + 1841413*a*h**4 - 3529*a*h**2 wrt h?\nAnswer: 216*a**2 + 44193912*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23849126 and 37310?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k**3\/5 + 4*k**2 + 64*k\/5 - 48\/5 = 0. What is k?\nAnswer: -2, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 87*l + 1896. Give w(-28).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 11. Let r be (-2)\/(-10) - 72\/(-15). Let u be o(r). Is ((-5)\/15)\/(u\/309) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 22*q**2 + 5*q - 38. Let b be h(11). Suppose r + 2*r - t = b, 8 = 2*r + t. Solve 3*y + r = -1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -459 + 461. Solve -3*a = 5*l + 8, 3*l - f*a = -5*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16817*i = -16303*i - 3466 - 16580 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r - 120. Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/(-3 + 7) + 15\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -8\/27, 0.4 in increasing order.\nAnswer: -17, -8\/27, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 529\/(-17) - (-68)\/578. Is 4 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 100507086.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 7041*g**3 + 112832*g**2 + 564432*g + 903296.\nAnswer: -(g - 7057)*(g + 4)**2*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {r: 1, b: 5, d: 2, m: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 183 - (-20 + 279) - (1 - -31)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*q - 27, 0*q = 2*t - 2*q - 48. Suppose -t = -4*s + 7. Solve -5*v = -3 + s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*h**2*m + 282183*h**2 - h*m - 3*h + 71433570*m wrt h?\nAnswer: -16*h*m + 564366*h - m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 + 1149145726367.\nAnswer: 1149145726649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bepspb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r - 211 = 1760 - 125 + 674 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227.56737s to minutes.\nAnswer: 3.7927895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122805?\nAnswer: 3, 5, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2191778 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 210. What is the second derivative of 16*m**3 + m**2 + 22*m**3 - 3*m**2 - j*m**3 + 41*m wrt m?\nAnswer: -72*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*j - 53, -10486*g = -j - 10491*g - 81 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {d: 4, k: 1, j: 2, o: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33667642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -80014 and -80046 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -3*y, 31 = s - 5*y. Suppose -27 = -l + 4*m, -3*l = -4*m + 10 - 51. Calculate the lowest common multiple of ((-18)\/(-10))\/(s\/70) and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 57 = 3*t. Calculate the least common multiple of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n - 1. Suppose -4*l - 7 + 6 = -5*b, 5*b = -2*l + 7. Let d(z) = 5*z**3 + z - 1. Give l*d(s) - g(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -226 in -3, -0.35, -0.2, -5732, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -478 + 9080\/19. Suppose -z = -8 + 3. Which is the closest to 2? (a) o (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 526592 and 95744.\nAnswer: 1053184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z. Let h be -2 - 1 - -4 - 2. Give p(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5748*w - 2258*w - 1919*w - 1754*w.\nAnswer: -183*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97*i**4 + 98*i**4 + i**2 + 0*i**2 - 9*i**3 + 5*i**2 + 2*i**3.\nAnswer: i**2*(i - 6)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiigiiiiigiiipii. What is prob of picking 1 p, 1 i, and 1 g?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = 3. Suppose -m*z + 59 - 62 = 0. Let n = 1.9 + 0.1. Sort n, -0.5, z in descending order.\nAnswer: n, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10908?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/9 - 1347014*x**3\/9 + 33600915004*x**2 - 2514513273919560*x + 2514479673154224.\nAnswer: 2*(x - 224502)**3*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 4. Let r be m(4). Let a(o) = -5*o**2 + r*o**2 + o**2 + o**2. Let v(n) be the first derivative of -n**3\/3 - 652. Give v(a(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.042, -694, -1\/3?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17*i**2 + 279*i - 495. Determine s(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 3*p)*(1 + 3 - 5) + (3 - 2 - 6)*((-5 + 4 + 4)*(-2*p + 1 - 1) + 4*p - p + 2*p + (2*p - 2*p - 2*p)*(-1 - 2 + 2)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1176\/4*117\/351.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 11. What is u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18 = -202. Suppose -q - 3*q = -z. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 1. Determine q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3911755 divided by -13.\nAnswer: 3911755\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3671.2 (b) 34 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -741954225*p**2 + 686921393 wrt p?\nAnswer: -1483908450*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/12 - s**4\/24 - 35*s**3\/6 + 59*s. Let h(u) be the second derivative of b(u). Give h(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 m, and 1 f when four letters picked without replacement from mnxmfmmyfmnfmxxffn.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-3))\/k**(-26\/5) assuming k is positive.\nAnswer: k**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let g = 3 + o. Let m be 6\/9 - 22\/24. Put g, m, 0 in increasing order.\nAnswer: m, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s. Suppose s = -4*v + c + 32, -c - 2*c = -12. Solve 0 = 4*k + 7 + v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -1\/2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/5? (a) 0.2 (b) -967 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 2. Let t be z(-4). Let g(u) = -3 - 2*u**2 + 2*u + 3*u**t + 0*u**2. What is the units digit of g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 339.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 15*r + 1165 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 8:37 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:08 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 = 4155\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 9865701?\nAnswer: 118388412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 + 1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250779 and 227151?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/30*135\/(-27). Put -25, -3, 0, s in decreasing order.\nAnswer: s, 0, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -600c28?\nAnswer: -600c2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.5, -175, 0.5 in decreasing order.\nAnswer: 8, 0.5, -0.5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -7. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from tbtbbtbbbttbtttbtbb?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3337642062 to the power of 1\/2, to the nearest integer?\nAnswer: 57772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 e when three letters picked without replacement from {m: 9, e: 2, z: 1, w: 2, p: 3, f: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**4\/24 + 2*b**3\/3 - 3*b**2 + 2. Let y(k) = k + 3. Calculate 4*x(a) - 6*y(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**5\/3 + 55*f**3\/3 - 30*f**2 + 40*f\/3 = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**3 + q**3 + 159*q**2 - 149*q**2 - 4*q**5 wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107421 = 80*f + 338141. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t**2 - t + 1. Let g be (0 - (-1 - -4)) + 6. What is the units digit of n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let t(l) = 9*l**2 - 12*l - 7. Let q(r) = 5*r**2 - 6*r - 4. Let y(c) = -7*q(c) + 4*t(c). Give j(y(w)).\nAnswer: -w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*k + 4 = 0, 2*r - 15 - 1 = 4*k. Let q be -2 + (-1 - -2) + 10. Suppose 2*x - 17 + q = 0. Calculate the greatest common factor of r and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217589639 to the nearest integer?\nAnswer: 14751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 40*i - 4. Let y be (-3 - 7)\/((-2)\/4). Let b be r(y). Put -14, b, 4 in ascending order.\nAnswer: -14, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 0.096 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjetlzzlzttv. Give prob of picking 1 j and 1 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17696391*r**2 + 1049366*r + 1?\nAnswer: -35392782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*8\/(-18)*16\/192?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10*s + 16. Give w(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1154447481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - 4 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-12))*(-40)\/(10640\/38)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:36 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -18336, -3, 10, 9, 4 in increasing order.\nAnswer: -18336, -3, 4, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3092, 3116, 3126, 3116, 3080, 3012, 2906, 2756?\nAnswer: 2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 1388, 4, -2 in ascending order.\nAnswer: -2, 2, 3, 4, 1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. What is the units digit of (-18)\/(-3) + 0 + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1\/(4\/(-22)). Let y be (-28780)\/(-220) + 2\/n. Let a = y + -52. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -64. Let x be l\/36 - 10\/(-15). Is x not equal to -1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let w(d) = d**2 + d + 1. Let k be w(0). Let b = k - 3. What is the closest to 2\/5 in t, 3\/7, b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -16. Let w be ((-2)\/z)\/((-3)\/(-120)). What is the remainder when 514\/w - 2\/16 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2.6 (b) -3 (c) 2\/3 (d) -95459\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1677495 divided by -111833.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**3\/2 + 8*v**2 + 10*v + 1. Let y(c) be the first derivative of i(c). Let w be y(-11). Is -17 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1638 divided by 18\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.086 + 0.786. What is the third smallest value in n, -2\/7, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0.3, -0.1, -61, 5 in increasing order.\nAnswer: -61, -0.1, 0.3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (101*a - 885*a - 834*a)*(3 + 0 - 5)*(8*a + 4 - 4) in the form s + k*a**2 + h*a and give k.\nAnswer: 25888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z. Let u be 2\/(z + 1 + 1). Let h = 180 + -180. Put h, u, -3 in descending order.\nAnswer: u, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100787 is divided by 116.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340 or -2\/5?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**2 - 18 + 18 + 13*h**2 + 21*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*k + 2*k + 2*f, 0 = -k - 4*f - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*-5 - 2*sqrt(156)*4)\/((sqrt(12) + 2*sqrt(1728) + sqrt(12))*6).\nAnswer: sqrt(13)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - 1.8. Which is the biggest value? (a) -4 (b) o (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*x - 3*h, -1 = 4*x - 2*h + 9. Suppose -16 = 4*u - 56. Let q be (u\/15)\/((-1)\/(-6)) + 3. Solve -q*r + 2*r = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -t - 30, -l - 95*t + 89*t + 15 = 0. Solve 3*x + 26 - 16 = 2*r, 3*r - 3*x - l = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10429 divided by -1?\nAnswer: 10429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9693623 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8333 or -8154?\nAnswer: -8154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s = 152. Let a be s\/(-4) - (-3)\/(-6). Suppose -2 = b - a. Calculate the remainder when 19 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3820 - 3816. Which is the third biggest value? (a) h (b) 10.3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -14, -39, -100, -215, -402, -679, -1064?\n\"Answer: -3*o**3 + 9*o**2 - 13*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3333 - 3331. Solve q = i*m - 50 + 39, -5*q - 2*m = 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -360, -1285, -3112, -6147, -10696?\nAnswer: -17065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2)\/v)\/(v*(v**8\/v)\/v))**(-1\/48) assuming v is positive.\nAnswer: v**(5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 5*b + 2711 - 2561 = 0. Solve -368 + 298 = b*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + t**2 + t. Let n(y) = y**3 - 7*y**2 + 4*y - 8. Let s(q) = n(q) + 2*o(q). Determine s(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20889*i + 10773*i**2 + 20889*i to the form q*i**2 + s*i + f and give q.\nAnswer: 10773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -286, -320, -274, -64, 394?\n\"Answer: 14*r**3 - 44*r**2 - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6325 - 6320. Sort y, -1\/4, -5, 12, -2 in increasing order.\nAnswer: -5, -2, -1\/4, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -51. Put v, 4, 0 in decreasing order.\nAnswer: v, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 11341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -250589*c - 3257660. Calculate g(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86197360 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26807950 + -26806778.9393. Let g = 1171 - b. Round g to 3 dps.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 28558, 2\/7, 183 in descending order.\nAnswer: 28558, 183, 5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14674\/70)\/11 + (96\/(-210))\/8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 20*z - 8 = 22*z, -f + 4*z + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 948.64 + -3.64. Let k = -945.509 + y. Let f = 0.009 + k. What is the second biggest value in 0.5, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 88\/5 of a gram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j = -41*j - 5*g - 21733, 4*j = -2*g + 21782. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 143 = 134. Let z = -0.08 - 3.92. What is the closest to 1 in -2, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71927.8315 to the nearest ten.\nAnswer: -71930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 4*o - 55, 19*o = -m - 12*o + 34*o + 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/8)\/(9\/108). Is 13 a factor of 131*(4 - 1)\/9*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 31*r**2 - 101*r - 2111. What are the prime factors of p(-43)?\nAnswer: 2, 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2 + 197420*y + 210880800 = 0?\nAnswer: -97630, -1080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 6659?\nAnswer: -6660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2604\/(-1674) - (-369)\/81?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznnnnznzzznnz. What is prob of picking 3 n and 1 z?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 187*n**2 + 5*n + 1. Let y be a(-4). Suppose 0 = -40*k - 8*k - 240. Is 1*y*k\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 5. Sort l, -3, 0 in increasing order.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 - 0.81. Sort l, -2\/3, 1\/11 in decreasing order.\nAnswer: 1\/11, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:20 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 11 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 79758?\nAnswer: -31903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, 6, 24, 44?\n\"Answer: v**2 + 13*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 293 = q + 3*u, -4*q + 1172 = 3*u. List the prime factors of q.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178070682.\nAnswer: 2, 3, 17, 137, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, -5 in descending order.\nAnswer: 2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 691989621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1347415, 2694822, 4042221, 5389612, 6736995, 8084370, 9431737?\n\"Answer: -4*r**2 + 1347419*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(243)) + (-1*sqrt(243))**2 + sqrt(243) + 4)*-4*-3*2.\nAnswer: 1080*sqrt(3) + 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32 (b) -4 (c) 3 (d) 5\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a + 62*a - 29*a - 19*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*a**6 - 3473021*a**4 - a**2 + 228*a - 40944?\nAnswer: 2160*a**3 - 83352504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 1. Let k be y(5). Suppose 2*h - 80 = 5*d, 3*d + k = 2*d. Let p be (28\/12 + -4)*(1 + -4). Solve p*o - 5*q + h = 0, -2*o - 2*q + 5*q = 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -5 (c) 133 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/(-4))\/(-18)*264\/33)\/((-644)\/2)\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3207 is divided by 472.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {c: 6, i: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 206569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + f**2 + 112. Let v be g(0). Suppose -4*k - v = -2*q + k, q - 4*k - 50 = 0. Is (-12)\/q + 981\/11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15734 - 21185214.\nAnswer: -21200948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/47 and 25\/620521.\nAnswer: 29164487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 160*p**2 + 165*p.\nAnswer: -5*p*(p - 33)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15742 or -15724?\nAnswer: -15742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 - (-1)\/(-3). Let j = 1036 + -2023\/2. Find the common denominator of 29\/(-5) + (-1 - g) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20*f = 0. Suppose f = 18*z - 15*z - 1800. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6, 3*d + 94 = 2*z + 388. Suppose 2*r - d = -5*p + p, 2*p = 4*r + 38. What is the remainder when 137 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -96204328 and -0.2?\nAnswer: 96204327.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:40 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 5*s**2 + 7*s - 1. Let b be i(6). Let t(q) = 3 - 1 - 4*q + b*q. What are the prime factors of t(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2449*i - 54. Is t(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(32))**2*-5 - ((sqrt(224)\/sqrt(7) - sqrt(32)) + -2)**2.\nAnswer: -1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 2*i - 2. Suppose 4*d - 22 = -5*c + 4, -16 = -2*c - 3*d. Give q(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533.448925 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.734 to two decimal places.\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -6, 9 in descending order.\nAnswer: 9, 6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*m = 2*m - 27, -4*s - 4*m = -4. Suppose -40 = -14*t + s*t. Suppose -6*g + 2*g + 714 = t*h, 0 = -5*g - 20. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/55 and -46\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.2 - -15. What is the second biggest value in -5, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j + 2. Let g = -7 - -7. Let o be (-32)\/18 - (4\/18 + g). Which is greater: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4512 - 49630\/11. Which is the third smallest value? (a) l (b) 0.1 (c) 0.3 (d) -1\/4 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -37*i + 3. Let m(s) = 37*s - 4. Let r(d) = -3*m(d) - 4*u(d). Let a(y) = 2*y**2. Calculate a(r(l)).\nAnswer: 2738*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-5) - (-2)\/5. Let w = 389661 - 389659. Which is the nearest to 2\/3? (a) r (b) -0.05 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p - 237. Let i = -67 - p. Suppose -o + i = o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.4 - 20. Let z = 10.8 - 10. Let j = z + -0.8. Which is the nearest to j? (a) 0.3 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(((-23968)\/96)\/107)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2917 is divided by 485.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/7 or 30\/223?\nAnswer: 30\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 - (-2 - 6\/3). Suppose -5*g = -24 - a. List the prime factors of g\/(-14) - (-218)\/14.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74510, -74508, -74504, -74498, -74490, -74480, -74468?\n\"Answer: u**2 - u - 74510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cncnynmmczr. Give prob of picking 2 n and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1.3.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 7:39 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 10 = -q, 5*q - 2175 = -2*v - 2177 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30150 - 29827. Calculate the remainder when 1353 is divided by k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 5 + (-1 - -3). Let u(l) = 2*l**2 - 3*l**2 + 2*l**j + 0*l**2. Let z(n) = 5*n**2. Calculate z(u(x)).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140\/3 + -45. Suppose 4*j + 1 = -2*v + 3, 4*v + 14 = j. Let o be 2\/4*(-2)\/6. Which is the third biggest value? (a) j (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/93 in 1\/110, 24, -2?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/3 + 24*a**3 + 3304*a**2 + 210112*a\/3 + 307328 = 0. Calculate a.\nAnswer: -28, -6, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 3 + 7 + 4 in the form y*d + m*d**2 + o and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 - 1 = -4*j, 4 = -c - 4*j. Let y = 2 + -1.9. Is y less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 2. Let y(l) = -6*l - 11. Calculate 22*s(k) - 4*y(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 46. Let i(v) = -2*v + 6111. Determine i(g(k)).\nAnswer: -4*k**2 + 6203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/3 + 28\/(-84). Does 33 divide 4 + -2 + 1*(d - -102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228)*2 - sqrt(228)) - sqrt(228)) + sqrt(228))\/sqrt(12)*4 - sqrt(152)\/(sqrt(88)\/(sqrt(66)\/sqrt(6))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 + 12*d + 567\/5.\nAnswer: -3*(d - 27)*(d + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 8*p + 175. Let t = p + 39. Let u(i) = 34*i**2 + i - 4. Is u(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2\/2 - 6*v - 6. Calculate p(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2136434640, -2136434642, -2136434646, -2136434652, -2136434660?\nAnswer: -2136434670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3795 and 734613?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5312 divided by 1328\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17760 is divided by 8874?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/8918)\/((-124)\/403)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 6*o**2 + 16*o + 63. Give x(-5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684917636.\nAnswer: 2, 13, 1657, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**0\/g*(((g**(1\/2)*g)\/g)\/g)\/g*g)**(-14\/11))**(7\/6))**(25\/4) assuming g is positive.\nAnswer: g**(1225\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 + 6*d - 6. Let l be j(0). Is 25\/((-25)\/l) + 1081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*b**5 - 167034*b**4 - 146466715*b**2.\nAnswer: -3900*b**2 - 4008816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 3*a**2 + 2*a + 1. Let m(d) = -4*d + 0 + 0*d + 2 + 0*d. Let y be m(1). Let s be q(y). Solve 0 = -5*k + 26 - s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1013406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11781 or 1\/3?\nAnswer: -11781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/50*60\/24.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101075439 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10009 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9277, 2\/77, 2\/13 in ascending order.\nAnswer: -9277, 2\/77, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -64, -100, -138, -178, -220?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**3 - 7*g**3 + 26 + g**3. Let m(f) = -12*f**3 + 26. Let a(k) = 6*m(k) - 5*t(k). Differentiate a(d) wrt d.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 20689750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0 - n - 1\/60*n**5 + 0*n**3 + 1\/90*n**6 + 0*n**4 + 0*n**2. Suppose b(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 3*s. Let x(l) be the first derivative of 2*l**4 - 10*l**2 - 21. Give -20*i(o) - 3*x(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:32 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 1, -12, -132, 0, 2 in ascending order.\nAnswer: -132, -12, -9, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*c**3 - 800*c**3 + 405*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.4, -565\/2, -4, -3?\nAnswer: -565\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**4\/8 - r**3\/3 + 4*r**2. Let z(s) = 16*s + 11. Let l(u) = 33*q(u) + 6*z(u). Let o(k) = -2*k**2. What is l(o(w))?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -5*j - 48. What is the remainder when 35 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -9. Let d = 2.8 + -3. Let h = d + 0.2. Which is the nearest to -0.1? (a) w (b) h (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z + 27*z - 804 = -10*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1104, 1118, 1134, 1152, 1172, 1194?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y + 3, 5*w - 5*y = 10. Let l be w\/(-3*1\/2355). Let s = -528 - l. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p**6*p)\/p))\/p**(-3))**29)**(-2\/61) assuming p is positive.\nAnswer: p**(116\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -323 + 5?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 746344881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 9:59 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in months?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -60. Suppose 7 = 5*o + 2*x, -o = -3*x + 3 - f. Calculate the least common multiple of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162040453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 2235\nAnswer: -2\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 - 28*f - 9. What is n(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 5*l. Suppose r - 4*r - 6 = 0. Let i = 2 + r. Suppose -j = -i*j - 7. Let t(s) = -s**2 + 7*s. What is j*f(n) + 5*t(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*k + 33*k - 18*k + 30*k.\nAnswer: 180*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 274\/9 or 29?\nAnswer: 274\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-7)\/(28\/(-8)). What is the third derivative of 4*r**k - 7*r**5 - 5*r + 5*r wrt r?\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1449*x + 2947. Determine y(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 6*z - 2. Let t be l(-6). Let w = -72 + 194. Let r = w + -117. Which is the closest to t? (a) -0.4 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 11:18 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23649569 to the nearest integer?\nAnswer: 4863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -325 - -113. Let u = -137 - d. Let q = u + 198. What is the greatest common divisor of 39 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let d = 133.62 + 36.68. Let k = d - 170. What is the third smallest value in 0.2, -1, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*n**2 - 35*n**2 + 148*n**2 + (-n**2 - n**2 + n**2)*(9 + 0 - 1).\nAnswer: 163*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-224)\/(-9))\/4 - 70\/315. Let y be (4 - 5)*r\/(-45). Let 0*l**3 - 4\/15*l**2 + y + 0*l + 2\/15*l**4 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j + 19. Let g be f(7). Let l = 33 + g. Let x(s) = -2*s**3 - 4*s**2 + 4*s - 4. Is x(l) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39930732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 120. Let g = w + 2. Let h be 1\/(g\/(-15) + 3). Solve -h*v = -16 - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 bigger than -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1055 + 1.43\nAnswer: 1056.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 602838 divided by -321\nAnswer: -1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 123, 247, 373, 501, 631, 763, 897?\n\"Answer: l**2 + 121*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1312381381 divided by 7351\nAnswer: -178531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 - (-5 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - 4*sqrt(102)*-6) + sqrt(102) + -5*-3*sqrt(102))\/(-6*(sqrt(150) + 3*sqrt(150)*-3)).\nAnswer: 7*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**3 + 99*p**2 - 765*p - 867 = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139 or -16270\/117?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1 - 600\/(-595)). Let o = w + 129. What is the highest common divisor of o and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -0.07, 0.5 in increasing order.\nAnswer: -0.07, 0.5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + 735602?\nAnswer: 735565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24827 - -24815. Which is the third biggest value? (a) -1 (b) l (c) -2\/3 (d) 14\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*s + 48*s - 2. Suppose -s*i - 2*i = 24. List the prime factors of i\/(-4 - -6) + 25.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkcmmkzkzkkczkkzkkoz. What is prob of sequence occz?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 - 2560*i\/9 + 819200\/9.\nAnswer: 2*(i - 640)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196596417.\nAnswer: 3, 1951, 33589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1774*q**2 - 1395728206\/3 - 1573538*q - 2\/3*q**3.\nAnswer: -2*(q + 887)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a. Let s be -4 - 18\/(0 - 3). Let y(m) be the first derivative of -5 - 1\/2*m**s + 0*m. Calculate y(f(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72712, -72711, -72710, -72709?\nAnswer: -72708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5613 - -1 - (-1 - -2). Let k be (-3 - (-12 + -2))*i. Suppose -13*n = -k + 25772. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/95 - 111\/15. Let f(p) = p**2 + 10*p + 8. Give f(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 630.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 171 - 171 + 28*l in the form q*l + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90232?\nAnswer: 2, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 1892*z + 831680.\nAnswer: -(z - 2260)*(z + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.73 + 1.29. Let q = x - 147.02. Let u = q + 145.0000073. Round u to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + -3 + -3*sqrt(637) + (-5*(sqrt(637) - ((1*sqrt(637))**2 - sqrt(637))) - sqrt(637)) + 3.\nAnswer: -98*sqrt(13) + 3177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15609*y + 93345. Calculate g(6).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-2)*(-8316)\/(-4620).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 12*a - 5. Let k be r(11). Let w(v) = k*v**2 + 12 - 21*v**2 + 4*v + 12*v - 3*v - v**3. Does 10 divide w(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 0 + 0*s**2 + 3\/5*s**3 - 6\/5*s**4 + 0*s + 3\/5*s**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 99*x - 715. What is h(-39)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 47. Suppose -4*j + 136 + 88 = 4*g, 164 = 3*g + 5*j. Let h = g + f. Is h less than or equal to 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d + 0*d + d - 5 + d + 5 - 2*d - 3*d + 6*d + (1 - 1 + 2*d)*(-2 - 4 + 4) to q + u*d and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118096796*t + 59048217*t + 59048576*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/120 + v**5\/12 - 13*v**4\/24 + 11*v**3\/3 + 49*v**2. Let j be m(-7). Calculate the highest common divisor of j and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 43, 42, 41?\n\"Answer: -a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 43. Let n be c(10). Suppose -n*w - 2*v = -19, -w + 21 = 4*w - 2*v. Suppose w*b = -b + 450. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1536599378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21 - 2)\/(31\/(-2759)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 1104.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35612433460 and -500.\nAnswer: -35612433960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36390 - 36390. Solve 4*b + 76*p - 72*p = v, -2*p = -3*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**2 + 3*d - 5. Suppose -2*f + 206 = -4*t + 2*t, -2*f + 207 = -3*t. Let g = -107 + f. What is the units digit of x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + 56 - -2 - (90 + 3 + -82)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 1235?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39919423 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10284 - -10286. Solve -2 = 3*f + b*u, 0 = 20*f - 24*f - 3*u - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2252.61 + 1471. What is q rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - 2*k + 343. What is the hundreds digit of c(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*w + 1737, -6*w + 10*w - 1402 = -3*a. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**4\/8 - 3*g**2\/4 - 2. Solve r(w) = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030*i - 1031*i + 42 = 0. Solve 80*m - i = 86*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 1, 3, -362, -0.2.\nAnswer: -362, -0.2, -0.08, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 793375, 793376, 793377, 793378, 793379?\nAnswer: 793380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-3 - -2 - -10). Suppose -5*p + 4*v + 70 = -g, 2*p = -3*v + 27. Calculate the remainder when 118 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - r = -4, b = -3*b - 5*r + 18. Let m(x) = -3*x + 19 + 0*x**3 + 0 - 3*x**3 + 2*x**3 + 10*x**b. What is the tens digit of m(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18971878.6 to the nearest one hundred thousand.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -43*m - 19. List the prime factors of z(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*140186\/29. Suppose 6*r - 877 = x. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/120 + u**5\/3 - 11*u**4\/12 - 19*u**3\/6 - 7*u**2 - 25*u. What is the hundreds digit of h(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13364? (a) -2 (b) 3 (c) -0.4 (d) -2\/7 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -44, -35, 8, -2 in descending order.\nAnswer: 8, -2, -16, -35, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 8*u - 8. Let d(g) = g**2 + g. Let b(j) = 5*j**2 + j - 5. Let a(r) = b(r) - 6*d(r). Give -8*a(l) + 5*q(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at least -7\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 19*d + 371. Suppose 2*w = m + 3 + 7, 3*m + 4*w + 80 = 0. Let s be o(m). Sort s, 1, 4 in decreasing order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 2*s - 2. Let i(y) = y**3 - 10*y**2 + 37*y - 47. Let d(k) = -i(k) + t(k). Let d(x) = 0. What is x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 754054*c**3*h**3 + 23*c*h**3 - 121599840*h**3 wrt c.\nAnswer: 2262162*c**2*h**3 + 23*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16631.\nAnswer: 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9*i + 8*i + 7*i)*(0*i - 4*i + 5*i) + (-2*i**2 - 4*i**2 + 4*i**2)*(-6 + 3 - 1) + (0*i**2 + i**2 - 2*i**2)*(-3 - 1 + 3))*(2*i**2 + 5*i**2 - 9*i**2).\nAnswer: -30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*t**3 - 50*t**3 - 57*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/13965)\/(176\/(-396)*3\/(-2)).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -51. Find the third derivative of 10*h**2 + 25*h**3 + r*h**2 + 22*h**2 - 8*h**3 wrt h.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (321\/5)\/((-6)\/(-30)). Suppose -5*y + 4*o = -s, -3*y - 2*o + 192 = -5*o. What is the remainder when y is divided by (-3 - -6)\/(-9)*-51?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 + 474*q**4 + 47801*q**3 + 1373628*q**2 - 765072*q - 22099392 = 0. What is q?\nAnswer: -348, -63, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukurkrkzrkkukrrrr. Give prob of picking 3 u.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(((-2)\/(16\/(-28)))\/((-756)\/(-27)))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (1280\/13)\/10.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 2119794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 4, x: 3}. What is prob of sequence xxxn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -1, -13, -31?\n\"Answer: -3*i**2 + 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxllexelll. Give prob of sequence ele.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -1 - (10 + -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/761 - 3074\/11415. Find the common denominator of 5\/4 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 363\/8 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = -12*h - 112. Suppose -4*r - 335 = -1455. What is the greatest common divisor of r and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 17 - -21) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/2)\/(-1))\/(8\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/5 - 64\/45. Let s = 12.944 + -11.944. Which is the closest to p? (a) s (b) -2\/15 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9833 or 9834?\nAnswer: 9833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/((-1)\/(-5)). Let b be 6*((-5)\/y - -3). What is the units digit of (-4 + (b - 2))*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.112657*-0.3.\nAnswer: 0.0337971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/65*-13*8\/(-6)*30.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-256)\/(-660) - (-186)\/341?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7002 - 77131\/11. Let c = 229\/22 + s. What is the biggest value in 1\/3, -0.1, -7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -569*s**2. Let q(v) be the third derivative of -5*v**4\/24 - 4*v**2 + 870. Calculate q(n(x)).\nAnswer: 2845*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46444*(-33)\/(-14586) + -106?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 83335.\nAnswer: 83334.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/(48\/9 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2497.1 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2344?\nAnswer: 5\/2344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64128 is divided by 530.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((38\/(-2907)*36)\/(-20))\/((-4)\/30*2).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 26*u - 68. Let k be p(17). Suppose 81*z - k*z = -14636. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 73 = 48, 5*v - 409 = -a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.631468 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 5*s + 3*s)*(-s + 0*s + 2*s) - s**2 + 0*s**2 + 3*s**2 + (17*s**2 + 5*s**2 - 6*s**2)*(-3 - 4 + 5).\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 2092*s - 21020. Give i(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -27*s**2 + 90*s**3 - 13*s + 4*s**2 - 89*s**3 + 32 - 12*s. Let f be u(24). Let o(g) = -g**3 + 9*g**2 - 5*g + 19. List the prime factors of o(f).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15644 * 408\nAnswer: 6382752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173541 is divided by 57841.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -66 - 7*n + 3*n + 74. Let v(t) = -1. Let i(f) = -11*f + 19. Let x(w) = -i(w) + 4*v(w). What is -17*s(d) - 6*x(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1999 is divided by 283.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/7 + 216*y\/7 - 2013\/7.\nAnswer: -3*(y - 61)*(y - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 69960*y**3 - 5*y + 5*y.\nAnswer: 69960*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.559 - -9111.441. What is the third smallest value in -1\/4, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 2. Let p(b) = 241*b**3 + 134*b**2 - 10. Let c(o) = 15*i(o) - 3*p(o). Find the third derivative of c(t) wrt t.\nAnswer: -4158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 3*z + 3. Let n be j(-2). Is n + -1*243*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 83038, 166194, 249348, 332500?\n\"Answer: -k**2 + 83159*k - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-2))\/(9\/(-18)). Let r(b) = -5*b**3 - 6*b**2 - 9*b + 10. Let p be r(l). Suppose 5*z - p = -h, 0 = -4*h - z + 2*z + 5871. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2. Let b(h) = 10*h - 14. Let x(f) = -7*f + 3. Let o(a) = -36*a + 18. Let y(w) = -5*o(w) + 24*x(w). Let i(u) = -4*b(u) + 3*y(u). What is i(v(m))?\nAnswer: -12*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/444 and -103\/1369588.\nAnswer: 152024268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/577 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932600 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1\/6*f**3 + 12*f + 0 + 7\/2*f**2. Let x be y(-11). What is the closest to 2 in x, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2893*h - 20609. Give x(-7).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.253288 seconds in weeks?\nAnswer: 0.0005791225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38883*a**3 - a**2 - 6*a - 8982.\nAnswer: -233298*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3579, 3637, 3733, 3867, 4039?\n\"Answer: 19*v**2 + v + 3559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**7\/420 + s**6\/180 + s**5\/120 + 5*s**3\/6 + 4*s. Let h(o) be the second derivative of k(o). Calculate h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 70 = -4*a, 3*f + 4*f + 206 = 93*a - 92*a for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18171015 by -3634203.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, j: 2, m: 1, b: 1, r: 1}. Give prob of picking 1 m and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111358496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 11*t - 6*t. Suppose 239*h - 3 = 238*h. Differentiate 8*c - 8 + h*c - t*c - 25 wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 7. Let s = 12 - 8. Let a(m) = 6 + 4*m**2 + 6*m**2 - 28*m**2 + m + 6*m**2 + 11*m**2. Let h be a(s). Calculate l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3 - 4*l**2 + 20*l - 12 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 1. Let j = -41 - -48. Let a(x) = 3*x - 2. Determine j*m(u) + 4*a(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3562 - 2142. What is the highest common divisor of u and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(5 - 5 - 2*t)*((t + t - 4*t)*(-4 + 4 + 2*t) + t - t - t**2).\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*x + 0 = 4, 0 = v - 4*x + 8. Let b = -7 + v. Let f be 3*((-4)\/(-6) + b). Solve 3*g - f*z + 6 = 0, -g = -2*z + 2 - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 0.1, 114 in decreasing order.\nAnswer: 114, 46, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {l: 5, p: 7, n: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1457 - -1467. What is the closest to -0.1 in -3, -1\/6, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24294?\nAnswer: 2, 3, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -614 or 1?\nAnswer: -614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 968512\/11 or 88046?\nAnswer: 88046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -110?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104647984668 + 104647983925.00000499. Let m = 743 + z. What is m rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*a + 11, -4*a = 1196*n - 1200*n - 20. Suppose 2*p + 2*p + 3*q - 140 = 0, 80 = 3*p - 4*q. Calculate the smallest common multiple of a and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*f + 35, -3*f - 5 = -11. Calculate the remainder when 12 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**3 + 8*g**2 - 18*g - 398. Let l(i) = 3*i**3 + 4*i**2 - 8*i - 199. Let b(p) = 9*l(p) - 4*q(p). Find the first derivative of b(z) wrt z.\nAnswer: 9*z**2 + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10, p - 66*c + 67*c - 51506 = 0. What are the prime factors of p?\nAnswer: 3, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i + 450 = 0. Let s be (i\/4)\/(6\/24). What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**3 + 25*h**2 + 99*h + 9. Determine u(-4).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153420 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11643781.\nAnswer: 89, 130829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/125 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000487721 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 1\/5 (b) 0.1 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from {h: 3, v: 1, j: 1, m: 3, c: 11}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 21 + -27 + 6 + (22 - 19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216040093, 216040092, 216040091, 216040090, 216040089, 216040088?\nAnswer: 216040087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 69294819 divided by -4857\nAnswer: -14267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6204 and -0.3308?\nAnswer: -2052.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - p**3 + 2*p**3 + 4*p**3 to s*p**3 + c*p + y*p**2 + f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 3857 + 11921 = 0. Let c = -579 - m. Let s = -2\/15 - -1\/3. What is the smallest value in s, 2\/19, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/6 - 13*g**2\/2 - 30*g - 2. Calculate k(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -0*m. Suppose 15 = -5*y - 5*g, -17 = 4*g - m. Solve 2*l = 4*h - 14, y*l + 8 = -2*h - 2*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 5*f - 7. Let z(m) = -2*m**2 + 11*m - 15. Let a(r) = -14*l(r) + 6*z(r). Let k = 299 + -307. Is a(k) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11371, 45083, 101147, 179569, 280355, 403511, 549043?\n\"Answer: b**3 + 11170*b**2 + 195*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 19*o = -14*o + 352 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/6 - 118*h**2\/3 + 13685*h\/6 + 14161\/3 = 0.\nAnswer: -2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481 + 1669 - 8*g**2 - 590 - 598.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798240 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/c)\/c*c**(-13\/5))\/(c**18\/((c*(c**(1\/31)*c*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-4583\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a + 40. Let m be 4 + (-12)\/2 + (-2 - -7). Does 13 divide s(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = -7, 3*j + 740 = -4*y. What is the common denominator of 127\/110 and (-2)\/(-8) - -321*(-7)\/j?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.470906 or -155\/3?\nAnswer: -155\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(3 + 9)\/4008*3\/12?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = 5*v + 41*v. Let k be (171\/36)\/19 + (-518)\/v. Calculate the greatest common factor of 20 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72b8b7 (base 12) to base 3\nAnswer: 10101122001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 g when four letters picked without replacement from {e: 3, g: 5, b: 6, t: 3}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5116*r - 138216. What is d(-27)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72052891 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)*t**(9\/7)\/t)\/(t\/t**(-14)*t*t**(-3)))**(3\/17) assuming t is positive.\nAnswer: t**(-414\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 1 + (5 - 1 - -3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8218 is divided by 8095?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1, -19, -996, 2 in ascending order.\nAnswer: -996, -19, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915854803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 5. Calculate the greatest common divisor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:04 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**2 + w + 1. Let x be i(-1). Let t(m) = m**3 + 8*m**2 + 6*m - 6. List the prime factors of t(x).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 37 (b) 0.1 (c) -0.1917 (d) 1 (e) -4 (f) -0.5 (g) 92\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 4, 0.5, -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115922 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k + 34 = 75*k. Let s = 49 - 51.7. What is the second biggest value in k, 3, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 - 55825*q**2 - 308728*q wrt q?\nAnswer: -20*q**3 - 111650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 10*q**2 + 11*q + 15. Suppose 5*g - 63 = 5*w + 3*g, 3*g = 2*w + 34. What are the prime factors of s(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*i**3 + 27*i**2 - 27*i**2 + (-3*i + 2*i - 10*i)*(-4*i + 4*i - 2*i**2) to k*i**3 + v*i + x*i**2 + f and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -deba (base 15) to base 13.\nAnswer: -1863a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 893262?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + w - 1. Let h be r(-2). Suppose 6*b = 3*b + h. Determine z so that 4 - 2*z - z + 3*z**2 + 0*z**2 - b - z**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {k: 5, q: 5, w: 6, c: 2, h: 1, g: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 + 221. Let t be 4\/(-18) - (-11510)\/(-45). Let j be t\/168 - (-4)\/6. What is the third smallest value in j, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(26 + 20 + 1)*(21*h + 2*h**3 - 21*h).\nAnswer: -94*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 12*b - 18. Let a(y) = -15*y - 18. What is the tens digit of a(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 51.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 9*n + 42 = 0. Let l(q) = q**3 + 6*q**2 + q - 4. What is l(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbwwwwkk. What is prob of sequence kkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4190 + -2184. What are the prime factors of f?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123975*y + 9758002.\nAnswer: 123975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = -u, 2*c - 5 = -u + 4*c. Solve -5*k - 13 = 3*w, 4 = u*k - w + 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 267\/1630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13364 and -0.091905?\nAnswer: 13364.091905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s - 6. Let l(n) be the second derivative of -2*n**2 + 23*n + 1\/6*n**3 + 0. Give l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2434990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11508 (base 11) to base 7\nAnswer: 66232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*f**2*s*u + 171102*f**2*s + f**2*u + 3*f*s*u + 331*f*s - 82*f*u - 2*s*u + 2*s wrt f?\nAnswer: 50*s*u + 342204*s + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 18*g + 9 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35933510 to the nearest integer?\nAnswer: 5994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.86 + 42. Let s be (32 + -29)\/(-1*1). What is the nearest to b in -5, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 123, 494, 1113, 1980?\n\"Answer: 124*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -25*k**2. Let z(a) = 3*a. Give z(j(t)).\nAnswer: -75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752086140.\nAnswer: 2, 5, 17, 137, 59083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m - 891 - 1473 = -215*m + 606 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -12 + -2 - -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 13, 7, -7, -29?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/15)\/(((-3)\/72)\/1). Let r(l) = -1 + 6*l + 5*l + u*l - 18*l. Let o(c) = -3*c + 4. Determine 2*o(p) + 4*r(p).\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 130 = 95. What is the remainder when 15 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/60 + y**4\/6 + y**3 - 3*y**2. Calculate the remainder when 29 is divided by w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 12*a**3 - 2*a**2 - 12*a + 14. What is the remainder when ((-68)\/(-10))\/(3\/15) is divided by s(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(972)*-2))\/(((sqrt(110)\/sqrt(2))\/sqrt(11) + sqrt(5))*-6).\nAnswer: sqrt(3)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {g: 6, s: 3, w: 2, d: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*j = -542*j - 2*r - 0*r - 31556, -2*j + 3*r = 130 for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2918 + 4*a + 2856 - 8631 + 2857.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4012 - -4156. Solve j = -24*g - 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*z - 43 + 7, -5*a + 30 = 5*z. Solve 2*p + z - 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10570 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104.5 + -117.548. Round r to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 83. Suppose 4*d - 209 = -3*a, -j*a = -d - 6 + 41. Suppose -n = -2, -d = -s - n - 0*n. What is the highest common divisor of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*-1*-5 + sqrt(1331) + 2 + 0 + sqrt(1331))*-2)**2.\nAnswer: 1232*sqrt(11) + 260892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 455*m**2. Let t(x) = -19057*x. Give p(t(w)).\nAnswer: 165242008295*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3562\/(-411) + 1*9. Let q(c) be the third derivative of 0 - w*c**3 - 3*c**2 - 1\/24*c**4 + 0*c. Determine q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5130*v + 9291 = -5872*v + 66425 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5834 + -3966. Suppose 13*q - 3553 = a. Does 43 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c + 584 - 584)*(0*c**3 + 3*c**3 - c**3).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829093.\nAnswer: 829093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 25\/19?\nAnswer: 25\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 8*s**2 - 9*s + 3. Let h be f(9). Let b be 9\/3 + h + 3. Suppose 0 = -z + 4*z + b. Which is smaller: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 46345448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1292\/272 - (-4986)\/72.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -243\/3736792 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(4*(sqrt(7) + (sqrt(7) - (2*sqrt(7) - sqrt(7))))))**2 - (((2*sqrt(1539))**2 - sqrt(1539) - sqrt(1539)) + sqrt(38)\/sqrt(2)*-1).\nAnswer: -98477\/16 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 306 * 1.46.\nAnswer: 446.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6. Let t be (-3)\/4 + (-2)\/(-8). Sort b, t, -1\/3 in descending order.\nAnswer: b, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(-17)\/(u**1)**(-1\/74))**(-15) assuming u is positive.\nAnswer: u**(4710\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2254 - 2254. Let h = 5 + -4. Let o be 5\/h + 1 + -1. Solve k = -v + f + 5, v + 4 - 21 = o*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -447838 (base 10) to base 12\nAnswer: -1971ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Let z = -8 + 17. Calculate the lowest common multiple of z and k*-3*(-2 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 170469, 340919, 511373, 681831?\n\"Answer: 2*h**2 + 170444*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/4 - (-6371)\/46. Calculate the greatest common factor of 51 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -26. Let x be g\/(-16) + (-6)\/40. Is x equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/14)\/(2\/7). Suppose 17 = k + 2*j + 16, -2 = 2*j. Solve 20 = -r*h - k*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and -43\/3830?\nAnswer: 22980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.794 - -4.234. Sort n, -3, -0.3 in decreasing order.\nAnswer: n, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -1)\/(-1 + -1). Suppose -4*p + 213 = q*v + 37, v - 174 = -4*p. Calculate the remainder when p is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -363 - -382. Let b = -20.7 - -0.7. Let m = n + b. Put 2, 0.01, m, -2\/5 in increasing order.\nAnswer: m, -2\/5, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.882 - 0.118. Let a = l + 55.4. What is the second biggest value in a, -5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -7. Suppose -v + 2*i + 11 = 0, -2*v - 2*v + i = -f. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a**4 + 0*a)*(44 - 212 - 6)*(0*a + 3*a - 2*a).\nAnswer: -348*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y + 6. Suppose -5*l - 3*x + 1462 + 95 = 0, 0 = -3*l + 2*x + 938. Suppose y*v = -11*v + l. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 11) to base 16.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 273903353 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 0*v - 3*v + (-1 - 2 - 1)*(0 - 3 + 1)*(3*v - v - 14*v) to the form l + y*v and give y.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-7))\/(440\/(-280)). Let u = -0.5 + 0.7. Which is the third biggest value? (a) m (b) u (c) -3\/5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)\/s**0)\/(s\/(s**(-3\/7)*s)*s**(4\/3)) assuming s is positive.\nAnswer: s**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 11835*o**2 + 59400*o - 592500.\nAnswer: -3*(o - 3950)*(o - 5)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.26 + -1.66. Which is the closest to -1\/3? (a) 1 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 + -109. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69375589 is divided by 1674.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -31, -41, -47?\n\"Answer: 2*o**2 - 20*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/21))**(3\/2)\/(l**18*l*l*l*(l*l*l**(-1\/6)*l)\/l*l) assuming l is positive.\nAnswer: l**(-466\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010720352 rounded to five dps?\nAnswer: 0.01072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*t**3 + 77*t**3 + 8*t**3 - t**3 + 2*t - 2*t + (0*t - t + 2*t)*(0*t**2 + 6*t**2 - 4*t**2) to the form a*t**2 + s*t**3 + w*t + d and give s.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6682 and 3164441?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(-147)*-2)\/((-16)\/(-6))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:46 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11441 - 11440. Suppose -12 = -0*q - 4*q. Which is the third smallest value? (a) 2 (b) 1\/5 (c) q (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:57 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698.98 hours in minutes?\nAnswer: 101938.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*160\/(-144)*3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:05 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3361, 3367, 3377, 3391?\nAnswer: 3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4849?\nAnswer: 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 26*s = 180*s. Sort s, 2, 150, -1 in decreasing order.\nAnswer: 150, 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52250279 to the nearest integer?\nAnswer: 7228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = -5*d - 590. Let x = 401 + d. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -754, -1190, -1662, -2164, -2690?\nAnswer: -3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3) + sqrt(3) + sqrt(48)*3).\nAnswer: sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7.13 times 6105\nAnswer: 43528.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5558 = 2*s - 5538, 3*s - 10 = -4*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - v + 1)*(-2*v + 3*v**2 + 2*v) + (-5*v**2 + 4*v**2 - v**2)*(-4 + 4 - 4*v) as i + k*v**3 + x*v + n*v**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 556 and 1709839?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32800 and 528840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12563 + -7187. Let n be 4\/14 - p\/(-49). What is the greatest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -532042*c. Let s(i) = 87*i. Determine w(s(q)).\nAnswer: -46287654*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -3, -1975 in decreasing order.\nAnswer: -3, -41, -1975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 601 - 155 = p, 4*x - 4*p - 568 = 0. Calculate the greatest common factor of 133 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37695 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from humfthtmthtmtutud. What is prob of sequence mtuu?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 224761341029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 12) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -51. Suppose 9*v = -34 + 142. Let r = p - v. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623167918 - 623167918 + 5*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 463*m - 237*m - 213*m)*(-4*m + 13*m + 10*m) as f*m + j*m**2 + s and give f.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 7:13 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(2*j - 250 + 393 + 123).\nAnswer: -4*j - 532","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 146*h**3 - 199*h**2 + 50*h.\nAnswer: h*(h - 1)*(h + 50)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t. Let p(y) be the first derivative of -y**2\/2 - 1. Calculate g(p(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001110010010 (base 2) to base 8.\nAnswer: 101622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(28\/3)\/(a*a**(-2\/39)))\/(a**41\/a**(1\/5)))**47 assuming a is positive.\nAnswer: a**(-99029\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 561*x + 14463 - 2645 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + -3 + (2205 - 2030).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/6*u**5 + 5\/3*u**3 - 5\/2*u - 15\/2 + 35\/3*u**2 - 25\/6*u**4 = 0 for u.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-6) - 4)\/((-5)\/(-15)). Suppose -2*s = -4*b - 26 - 198, 2*s + b = 209. What is the units digit of s*(v\/(-8) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3027 and 39?\nAnswer: 11.8053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -311 - 862. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451099 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9905 - -17404. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 28*i**2 + 21*i + 418. Is r(-18) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 633 - 94. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 309741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 452 and 14.\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-940)\/(-195)) + (-1)\/((-12)\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 26, 47?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 29*j**3 + 35*j**2 - 81*j + 75. Let s(t) = -16*t**3 - 17*t**2 + 40*t - 38. Let z(c) = 9*s(c) + 5*x(c). Calculate z(-24).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18769*x + 15712 wrt x?\nAnswer: 18769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 31*y**3 + 21*y**2 - 6*y. Let k(b) = -6*b**3 - 4*b**2 + b. Let t(x) = -11*k(x) - 2*u(x). Determine t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggnrgwrrrwjjng. What is prob of picking 1 g and 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - (13 - (12560 - -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252790181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -421 - -453. Calculate the highest common divisor of 160 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 886 + -608. List the prime factors of b.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 317*d + 1079. What is f(-4)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 56919*f**2 + 269952585*f - 270009507.\nAnswer: 3*(f - 1)*(f + 9487)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27760391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 less than or equal to -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*w = -4*w - 2, 4*w = -2*u - 14. Let j be 1 + (u + 6 - 1). Let x = j - 1. Solve 3*m + x*v - 10 = v, -2*v + 18 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gugyyuggug. What is prob of sequence uyy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3559 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -734 + 1465 - 729 + 1319*r as y + g*r and give g.\nAnswer: 1319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c. Let h(y) = -y - 5. Calculate h(w(g)).\nAnswer: -9*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.3 - -70.7. Let f = -1058518868 - -1058518958.9999959. Let n = i - f. Round n to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 12, -12, -76, -192, -372, -628, -972?\n\"Answer: -2*m**3 - 2*m**2 + 24*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*g - 286509, 3*i - 286497 = 13*g - 9*g. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 244, 243, 242, 241?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (5 - 1) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.145 + 77.855. Let a = o + -77.951. Let y = a - 0.05. Round y to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3702802 and 0.34 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 139115967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 32 = 4*h, -2*m - 19 = -9. Let l(g) = -2*g**3 - 4*g**2 - 3*g. Calculate l(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1542 and (0 + 14\/8)*(267 + 761).\nAnswer: 10794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716930*i + 1 - 1.\nAnswer: -716930*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0.278129?\nAnswer: -4.721871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/144 + (-58)\/18. Let y be n*(-14)\/6*1. Suppose -y*p = 16 - 2. Are p and -1.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*w - 0. Suppose -8*v = -4*v - 284. Let g = -67 + v. Solve 2*f + w*f + g = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 76, 165, 268, 373, 468, 541, 580?\n\"Answer: -2*s**3 + 25*s**2 + 2*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 0. Let w(g) = -g + 12. Let v be w(7). Suppose 5*n - 9 = 2*f + 5, v*f + 5*n = 0. Which is the third biggest value? (a) f (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*(((-646)\/95 - -9) + 1*-3). What is the highest common divisor of 4755 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100101223 + 103?\nAnswer: 1100101332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 8 + 13 - 94*v to r*v + t and give r.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 36 = -5*a. Let r(s) = -a*s - 2*s**2 + s**2 + 9*s. Let i(h) = 1. Let d(g) = -g - 1. Let p(z) = d(z) + i(z). Calculate p(r(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 39108 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/8 and 49\/832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 - 135\/(-9))*0. Solve 2*k = x, 20*y + 3*k - 4 = 24*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -6, -77, 5.\nAnswer: -77, -6, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (24 - 17) + -8 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6) + (-15)\/(-2). Let i = x + -19. Let w = i + 23. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-44))\/((-12524)\/4848)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15844 and 36?\nAnswer: 142596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(3*sqrt(980) + sqrt(980)))\/((sqrt(4) - (sqrt(12)*-1 - sqrt(12))\/sqrt(3))*-3))**2.\nAnswer: 62720\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7535? (a) 0.4 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 20 + 28 + 5*g**2.\nAnswer: 5*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002986302 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2526 and 0.01.\nAnswer: 0.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70509*g - 26 - 35255*g - 35254*g + 92 - g**2.\nAnswer: -g**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*s**3*v**2 + 37*s**3 + 1429*s**2*v**2 + 2*s**2 + 5*s wrt s?\nAnswer: -858*v**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (11 - (3 - 2)). Suppose -2*y + 0*y + u = 0. Suppose -b - 2*g - 13 = 3*g, -5*b - 2 = y*g. What is the smallest common multiple of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-33) + 4*(-9)\/(-44). Which is bigger: 2\/29 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 9*u - 69. Solve -3 = -u*c - 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*k, 16*c - 13*c + 8*k - 39 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 129, 200, 271, 342?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80 - 149*p**3 + 77*p**3 - 5*p + 77*p**3 + 80*p**2.\nAnswer: 5*(p - 1)*(p + 1)*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 12*m - 8 = 2*y - 14*m, 0 = -5*m + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*u + 2*q - 0, u + 2*q - 1 = 0. Does 27 divide u*((-53)\/2 - -3)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25632.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 10 = 4*d - 5*d + 5*y, y = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 126136, -5, -491, -2?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 151200770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g + g + g**2)*(5*g**2 - 4*g**2 - 2*g**2).\nAnswer: -g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*f = 4*f - 16, 8*b - 4*b - 5*f = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -47, -74?\n\"Answer: -27*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 4, q: 2, r: 1, b: 1}. What is prob of sequence lur?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8125 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347 - -49.73.\nAnswer: -297.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 21 - (-1 + 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**(-2\/21)*z**(3\/4)\/z**(-1\/12))**33 assuming z is positive.\nAnswer: z**(187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 981100 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*j - 4, 4*k - 2*j = -4*j + 4. Let p be 2\/11 - (-8)\/924*-54. Let m = -9 + 13. Sort k, m, -1\/4, p in increasing order.\nAnswer: p, -1\/4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*b + 3*b - 7, -10 = -5*c - 5*b. Suppose 0 = -4*j - j + 3*j. Let k be 6 - (j - (c - 1)). Solve 5*p + 15 = 3*y - 0*p, 12 = -4*y - k*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 36*s + 68. Let v be l(34). Suppose -f + 4*n - 6*n = -543, -4*f + 4*n + 2184 = v. List the prime factors of f.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**7\/2940 + u**6\/63 + 11*u**5\/60 - 121*u**4\/42 + 19*u**3\/2 + 19*u. Let s(g) be the second derivative of r(g). Factor s(w).\nAnswer: 2*(w - 2)*(w + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612387 is divided by 61238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 - 78*m**2 + 78*m - 70. What is q(-27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -20\/11. Let y be ((17 - 171\/(-418)) + -19)*(-56)\/10. Solve -28\/11*z + n*z**2 + y = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*(2*n + 1 - 1) - 2*n + 2*n + 2*n + n + 2 - 2 + (1 + 1 - 1)*(0*n + 3*n - n) - n + 5*n - 2*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 29*q**4\/12 + q**3\/6 + q**2\/2 - 44*q. Let f be z(-2). List the prime factors of 138\/f*(-285)\/(-2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-132)*5676\/1118.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u = 47*u - 1428. Suppose 0 = 3*d + 2*o - 2561, 0 = 3*d + o - 506 - 2060. Let x = u + d. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1 - 4) + -1 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 9*h - 9*h)*(-2*h**2 + 0*h**2 + 5*h**2)*(-2*h - 2*h + 6*h).\nAnswer: 60*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/4343 and -48\/4949?\nAnswer: 212807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-2)\/(-4)*4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2829 divided by 3\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -6, 4\/7, -5.\nAnswer: -6, -5, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/9 - 2\/3. Suppose 0 = h - b - 7, 5*b - 10 - 25 = -5*h. Suppose -h*d = y*d - 27. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132438 and -0.5.\nAnswer: -66219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797711 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 - 2*u**3 + 102*u**3 + 12*u**3.\nAnswer: 122*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1331000630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 2*sqrt(243) + sqrt(243) + 4 - (sqrt(243) + sqrt(243) + 2 + sqrt(243) + 1 + sqrt(243)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 + 170 = -158*i - 168 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2188, -2194, -2198, -2200, -2200, -2198, -2194?\n\"Answer: q**2 - 9*q - 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + x + 23, -19*k = -22*k + 2*x + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 3.34, 7, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 3, -2.97, 53, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 + 11. List the prime factors of f(4).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3551*d - 6675859. Determine q(1880).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztavtsa. What is prob of picking 1 z and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and 5.2.\nAnswer: -8.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-14*5\/(-10))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and -26?\nAnswer: 26.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2279*r**3 + 86 - r**2 + 1141*r**3 + 1137*r**3 as j*r + k*r**2 + v + z*r**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 5. Let z be a(8). Let x(s) = -s - 13. Let l be x(z). Determine c so that -2\/3*c**2 + 2\/3*c + l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19242 or 19019?\nAnswer: 19242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4749564 by -65.\nAnswer: -4749564\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*g**2 - 3)*(3 - 3 - g) + 4*g**3 + 2*g**3 - g**3)*(-40091*g + 39658*g + 0 + 2).\nAnswer: -3031*g**4 + 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14*(-4)\/60 + 2. Let a = -13\/5 + l. Find x such that 1\/3*x**2 - a*x + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4320669 is divided by 196394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 104*i**2 + 2. Let h(u) = 84669*u. Calculate h(x(m)).\nAnswer: 8805576*m**2 + 169338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 602987537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-11) + 2520\/(-110) + -10. Does 44 divide (2662\/d)\/((-4)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, -3, 1, -4 in decreasing order.\nAnswer: 15, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:18 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*h + 2, 1 = -3*v - 2*h - 4. Let i(q) be the second derivative of -q**3 - q**2\/2 + 3*q. Is 13 a factor of i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313841, -627576, -941311, -1255046, -1568781?\nAnswer: -1882516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-12 - (13 + -25)) + (-1 - -22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3 - 1 - g + 3. Suppose 2*j - 16 = 4*z, -4*j + 4 + 3 = -3*z. Let f be r(z). Solve -3*y = -f*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -128, -399, -776, -1259, -1848, -2543?\n\"Answer: -53*m**2 - 112*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 3b46b?\nAnswer: 3b451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493511447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6406 = -8*l + 6526. What is the greatest common divisor of l and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 83, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 5*d**3\/6 + 1312*d. Let u(o) = -22*o. Give -10*i(s) - 5*u(s).\nAnswer: 60*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5.04. Let a = -0.44 + t. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10232622 to the nearest integer?\nAnswer: 3199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675807879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, 58, -3 in decreasing order.\nAnswer: 58, -3, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 368921.8243801.\nAnswer: 368921.7243801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13788 is divided by 250.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 625 and 13875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 81920 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 687201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -375022291*u**4 - 36*u**2 - 16555*u - 30?\nAnswer: -9000534984*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59614 or -10?\nAnswer: -59614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0*f**3 + 2*f**2 + 0 - 1\/24*f**4 + 2*f. Let y(c) be the first derivative of o(c). Let u(a) = 4*a. What is y(u(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l**2 + 0*l - 7)*(-2*l + l - 4*l) + (-2*l + l + 2*l)*(l - 2*l**2 - l).\nAnswer: 3*l**3 + 35*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 52443*q**2 + 687540840*q + 687593284.\nAnswer: (q - 26222)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((14 - 5) + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = t + 8*x - 70, x = 2*t - 120. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 3*p**2 + p**2 + 7*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11154.145 - 11130. Let a = 24.7 - k. Let i = a - 0.814. Round i to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - ((-1508)\/(-174) + (-2 - 2)\/(-12)). Factor 0 + 8\/11*j**2 - 2\/11*j**5 + 4\/11*j**4 + 14\/11*j**3 + k*j.\nAnswer: -2*j**2*(j - 4)*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/388*(-2)\/(-3). Let f be (6 - 3)*1*41. Let d = f - 123. Which is greater: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*m = 7, 2*p - p - 4 = -3*m. What is the common denominator of 3*(p + (-38)\/(-4)) and (-4)\/(-22) + (-1164)\/1320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 12) to base 10.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let o be 0*2\/(-4) - n. Suppose h - o*h + 24 = 0. What is the greatest common factor of h and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2772 and 417978.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.3 - 2.2. Let s = 7 - h. Which is the smallest value? (a) s (b) 5\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 32434.1um?\nAnswer: 3.24341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4595 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:35 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5 and -27\/23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 12. Suppose -s*c + 12 = 0, 5*m - 10 = -c + 6*c. Suppose 5*z - 6*z + 5 = 0. Solve -m = -7*v + z*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (19 - 17) + -6 + 1 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.215 (c) -8 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -20, -77124 in increasing order.\nAnswer: -77124, -20, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-894)\/4)\/((-45)\/54). Let x = 267 - d. Let h be 2\/7*3\/(-2). Is h equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n**(-4)*n*n)\/(n**(-18)\/n**18) assuming n is positive.\nAnswer: n**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4872, 24057, 76142, 177579, 344820, 594317?\nAnswer: 942522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/40*935\/68.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 164, 206, 268, 356, 476?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 145 + 98 = -5*l, -5*m = -5*l - 5. Solve -7*h + l = -6*h + 2*n, 5*n = 2*h + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4224 - 4213. Calculate the smallest common multiple of 3216 and p.\nAnswer: 35376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2309 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 2 - r + 12*r**2 + 32 - 11*r**2 + 2*r as m*r + t*r**2 + l and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = -12. Let d be 12 + 2\/((-4)\/z). Calculate the highest common factor of 18 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383751+-11\nAnswer: 383740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -25*y**4 + 314610*y**3 - 990486340*y**2 + 4352554200*y - 1582564000 = 0.\nAnswer: 2\/5, 4, 6290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 28*u + 5. Determine k(-9).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -86*w**3 - 4*w**2 - 3*w - 7. Let o be x(-2). Put 1, o, 5 in descending order.\nAnswer: o, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 28*q. Suppose 3*j + 8*z - 10*z - 211 = q, -2*j + 3*z + 144 = 0. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 - 3*c - 10. Let a be o(-4). Suppose -2*p + 80 = a*g + 3*g, -15 = 3*p. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -953.644 and 0.040603.\nAnswer: -953.603397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(3*-1)*(-180)\/240.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -146025.\nAnswer: -1\/48675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 0.3, -2\/3, -1\/799?\nAnswer: -1\/799","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - v**2 - v**2 + 3*v**2 as m*v + f + t*v**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 19*l**2 + 40*l - 20. Give h(17).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1009 + -561. What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785329 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 + 332*t + 3752. Let v be g(121). Let o(b) = 2*b**3 - b**2 + 2*b. What is o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 27. Let s be k(-14). Let v(h) = -5*h - 1. Let a be v(s). Let t be (-104)\/39*(-18)\/a. What is the greatest common divisor of 84 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*d - d**4 - 177*d**3 - 16*d - 99*d**3 - d**2 - 4 + 69*d**3 in the form m*d**2 + w + a*d**3 + s*d**4 + q*d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79184168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -g, 0 = -2*r - 4*g + 22. Suppose -21 = -3*i + r*n, n = 4*i - 23 + 1. Suppose -25 = i*x, -d = 3*d + 4*x - 204. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64830.5*-0.043\nAnswer: 2787.7115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 615*k**4*t + 812*k**3*t**3 - 4843*k**2*t**3 + 12*k**2*t**2 + 4*k**2 - 2*t**3 wrt k?\nAnswer: 14760*k*t + 4872*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {t: 2, g: 1, k: 1, m: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c - 20 = 0. Let l be ((-3)\/c)\/((-3)\/(-2)). Let k be 6\/(2 + 1) + -2. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/26*13\/((-13)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 43 - 3*j**2 + 149 - 2*j - 50 to o + l*j**2 + b*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m = f - 1, 0 = -2*f - 5*m. Let i(k) = 2*k**3 - 2*k + 1. Let a be i(1). Let u(j) = -a + 1 - j**2 + 2*j + 7. Determine u(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 177893982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -40*g**2. Let m(n) = -9418415*n. Determine m(w(h)).\nAnswer: 376736600*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, g: 7, f: 2, k: 5}. Give prob of picking 4 g.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45119*y**3 + 776*y**2 + 28 wrt y.\nAnswer: -270714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 191822.1.\nAnswer: 191821.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 24*t**3 + 2*t**2 - 4*t + 3. Give r(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 47*x + 19 + 143*x to the form u + w*x and give w.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 9*f - 0. Solve 2*p = -n + 6*n + 8, p = 5*n + f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20085, -80352, -180797, -321420, -502221, -723200?\nAnswer: -984357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/21384 and 11\/45.\nAnswer: 106920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 5 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41382.9999995 + 41382.9. Let l = s + 0.1. What is l rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/189)\/(48\/(52416\/132)).\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202 + -86. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 59. Let i be k(-34). Let h(o) = o**3 + 6*o**2 - 21*o + 7. Let v be h(i). Which is smaller: v or -142\/3?\nAnswer: -142\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.439 + 0.1?\nAnswer: 1.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + -11 + 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -542\/33?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 + -0.5. Let q = 6469 - 6472. Suppose 3*s + 35 = -28. What is the second smallest value in q, s, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 29 = 5*b, 0*b + 3*b - 5*x = -5. Suppose 0 = -0*v - 2*v + 5*t + 1092, v + b*t = 561. List the prime factors of v.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**3 + 12*r**3 - 2*r + 2*r.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) -22\/15 (b) -7 (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -4542\/2951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*n - 1876 + 468 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 2.8. What is the second smallest value in o, -5, 11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-267)\/(-445))\/((-114)\/(-35) - 3).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 24*g + 3*q - 11 = 0, -2*g + 7 = 3*q. Let a(r) be the first derivative of 0*r - 1\/2*r**g + 4. Let h(o) = 5*o**2. Calculate h(a(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 114*o**3 + 41*o**2 - 27*o - 30. List the prime factors of z(5).\nAnswer: 2, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -114.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -327 + 1031. Let s = 64 - i. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 - (-52 + -11 + 31 - -29).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -18*j + 149. Calculate d(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -71, -63, -71, -101, -159, -251?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(7\/(1274\/(-112))).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1909 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8109594 and 193729190?\nAnswer: 1743562710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7956695*t**5 + 65409183*t.\nAnswer: 159133900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3495 + -0.7495. Let j be (-366 + -7)*(-1)\/(-246). Let w = 2\/123 + j. Which is the biggest value? (a) -1\/3 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 11:01 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b - 4. Let u(i) = -i**2 + 17*i + 44. Let s be u(19). Let t(k) = 7*k - 2. Determine s*d(r) - 11*t(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.0507 (c) 1\/3 (d) 42 (e) 4 (f) -0.23 (g) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 8*s**2 + 37*s - 59. What is z(6)?\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*p + 68*p + 82*p)*(-13*p + 31*p - 17*p)*(1 + 2 + 3).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Sort -2\/19, -1, c in increasing order.\nAnswer: -1, -2\/19, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4292110 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2104, 20, -2 in descending order.\nAnswer: 20, -2, -5, -2104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 6:41 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18e (base 16) in base 13?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2892 is divided by 843?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*b + 54556 = 247*b + 619*b + 5356 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-91.726359\nAnswer: -91.426359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-726)\/(-44))\/(-11)*1800\/54?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 11. Let r(d) = -1002*d - 3674. Let m(p) = 668*j(p) - 2*r(p). Let n(i) = -i. Calculate m(n(z)).\nAnswer: 668*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 234982 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Let m be (-1121)\/(-4956) + -1 + (-12)\/(-14). Which is the third biggest value? (a) m (b) x (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8962469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + (-77)\/(-14))*34. Solve d + 4*d + a = -2*s, d = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 57*a**2 - 10*a + 20. Let g be f(-28). Let k = g + 762. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15186803595 to 5 decimal places.\nAnswer: -0.15187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65b16 (base 14) to base 10.\nAnswer: 246392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 9?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**5\/120 + 22*p**3\/3 - 24*p**2. Let n(w) be the first derivative of s(w). Let y(b) = -13*b**2. What is n(y(f))?\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 680*a**2 - 1105*a**2 + 4*a - 3*a + 6824*a**2 to the form u + x*a**3 + y*a + h*a**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*n + 33. Suppose -2*b - k + 101 = 0, n*b + 5*k = 27 + 213. Suppose -13 = 2*f - b. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igii when four letters picked without replacement from gmmwiiiwiwimwmiw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 567190 (b) -2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxxlllx. What is prob of sequence xlgx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - 0. Let q = b - -27. What is the greatest common divisor of 154 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9. Let k(d) = 6*d**3 - d. Let g be k(1). Put 2, l, g in increasing order.\nAnswer: l, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 141?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -109 (base 10) to base 8\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:41 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48060?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39548 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*b + 4 = -w, -5*w = -5*b. Suppose 5*h + 20 = w*j, 7 = 4*h - 3*j + 22. Suppose -5*a + 85 = -h*a. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 418 and 8929943?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17.70732 micrometers?\nAnswer: 0.00001770732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1085 = -6*p + p. Let d(k) = -1375*k - 470219. Let f be d(-342). Calculate the highest common divisor of p and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.56 and 100819298913.71.\nAnswer: 100819298913.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -7)*(6\/(-8) - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 80b852 (base 12) to base 6\nAnswer: 111033342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Suppose 3*w + 2*x + 2*x - 2 = 0, -4*w + 1 = 5*x. Let j be 10\/w + 9\/3. What is the smallest value in z, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 261\/(-15) + 2\/5. Let m = q + 22. Solve 4*v - m*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = u - 13, -4*u - 13 = -4*m + 15. Let r be 1719 - (0 - -6)\/u. Suppose r = 2*b + 375. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 33*q + 33*q + 2*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.3 and -83.\nAnswer: 1601.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icczixiiiibcl. What is prob of picking 1 z, 1 l, and 1 x?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + ((-6960)\/2436)\/(10\/(-84))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696869?\nAnswer: 47, 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 25 + 34 = 0. What is the nearest to -4\/7 in -2, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (2*1*sqrt(75) - sqrt(75)) + 1 + 1 + sqrt(75))**2 + -3.\nAnswer: 100*sqrt(3) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = 3*o - 2, 5*v = 4*o + 5. Suppose g - m - 2*m - 88 = o, -3*m - 170 = -2*g. Calculate the highest common divisor of g and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**4 - 210*l**3 + 3060*l**2 - 17080*l + 23520 = 0.\nAnswer: 2, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 298*q**2 + 56*q + 7. Let y be i(5). Calculate the greatest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1201767 and 15432?\nAnswer: 9614136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 909, 18 in decreasing order.\nAnswer: 909, 18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -2\/7, 4723, 5\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242 + -214. What is the lowest common multiple of ((-6)\/(-21))\/(4\/u) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.21147 + 3034.11147. What is m rounded to the nearest 10?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -75*r + 637. Let o(g) = -41*g + 318. Calculate 11*o(v) - 6*x(v).\nAnswer: -v - 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 5*z**4\/12 - 4*z**3\/3 - 10*z**2. Differentiate q(j) wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -94*z**7\/21 + z**3\/2 - 16*z**2 - 114*z. Find the second derivative of j(l) wrt l.\nAnswer: -3760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/12)\/(67*29\/11658)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -6. What is the second derivative of 8*q**5 + 13*q + 8*q**5 + q**5 - d*q**5 wrt q?\nAnswer: 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4452 is divided by 4438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 13. Let t(r) = r - 4. Let z(s) = 2*s - 32. Let k be z(18). Calculate k*w(b) - 14*t(b).\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 121 = -1. Suppose 2*x = -x - n. Let q = -6 - x. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12193.\nAnswer: 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1542 + -9229\/6. Find the common denominator of -1\/1198 and a.\nAnswer: 3594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10 - 25 + 21 - p**2 + p. Let v be k(0). Suppose r + 145 = v*r. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38088, -36935, -35782?\nAnswer: -34629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/15 - i**4\/24 - i**3\/6 + 3*i**2. Let o be y(-1). Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9110 or 1102286\/121?\nAnswer: 1102286\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740421?\nAnswer: 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 98126*u**2 + 98126*u**2.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, t: 5, p: 3}. What is prob of sequence tfpt?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1261224 and 71\/46712.\nAnswer: 1261224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 579 = 5*y. Suppose -30*o + 31*o - y = 0. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(5*3\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 + 131. Suppose 4*x - 55 = j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 537 + -369. Suppose -u - 2*u = -b. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4553 - 2342*x + 25*x + 4553 to n + j*x and give j.\nAnswer: -2317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = -5*o, -7*o = 5*c - 3*o - 2. Suppose 3*d - c*b - 369 = 0, -b = -d - 0*d + 124. What is the highest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, r: 1, j: 1, y: 3, q: 1}. Give prob of sequence rjf.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 9*l**2 + 5*l - 11. Suppose 33 = 4*d + 3*b, -3*d - 2*d = 5*b - 40. What is the units digit of i(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1385*r - 684*r - 701*r + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/7))\/(r**(-6)\/r)*r\/(r*r**(-2\/5))*r**(-3\/16) assuming r is positive.\nAnswer: r**(4759\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/172368 and -7\/60264.\nAnswer: 16030224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1668, 6813, 15422, 27489, 43008, 61973, 84378, 110217?\nAnswer: 139484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.2 - -14.2. Which is the biggest value? (a) -2 (b) y (c) 0.097\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26+-3.58095729597\nAnswer: -3.84095729597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-20) - 0)\/(2\/(-10)). Let g be o*-21*(-8)\/(-9). Let h = 135 - g. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + -7 + (9 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*x - 17*x**3 + 157*x - 456*x + 150*x + 50*x**3 + 4*x**2 to v*x**2 + b*x**3 + o + w*x and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26834119265470 - 0?\nAnswer: -26834119265470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 938634, 938628, 938622, 938616, 938610?\nAnswer: 938604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j\/(j**(3\/8)\/j))\/j)\/j**(2\/9))\/(j\/((j\/(j\/(j*j*j*j**0*j)))\/j))**45)\/((j*j**(1\/8))\/j**3)**(3\/20) assuming j is positive.\nAnswer: j**(26693\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 5 + (-25 - -26).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19.29277 * 9\nAnswer: -173.63493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -5)*(-35)\/(-21). Let c(a) = 27*a + 209. Let u be c(-8). Put u, 1, m in decreasing order.\nAnswer: 1, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37034957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2543 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-340)\/(-48) + (5\/(-180))\/((-8)\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - 0.3. Let q = 871 - 11314\/13. Let m = q + -5\/26. Which is the nearest to i? (a) m (b) -0.5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 7*j**3 + 165*j + 153 + 25*j**3 - 43*j - 8*j**3. What is the first derivative of o(k) wrt k?\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5 = -7*w - y, -3*w - y + 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/7 - 4140*d**2\/7 - 4*d\/7 + 4140\/7.\nAnswer: 4*(d - 1035)*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -504 + 458. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*s - 83*s = -3*u - 25, -4*s + 23 - 18 = 3*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*f**4 - 10*f**3 + 10*f - 3 wrt f.\nAnswer: -108*f**2 - 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 786063327 + -786063264.000000352. Let i = j - 63. What is i rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccwg. Give prob of picking 1 g, 2 c, and 1 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 54. Suppose t - 12 = -2*t, -4*z + 2*t - 8 = 0. Let o be b(z). Suppose -3*n = -0*n - o. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526892 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: Simplify ((u**(1\/2))**(-8))**(7\/5)\/(((u*u**(2\/9))\/(u*(u\/u**(1\/3))\/u*u))\/(u*u*u**(-1\/3)*u*u*u**(-4))) assuming u is positive.\nAnswer: u**(-247\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*i**4 - 49*i**2 + 49*i**2 + (-i - 2*i + 2*i)*(0*i + i**3 + 0*i) to v*i**4 + m*i**3 + j*i**2 + z + f*i and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 24*g**2 + 22*g - 16. Let o be z(-23). Suppose 6*i - o*i + 4 = 0. Factor i*j**3 + 9*j**2 - 3*j + 421 - j**3 - 430.\nAnswer: 3*(j - 1)*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/14406 and 209\/12533220.\nAnswer: 12533220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -163, -696, -1601, -2884, -4551, -6608, -9061, -11916?\n\"Answer: -h**3 - 180*h**2 + 14*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2877 and 15.\nAnswer: 14385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 38710.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*a = 473*a - 6834 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.68705 + -17.76.\nAnswer: -11.07295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(52)\/(-1*sqrt(4)) + 2 + (sqrt(13) - (1*sqrt(143))\/sqrt(11) - -1*sqrt(1053))*-6)**2.\nAnswer: 39325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**5 - 2*u**5 + 3*u**5)*(19 + 1 + 0)*(0 + 4 - 2)*(-470 + 831 + 629).\nAnswer: 79200*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9546\/407)\/(-43))\/(1*4\/(-2))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 153a (base 15) to base 10\nAnswer: 4555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.7 + -762.7. Let n = p + 730.856. What is n rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.1. Let a = -75501 + 75496. What is the nearest to -1 in q, -2, 1, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1474578 and -85\/4482.\nAnswer: 1474578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 524 = -5*s, -s - 2*t + 55 + 57 = 0. Solve 0 = -11*q + s - 51 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 17 = -9*s - 4*t, 0 = -s + 4*t + 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*u - 5*u + 58, 4*u = 8. What is the second derivative of 4*q**3 - 2 + p*q - 25*q + 7*q**4 - 80*q - 72*q wrt q?\nAnswer: 84*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49329 divided by -189.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14403 (base 6) to base 5\nAnswer: 33212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11\/(x\/x**(8\/7)))\/(x\/(x\/(x\/(x\/(x*x**19*x))))*x*x*x*x\/((x\/(x\/(x\/x**(-1\/11))))\/x*x)) assuming x is positive.\nAnswer: x**(-983\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*y + 3*t + 1, -5*t - 6 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -37, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 20, 58, 116, 200?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 9*d. Let h be (d + 1)*(-10 + 0). List the prime factors of (8\/h)\/((-14)\/1645).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.09 - -17. Let n = c + 3.09. What is the second biggest value in -3, n, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 34 = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4046, 2, -0.07, -0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4842\/29 or 168?\nAnswer: 4842\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 20. Suppose 2*v = -14 + 38. What is the remainder when j is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 - 44 - 43*m)*((30 - 11*m - 30)*(1 + 3 - 2) - 3*m + 15 - 15) in the form c + t*m**2 + q*m and give t.\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(12) - sqrt(192)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - (5 + -6 - -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95980 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 30*w**2 + 33*w - 6. What is the units digit of d(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/120 + 3*b**5\/10 - b**4\/12 + 16*b**3\/3 + 55*b**2. What is the smallest common multiple of 16 and n(-14)?\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/12*28\/(-21). Let c = 49.926 + -50. Let l = c - 0.026. What is the third smallest value in l, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.69 + -0.31. Let m = -919 + 919. Which is the nearest to -5? (a) d (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-126)\/((33\/(-121))\/(6\/(-33))). Sort -5, 4, 1, -3, m in descending order.\nAnswer: 4, 1, -3, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**4 - 41*i**2 - 31*i**2 + 2*i**3 - 6 - i**3 + 57*i**2 as x*i**4 + c*i**2 + z*i**3 + d*i + k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0 - 1)*-20. Let i = k - 15. What is the third derivative of 59*v**5 - 60*v**i - 2*v**2 - 1 + 1 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6709 + -40157\/6. Find the common denominator of z and 14\/48*215\/35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tim when three letters picked without replacement from {n: 3, m: 1, c: 2, t: 2, i: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, o: 3, s: 7, i: 2}. What is prob of sequence ocio?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118343*v**2 - 99825*v + 1?\nAnswer: -236686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*v + 8 = 0, -4*r + 86*v - 85*v = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 10*j = 4*h + 28, 2*j = 0. Let l be (2\/h)\/((-540)\/140). Suppose 3*y + 4 - 1 = 0. Which is bigger: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(121)\/sqrt(99)).\nAnswer: 4*sqrt(11)\/3 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -73. Sort 2, d, -25 in descending order.\nAnswer: 2, d, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 193*r + 795. Determine f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-42))\/((-2)\/60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 27*h - 77. Let r be m(3). Suppose 2*i - r*v = 82, -2*i + 3*v + 69 = -9. Solve i = -3*p + 42 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(245) + 1*sqrt(245) + sqrt(245) + 1)*-2 - ((-2*sqrt(245)*1 - sqrt(245)) + 4 + 1*sqrt(245))**2) + 0.\nAnswer: -1003 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1662*q**2 + 2682034*q**3 - 1662*q**2.\nAnswer: 2682034*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 1520.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1334 - 17253?\nAnswer: -15818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -161821.8 rounded to the nearest 1000?\nAnswer: -162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 68*a + 2. Let b(c) = c**2 - 16*c + 24. Let x be b(8). Let m = 42 + x. What are the prime factors of w(m)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*6 + 5*sqrt(2)*4 + 4 + sqrt(200) + (sqrt(16)*3 + sqrt(16))\/sqrt(8))**2.\nAnswer: 848*sqrt(2) + 22488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*m + 24. Suppose 0 = -n - 3*p - 17 + 175, m*p = 5*n - 700. Calculate the greatest common divisor of n and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 10\/11, 0.1, -0.1811.\nAnswer: -1, -0.1811, 0.1, 10\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -r + 6*r + 3*y, -5*r - 4*y = -29. Let m be 27\/6 - 2 - (-6)\/12. Let w = r - m. Which is the closest to 0? (a) w (b) 1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {i: 6, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/83 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.3, 0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 88\/99*(-3 + 0)*-174.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19962*b + 9983*b = -10006*b - 216 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, 8, -0.156?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/162 and -47\/113841.\nAnswer: 2049138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/5, -37.24, -321?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11\/1715786?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*k - 5*d, -11 = -2*k + d + 10. Solve 0 = -5*a + 9 + k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = -3*d + 12*z - 159, -6*d + 9*d - 281 = 4*d + 113*z for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*b + 26 = 3*u + 158*b, 0 = 2*u + 2*b - 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -290370.9 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0, 10, -1 in descending order.\nAnswer: 25, 10, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2600 + -2595. Suppose v + 4*c = -v + 20, 15 = -3*v + 3*c. Suppose v = j*h - 3*o - 282, 2*h - 3*o = 7*h - 288. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 2, x: 3, h: 7, v: 1}. What is prob of sequence evhx?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/95 and -46\/133.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 + 780*m**3 - 1575*m**2 - 780*m + 1572 = 0.\nAnswer: -262, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 18. Let m = k - -8. Let s = 5 - m. Which is the second biggest value? (a) s (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -394 in ascending order.\nAnswer: -394, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 5, d: 4, h: 4}. Give prob of sequence dd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170070\/(-16600) + 11644\/1136.\nAnswer: 2\/415","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:21 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 590?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -172 + -121?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllhql. Give prob of picking 2 l and 1 h.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from {o: 5, k: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + 2*l**2 + 0*l**2)*(2 + l - 5*l + 5*l) to p*l**3 + t*l + b*l**2 + y and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 12:32 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41496 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 32417.\nAnswer: 291753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1)\/(18 + -15). Let x be i + (-4)\/(-16) - (-1239231)\/108. Let s = x - 11480. Find the common denominator of s and -101\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 391473706 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a century in years?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojoo when four letters picked without replacement from {j: 2, o: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273554719?\nAnswer: 273554719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4708, 4042, 3376, 2710, 2044, 1378?\n\"Answer: -666*w + 5374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 + 160 + 514\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 + w. Let g be p(1). Let o = g + 7. Calculate the remainder when 1\/((-6)\/(-4))*24 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33594438 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 1, a: 2, r: 1, l: 2, e: 1}. What is prob of picking 1 z, 1 a, 1 e, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1694 divide 58768119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-11 - (-6 - (52 - (12 + -27))))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**2 + 3 + 4*b**2 + 18003*b**4 + 2*b**3 + 2*b - 18002*b**4 to l*b**4 + g + n*b + h*b**3 + f*b**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 246399 = 989199. What is r rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67.489 in -3\/2, -1, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.816387767 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101012 - -2112020210?\nAnswer: 2112121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*t = -2*i + 9, -3 = 3*t. Suppose i*l - 3*b = 1204, 4*l - 2*b = 1094 + 110. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8414785.\nAnswer: 5, 29, 131, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -6\/13 (c) 0.1 (d) 5\/37 (e) -3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -24?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4 - (10 + -2)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*m - 34, 7*m + 49 = -2*a + 10*m. What are the prime factors of 15456\/15 - (-8)\/a?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1088085 and 12891360?\nAnswer: 3765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*-4*sqrt(1872)*2*-2 + (3 + 1 + sqrt(1872))**2 + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) - (sqrt(1872) + -3*sqrt(1872)))**2)) + 1).\nAnswer: 1728*sqrt(13) + 112422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/4 (c) 175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t**5 - t)*(-3 + 5 - 4) - 2*t**5 + 0*t**5 + 3*t**5 + t**2 - t**5 - t**2 + (-t**4 - t**4 + 4*t**4)*(-9*t + 2*t + t).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 15*n**2 - 32*n + 25*n + 18*n - 5*n.\nAnswer: 12*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.215357 years to centuries.\nAnswer: 0.08215357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1.07\nAnswer: -0.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2850*i**2. Let v(n) = n. Give t(v(l)).\nAnswer: -2850*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y + 364 = -4*i, -4*i + 170 = 2*y. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -27. Let q = 95 + -86. Calculate the highest common factor of q and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3326140.671 - 3324609. Let a = 1533.04 + -2.04. Let x = w - a. Round x to 2 dps.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(55)\/((-2*sqrt(77))\/sqrt(7)).\nAnswer: -2 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**2 + t - 1. Let a(w) = -8*w**3 - 8*w**2 - 3*w + 8. Let s(y) = a(y) + 6*v(y). Let b = -28 + 26. Calculate s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1936 + 12796. Let i = z + -324013\/22. Find the common denominator of 1*4\/176*-218 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 12. Suppose 3*p + q*p + 24 = 0. Is (p\/8)\/(2\/(-2540)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 525 - 37*v + 518 - 1043 + (-1 + 4 - 4)*(-14*v + 66*v + 28*v) in the form l*v + g and give l.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/247 and -20\/39.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -8*t + 8. Suppose 5*b - t = 6. Solve -b*s = -4*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469 - -478. Let g(x) be the first derivative of d + 0*x + 1\/2*x**4 + 0*x**3 - x**2. Solve g(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804218 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 768457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = m. Suppose -2*y + 1 = -m. Solve y*i + 0*i = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 7506700*z**2 - 3521897795548*z + 10565760947052.\nAnswer: -4*(z - 3)*(z + 938339)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i - 8. Suppose 0 = i*p - 8 - 12. Find the third derivative of -2*u**2 + 0*u**2 + 2*u**p + u**2 wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 2 - -5 - (6 + 10) - -27?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 3*u - 6 + u - 5*u. Let f = -34 - -40. Let i be (f - 16)*(-3)\/(-6). Determine p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqccqqqcqqqcqqcq. Give prob of sequence qcc.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -15. Solve l = p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7242 and 13056.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 13*d. Let p(v) = -7*v + 3. Let x(w) = w - 1. Let j(i) = p(i) + 6*x(i). Let q be j(-6). Sort d, q, 1 in decreasing order.\nAnswer: q, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -0.00348281785\nAnswer: -2.99651718215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgsdosxd. What is prob of sequence do?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1199 - 237 = 75*f - 4888 for f.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 412\/(-80)*-2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 21*j**4 + 9*j**3 - 72*j**2\/7 + 12*j\/7 = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -8, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0253328cm?\nAnswer: 0.253328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -117, -10, -3, -171 in descending order.\nAnswer: 5, -3, -10, -117, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.005, 1 in descending order.\nAnswer: 1, 0, -0.005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12156065 (base 7) in base 8?\nAnswer: 4120336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16560, 23475, 30390?\n\"Answer: 6915*u + 9645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - j)*(0 + 0 - 2) + 2 - 5 + 2*j + 4 + (-2*j - 2*j + 2*j)*(-2 - 2 + 3) - 3*j - 3*j - j.\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpslu. What is prob of picking 1 p and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.4 - 6.4. Let s = -10 - -9.8. Put -1\/11, d, s in decreasing order.\nAnswer: d, -1\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(-2 + 2 - 8*v).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670894?\nAnswer: 2, 43, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = 40. Suppose -l + 2*d + 1 = 0, q*l + d = -1 + 6. Solve -3*j - 4 + l = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 601845\/26 + -23148. Suppose 2*p = -2*p + 20. Suppose -h - p*x - 6 = 0, 0 = 4*h - 9*x + 4*x - 1. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3 - 8\/4. Suppose -2*h + 0*h = r + 11, 3*r + 5*h + 30 = m. Let s = -13 + 15. Which is the nearest to s? (a) -3 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187 - -228. Suppose -370 - 482 = -3*d. What is the remainder when d is divided by y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 43*y**2 - 777*y - 2640. Determine m(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - a - 79*a**3 - 2*a. Let h be u(-3). Suppose 6*r + h = 3*r. Round r to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*t - 43 = 0, 5*z - 1 = -5*t + 4. Suppose -2*r = 9 - 13. Let i(o) = 2*o - 2. Let p be i(r). Solve p*a + z = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 3, 2016, -50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - 21\/(-9). Let l be 0 + 1\/(a + -2). Let w = 1 - l. Solve 5*f - b - 9 = w, 2*f + b - 3 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, u: 1, c: 2, k: 1, h: 3}. What is prob of picking 1 c, 1 k, and 1 h?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -459 - -950. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.005 + 0.13. Let w = 0.025 - m. Let s = 0.3 - 0.5. Sort s, 2, w.\nAnswer: s, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 21*c + 713 = 923 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-3)\/6). Let m = 808.8 - 810. Let r = -1.566 - -1.366. What is the nearest to n in 0.3, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 2:47 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:04 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2. Let c(k) = 1321*k - 32*k**2 - 1321*k. Calculate s(c(x)).\nAnswer: -3072*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2080518 + 5823563. Let o = 3743047.799987 - b. Let w = o - 2.8. Round w to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 7*i**2 + 8*i**2 - 3*i**2 - i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*l**2 + 6*l**2 + 43*l**2 + 12*l**2 to the form m*l + q*l**2 + u and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {e: 2, t: 1, l: 4, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9846 or 9845?\nAnswer: 9846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*h = -233*h + 5*b + 112, 3*b + 84 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57018 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/(22099\/1886))\/(10\/35)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from {e: 1, j: 4, s: 1, n: 5}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (156\/(-27) - -4). Let d = -514 - -1029\/2. Which is the closest to d? (a) 2\/15 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000395408 to 7 dps.\nAnswer: 0.0000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*a + 29, 14 = -4*a - 2*q - 8. Let v(k) = 3*k - 12. Let r(u) = 2. Give a*v(w) - 10*r(w).\nAnswer: -6*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52022 - -0.52. Round w to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*r = 370, 112*j + 4*r + 196 = 115*j. Suppose -7*o + 5 + 184 = 0. What is the remainder when j is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 23920594401.\nAnswer: 23920594402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9*m + 1062 = 7*m, -5*l = -4*m + 2619. Find the common denominator of (l\/102)\/(1 + -11) and -80\/33.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1606 (base 15) to base 2\nAnswer: -1001001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*a + 12*a - 2*a**2 + 12*a + 1 + a**2 - 1 + (1 - 1 + 2*a)*(-a + 2*a + 0*a) - 5*a**2 - 36 + 36 to the form k + v*a + y*a**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) 5 (c) -8\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4. Let u(z) = 18*z**2. What is the tens digit of u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 174.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190673.\nAnswer: 349, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {w: 7, j: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12146, 12398, 12774, 13274, 13898, 14646, 15518?\nAnswer: 16514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose x = -4*g + 8 - 24. Let d be (1*2)\/(2\/(-3)). Sort 2, g, d in decreasing order.\nAnswer: 2, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -325, -1541, -3653, -6661, -10565, -15365, -21061?\n\"Answer: -448*f**2 + 128*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q - 2. Let x be d(1). Let l be (-3 + 6)\/(-6)*0 + 5. Put x, l, -0.4 in decreasing order.\nAnswer: l, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, p: 2, r: 2, a: 9}. Give prob of sequence oror.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*m**3*x**2 - 7133*m**2*x - 2174*m*x**2 + m*x + m wrt m?\nAnswer: -108*m*x**2 - 14266*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 18478573131?\nAnswer: -18478573128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -4\/9, -0.1, -1\/2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.454 + 0.254. What is the nearest to q in -0.2, -4, 0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 12. Let y = 113 - 44. Suppose -2*u - 6 = 0, 0*b - 4*b = -3*u - y. Let w be q(b). Solve -m - w = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 79*k**2 - 2 + 5*k**3 + k - 2*k**3 - 77*k**2 - 4*k**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prprrppp. Give prob of sequence rp.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 1 e when three letters picked without replacement from {v: 2, z: 1, t: 6, j: 2, k: 5, e: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**3 - s**2 + 2*s + 43. Let n(f) = -9*f**3 + 2*f**2 - 4*f - 85. Determine 7*b(c) + 4*n(c).\nAnswer: -c**3 + c**2 - 2*c - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -139*t**2 + 35*t + 33. What is a(-1)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6652175, 13304349, 19956523?\nAnswer: 26608697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.324 - 8.324. Which is the smallest value? (a) p (b) -2 (c) 604 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-5) - 2 - 6\/(-2). Let x = 37.7 - 38. Which is the third smallest value? (a) x (b) 4 (c) -1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 75?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 31350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 5. Calculate o(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48204 and 16692?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3509 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 22. Let k(n) be the third derivative of -n**4\/24 - 5*n**3\/6 - n**2. Let h be k(p). Sort h, -3, 4 in decreasing order.\nAnswer: 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = -2*f, -2*f = k + k - 12. Let g = 4083 + -1023. Suppose -f*u + g = u. What is u rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2026 + 252. Let p = i - 1367. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/10*3075\/(-369).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 4*w + 10*w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149 + 369. Suppose -5*a = 5*g - 585, -2*g + 23 + r = -a. Let b(c) = -c**2 + 30. Let w be b(0). Calculate the highest common factor of g and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 50?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + (-322 - -340) + 8.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*y**4 + 110*y wrt y.\nAnswer: -1536*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**5 + 60*l**4 + 84*l**3 - 1340*l**2 + 1200*l = 0. What is l?\nAnswer: -5, 0, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 0.24, 0, 5064544?\nAnswer: 5064544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/18 + 1 + 1. Let f = 39 - 24. Let o = f - 14.8. What is the nearest to -1 in 1, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/504*9)\/((-9)\/(-4))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 - 2*n**2 + 0*n**2 + 4*n**2 in the form r*n**2 + d + x*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 - (-4 - (-588)\/(-27)). Calculate the common denominator of -34 + 32 + q\/32 and -2 - -3 - 188\/(-40).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/6 - (-3)\/1. Solve j + 0 = g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1651.226 - -1651.3. Is f not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27337041 is divided by 4529?\nAnswer: 4526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -4*x - 100, 2*w = x + 46. Suppose -10*y = -3*y - w. Which is the second smallest value? (a) y (b) -1\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 7. Give v(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b*h**3 + b*x**2 + 15*b*x + 1303*h**3*x**2 + h**3*x + 23*h**2*x**2 wrt x.\nAnswer: 2*b + 2606*h**3 + 46*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 347722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/15)\/((-3)\/(-2)). Solve -x + 8 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1\/y**(-7)*y*y*y*y**(-5)*y*y**(2\/7) assuming y is positive.\nAnswer: y**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002968696 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 13*m**2 - 8*m - 7. Let a be k(-7). Suppose -70 = -2*u - 2*c, 2*c + a*c = u - 35. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 20. Suppose -x*u = -0*u - 35. What is the second derivative of -3*l**3 - u*l - l**5 + 2*l**3 + l**3 wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1022 - -1027. What is the closest to 1 in -5, k, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:43 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -25. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -17\/7*l**2 - 4\/7*l + 12\/7 + l**4 + 2\/7*l**5 + 0*l**3 = 0.\nAnswer: -2, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177550916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13756*x. Let d(n) = -n. Calculate d(k(h)).\nAnswer: 13756*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(11\/(-162)) - 0. Let w be (-99)\/a - (-2)\/(-4). Let x be 1*(-2 + (-1)\/1). Put w, x, -5 in increasing order.\nAnswer: -5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1362536.5*-1.\nAnswer: 1362536.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24913? (a) 3\/2 (b) -4 (c) 5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.296 + -0.104. Let b = h + 10.7. Put -1, 1, 4, b in descending order.\nAnswer: 4, 1, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/50*-5)\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + n + 0*n = -28, -20 = -3*s + n. Calculate the smallest common multiple of s and (6 + -5)\/((-1)\/(-15)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 7*j**2 - 7*j + 4. Let i be r(-8). Let q = i - -8. Suppose -l + 3 = -p, 4*l + 0*l = q. Is -3 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.64 - -15.24. Let t = g - 9.5. Let f = -1.1 + t. Sort 3, f, -2\/15.\nAnswer: -2\/15, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 + -181. What is the remainder when o is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431, 430, 429, 428, 427, 426?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290618268?\nAnswer: 2, 3, 24218189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -15*y + 23. Let r(c) be the first derivative of 2\/5*c**2 - 2\/15*c**3 - 2\/5*c - y. Factor r(d).\nAnswer: -2*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 214 and 22.\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.049 - 0.549. Let m = -458 - -455.99. Let b = m - -0.01. What is the nearest to 1 in r, b, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5979, 6031, 6061, 6057, 6007?\n\"Answer: -2*n**3 + n**2 + 63*n + 5917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1.11, -108, -3.4 in descending order.\nAnswer: 1.11, -2\/9, -3.4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(448)*1 + 1)**2 + (sqrt(7) + 1 + sqrt(7) + 3 - (-2*(0 + sqrt(7)))**2).\nAnswer: -1371 - 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.4 + -0.2. Let z = -5 - u. Let j(x) = x**3 + 2*x**2 - 3*x - 2. Let v be j(-3). What is the third smallest value in -1, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 21. Let o(h) = -2. Let t(j) = -2*n(j) - 2*o(j). Calculate the smallest common multiple of 3 and t(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29978629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 + 2 = 0. Suppose -3*c + q = -9. Suppose 5*z - 54 = 4*x - 0*x, 0 = c*x - 16. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 + 411244?\nAnswer: 411203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 15*s - 727. Give l(34).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfkjmmzmjf. What is prob of sequence mkm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 189\/124 or -27432?\nAnswer: 189\/124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 + 210. Calculate the remainder when i is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 10176251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2 = j + j, 4*j = 3*x + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*w = 4*w, -z - 3*w = -5. Are -1\/204 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4680*m + 4662*m - 252 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 284. Let w = -278 + a. Solve -w*c = -2*h + 5, -h = -2*c - 4*h + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 2 + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*6*(-10)\/70\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**11*d*d**(-3\/8)*d)\/(d\/(d*((d*d*d*d*d**(-1)*d*d*d)\/d)\/d))**(-47) assuming d is positive.\nAnswer: d**(-1403\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-6)*81\/54. Suppose u*n = -b + 122, 7*b + 3*n - 363 = 4*b. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 17*m + 10. Let d be p(-5). Suppose d = l - 20 - 16. What is the remainder when (-1 - 146\/(-4))*22\/11 is divided by l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -1\/17868, 1.5, 0, 0.1?\nAnswer: -1\/17868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 8*s + 9. Let a be w(-5). Let g be a*(0 - (-1)\/(-1)). Suppose 0 = -3*y + 24 + g. Solve 0 = m - 3*m - y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h. Let a be v(1). Let f = a + 17. Suppose 3*j = 2*j + f. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 + -138. Solve 4*h = -p*z - 20, 0 = -3*z - 0*z + h + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129\/(-21) - 315\/(-210)*10\/3\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/235071 and -79\/940284.\nAnswer: 940284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 - 819\/49)*(-9 + 2). Solve 0 = o*d - l + 14, 2*d - 6 = 5*l - 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*k**3 - 6535*k - 79181.\nAnswer: -24*k**2 - 6535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 25. Solve -v = i*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24093, 22856, 21629, 20418, 19229?\n\"Answer: t**3 - t**2 - 1241*t + 25334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2. Let c(h) = 574*h**2. What is c(w(b))?\nAnswer: 14350*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4580385 - 19.5419645. Let k = v - -20. Round k to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1713\/(2\/(6\/9)). Let b = t - 562. Solve -5 - 4 = -b*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.6686 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -43. Suppose -17493 + 17447 = -23*v. Solve -3*h = -6, 0*o - v*o - a = -5*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -57, -56, -55?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -149508 divided by 1\nAnswer: -149508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 5*l**2 - 5*l + 2. Give d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10173 + -10172.7. Which is the closest to 2? (a) 1\/3 (b) y (c) -2\/563 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 6*p**2 + p + 4. Suppose -3*v + l + 3 = -6, 0 = -2*l. Let y be v\/(-6)*14 + 1. Calculate o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(4\/9))**28*(f\/(f*f**(-1\/13)\/f*f))\/(f**(2\/3)*f) assuming f is positive.\nAnswer: f**(4910\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135555117 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 15*l**2 - 7*l + 19. Let c(u) = 7*u**2 - 3*u + 9. What is -9*c(h) + 4*i(h)?\nAnswer: -3*h**2 - h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789616 is divided by 436?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -267407 + 2652099\/10. Let g = 2201 + c. Calculate the common denominator of 69\/24 - 50\/(-20)*-2 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -41, -195, -511, -1043, -1845, -2971?\nAnswer: -4475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -32*m - 231916 - 10*m + m**2 - 9*m + 232289. Calculate o(42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 8*a - 696. Factor 98*k**2 - a*k**4 + 347*k**4 - 171*k**4 - 36*k**3 + 8*k**3.\nAnswer: 2*k**2*(k - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1755 divided by -117\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 19 = -5*v, 17 = -5*s + 12*v - 13*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651378916 to the nearest integer?\nAnswer: 25522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/6)\/u**3 assuming u is positive.\nAnswer: u**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-12) + (-28)\/(-6). Let j = q + -3. Let w(p) = p**3 - 7*p**2 - 4. Let b be w(7). Put 5, j, b in increasing order.\nAnswer: b, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 4. What are the prime factors of (w - -5) + 0 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*y = -219*y + 336 for y.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5195600 and 87\/2597800.\nAnswer: 5195600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -95472 divided by 459\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 772307 - 386251 - 386056.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20168?\nAnswer: 2, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**3 + 35*y**2 - 16*y + 13. Let g be o(8). Let d = g + 4774. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 805165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*m**3 - m**2 - 20*m**3 - 1 + 75*m**3 - 1 as s*m + y*m**2 + c + j*m**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/16)\/((-2)\/176). Let o = j - 80. Suppose -30 - o = -4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + sqrt(5) + (sqrt(5) - ((sqrt(15) - (sqrt(15) - sqrt(15)*1))\/sqrt(3) + sqrt(5)))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1098 >= -1096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1)*g*((g\/g**(-3\/8)*g)\/g)\/g)**(22\/5)*((g\/((g*g**(1\/3))\/g))**(2\/85))**(-2\/3) assuming g is positive.\nAnswer: g**(18481\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55495061 and 20827.\nAnswer: 55515888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 3459*t\/7 - 990\/7.\nAnswer: 3*(t - 165)*(7*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 564097 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/11 (b) 0.379 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984243928.\nAnswer: 2, 248030491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {b: 2, n: 1, p: 1, y: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcdd when four letters picked without replacement from dmgccddd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -261763 (base 9) in base 15?\nAnswer: -320cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23892251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 263.85 - -0.15. Let z = u + -262. What is the second smallest value in -0.4, -2\/3, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 14. Let r be 1 + (2 + 2 - x). Suppose -5*b - r*d + 245 = 0, 0 = b + 3*d - d - 50. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*z - 69\/2 - 3\/2*z**2.\nAnswer: -3*(z - 23)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639157130 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bgbgggbgbgg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {y: 8, v: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/65*(-62805)\/8374\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 162 = 5*c, -3326242*l = 2*c - 3326245*l - 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/99 and -50\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/2*(540\/105)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19574a9 (base 12) to base 5\nAnswer: -2331420303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/3 + 20596*n**2 + 123648*n - 1483200 = 0. Calculate n.\nAnswer: -12, 6, 30900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 + 2*l + 19. Let f(z) = 7*z**2 + 244*z - 1232. What is the remainder when f(5) is divided by a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1\/6*r**4 - 10*r + 0 + 2*r**2 + 0*r**3 - 12\/5*r**5. Let c be t(-6). Round c to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 927737*a**6 + 2*a**2 - 8*a + 43324?\nAnswer: 111328440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4423\/7 - 388797\/616. Find the common denominator of -47\/1328 and r.\nAnswer: 14608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4426*t**2 - 32635*t**2 + 6700*t**2 - 21018*t**2.\nAnswer: -42527*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1010070, -2020108, -3030110, -4040076, -5050006, -6059900, -7069758?\n\"Answer: 18*y**2 - 1010092*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/3568866 and -163\/30?\nAnswer: 17844330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from opppppppoooppopp.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 20. Let p be (-3 + w\/(-6))*-6. Is (-1)\/(p\/1)*30 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.28 (b) 2 (c) -813 (d) -0.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 36*x**2 + 27*x + 3. Is 32 a factor of r(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2*8\/((-48)\/(-3))*(-3)\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 27*l - 160. Let v be j(-18). Suppose 5*u + a - 4527 = 0, -3*a - a = -v*u + 1824. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9234*z**4 - 306*z**2 + 8.\nAnswer: 221616*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3\/3 - k**2\/2 + 50805*k - 1. Let a be l(0). Suppose a = -4*b + o, 4*o - 25 = -o. Round b to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1955*r - 52586 = -396*r - 2179*r + 47074 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = 31*p + 118. Let k be -2*(2\/8 - p\/(-8)). Factor 4*y**2 - 3\/2*y**3 + 5\/2*y - k.\nAnswer: -(y - 3)*(y + 1)*(3*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*v = 7*v - 29, 3*z = -3*v - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-141)\/282)*-2*1*109?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2. Let g(i) be the first derivative of 13*i**2\/2 - 50. Determine o(g(j)).\nAnswer: -338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*b - 5, -5*b + u = -4*u + 25. Solve -a + 5*s - 8 = 0, -a - 5*s + 4 + 8 = b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2548 + 5003. Is 175 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 2*p)*(p - 2*p + 0*p) + (p**2 + 8*p - 8*p)*(-17 - 1 - 4) + 3*p**2 - 7*p**2 + 2*p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*z + 14*z - 74925. Let i = -1139 + z. What are the prime factors of i?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/3 + (-25 - -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f - 16. Let b(p) = -25*p + 49. Let n(z) = -2*b(z) - 7*w(z). Let y be n(-11). List the prime factors of 2\/(2 - y\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215566 divided by -16582\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -609.9 - -663. Let h = -50 + k. Let r = -3 + h. Which is the nearest to r? (a) -1\/4 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59219556 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u + 1 + 6*u)*(24 - 5*u - 24).\nAnswer: -5*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, -52, 3629 in ascending order.\nAnswer: -52, -8, 7, 3629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 612 = -13*q. Let z = 106 + q. Solve 0 = z*x + 2*c - 3*c - 18, 3*c = 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:04 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5e86 (base 15) to base 12\nAnswer: -b7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*o + 1 - 718*o + 388*o - 1 - 36*o**3.\nAnswer: -36*o**3 + 44*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/(7\/(-63)*6). Suppose y*v - v = 3, 3*b = -3*v + 1782. What are the prime factors of b?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4402 divided by 2398\nAnswer: -2201\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1334 - -1554. Solve 0 = 213*z - l*z - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-1863)\/230)*(-84)\/10\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -1, -1\/4, 3186, -16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.117 times 9\nAnswer: 1.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2263 + 2262.99997407. What is i rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/20 - 7*(-30)\/50. Solve 16 = 4*a - 4*l, 10 = -7*l + j*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 11*f - 3392.\nAnswer: (f - 53)*(f + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzvz. What is prob of picking 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = -0. Suppose 7 = x*o + 1. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u - 7080 + 17752 = 0. Suppose -120*q + 128*q = u. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 8*h - 2. What is the remainder when 3\/(0 + (-3)\/(-39)) is divided by (-3)\/3 - (h - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 828 = 36*c. Let m(w) = -w**2 - w + 1. Let l(o) = -152*o**2 + 16*o - 17. Let v(q) = -l(q) - 3*m(q). Let y be v(c). Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -120, -276, -496, -780, -1128, -1540?\n\"Answer: -32*m**2 + 4*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n - 7*n + 14*n - 2*n.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 105 - 5. Let s be 2\/i + (-5420)\/(-200). Solve 6*a = -3*a + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2314222212 (base 5) to base 4.\nAnswer: 103330000331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.2 and -271096.\nAnswer: 596411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -l, 0 = 5*l - 0*y - 4*y - 3. Suppose -16 = -l*q - q. Suppose 3*v - 11 = q. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13664585.\nAnswer: 5, 11, 248447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4475 and 3043?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 3, -4, 2, -1.\nAnswer: -21, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1 take away 265432?\nAnswer: -265425.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47390, 47612, 47984, 48506, 49178, 50000?\n\"Answer: 75*h**2 - 3*h + 47318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/2 + v**3\/6 - 9*v. Find the second derivative of d(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + v**4)*(-3 + 3 + v) + (v - 2*v + 2*v)*(2*v**4 - 2 + 2).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b = 783 - 3375 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 50*t + 4604 = -54*t, 2*d + t - 4589 = 0. Is 164 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 837.9532 centuries to months.\nAnswer: 1005543.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, 6, 3, -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaccicccceciccccec. What is prob of picking 2 e?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0 (c) -2 (d) -1\/117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 2*m - 2, m - 1 = -3*n. Suppose n*u = -u. Solve 3*r = -u + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*6 - sqrt(152))\/(sqrt(8)*3*5) + 0.\nAnswer: -19*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) -22 (c) -3 (d) 0.1 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3767 and -3402.\nAnswer: 1281.5334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2))\/(((-10)\/(-4))\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3 = 7*w. Let n(c) be the first derivative of -3\/2*c**2 - 5*c + 1 - c**w. Let g(p) = -p**2 - p - 1. Calculate -5*g(a) + n(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34218938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**5\/20 - 2*u**4\/3 + 19*u**3\/6 - 23*u**2\/2 - 189*u. List the prime factors of i(13).\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 32, 41, 52, 65, 80?\n\"Answer: v**2 + 4*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + a + 3*a = -5, 5*g - 3*a - 10 = 0. Solve -3*m - 2*n = -0*m, 5*n - 25 = g*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13656194 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -1*sqrt(110)*-2 + sqrt(110) - 1*sqrt(110)*-1)\/(1*(sqrt(120)*-1 - sqrt(120))\/sqrt(12)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 - 2428*l**3 - 6*l**4 - 6*l**2 + 2439*l**3 to the form u*l**4 + z*l**2 + k*l + i + v*l**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20144090 rounded to the nearest 100000?\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.913 + 1.087. What is the closest to -2\/3 in 12, -0.01, 0.1, o?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/16 - (2 - 15\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 32*h - 139. Let v be z(-36). What is the closest to 0.039 in v, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(190) - -2*sqrt(190))*4)\/sqrt(10))**2 - ((2*sqrt(931) + -4)**2 - (-2*sqrt(931))**2*-4).\nAnswer: -35052 + 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/50)\/((-872)\/(-545)*1\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 11:25 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/10)*x**(-5\/6)*(x*x*x**3\/x)\/((x**(-4)*x*x)\/x)*(x*x\/x**(-1)*x*x**(-2\/7))**18 assuming x is positive.\nAnswer: x**(7678\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1267.9 + 1170. Let t = 82 + x. Let a = -16 - t. Round a to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/8 + 3\/(-6). Suppose m*x = 20*x - 920. Let g = x - 67. Calculate the highest common divisor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192994, -192970, -192948, -192934, -192934, -192954, -193000?\nAnswer: -193078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4236*d**2 - 396*d - 6 wrt d?\nAnswer: -8472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u*u**(-2)*u)\/u)\/u)*u*u\/u**(-1\/8)*u*u**(1\/9)*u\/(u**(-3\/4)\/u))**(-33) assuming u is positive.\nAnswer: u**(-7117\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*s + 122, s - 103 = 4*s - 5*p. Let i = 179 + -260. Let h = s - i. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3\/3 + 3*j**2 - 8*j + 1. Suppose -2*m + 5*m = -21. Calculate h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3001855 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -393233?\nAnswer: 39321b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = -14*o + 5263. Let j = 358 - o. Solve -j*g + 2*g + 7*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 6:16 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7 and 184.\nAnswer: 184.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 19*j + 37167. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.26 - 64166074550?\nAnswer: -64166074517.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:17 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26 - 0 - (10 + 23 + -7 + -35)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201 - 18. Let g = a + -183.02. What is the fourth smallest value in -1, 1, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1379 in descending order.\nAnswer: 1379, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 71 = 3*i. Let q(t) = 3*t + 5. Let g(w) = 8*w + 14. Let r(u) = -4*g(u) + 11*q(u). What is the tens digit of r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15665624 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -0.04, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/70 - 2*p**6\/25 + 9*p**5\/100 + p - 50. Factor f(y).\nAnswer: 3*y**3*(y - 3)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455333422?\nAnswer: 2, 227666711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**2 + i**2 - 2*i**6 - 2*i**2 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92250765 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7927 * 0.0369.\nAnswer: -0.10305063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9618, -4, -124 in decreasing order.\nAnswer: -4, -124, -9618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1110020010?\nAnswer: 1110020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -2 + -1 + 0. Suppose 2*h - 4*o = -h + 66, -110 = -5*h + t*o. Calculate the least common multiple of h and 0\/(-3 - 0) + 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 29*d**5\/3 + 35933*d**4\/3 + 3855883*d**3 + 267923123*d**2\/3 + 18422450*d\/3 = 0?\nAnswer: -607, -25, -2\/29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113.4 + -89.78. Let s = 0.38 + r. Let t = s - 13.3. Round t to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -3 + -5 + (-95)\/(-1). Let u be 4 + 4 + -15 - (-4208)\/4. Calculate the highest common divisor of u and h.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(13 - 7) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*v - 6 + 2 + 3)*(-2 - v + 2 + (1 + 2 - 2)*(-4*v - v + 3*v) - 4 + v + 4 + (5 - 5 + 6)*(v - 3*v + v) + 0 - v + 0) to s*v + w*v**2 + g and give w.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24906696599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j - 51*j + 136 - 1333 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432793.\nAnswer: 1193, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 2582?\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((110\/(-10))\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53698*m - m**2 + 53698*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1011)\/((-628)\/(-1256))?\nAnswer: -2\/337","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1331) + -4 + sqrt(1331) + 0 - (sqrt(1331)*1 + 0)) + (-6*(1 + sqrt(1331)) - -5*(sqrt(1331) + -2*sqrt(1331)))))**2.\nAnswer: 2200*sqrt(11) + 133200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u - 9*u**2 + 3*u**2 - 4*u + 5*u**2. Calculate h(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -791015\nAnswer: 3\/791015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24469116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1733, 3333, 4933?\nAnswer: 6533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6*(-756)\/180?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/6, 4, 3, -1068525 in increasing order.\nAnswer: -1068525, 1\/6, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 125. Let a = d - -71. Solve a*z = z - w + 6, -w = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -206*i - 17253 - 4995. Sort -0.2, 4\/9, i in increasing order.\nAnswer: i, -0.2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18851055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2\/5 - 6885432*w\/5 - 3950764485552\/5 = 0.\nAnswer: -1147572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-1)\/3 + -1). Let g = -3.8 + 2.7. Let i = g - -0.1. Which is the nearest to i? (a) 0 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.36 - -244.64. Let h = t + -246.2. Which is the nearest to h? (a) -3 (b) 45 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**3 - 4*d + 3. Let s be h(2). Do s and -50 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/8570 and 3\/22.\nAnswer: 94270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -48. Suppose 0 = 2*h - 4*a - a + 37, -40 = 2*h - 2*a. Let s = x + h. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -8\/9*i**3 - 1\/630*i**7 + 0 + 4\/9*i**4 + 1\/45*i**6 + i**2 - 2\/15*i**5 + 0*i. Factor g(j).\nAnswer: -(j - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 197*j + 200. Calculate z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 45 = -41 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 4. Let a be w(4). Is -1\/166 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1*w*w**(2\/7)*(w\/(w*w**(-2\/5))*w)**(-4\/33)*(w**(1\/4))**(21\/5)\/(w**(-5)*w**(-7)) assuming w is positive.\nAnswer: w**(70067\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*q - 170*q + 44151 + 32757. Calculate the least common multiple of 18 and q.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 8\/21 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 2*n**3\/3 - 2. Let j(a) be the first derivative of -3 - 3\/2*a**2 + 0*a. What is j(k(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 370.591 take away 21943.3872?\nAnswer: -21572.7962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 6*f. Let l be h(-6). Suppose -2*j + 10 = -l. Let b = -45 - -43. Put -3, j, b in ascending order.\nAnswer: -3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 2*q**2 + 4*q + 7. Let y(t) = t**2 - t - 1. Let k(l) = x(l) + 3*y(l). Let u = -165 + -104. Let p = u + 266. What is k(p)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**4 - 3*a**3 - 35*a**2. Let v(r) = 2*r**4 - 2*r**3 - 34*r**2. Let o(m) = 5*h(m) - 6*v(m). Find the third derivative of o(w) wrt w.\nAnswer: 72*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 7 - 22. Which is greater: -13\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 4, -20.\nAnswer: -20, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 806700 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**(18\/5)*(h**2*h*h)\/h*h**(-2\/13) assuming h is positive.\nAnswer: h**(653\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271.05 - 0.151.\nAnswer: -271.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 13*s - 3*s + 31*s = 85, -3*v - 2*s - 51 = 0 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t + 3. Let z be (-1 - -3)\/(-4)*2. Let k(w) = -6*w + 7*w - 2 + 2. Let m(l) = z*a(l) + 5*k(l). Find the first derivative of m(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f. Let s(a) = -a**3 + 10*a + 5. Let h be s(-3). Let z(j) = -16*j**2 - 21*j**h + 36*j**2. Calculate b(z(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, 4, -162141, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (470\/15)\/((-28)\/(-90)). Let n = 101 - i. Which is the second biggest value? (a) 3\/5 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4 + 171210*v**3 - 5989900*v**2 = 0.\nAnswer: 0, 35, 85570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-4 - -7)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3287*w**2 - 4 + 6 + 1644*w**2 + 1644*w**2 - 2 + 5 - 3.\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 5*c**2 + 7*c + 6. Let h be u(-4). Let w(x) = x**3 + 6*x**2 - x. Let a = -2537 + 2570. What is the remainder when a is divided by w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265890, -531806, -797718, -1063626?\nAnswer: -1329530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2472\/47 or 54?\nAnswer: 2472\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -5, -31, -1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2385505 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 - 22*n + 12. Let x be l(6). Let y(i) = -637*i + 125. Is y(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z = -239*z - 3861 + 57 - 3707 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + 2*h - 27. Calculate k(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 5, 48 in decreasing order.\nAnswer: 48, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 50, 72, 94?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*v = 1770, -5*k + 0*v = v - 8874. Suppose 0*p + 5*p = k. Let t = p - 198. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198731 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (48 - 45)*(-14)\/3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2806*d + 44. Let j(a) = 2807*a + 30. What is -2*g(m) + 3*j(m)?\nAnswer: 2809*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*u + 7, -21*r + 22*r - u = 0. Let a(i) = -6*i**2 + 3*i - 2. Determine a(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163ad (base 15) in base 9?\nAnswer: 118331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 10. Let a(m) = -4*m**4 + 20*m**3 - 8*m**2 + 2*m. Let y(c) = c**3 - c + c. Let b(g) = v*y(g) - a(g). Find o, given that b(o) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 2*v**2 - 2*v + 31. Give b(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/6*(-4004)\/(-2431).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2277.5 + 2278. Let o = 0.23 - 0.63. What is the nearest to 0 in o, -1.6, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -414, -660, -922, -1200, -1494, -1804?\nAnswer: -2130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13851804 and 41555412.\nAnswer: 41555412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/1525 + -147901\/18300. What is the common denominator of 92\/(-80) + (-3)\/(-1) and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 23*u - 2. Let x(z) = 47*z - 4. Let d(n) = 2*t(n) - x(n). Let q(v) be the first derivative of -7*v**3\/3 + 1. Calculate q(d(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*d)*(-6*d**2 + 15*d**2 - 2*d**2).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(12)\/sqrt(4)))\/(-4*(sqrt(81) + sqrt(9))).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48356 - -75708. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.633 - -0.003462?\nAnswer: -26.629538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200110021 - -1101221?\nAnswer: 201212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z - 134 = -9*z + 468 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/6 (b) 0.3 (c) 2\/29 (d) 113 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/2, -73, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263 - -277. Suppose 4*w - 10*q = -h*q + 36, 2*w - 26 = -4*q. Solve -3*r = 3*m - w*m + 4, 4*m = -2*r + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047175740 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjv when three letters picked without replacement from txvvllstvvjvjljtv.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 6. Let n be r(0). Suppose 0 = -2*q + 24 - n. Calculate the remainder when 14 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64973.91 litres?\nAnswer: 64973910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -39388?\nAnswer: -1\/39388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3620 (c) 2\/7 (d) 1.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (24\/(-2))\/3. Suppose -8 - 10 = -c*d - 2*v, 3*v = -3. Suppose 0 = 2*n + 2*h, 2*n + 2*h = 7*h + 21. Solve -i + 5*i + k = d, -n*i + 3 = k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 61.97. Which is the second biggest value? (a) h (b) 2 (c) -3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-500)\/8 - (5 - 3))\/((-171)\/228). Is -0.56 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 4*z - 4. Suppose -8 = -4*b, -p - 4*b + 6 = -5. Suppose -12 = p*q + q. Let m be -1 - -1 - (q - 0). What is f(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*x + 533 = -637 - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3 + 8 = 2*l, -5*p - 3*l + 25 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64513180.5 take away -1401.09?\nAnswer: 64514581.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2420 - 1661 = -11*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + 1.6. Let p = l + -0.700025. What is p rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**3 - 7*n**2 + 7 - 15*n**3 + 5*n**6 - 32*n**4 + 12*n**3 wrt n.\nAnswer: 600*n**3 - 768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.112 + -1.112. Which is the second biggest value? (a) 0.3 (b) -5 (c) -2\/21 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x - 10. Is 23 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**2 - 478*t - 13 + 471*t - t**3 + 9*t**2 in the form k*t**2 + g + o*t**3 + z*t and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-64)\/12) + 11449\/1590. Let u = z - -30\/53. What is the common denominator of u and -21\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 55 - 64. Suppose -n*s + 20 = -7. Solve -q - 20 = s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128398?\nAnswer: 2, 43, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/15*(-3)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 2. Suppose -h*f + 4*f = -i + 1, -f = -5*i - 40. Let o be (i\/(-4))\/((-6)\/(-16)). Solve 2*p - 12 = o*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-165) - 3\/15. What is the closest to -1\/2 in -0.4, -4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 10. Let s be c(-9). Let n be (12\/4 - 7)*s. Is 23 - (4 + (n - -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1003 - 939. Calculate the remainder when u is divided by (102\/(-4))\/((-9)\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -528*y + 2529 + 1415 - 245 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4044434?\nAnswer: 4044444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 27004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736317829.\nAnswer: 13, 269, 210557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, r: 4, q: 3, x: 4}. Give prob of sequence hhxq.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 7*v**2 + 23*v + 56. Calculate m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 233132?\nAnswer: 233140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1. Let d(u) = -15*u + 6. Let o = -390 - -384. Let y(z) = o*q(z) + d(z). Let i(l) = 9*l**2. Determine y(i(a)).\nAnswer: -135*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1743*k*s**2 + 1571*k*s + 3*s**2 - 5*s wrt s.\nAnswer: -3486*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2649*w - 2527113. Determine a(-954).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17521397 to three dps.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 5:55 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2. Let f(t) = -37*t**2 + 1701*t - 1701*t. Give f(x(g)).\nAnswer: -37*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 28*d + 117. Let o be r(15). Suppose -14*p + 16*p - 588 = -4*m, m - 5*p - o = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593 divided by 1087329\nAnswer: -593\/1087329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**23*f)\/((f\/(f\/(f\/(f**(-1\/9)\/f))))\/f) assuming f is positive.\nAnswer: f**(215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*j + 4*j - 30 = 0, -5*k + 55 = -j. Calculate the common denominator of -91\/16 and (-44)\/k + (-10)\/(-20).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13*i + 3 + 4*i + 7*i.\nAnswer: 24*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72706 greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 127253*a**2\/2 - 275741*a\/2 + 21211 = 0 for a.\nAnswer: -21211, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9))**28*(i*(i\/(i**(-4\/3)*i*i))\/i*i)**(-1\/40) assuming i is positive.\nAnswer: i**(-563\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:54 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 211 = -5*j - 4*i, 0 = 4*i + 4. Let d = j - 141. Calculate the smallest common multiple of d and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206802, -206811, -206832, -206871, -206934, -207027, -207156, -207327?\nAnswer: -207546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5261, 5272, 5291, 5318?\n\"Answer: 4*t**2 - t + 5258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m + 132. Give l(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 53487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, -1\/3, 33 in increasing order.\nAnswer: -1\/3, 2\/31, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from cxfacxxcfcfxfccaa.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11932 - 11935. Let j(f) = -5*f**2 + 5*f + 23. Let g(r) = r**2 - r - 1. What is z*g(u) - j(u)?\nAnswer: 2*u**2 - 2*u - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 40*n = -210, 25*g - 30*g + 3*n = -35 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:28 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 2975*b - 403370.\nAnswer: -5*(b + 209)*(b + 386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 139, 4, 4\/9, 1, -0.4 in increasing order.\nAnswer: -0.4, -1\/4, 4\/9, 1, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (3 - (2 - -11))) + -15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1\/2)\/((-29)\/116). Let x be 9\/(7 + -4) + -8. Let o = x + 6. Is o at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/(-12))\/(5\/60). Let p = y + 11. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2367104 and 13\/704?\nAnswer: 26038144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7, 3, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + k + 30, y + k + 20 = -2*k. Let j = y - -5. Is j at most -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(70\/4)*((-285175)\/183)\/(-55).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**3\/6 + c**2\/2 - c. Let u = 0 - -1. Suppose -r + 4 = u. Calculate i(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -37*z - 37. Let c be q(-3). Suppose -c - 106 = -2*x. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -3, -864, 8, -2 in descending order.\nAnswer: 8, -2, -3, -41, -864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*r - 21*r - 1050. Solve r*k - 8 = 52*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w. Suppose w = -4*m + 28 + 32. Let h = 25 - m. Calculate the smallest common multiple of h and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 46.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49711.\nAnswer: 49711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*f - 9. What is the lowest common multiple of 31\/1 - 8\/2 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**2 - 374*u + 26. Let o(s) = -7*s**2 - 373*s + 22. What is -7*o(y) + 6*t(y)?\nAnswer: y**2 + 367*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u + 26. Let x be f(-4). Suppose 14*c = x*c - 28. Let i = -619\/3 - -2407\/12. Which is greater: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -m - m. Suppose -660 = -26*k - 41*k + 12*k. Calculate the greatest common factor of k and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l + l**2 - l + 11 + 1 + 1 - 6. Let c = -10 - -15. Determine r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 11*u**2 + 22*u - 9. Let a be r(9). Calculate the highest common divisor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238226 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/3)*l*l**(-4))**(1\/16) assuming l is positive.\nAnswer: l**(-7\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3321? (a) -0.21 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g*(g\/(g\/(g**(-1\/32)*g))*g)\/g)\/g)*g**(-7\/5) assuming g is positive.\nAnswer: g**(-219\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*n + 78 = 0, -5*t = 5*n - 72 - 48. Suppose 2*i + 8 = 4*k, -3*k - 3*i + 0*i = 3. What is the least common multiple of t and -3 + k + 4 - -18?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3075363 and 6?\nAnswer: 6150726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-204)\/(-20))*-5. Suppose -11 = 5*s - r. What is the second derivative of 44*y - 29*y - s*y**2 + 5*y**2 + 22*y**5 wrt y?\nAnswer: 440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615274095 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.9737 - 180.9899. Let u = 207 + x. Round u to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39127*k**4 + 24644 wrt k?\nAnswer: 156508*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 8 = -3*n, 34*i = -5*n + 31*i - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 43 = 5*l, -3764 = l - 3772. Let q = 161 + -1447\/9. Determine y so that 0 + 2\/9*y**2 + q*y**d + 0*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180029639?\nAnswer: 1697, 106087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qff when three letters picked without replacement from tqquutfuuquafuft.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Find the third derivative of j**3 + k*j**2 + 0*j**3 + 0*j**3 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 182, 240, 266, 254, 198, 92, -70?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 2*q. Let w be n(4). Is -3 - (-676)\/(9 - w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 26 = -u, 3*u - 5 - 1 = -3*v. Let d(m) = 5*m**3 + 6*m**2. Let s(a) be the first derivative of -a**4 - 5*a**3\/3 - 413. Determine v*s(f) + 5*d(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8300300 by 5.\nAnswer: -1660060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -5 (b) -3 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 134*j - 51*j + 15 - 2*j**2 - 38*j - 45*j. Determine o(8).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396, -1591, -3582, -6369, -9952?\nAnswer: -14331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1156 = -173*t - 810. Solve -7*y - 3*r + 20 = -2*y, t*r - 20 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4987 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -3) + (-1)\/(-1). Let g = 62 + -60.2. Let f = 0.2 + g. Which is the closest to -2? (a) -2\/7 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(4\/21))\/(n\/n**(-14\/3)*n))\/(n**19*n**(-24)))**(5\/2) assuming n is positive.\nAnswer: n**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = m - 20, 0 = m + 3*l + 12. Suppose -3*k + 4*a - 24 = 0, -2*a + a + 11 = -2*k. Let q = k - -22. Solve -m*f - 3 = -q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40288.29 times -0.3?\nAnswer: -12086.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/4 + 1491*i**2\/4 - 10290*i + 71687 = 0.\nAnswer: 14, 1463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/5)\/(-3)*104*(-62)\/(-2418)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 5*m + w + 26, 2*m - 32 = -5*w. Calculate the remainder when 34 is divided by (-468)\/26*(-4)\/m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202000020021221 + 2?\nAnswer: 202000020022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(192\/(-1816)) - (-37)\/(1110\/(-20)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001792966196 to 6 dps.\nAnswer: -0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 - 421*b**3 - 6 + 420*b**3 + 2*b - b to the form u*b + j*b**4 + i*b**3 + f + d*b**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*t - 14*t - 110. What is the smallest common multiple of 85 and t?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5049 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppppppppfpp?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588448348 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9.7*-0.224\nAnswer: -2.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*p + 3*p + 7*p + 19*p + 10*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 192.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/16)\/((-51)\/34)*4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*h + 45*h. What is h rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -8\/11, -3, -2\/25, -8?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -33, -0.1, 3, 10, 0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + (7 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5058783.7 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhbw when four letters picked without replacement from {a: 1, b: 2, h: 3, w: 6}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - d = -2*d + 77, -4*i + 313 = 5*d. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnunnnnnnn. What is prob of picking 1 u and 1 n?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppiiipqiiiippip. What is prob of picking 3 p?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 246 (c) 0.3 (d) -3 (e) 0.671 (f) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 56 = 7*v. Calculate the highest common factor of 20 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from {r: 2, e: 4, q: 2, i: 1, j: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 77 = 2*p, -4*p + 2*q - 161 = -9*p. Let r = -2 - -5. Find the third derivative of -r*j**4 + p*j - 7*j**2 - 31*j wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.061 - -0.3\nAnswer: -0.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1378*b**3 + 2947 - 2947.\nAnswer: 1378*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b - 40 + 7*b**2 + 0*b**3 - 63\/4*b**4. What is the second derivative of g(w) wrt w?\nAnswer: -378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 676586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6162739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24691, 41245, 68831, 107443, 157075, 217721, 289375, 372031?\nAnswer: 465683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8632 plus -10?\nAnswer: 8622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -76. Suppose 6*p - k*p = 342. What are the prime factors of p?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183845, -2, 3, -5 in ascending order.\nAnswer: -183845, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/7 + 1300*s**4\/7 - 376*s**3 - 15676*s**2\/7 - 18266*s\/7 - 6520\/7 = 0. What is s?\nAnswer: -652, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2717417 less than -1620?\nAnswer: -1619.7282583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399964 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - k + 4 - 7 + k**3)*(168230 + 341*k - 168230).\nAnswer: 682*k**4 - 341*k**2 - 1023*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -185958*n. Let w(l) = 5*l. What is t(w(v))?\nAnswer: -929790*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + j = -0*h + 41, -8 = 2*j. Let s = h - -16. Suppose -2*r = -s*r + 15. Calculate the highest common factor of 21 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48061, -95993, -143923, -191851, -239777?\nAnswer: -287701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16782, -69541, -157478, -280599, -438910, -632417, -861126, -1125043?\n\"Answer: -f**3 - 17583*f**2 - 3*f + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 263 + -227. Let m(q) = 16*q + 20*q - c*q - q**2 - 3. Determine m(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 10*v - 24. Suppose -195 = -v*p + p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*x**4 - 8*x**2 + 191*x + 2.\nAnswer: -252*x**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128520 divided by 210.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161.273 + 0.273. Let o = -160.7 - c. What is the nearest to 1\/4 in -0.04, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26094.59 decades in millennia?\nAnswer: 260.9459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 101\nAnswer: -21\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30234236017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 40 + 0 + 4 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 2*y**2 + 3. List the prime factors of z(4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2. Let c(s) = 2*s**2 - s + 2962. Determine c(t(f)).\nAnswer: 8*f**4 + 2*f**2 + 2962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 347783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3364*i**4 + 7192*i**3 - 944*i**2 + 32*i = 0.\nAnswer: 0, 2\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -99 + d2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -357 + 5?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1c7893 (base 15) to base 12\nAnswer: 571986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128879649.\nAnswer: 3, 23, 622607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 3*t + 288. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4 + 4)*(-v + 3*v - 4*v) + v**2 - 2*v**2 + 2*v**2 + 3*v**2 + 0*v**2 - v**2 + (3*v - 5*v + 0*v)*(-v - 3*v + 8*v) - 4*v**2 + 3*v**2 + 2*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 210*u**2 - 5*u - 10. Is t(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + h - 140 = 5*g, -4*g = -5*h + 205. Let u = g + 49. Suppose u*n - x - 4*x = 39, n - 2*x = 12. Calculate the remainder when 15 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.47 - 0.07. Let g = i - 0.6. Which is the biggest value? (a) g (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103241, 103249, 103269, 103307, 103369?\n\"Answer: f**3 + f + 103239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424819197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (2\/1 - -6)\/((-2)\/(-202))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2*d**3\/3 - d**2 + 148*d - 30. What are the prime factors of w(-16)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43742175 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -11. Let b(z) = z**2 + z + 2. Let u be b(0). Calculate the remainder when -1*(u\/2 + -26) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5*sqrt(5760)\/sqrt(2))\/(-4*sqrt(90) - sqrt(490)*-3))**2.\nAnswer: -160*sqrt(2)\/3 + 944\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3660 + -3670. Which is smaller: k or -180\/17?\nAnswer: -180\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56373 is divided by 558.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4235 + -4238. Put s, -4, -1, -5, -2 in decreasing order.\nAnswer: -1, -2, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b**2 - 135*b - 118. Let w be r(-7). Solve 0 = 14*l - 52*l - w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2240 - -22419\/10. Calculate the common denominator of p and (-1 + 88)*4\/54.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 51. Let p = f + 32. What is the remainder when 34 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*v**4 - v + 4*v - v wrt v?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 3 (c) -3 (d) -4\/11 (e) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/28 + 16*o**3\/7 + 54*o**2 + 560*o - 4515. Determine m so that j(m) = 0.\nAnswer: -20, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (0 - 52) - -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4297*y**5 - 1635*y**2?\nAnswer: -257820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 2, x: 3, t: 4, p: 1}. Give prob of sequence gr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 74 - 26 = -l, 986*t + 3*l = 990*t - 116 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 14*v**2. Let z(k) = 3*k**2 - 22*k + 22*k - 4*k**2. Calculate n(z(o)).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5 - 17*g**4 - 448*g**3 + 1580*g**2 + 4800*g = 0. What is g?\nAnswer: -16, -2, 0, 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(250) - (sqrt(250) + 4*sqrt(250) + sqrt(250)))\/sqrt(10) - sqrt(25))*-1)\/((sqrt(45) + sqrt(315)\/sqrt(567))\/sqrt(9)).\nAnswer: 27*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4494c (base 16) to base 11.\nAnswer: -182061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -258*c**3 + 8*c**2 + 371*c + 5. Let f(j) = -387*j**3 + 13*j**2 + 556*j + 8. Let x(s) = -5*f(s) + 8*q(s). Find the third derivative of x(l) wrt l.\nAnswer: -774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 409 and 0.07?\nAnswer: 28.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/r*r*r*r)\/r*r**(-3))**(-3)\/((r**3\/r)\/r**(2\/5)*(r\/(r\/((r*r*r**(-2\/7)*r*r)\/r)))\/r**1) assuming r is positive.\nAnswer: r**(409\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8735 - 39407 = -54*h. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -1003303322?\nAnswer: -1003310011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260*k + 140800 = -2942*k - 1838*k for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 298817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2000 + -73?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**3*z**2 - 19215*a**3*z - 33*a**2*z**2 + 32521*a**2 + 2*a*z wrt a.\nAnswer: 54*z**2 - 115290*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -14133?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:11 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/2844*12)\/((-3)\/(-540)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -22. Let h be (-58)\/(-18) + 4\/(-18). Calculate the remainder when (0 - h)*62\/(-6) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126*(-210)\/13230)\/(3\/(-42)*-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-206)\/(-412))\/((-7)\/(14\/6))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 5, w: 1, n: 4}. What is prob of sequence wh?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -543.060759 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -5*y**4\/6 - y**3\/3 + 9*y**2. Let a be c(-1). Let d(q) = -20*q + 2 - 1 + q**3 + a*q + 0*q**3. What is d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 + 3*a + 6. Let s = -12 + 8. Let g be q(s). Suppose -4*w + 102 + g = 0. Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 15\/21) + 12\/(-21). Let q = 20 - 19.7. Let j = 0 - 2. Which is the nearest to u? (a) q (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/273 and -38\/791.\nAnswer: 30849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {p: 3, v: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 3, o: 4}. What is prob of picking 2 o and 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1334513 (base 8) to base 4\nAnswer: 1123211023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -383 - -6509\/17. Suppose n + 6 = 4*n. Suppose -4*o = n*o. Which is the closest to o? (a) f (b) -2\/15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34894 - -1116521\/32. Find the common denominator of 37\/40 and m.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, -50, -2.\nAnswer: -341, -50, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9433 + -0.3433. Put d, -4, 1\/7, 9\/4 in increasing order.\nAnswer: -4, 1\/7, d, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 357*v**2 - 15117*v. Let g(a) = -4*a**2. Give j(g(i)).\nAnswer: 5712*i**4 + 60468*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/3 (b) 1\/5 (c) -4 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 1 + sqrt(288) + -2 - sqrt(288) - (sqrt(288) + 1)*1 - 6*(sqrt(288) - (sqrt(288) + -1 + 2 + sqrt(288))))*-2)**2.\nAnswer: 2304*sqrt(2) + 41536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 4*f**2 + 2*f + 5. Let d(p) = -3*p**3 + 6*p**2 + 4*p + 8. Determine -3*d(b) + 5*z(b).\nAnswer: 4*b**3 + 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8457 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: Convert -122111111200010 (base 3) to base 11.\nAnswer: -5282537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10088 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -882*c**5 - 13944*c**4 - 86192*c**3 - 259456*c**2 - 379168*c - 215168 = 0.\nAnswer: -4, -82\/21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 10, k + 2*k = -5*n + 695. Suppose 4*v = n - 40. Let m(j) = -25*j - v*j - 4*j**2 + 49*j. Let b(t) = -t. Calculate m(b(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)*n*n**1)**(-7\/4)*((n**0\/n*n)**(-43))**(-3\/20) assuming n is positive.\nAnswer: n**(-49\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5\/2 + 9*f**4\/2 + 41*f**3\/2 - 81*f**2\/2 + 18*f = 0.\nAnswer: -3, 0, 4\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/6 - 1465*j**4\/3 + 8783*j**3\/6 - 2927*j**2\/3 = 0. What is j?\nAnswer: 0, 1, 2, 2927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3358487497 to the nearest integer?\nAnswer: 57952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**7*z)\/z)*z*z**(-3))\/(z**(5\/3)*z*z**(-3)\/z))\/((z**8\/(z*z\/(z*z**(1\/4)\/z)*z))\/(z*z*z**1*z)**(-12\/7)) assuming z is positive.\nAnswer: z**(-1577\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -421, -350, -235, -76, 127?\n\"Answer: 22*t**2 + 5*t - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 270 - 268. Let a = 748 - 749. What is the closest to 1\/4 in a, s, -0.02, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1043161 and 1748565.\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0)\/d)**(1\/24)\/(d**4*d*d**(1\/4)))\/(d**(-2)\/d*d**(2\/17)*d)**(14\/5) assuming d is positive.\nAnswer: d**(7\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:39 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2053 + 2041 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2850884 divided by 166\nAnswer: 17174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52651800 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/5 + 2)\/(56\/35).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443511522 divided by -6?\nAnswer: 73918587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057151 rounded to five dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86799007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = n - 26. Suppose 8 = -2*b + 4*h, -b + n = -5*h + 12. Suppose 2*r**2 + b + 4\/3*r = 0. Calculate r.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17 = -3*o, -2*x - 2*o + 0*o - 2 = 0. Let c(p) = 24*p**2 + 2*p + 1 - 5*p - 5*p**2. Is c(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let t(i) = -2*i + 20. Let s be t(9). Let c be 2*s\/(-2 + 4). Put -2, c, o in ascending order.\nAnswer: -2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/56)\/((-81)\/3969)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4 + 26*m**3 - 96*m**2 = 0.\nAnswer: -16, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -19582\/313 <= -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 divided by -6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -8734\/76239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(119) + -1*sqrt(119))*-3)\/(-5*sqrt(7)*-2*5)*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k + 47. Let i be t(4). Let h(c) = -i*c + 62*c - 44*c. Let q(j) = -82*j - 2. Calculate h(q(d)).\nAnswer: 82*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u - u)*(2*u + 3 - 3) + (-6*u + 3*u - 4*u)*(136*u + 106*u - 185*u).\nAnswer: -403*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48312384 a multiple of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 45. Let k(x) = 8*x - 90. Let l(o) = 6*k(o) - 11*n(o). Let r be l(24). Let w = 274 - r. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13724 - -13811. Is p less than 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 845\/6 - 141. What is the nearest to -0.2 in -2\/9, -0.3, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4092 by 372.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let j be 1*3 - (40\/24 + 2). Let u = -5.6 - -6. What is the second biggest value in s, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3263 and 2008.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 1, l: 10, v: 3}. Give prob of picking 2 l and 2 v.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10830532 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1661 and 107\/22.\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*17.867.\nAnswer: -4.28808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 921\/(-45))\/((35\/(-21))\/(-5)). Are -57 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 484, 964, 1444?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012847 to 7 dps.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 9*p - 11. Let h = -45 - -72. Let v = 35 - h. Determine u(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9594176*-0.2\nAnswer: -1918835.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.9875862 - 111?\nAnswer: -34.0124138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31966, -31978, -31998, -32026?\nAnswer: -32062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*110\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -211233?\nAnswer: 211312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqee when four letters picked without replacement from vqeevq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 3. Let q(i) = -2. What is -3*q(h) + 2*w(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - g**2 + 2*g**2)*(-1 - g + 2 - 3).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3 = p, r = -4*p + 119 - 116 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2007*i + 2023*i = -31328. Which is smaller: -1957 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + (-6*sqrt(78)*-3 - sqrt(78))))\/(2*sqrt(384))*6)**2.\nAnswer: 33813\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*r + 11979, -1451*h = -1452*h - 6. Calculate the remainder when r is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(-2))\/(7\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 13. Suppose 4*g = -x + 20, -3*g - 13 = 3*x - 4*x. What is the remainder when 248\/2*p\/(-32) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 + y**3 - 742*y - 15 + 736*y + 15. Calculate s(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 - 2219*t**2 - 8 + 2218*t**2 + 2*t to j*t**2 + f*t + c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 48) + (2 - -3) - -3 - (241 + -240)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 4:04 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 40, -2 in ascending order.\nAnswer: -5, -4, -2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482946.\nAnswer: 2, 3, 80491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 66. Let l(i) = -53*i**2 + 3*i - 3. Let h(w) = -18*w**2 + w - 1. Let c(j) = 17*h(j) - 6*l(j). Is c(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -2*q**2 - 3\/8*q**4 + 28\/3*q**3 - 29 + 0*q + 1\/60*q**6 + 0*q**5. What is the first derivative of h(i) wrt i?\nAnswer: 6*i**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 1a41835?\nAnswer: -1a41832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85395 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -642840\nAnswer: 1\/642840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzk when three letters picked without replacement from {z: 3, s: 2, k: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -38*k**2\/3 - 1305880*k\/3 + 962248\/3 = 0.\nAnswer: -34366, 14\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msmm when four letters picked without replacement from {s: 9, m: 5}?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 611161.3 years?\nAnswer: 611.1613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.02 - 0.17. Let n = -0.15 - b. Is -1.3 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -16 + 29 + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8 = 7. Suppose n + t = 15. Solve 0 = -2*b - n + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -2\/23, -0.9, -3, 0, -4, -22\/43?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 18. Let p be 8\/u*9\/(-6). Which is the third biggest value? (a) -4 (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-18 - 4)) + -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -15 (c) 7\/11 (d) 2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 3*g - 1. Let u be y(-2). Let f be (4\/8)\/(u\/(-24)). Let m = -8 + 7.6. Which is the nearest to -0.1? (a) m (b) -3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 - 7950987*v + 47705814 = 0 for v.\nAnswer: 6, 2650323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 0*u + 25*u**2 + (-2*u + u + 4*u)*(0 + 0 + 2*u).\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*w = -2*m + 33*w + 434, -3*m - m - 116 = -2*w for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 14) + (15 - (18 + 18))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**3 + 4160544*w**2 + 16186916*w?\nAnswer: 18*w + 8321088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*f + 278 - 83 + 698 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)\/((c*c**(-2))\/c*c)*c**(1\/4)\/(c*c**(1\/8)))**(2\/13) assuming c is positive.\nAnswer: c**(-1\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*i - 4*y, -5*y = 4*i - 7*i + 10. Suppose i = -2*q + 223 - 13. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/(-460) - (-484)\/80. Suppose 2*i + 1 = 7. Suppose -i*b = -2*b - 2. Solve 5*v - 2*d - 25 = 0, b*v + 3*d + y = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 845752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 - z + 1. Give v(4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Let g(x) = x + 4. Let r be g(j). Let a = 10 - r. Let z(t) = t**3 - 4*t**2 + 3*t + 2. What is z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/95 and 1035\/(-150)*(-10)\/(-18).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 17*i - 15. Let d(s) = -9*s + 8. Let w(h) = -4*a(h) - 7*d(h). Let v be w(0). Suppose -2*y + 3*y - 14 = -v*l, 6 = 4*l + 5*y. Solve -l*u = u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364137.6 micrograms to grams.\nAnswer: 0.3641376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 36 = 37*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6446 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 453524 - -1630756. Let v = c - 2084279.100001. Let a = -0.9 + v. Round a to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 21. Let b = k + -17.91. Let u = b + 0.11. What is the biggest value in -7, 2\/13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20937 + 20937 - 181*s**2.\nAnswer: -181*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*x - 15*x**2 + 95*x + (-1 + 4 - 1)*(0*x + 2*x**2 + 0*x) + x + x**2 - x - 2*x**2 + 6*x - 6*x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x + 151. Let t be b(9). Let w be 16\/(-8) + t - -13. Solve -v - w = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*w - 17. Let f be 5*(-1*w)\/(-3). What is the highest common divisor of 40 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 + 7008*p**2 + 6994*p - 42036 = 0. What is p?\nAnswer: -3503, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.03229 and 9200?\nAnswer: 9171.96771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(5 + -1*sqrt(153)*-1 - (4 + 0 + sqrt(153) + 0))*6)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3 - 66*l**2 + 592*l = 0?\nAnswer: -74, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*40\/48?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.6665618 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 4*g - 3*o, 3*o = -6*g + 5*g + 47. Differentiate 20 + 3*x + g*x - 5 - 6*x with respect to x.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.108 - -383.892. Let a = k - 384.3. Let v = -1.2 + 1. Sort -2\/11, a, v, 5 in decreasing order.\nAnswer: 5, -2\/11, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000977 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*w - 40, t = -289*w + 288*w - 8 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -4*v - 6. Suppose -6*h + 22 = 2*i - 2*h, -v*h = -i - 4. Calculate the lowest common multiple of 9 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -417\nAnswer: -5\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {i: 1, o: 2, u: 1, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 2*z = -68, -5*n + 2*z = 8847 - 8864 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 5*q + 3. Let s be p(5). Suppose s*c = -2*h + 45, 4*h = -4*c + h + 61. Round c to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 12*d)*(3 - 1 + 0) + (-d + 2*d - 2*d)*(5 - 2 + 0).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77029301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -17. Suppose -2*l - a = 1 - 0, -3*l + 2*a + q = 0. Put l, -1, 5 in descending order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 228\/5*b + 160\/3 - 38\/5*b**2 + 2\/15*b**3 = 0. Calculate b.\nAnswer: -1, 8, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/60 - 11*t**5\/15 + t**4\/24 + t**3\/2 + 8649*t**2. What is u(22)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386 = 151*p - 4*l - 1125, -p + 3*l = 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5055 - -5067. Calculate the lowest common multiple of l and 576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/9)\/((-3)\/423). Calculate the common denominator of -83\/14 and (2\/4)\/((-32)\/k).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 - 10)\/(1\/2). Suppose -d = -53*c + 51*c. Is 11 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 954701198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17518, -31723, -45928, -60133, -74338?\nAnswer: -88543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 935709557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 4*w - 44. Let n be t(16). Let i = n + 241. Solve 0 = i*m + 4 + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300780 by 60156.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 766836 and 372141?\nAnswer: 25305588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c - 2. Let o(z) be the second derivative of z**3 + z**2\/2 + z. Let l(i) = 3*k(i) + 2*o(i). Calculate l(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 7. Let f be s(-6). Suppose -3*l + t + 13 = -0, 0 = 5*l - f*t - 5. What are the prime factors of 3\/3*(l - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687243 is divided by 2673?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 11000101011010110111110?\nAnswer: 11000101011010110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -8, 73, 240, 523, 952, 1557?\nAnswer: 2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2 + 0 + 15 + 2*n. Let d be t(-5). Solve a = d*a - 5*s + 31, 13 = -a + 2*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - sqrt(288)*3 - sqrt(288))*-3 + sqrt(288) + sqrt(288) + (3 + (0 + sqrt(288) - sqrt(288)) + sqrt(288) - sqrt(288)))**2.\nAnswer: 792*sqrt(2) + 34857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2785*j + 189 = 2794*j. Solve 17*x - 20*x + 2*f + 7 = 0, -5*x = -f - j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 430842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/7)\/((-3)\/92). Let r = -13 + o. Let f = 444 - 443.7. Which is the closest to 0? (a) f (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1.6. Let l be (246 - 251) + (-154)\/(-30). Which is the fourth smallest value? (a) 1 (b) l (c) n (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10453\/142 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 11*b = -v - 6, 0 = 2*b + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -12 - 6. Suppose -5*b - 87 = -k*q, 0 = -2*q - q + b + 99. What is the greatest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 4. Let u(y) = -y + 1. Let q(m) = -s(m) + 3*u(m). Let f(n) = n + 5. Let p(l) = l - 6. Let w be p(8). Let i = 1 - w. Calculate i*f(b) - 3*q(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31245103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i**2 - 5*i. Let f(z) = -10*z**2 - 5*z - 1. Let t(d) = -3*c(d) + 2*f(d). Let p(a) = 3*a**2 + 2*a - 1. What is -9*p(l) + 4*t(l)?\nAnswer: l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 87 (b) -2 (c) -1\/526\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 11*p + 3. Let s be i(11). What is the tens digit of (-12)\/(-9)*9 + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 903569, 903571, 903573, 903575, 903577?\n\"Answer: 2*l + 903567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1. Let t(n) be the third derivative of 11*n**4\/24 + 7*n**3\/6 - 13*n**2 - 37*n. Determine 14*s(l) - 2*t(l).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 2*x**2 + 2*x**3 + 15*x**2 + 5*x**3 - 15*x**2 + (x**3 - 3*x**3 + 4*x**3)*(-4 + 0 + 2).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153544 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 1440*l**2 + 256296*l - 1048352.\nAnswer: 2*(l - 4)*(l + 362)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/(-105))\/((-2)\/3)*126\/(-1995)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2704 and 32?\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10929a (base 12) in base 16?\nAnswer: 40a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -26*u**2 + 2647*u - 873842. Let q(n) = -96*n**2 + 10587*n - 3495368. Let i(o) = 22*c(o) - 6*q(o). Factor i(x).\nAnswer: 4*(x - 661)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7952, 9081, 12150, 18131, 27996, 42717, 63266, 90615?\n\"Answer: 162*n**3 - 2*n**2 + n + 7791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2057)*-2*6 - sqrt(2057)) + 2.\nAnswer: -143*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -13 + 0 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/3 or -25\/77973?\nAnswer: -25\/77973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -463\/5. Let v = -0.4 + 0.9. What is the closest to 0 in v, o, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 4*o**2 - 8*o - 9. What is i(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*a + 10, 2 = a - 5*g - 28. Solve -4*w + 3*z + 6 = 0, -2*z + a = 4*w - 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 98?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -34.83. Sort 2\/9, -4, n in ascending order.\nAnswer: -4, n, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -42, -5, -170, 42 in descending order.\nAnswer: 42, -4, -5, -42, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480398 is divided by 6861?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 9*d - 2. Let a be o(-4). Suppose a*h - 22 = 34. Solve -3*z - 2*l = -l - 18, -5*z - l + h = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*v + 223, 0 = -z - 2*v + 75 - 20 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 8, -0.2, 0.7, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 + 33*u**2 + 57*u - 110. Calculate s(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20b + -411?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.021 - -2.979. Which is the closest to -1? (a) h (b) -1\/12 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -169.\nAnswer: 168.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-341)\/385 - (9\/(-7) + 1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*((-6)\/(-9) - 2\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 29827500*q**3 - 7*q**2 + 14*q. Let m be n(2). What is m rounded to the nearest one million?\nAnswer: 239000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - m = 3*m + 20, -4*b - 4*m + 4 = 0. Let d = -5 + b. Let k(o) = o**2 - o - 1. What is k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + 5. Let d(u) = u**2 + 7*u + 3. Let m be d(-5). Let r be a(m). Suppose -r - 62 = -3*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 1. Let f(a) be the second derivative of 2*a + 1\/6*a**3 + 0*a**4 + 0 + 3\/20*a**5 + 5\/2*a**2. What is -f(v) + 5*q(v)?\nAnswer: 2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, q: 1, i: 1, y: 2, e: 3}. Give prob of picking 1 n and 1 y.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -138, -281, -426, -573, -722?\n\"Answer: -i**2 - 140*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -696.75 + 585. Let o = r - -88. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 - 493883*l + 493883*l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 5*j + 15, -53*x + 4*j + 28 = -49*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kke. Give prob of picking 1 e and 1 k.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 469*c. Let f(i) = -10*i - 36. Let x(g) be the third derivative of g**4\/6 + 5*g**3\/2 - 72*g**2. Let j(h) = -5*f(h) - 12*x(h). Give j(a(n)).\nAnswer: 938*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14565 - 8342. List the prime factors of z.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 3.7. Let h = 26.2 + -26.1. What is the fourth biggest value in 0, -59, h, a?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 16 + 3\/2*v**2 + 16*v. Does 5 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/28)\/((4\/(-21))\/4). Let j(i) = 13*i + 57. Calculate j(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**(1\/3)\/j*j)))**(-5)*(j\/(j\/j**(-1\/4)*j))**(7\/2))\/(((j**(-2\/7)*j)\/(j*j**(-1\/5)))\/(j**(-1))**(9\/14)) assuming j is positive.\nAnswer: j**(-9743\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 145819603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**8*i\/i**(-8\/5)*i*i assuming i is positive.\nAnswer: i**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 2 (c) -3\/2 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4319, -4219, -4039, -3767, -3391, -2899?\n\"Answer: 2*t**3 + 28*t**2 + 2*t - 4351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/9)\/(8\/(-36)). Suppose -c*a = a - 144. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/4 + 8*p**3\/3 - 7*p**2 + 15*p - 58. Let m be c(6). Sort 21, m, 5 in increasing order.\nAnswer: m, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 52297546?\nAnswer: 52297543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.2474 and 2.\nAnswer: 26.4948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*j**2 + 106*j**2 + 9*j**2 - 27*j as s*j**2 + u + l*j and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 19 = -5*z - 4, 4*a = 3*z - 9. What is the third smallest value in 2\/39, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-24) + 1\/(-48)*6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s - 7*s**4 + 11*s**4 - 2*s - 4 - s**4 + 7*s**3 + s**2 = 0.\nAnswer: -4\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 h when three letters picked without replacement from vhvyvhlvlvvhvllyl?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 172, 371, 568, 763, 956, 1147?\n\"Answer: -s**2 + 202*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 1, -0.11, -1.1, -0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3510104485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 121.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*p - 174 = 222*p. Find the third derivative of -l**3 + 10*l**2 - 33*l**3 - 34*l**3 + p*l**2 wrt l.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-21) - (-10)\/(-35). Sort j, 4, -1 in increasing order.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((4 - 3)\/2). Solve d = -3*d - n + 2, 10 = z*d - 4*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 63. Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1422, -1568, -1816, -2160, -2594, -3112, -3708, -4376?\n\"Answer: k**3 - 57*k**2 + 18*k - 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-1 + 0)*-3. Let b(d) = d**3 - 4*d**2 + 2*d - 5. Let w be b(j). Let k(s) = -s + s**2 - 3*s - 1 + 3. What is k(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = 2*s + 5*z, -s + 3*z + 8 = 0. Suppose s*r + 4 = 6*r. Let o be 1 - (1 + (-2 - r)). Solve 4*f - 10 - 6 = -o*u, 0 = -2*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/168*(-7)\/(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - d + 2 - 6 + 1 - 1 + d + 0*d + 0*d + 2*d + 0*d + 0*d - d + 3*d + d - 5*d + (0*d + 4*d - 3*d)*(-2 + 3 - 2) + 0*d - d + 2*d + 4 + d - 4 + 0 + 5*d + 0.\nAnswer: 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -29279*u - 117053. Calculate t(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - v = 6, -7*v + 14 = w - 3*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-19 - (-20 - -12) - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001377059 rounded to seven dps?\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217 + 25 - 82)*(-26*x - 35*x + 98*x).\nAnswer: 5920*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798 - 878 - 6*o - 929 + 2781.\nAnswer: -6*o + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 + -119. Let m = f - 49. Suppose -4*b - m*n + 68 = 0, 0*b - b + 24 = -3*n. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 175465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = -4*u - 7, 0 = -5*w - 2*u + 15. Let c = -3 + w. Let n = -23 + 47\/2. Which is bigger: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*((-18)\/4 + 4). Let u(l) = 2*l + 7. Determine u(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 951531 divided by 19\nAnswer: 951531\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -39*f + 333. What is o(5)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/14)\/(-3 - (-18)\/8). Let v = -17 + 12. What is the second biggest value in v, n, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 100 + 2*c**3 + 12 + 13.\nAnswer: 2*c**3 - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 481748 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46758800?\nAnswer: 2, 5, 11, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2977, 4468, 5971, 7492, 9037?\nAnswer: 10612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 2*w**2 + 0*w + 0*w**3 + 0 + 1\/12*w**4. Let d(l) = 2*l. Calculate d(r(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13307121 divided by 4435707\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7988 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 9*x = -5*l + 3, -15 = -5*l. Suppose -8 + 1 = -v. Let k = 4 - v. Sort -1, k, x in increasing order.\nAnswer: k, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7011 + 7011 - 683*q.\nAnswer: -683*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 2628*u - 1137*u - 3*u**3.\nAnswer: -2*u**3 - 3765*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*s - 1305, s - 153 = 5*f + 108. Let m = s + -258. Calculate the greatest common factor of m and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/12 - -2)\/(88\/352)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*h**3 + 60*h**3 - 47*h**3 - 155*h**3 - 13*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 20*s + 47. Let h be l(-22). Suppose y = -5*o + 53, -h*y - 61 = -0*o - 5*o. Calculate the smallest common multiple of o and 46.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 4*q + 6*i - 3*i, -224 = -4*q + 5*i. What is the highest common divisor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12680507487987*l**3 - 38041534799523*l**2 + 37006689*l - 9 = 0. Calculate l.\nAnswer: 1\/2055927, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043646272 to the power of 1\/3, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 14. Let z = a - 27.0000008. Round z to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 20.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*k + 73, 24 = 4*k - 4*h - 72. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 7) to base 5.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -8)*1\/((-2)\/2). Factor 0 - 2\/7*m**2 + 2\/7*m**4 + i*m**3 + 0*m.\nAnswer: 2*m**2*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*p - 3*p + 5*q, 91 = -5*p - 7*q - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwkwwllkw. What is prob of picking 1 l and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 2*t**2 - 5*t**2 + 2*t**2 - 5. Let v be j(-8). Let r = -24 - v. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -1\/1473 (c) -2\/17 (d) -0.2 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033681636.\nAnswer: 2, 13, 1453, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18993.78 millilitres in litres?\nAnswer: 18.99378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**3 + l**2 - 4*l - 4. Let o be s(-1). Suppose -5*w + 19 = 3*a - 2*a, -3*w = 3*a - 21. Sort -3, o, w, -9 in ascending order.\nAnswer: -9, o, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 + (-435)\/29 - 4*-7 and 450?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20064 and 246.\nAnswer: 822624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 135377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -29*o**2 - 9*o. Let b(k) = 4*k + 54. What is b(s(i))?\nAnswer: -116*i**2 - 36*i + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -252 - -252.3. What is the fourth biggest value in 1\/6, 0, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 5. Suppose -k + 0 - f = -5*c, 2*c = -5*k + 31. Suppose c*v = -53 + 194. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2445264478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 12*f**2 - 26*f + 4. Let a be r(-10). What is the greatest common factor of a and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-9)*1164\/(-388).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, -500, -1658, -3466, -6140?\nAnswer: -9896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkbvkbbonbvnn. What is prob of picking 1 n, 1 v, and 1 k?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*d = 2*p - 9, -3*d = 4*p - 18. Suppose 2*j = -2*v + 54, -p*j - v + 0*v = -75. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-105)\/(-9) + -3). Let q be k\/14 + 16\/56. Let p be 6\/(2\/((-8)\/(-6))). Solve 2*o + u - 4 + 3 = 0, -q*u - p = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174154 = -28*b + 131130. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -142*k**3 - 3*k**2 - 6*k. Let b(a) = -141*a**3 - 3*a**2 - 7*a. What is 6*b(v) - 7*r(v)?\nAnswer: 148*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s + 12*s + 15*s - 15*s.\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*x + 1 + 16 + 11 with respect to x.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.3936302 rounded to two decimal places?\nAnswer: -295.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*f**5 - 6*f**3 - 2*f + 25?\nAnswer: -440*f**3 - 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*l**5\/7 - 8140*l**4\/7 - 26512*l**3\/7 - 8096*l**2\/7 + 3040*l - 5312\/7 = 0. What is l?\nAnswer: -2, 2\/5, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 31*a - 5*a)*(-6 - 14*a + 12*a + 2).\nAnswer: 80*a**2 + 160*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-8))\/((-6)\/(-8)))\/(45\/4185)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 68 = j. Let h = 34 + j. Let k(i) = i**2 - 15*i + 3. Let p be k(15). Solve -4*l = v - h, v + 6 - 18 = -p*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + ((-51)\/(-24) - 4). Let m = 450.6 - 450.7. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 958, -1\/2, -673, 2\/5 in ascending order.\nAnswer: -673, -1\/2, 2\/5, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-6)*258\/(-215).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = x - 4*f, -2*f = x + 3*x - 18. Solve -3*a - x - 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 359.1 + 0.9. Let s = z + -364. Sort s, 0.4, -2, 2\/9 in decreasing order.\nAnswer: 0.4, 2\/9, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 3:33 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-14)\/(-4))*2. Suppose 2 = z*v - 4. Let w be (-3)\/(-3) + 0\/v. Solve 0*j = -j + w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/24*(-2)\/7)\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l + 5*l**4 - 2 - 596*l**3 + l**4 + 598*l**3 to the form d*l**2 + y*l**4 + n*l**3 + j*l + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034406532 to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040.61268 rounded to one decimal place?\nAnswer: -2040.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*f - 229, -5*i = -f - 4 - 296. Suppose -3*t + 2*t + 4 = -5*z, -t - 4 = 3*z. What is the remainder when i is divided by 247\/13 + (-4 - z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15611.44 times -0.1?\nAnswer: 1561.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -8, -0.04, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-20))\/(-2)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133291168 is divided by 3555.\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -10)\/((-3)\/(-2)). Let q = -87 - -102. Suppose 0 = -5*w + q, -w = -53*c + 58*c - 43. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + g + 232, -4*g = 3*n - 212. Suppose -2*r = 2*r + n. Is 18 a factor of (-2 + 1)*(r - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 7*c**2 + 2*c - 21. Let t be q(2). Suppose 3*x + 48 = -159. Let n be x\/(-6) + 4\/(-8). Solve -4 = t*z + n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*o, -o = m + 4*o + 24. Let g(y) = y - 1. Let d(n) = -5*n + 4. Let b(u) = -2*d(u) - 9*g(u). Let h(r) = 2*r + 3. Calculate m*h(x) - 3*b(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-282)\/(-1551) + 0 + 62\/22. Factor -2\/7*q**2 - 1\/7*q**d + 0 - 1\/7*q.\nAnswer: -q*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/41, -17.4, 0.4?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 3*s - 3. Let h be (-2)\/7 + (-240)\/(-56). Suppose -h*c + 8 = 0, c = -4*f + 3 + 11. Give t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in -30, -2\/9, -0.1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (5548\/22 + -1). Let x = s + 253. Is 0 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3713*h*n**2*o + 602*n**2*o - 3*o wrt h.\nAnswer: 3713*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 13\/(-7))\/(22\/(-44))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2033*w. Let p(r) = 191*r + 402. Give p(z(q)).\nAnswer: -388303*q + 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2105499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*h + 11 = 0, -2*z - 3 = -7*z - h. Let c = z - -658. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 12\/23 (c) 3233 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 + -76. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 + 7)*(-6)\/(-36). Which is the third smallest value? (a) 17 (b) -3.9 (c) 2 (d) t (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i + 5. Let h(w) = -3*w - 2. Let a(r) = 10*h(r) + 4*j(r). Suppose -10 = -3*f - 2*f. Let d(x) = 0*x + 0*x**f - x**2 + 0*x. Give a(d(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 177, 879, 2087, 3795, 5997, 8687?\n\"Answer: -k**3 + 259*k**2 - 68*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kmkkkm.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Let f = 8 + -4. Suppose c = 3*z - 53 - f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-18))\/(-7)*(243\/45)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5709218*x**4 - 3113276*x wrt x.\nAnswer: 68510616*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 3*d + 4. Let a = 57 + -60. Let i be n(a). Suppose -2*k - y = -166, k - y = -i*k + 422. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10832245.\nAnswer: 5, 2166449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(24\/15) - (-6)\/24 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 893, -3\/4, -6, -3, 2, 1.8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - 79*o + 12. What is the hundreds digit of c(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1258909558 or 1258909559?\nAnswer: 1258909558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 + -59413.\nAnswer: -59551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -0.3. Let q = k + 1.5. Put 0.1, -3\/8, q in increasing order.\nAnswer: -3\/8, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22047 - 3680. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 51. What is the first derivative of h - 6*t**2 - 5*t**2 + 2*t**2 - 2*t**2 wrt t?\nAnswer: -22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 329810724 divided by -2011041?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*x**2 + 13798*x + 11066375.\nAnswer: -32*x + 13798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*l + 45 = 0, 5*l - 4 = -5*x + 1. Suppose -2*m - x*m - 32 = 0. List the prime factors of ((-60)\/21)\/(m\/14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.22132 hours to minutes.\nAnswer: 5833.2792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l - 12. Let y be w(0). Let f = y + -6. Let b = -12 - f. 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: Suppose 8*u - 3*u + 20 = 0. Let c be -2*(u + 3) - -40. What is the highest common factor of 105 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -7*j**4\/4 - j + 150. Let i(u) = -3*u**2. What is i(t(f))?\nAnswer: -1323*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17094061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/36 (b) 0.5 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 - 15*q**2 + 1\/3*q**3 + 0*q + 1\/12*q**4 - 1\/30*q**5. Determine v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a week in minutes?\nAnswer: 88704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-9))\/((-3)\/9). What is the smallest value in f, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 10*f**2 + 12*f + 3. Let r be a(9). Let g = 34 - r. Suppose -3 = -g*d + 9. Solve 5*i - 2*u - 20 = -3*u, -5*u = d*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1771 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*f + 152 = 0, 0 = -4*o - 19*f + 18*f - 294. What is the closest to 0 in -12, 0.2, o, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/6)\/(200\/400)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k. Let g(d) = -17*d. Let w(s) = 40*s + 1. Let h(c) = -7*g(c) - 2*w(c). Give p(h(j)).\nAnswer: -351*j + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1\/4)))**19\/(v**1*v**(-1\/10)) assuming v is positive.\nAnswer: v**(77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 164339 divided by 3?\nAnswer: 164339\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2108 + -2060. Suppose 3 - 21 = -2*j. Calculate the least common multiple of d and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4 - 26\/(-20))\/(17\/(-108800)*64)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let a(d) = d**2 - 5*d + 4. Let r(b) = a(b) + 2*h(b). Let f(v) = 2*v**2 + v + 1. Let o be f(-2). Is r(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 9*w**2 + 6*w + 5. Let n be m(-8). Solve 3*d = 4*b + d - 14, 3*b = -2*d + n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**8)*n**(-2\/39))**(33\/2) assuming n is positive.\nAnswer: n**(1705\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17050, -17052, -17056, -17062, -17070, -17080?\n\"Answer: -m**2 + m - 17050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + 3d1?\nAnswer: 3eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.364505ml to litres.\nAnswer: 0.008364505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -1031, -2345, -4193, -6575, -9491?\nAnswer: -12941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57761 - 62914 = -8387*p + 1114*p - 4307 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyygvyysyavyyyyy. What is prob of sequence vgv?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + u + 459 - 465)*(2*u + 0*u + 0*u) in the form p + y*u + f*u**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100458, 100537, 100618, 100701?\nAnswer: 100786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*2\/4 - -20. Let n(h) = -6 - 3 + 4 + h**2. Let u be n(-4). Calculate the greatest common factor of u and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + 0.2. Let n = 0 + 0. Let a be (8\/6 - 1)*-1. Put n, y, a in decreasing order.\nAnswer: y, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386.7 + -405. Let n = k - -17.9. Let t = -2 + -1. Which is the second smallest value? (a) -4 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1 - 10*o + 0 + 0. Let n(d) = -d**3 + 12*d**2 - 10*d - 12. Let r be n(11). List the prime factors of l(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/((-27)\/27*1\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -1, -5133 in increasing order.\nAnswer: -5133, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/((-1)\/(-2)). Let l be (a\/2)\/(3\/(-6)). Suppose -9 = -2*w + i, 5*i + 7 - 2 = 2*w. Are l and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, d: 3}. Give prob of sequence de.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 3*c**2\/2 - 3*c - 1. Suppose -y + 1 = 2*g, 12 + 1 = y - g. What are the prime factors of d(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400141.\nAnswer: 7, 57163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -559 and -557 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168888 by -42222.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43417, -86545, -129391, -171955, -214237, -256237, -297955?\n\"Answer: 141*f**2 - 43551*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -5, 736 in descending order.\nAnswer: 736, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (999\/(-111))\/((-2)\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 607801.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 43*m**2 - 18*m + 3. Is l(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, 3\/5, 627?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3520)*2*-1)\/(2*(sqrt(99) - ((sqrt(99) - sqrt(99)*-2) + sqrt(99)) - sqrt(11))*3).\nAnswer: 4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1337, 1492, 1759, 2138, 2629?\n\"Answer: 56*w**2 - 13*w + 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15335 and 966105.\nAnswer: 966105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-80) - 21\/(-90).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -91, -154, -227, -304, -379, -446?\n\"Answer: p**3 - 14*p**2 - 12*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*m + 1020, 5*m - 926 - 345 = -4*f. What is the remainder when m is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16261368 by -92.\nAnswer: -176754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 942 - 940. Let y = 0 - -4. Solve -2*r - i = -y*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38512, -77149, -115796, -154453, -193120, -231797?\nAnswer: -270484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 77, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -32.5 (b) 6\/11 (c) -0.4 (d) -12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 18. Let d be (o\/(-7))\/((-3)\/(-42)). Solve 2*g = 3*h - 12, 3*h - d*h = 4*g + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35459752129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:22 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87237959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.563078 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3 + 0 + 106*l**2 - 5*l + 0 + 2. Is m(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 882956.3 years?\nAnswer: 882.9563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -82b?\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 1, x: 1, h: 1, m: 6, e: 5}. Give prob of picking 1 j, 1 e, and 1 h.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 34*f**2 - 95*f - 11. Give q(31).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6634 - 4*i**2 - 3186 - 3448.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/(-486)*-36 - 9\/((-45)\/(-80)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(2\/107))**(-3\/22) assuming v is positive.\nAnswer: v**(-9\/1177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 9*i**2 + i + 11. Let v be j(-9). Suppose y - v*y = -3. Solve -2 + 65*d**y + 2*d**4 - 57*d**3 + 4*d**4 - 8*d - 4*d**2 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8721 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2265\/12231)\/((-5)\/(-9)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 7*c + 18*c - 85 - 8*c - 5*c in the form f*c + p and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 3*f + 36, 3*s - 38 = 4*f. Suppose 9*o - 7*o = 52. Suppose -5*a = -o - 4. Solve a = -4*i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + 20. Suppose -8 = -v*y + 8. Suppose g - 4*g = 4*o - 52, y*o = -4*g + 56. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1094\/13 + 84. Which is the closest to -1? (a) d (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 54*q + 3098. Calculate a(35).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogofrrroorognoru. What is prob of picking 1 r, 1 f, and 1 u?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -86*n**3 + n**2 - n + 44. Let t(y) = y**3 + y**2 - y. Let a(g) = -i(g) + t(g). What is the first derivative of a(w) wrt w?\nAnswer: 261*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-10)*1485\/(-132). Let g = 0 + 0. Suppose 4*i - 3*h + z = -g*h, i - 5*h = -28. Let f(p) = p**2 + p + 4. Give f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.46 - 42. Let i = 6.540434 + k. Round i to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1389 to the nearest ten.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - 2*x**5 + 4*x**5 + x**5 + 0*x**5 - 2*x**5 + (-x - x + 0*x)*(x - x + x**4) - x**5 - 2*x**5 + 2*x**5 - 48444 + 48444 - 11*x - 2*x**5 + 4*x**3.\nAnswer: -4*x**5 + 4*x**3 - 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/5, 26, -4, 3\/5, -114\/85, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -75887018?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 7. Let h be w(7). Suppose h*r = -r + 1. Is -0.1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + c**2 - 4*c + 7. Suppose -l = 1, 4*j + 16 = -6*l + 2*l. Let p be f(j). Is -13 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -129317, -127896, -126475, -125054, -123633?\n\"Answer: 1421*f - 130738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60, 125, 190, 255, 320?\n\"Answer: 65*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 81. What is the remainder when 44 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15620328*0.8.\nAnswer: -12496262.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddliiildiidli. What is prob of picking 2 i and 1 d?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 98880129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 5*o**4\/12 + 53*o - 39. Let j(v) be the first derivative of m(v). Let w(p) = -p**2. What is w(j(f))?\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5262 = 5253 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 6*r - 6. Let a be o(-5). Let n = a + 5. Suppose 4*k + 1 = -3*b, 0*b + 2*k = 2*b - n. Solve p = -2 + b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 766 - 354. Let g = 487.8 - i. Let t = -68 + g. Round t to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3045032.5 rounded to the nearest ten thousand?\nAnswer: -3050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-9)*1*6. Suppose d*g + 3 = 5*g. Let s = g + 76. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67171066 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*l - 0 - 9, 4*x - 8 = -4*l. Suppose 0 = -l*t - 2*t + 245. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296725822.\nAnswer: 2, 89, 1666999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827856 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 3*q. Let p(f) = -3*f**3 + 7*f - 1. Suppose 2*l = 4*t - 138, 4*l - 147 = -4*t + 3*l. Let c = 38 - t. Determine c*p(d) - 5*n(d).\nAnswer: -d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 72 (b) 2 (c) 0 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20379865*c**2 + 19174365?\nAnswer: -40759730*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 360*y - 36344. Determine a(186).\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2\/13 + 34*s\/13 - 60\/13 = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 = 5*s - 10, 2*u = -2*s + 2. Is (u\/(-4))\/(5\/190) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26964 and 42?\nAnswer: 26964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*-2*sqrt(1008) + (sqrt(1008) - (sqrt(1008) + -1)*2 - sqrt(1008)) + 3)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -37. Let w(b) = 9*b**3 + b**2 - 1. What is w(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (360\/(-44) - 12\/(-66))*-345. Suppose z = 20*d - 14*d. Is d a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9334113.000044 - 9334075. Let l = k + -38. Round l to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 6*k - 3. Determine d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8950.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 5)*(2 + 2 - 2) - 164 + 186 + 233 - 1 + 1 + 5)*(1 + 2 + 1 + j**2) to the form d*j**2 + o + a*j and give d.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/5, -3\/13, -508?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/177, -87.7, 0.04, -0.4, -4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -451 + 451 + 3*u**2. Let m(n) = 34 - 34 - 5*n. Determine o(m(q)).\nAnswer: 75*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(8)\/sqrt(4)*-2.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 4. Let m(o) be the first derivative of o**3\/3 + 5*o**2\/2 - 3*o - 3. Let j be m(-5). Determine p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.1 and 13.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 1698?\nAnswer: 6792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 11, 2880 in decreasing order.\nAnswer: 2880, 90, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let z(t) be the third derivative of -t**2 + 0*t + 7\/24*t**4 + 0*t**3 + 0. Determine k(z(a)).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 35*f**4\/12 + 5*f**3\/3 - 9*f**2. Let r(k) = 23*k + 3. Let n(g) = -5*h(g) + 16*r(g). What is the derivative of n(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1673*s - 3338*s + 150*s**4 + 2*s**3 + 1669*s in the form g*s**2 + m*s + q*s**3 + w + j*s**4 and give j.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -753 divided by 1\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 95*p - 1023. What is the tens digit of c(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 508, 851, 1210, 1591, 2000, 2443?\nAnswer: 2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 2*g**2 - 2*g**2 + 3*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/2 - 62631230*f - 1961335485656450 = 0. Calculate f.\nAnswer: -62631230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 7. Let p = 4 + t. Let z be -2 + p - -2*2. Put z, -1, 5 in ascending order.\nAnswer: -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/9 - 50*z**3\/9 - 116*z**2\/3 - 728*z\/9 - 496\/9 = 0 for z.\nAnswer: -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -32*y**5\/5 - 55728*y**4 + 199800174*y**3\/5 - 6882624478*y**2 - 17244041142*y\/5 - 431413434 = 0?\nAnswer: -9385, -1\/4, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 115bb73 + 5?\nAnswer: 115bb78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201193945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -710*y + 5980. Let c be v(8). Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -1, -3, -7 in ascending order.\nAnswer: -7, -3, -1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 209912768?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -24*q**3 - q**2\/2 + 76*q - 174. What is the second derivative of z(d) wrt d?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302680.93 rounded to the nearest one hundred?\nAnswer: -302700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/47 in 2\/15, -8, -1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -9 (b) 2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/220 + 9*l**5\/110 + 15*l**4\/44 - 25*l**3\/11 - 2*l**2 + 44. Factor s(q).\nAnswer: 6*(q - 1)*(q + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 - 321 = -96*a + 997 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(252) + 3 + sqrt(252) + -1 + -5)**2 + (sqrt(252) - 5*sqrt(252)*1) + 3.\nAnswer: -96*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 208*f**2 + 10588*f + 21996. Give z(-250).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 - 20*p**3\/3 - 11*p**2\/3 + 680*p\/3.\nAnswer: -p*(p - 5)*(p + 8)*(p + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4023 - -2?\nAnswer: 4025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.219 - 0.119. Let p be (160\/315 - 0) + (-2)\/9. Suppose 4*m - 3*z = 11 - 1, -2*m = -z - 4. Which is the closest to m? (a) 4 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(64\/4*(-1)\/2*(-14544)\/(-12928)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10210101110?\nAnswer: -10210101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -314, -312, -298, -266, -210?\n\"Answer: n**3 - 5*n - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 3*j**5\/5 - 15*j**4\/4 - 44*j**3 - 90*j**2 - 1434. Factor w(f).\nAnswer: 3*f*(f - 10)*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -11*a**3 + 21*a**2 + 57*a - 7. Does 67 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4464 = 2*f + 42*f + 26*f for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -135, -131, -131, -141, -167, -215?\n\"Answer: -h**3 + 4*h**2 - h - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 - 2*l. Let m(j) = 4*j - 740. Calculate m(f(t)).\nAnswer: 20*t**2 - 8*t - 740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**2\/2 - 651539*q\/2 + 108590 = 0.\nAnswer: -217180, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7 = -2*f + 5, -5*r + 4*f = 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0388 + -1.9612. What is the nearest to 0 in 32, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121203*c**3 + 366021*c**2 + 7248*c + 36 = 0 for c.\nAnswer: -3, -2\/201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-12) + 2 - 3\/9. Let n(d) = 87*d - 8. Let w be n(u). Differentiate 10*m - 31*m - 341 + w wrt m.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j. Let h(m) = -3*m - 1. Let l(z) = 22*z - 71. Let o be l(3). Calculate o*h(a) - 4*u(a).\nAnswer: -a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p + 59. Let l be b(14). What is the third derivative of -19*c**3 - 6*c**2 + 45*c**3 - 2 - 1 - 20*c**l wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 12 = 4*x, -3*x + 3 - 12 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 371 - 2*c**2 - 371. Let w(l) = -13*l + 3. Calculate w(k(y)).\nAnswer: 26*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 127498 divided by 2\nAnswer: 63749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373226007 divided by -1?\nAnswer: -373226007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -4. Let r be (-2)\/4 - (63\/d)\/(-3). Sort 2, r, -0.4.\nAnswer: -0.4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.19. Let h = u - 3.91. Let n = -3.9000076 - h. Round n to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273*i**2 + 2*i - 414*i**2 - 131*i**2 + 0*i to the form j*i + c*i**2 + q and give c.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1463025 and 1131?\nAnswer: 551560425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000200641 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -53.1. Which is the second biggest value? (a) -0.4 (b) 5 (c) -4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400*n**3 - 5*n**2 - 17*n - 50 wrt n.\nAnswer: 2400*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -446\nAnswer: 178.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9764881?\nAnswer: 7, 1394983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5578 - -5540. Is -1 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 29. Suppose 2*x + 3*n - 8 = -0*x, 3*x - 4*n = 29. Let c be z(x). Let w be 4 + -2 - -5*1. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 52. Suppose 0 = -w - 1 + b. Solve -w = 5*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 22. Let u = 36 - t. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 1172 = 0. List the prime factors of c.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 2*i - 4. Let q be y(-4). Let f(u) = u**3 - u**2 - u + 36. Let j = 1 + -1. Let l be f(j). Calculate the greatest common factor of l and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*n = 2*w - 2, 5*w + 3*n - 22 = 0. Suppose 3*i - w*a = 34, -4*a + 34 = -i + 2*i. What is the remainder when i is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221000 (base 3) to base 6\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 19*z**4\/12 - z**3\/3 + 17*z**2\/2 - 18*z. Let d(b) be the first derivative of o(b). Does 18 divide d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 6*p - 10. Let x(z) = -z + 7. Let c be x(-3). Let l(i) = 9*i**2 + i. What is the least common multiple of l(1) and a(c)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - o. Let m(k) be the first derivative of k**3 - k**2 - 1370. What is m(r(c))?\nAnswer: 12*c**4 - 12*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 6\/23 (b) -1\/3 (c) -5\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20113?\nAnswer: 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -4*r - i, -3*r + 2756*i - 2754*i - 90 = 0 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -287713 divided by 43\nAnswer: -6691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 + u + 66. Determine b(-6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58918.9 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*v - 2 - 2, -u = -2*v - 4. Solve y + 3*y = u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Let b be (34\/4)\/((-3)\/(-6)). Suppose -b + 1 = -2*m. Calculate the remainder when m is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**5\/5 + 3*a**4\/2 - 17*a**3\/3 + a + 9. What is the third derivative of y(o) wrt o?\nAnswer: 48*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/3 + 2482*a\/3 - 1238.\nAnswer: -2*(a - 619)*(2*a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*d**3 - 684*d**2 + 2084*d + 444.\nAnswer: -4*(d - 3)*(d + 37)*(5*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a + -64811a?\nAnswer: -648070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21252*t**2 + 2*t + 22551*t**2 - 2*t.\nAnswer: 1299*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/(((-370)\/(-24))\/(-37)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -52 + -6 + -1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -354 + 2542a?\nAnswer: 25086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 314846, 629705, 944574, 1259453, 1574342, 1889241, 2204150?\n\"Answer: 5*o**2 + 314844*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 18. Let q(s) = s**2 + 4. Let y be q(-3). Let m be (y + 0)\/(3\/3). What is the units digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*s, 0 = 5*a + 2*s + s. Solve a = -0*o + 13*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 2 = -3*g + 11*l, -5*g - 10 = -5*l. Put g, 122, -2 in decreasing order.\nAnswer: 122, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d**2*r**2 - 1345*d**2 + 45*d*r**2 wrt r?\nAnswer: 10*d**2*r + 90*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 11*t + 12. Let q be x(11). Suppose -q*w + 648 = -492. Calculate the remainder when 373 is divided by w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-13)*9620\/6660?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*p - 134*p - 31 - 31 = -18*y, 3*y - 25 = -2*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9409242*u - 8729938.\nAnswer: -9409242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 123958025.\nAnswer: -4\/123958025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 15*o**2 + 38*o - 3. Let n be z(-11). What is the highest common divisor of n and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -270, -401, -606, -885, -1238?\n\"Answer: -37*s**2 - 20*s - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 100 = 2*v - 30, 3*v + 5 = r. Let j = 78 - r. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - 1*((sqrt(143) - 3*sqrt(143) - sqrt(143)) + sqrt(143) - sqrt(143))) + sqrt(143))\/sqrt(11).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 4*u + 13 - 2*u. Let s be n(0). Do 12 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 31. Let n = -6 + 43. Let h = n - 35. Solve -o*l - h = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b = -140 - 139 + 91 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359875\/106182 + -2\/5899. What is the common denominator of 29\/454 and h?\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -0.5. Put 1\/7, 0.02, a in decreasing order.\nAnswer: a, 1\/7, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.24 (b) 0.19 (c) -1.264 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2694 - 2514. Calculate the least common multiple of x and 210.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s**2 - 68*s + 287. Calculate p(4).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20697.49mg in tonnes?\nAnswer: 0.00002069749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(180)*-6 - 3*-1*sqrt(180) - -2*(sqrt(180) + 3)*-5)*-5)**2.\nAnswer: 172140*sqrt(5) + 1647301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*u - 21, 3*u + u - 10 = -5*i. Let k be (u\/4)\/((-1)\/(-4)). Suppose k*j = -0*x + x + 2, -5 = j - 2*x. Solve 6 = -5*t + j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73756796 is divided by 2080?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 767963489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.94814 to one dp.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 5*l**2 + 4*l - 23. Let t be c(5). List the prime factors of t + 132 + (-5 - 1).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4657699\nAnswer: 1\/4657699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3*b**3 + 12*b**2 + 78*b - 320. Calculate the lowest common multiple of 105 and g(-4).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 27. Let z = -38 + h. Which is the closest to 3? (a) 2\/17 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 - 248 = 3*c - 530 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2*y + 4. Let o(l) = -3. Let u(j) = 2. Let z(f) = -3*o(f) - 5*u(f). What is s(r) + 2*z(r)?\nAnswer: -r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11850 bigger than 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 - (-44)\/16. Let r be 93\/21 - (-36)\/63. Factor 7*w**f - 7*w**3 + 0*w**4 - 20*w**2 + r*w**4.\nAnswer: 5*w**2*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -229 and -2.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 538058733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-2\/3)*a*a))**(-16\/7)*(a*a**(-1\/3))**(-4\/3))**(-35))**8 assuming a is positive.\nAnswer: a**(320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5778 and 57371046.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -8296 = -8297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36272951917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -3 (b) 1\/3 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126429 greater than 126445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 26*h = 45*h - 405 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379270 is divided by 630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 1 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 2*z - 34 = 11*n, -4*n - 9*z - 21 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41023 and 53?\nAnswer: 41076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18a (base 13) to base 5\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 3*p + p + (-920 + 920 - 3*p)*(-2 - 2 + 5) + 4*p - 2*p - 3*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 142037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4642 (base 7) in base 4?\nAnswer: -122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - 0) + -1)*(-37)\/(1998\/(-126))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + x**2 - 5*x + 12. Calculate k(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -330001*c**3 - 394*c + 396*c + 1 + 3*c**2 - 3*c**2. Let h be z(-1). What is h rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27784981 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cececcccceeececyc. Give prob of sequence cy.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1911 and 10374.\nAnswer: 72618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -6*h + 2*h - 15, -g + 15 = -h. Let t(v) = -v**3 - 11*v**2 - 14*v - 7. Is t(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in -2, -2\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3.8. Let p = 2106.4 + -2117. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -7, 2, -836 in ascending order.\nAnswer: -836, -7, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 339*g - 4 - 1 + 8.\nAnswer: -339*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 2*g**5 + 293*g**3 + g**4 + g - 322*g**3 + (3*g**4 - 4*g**4 - g**4)*(0*g + 0*g - 4*g) - 5*g**5 + 4*g**5 + 2*g**5.\nAnswer: 11*g**5 + g**4 - 29*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013 (base 4) to base 14.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 70, 157, 278, 433, 622?\n\"Answer: 17*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1444 = 2*r + 1430 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j**3 + 8*j**3 + 15 - 4)*(2*j + 2*j**2 - 2*j).\nAnswer: -2*j**5 + 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/704 and 11\/103022336.\nAnswer: 1133245696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgr when three letters picked without replacement from {b: 3, a: 1, c: 2, g: 5, r: 5}?\nAnswer: 5\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -345*y - 85. List the prime factors of c(-5).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -17*g**2 + 1. Let y(f) = -32*f**2 + 6*f + 31. Let w(m) = 63*m**2 - 11*m - 57. Let o(c) = -6*w(c) - 11*y(c). Give -5*o(r) + 7*x(r).\nAnswer: 11*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*d - 5 = -98*d + 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1413*f**3*g**2 + f**3 - f**2*g - 2*f*g**3 + 1703*f wrt g.\nAnswer: -2826*f**3 - 12*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/15*(-70)\/28?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 times 0.5235?\nAnswer: 131.3985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**37*b*b**(-11))**(-2\/21))**(-4\/3) assuming b is positive.\nAnswer: b**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/616 and 109\/440?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 2*o - 5130 + 5150, 3*d - 33 = -4*o for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2 + 1146*w - 4536 = 0.\nAnswer: 4, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*c + 11*c + 17*c + 20*c + 13*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -78*o - 259. Calculate j(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 5*g + 5. Let j be l(4). Suppose -2 = -r + j. Let a = -3 + 2. Put 4, a, r in increasing order.\nAnswer: a, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**3\/4 - 21*n**2 + 75*n - 72 = 0?\nAnswer: 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*o - 18, 0 = -4*h - 0*h + 5*o - 36. Let a = h - -9. Suppose a = d + d - 6. Solve 7 = 2*c + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m = -2217. Suppose 2*z = 2*l - 75 + 443, 4*z = 5*l + m. Is 37 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37293\/260, -2, 1\/6 in ascending order.\nAnswer: -2, 1\/6, 37293\/260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 + 6349*d - 19056 = 0.\nAnswer: -6352, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 - 2472 = -p + 2*w, 2*w = -5*p + 10019. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 1 r when three letters picked without replacement from {l: 2, r: 1, h: 4, q: 1, y: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2132.757 seconds?\nAnswer: 0.0246846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.53 at most as big as -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4731 and 638427?\nAnswer: 1006799379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 = 5*t, -5*t + 46*q - 48*q + 10 = 0. Let d(z) = -z - 2. Determine d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11032, -11063, -11106, -11167, -11252, -11367?\n\"Answer: -v**3 - 24*v - 11007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-48)\/(-12)*(-1)\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 76*p = -610 + 82 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86416 is divided by 43199.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 0*a**2 + 10265*a**3 - 27694*a**3 - 4*a**2.\nAnswer: -17429*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 79976.41ml?\nAnswer: 79.97641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24680 is divided by 12315.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -499, -468, -415, -334, -219, -64, 137?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3546188176 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -872 + 3836a?\nAnswer: 375a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose 5*x - 4*f - 14 = 8, -s*f + 1 = 5*x. Let y(j) be the third derivative of j**6\/60 + j**5\/60 - j**4\/24 + j**2 - 40*j + 144. Determine y(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 40 = 3*l - 261, -a - 101 = -l. Suppose 0*q + 3*q = l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.36389us in milliseconds?\nAnswer: 0.01036389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/6 (b) -0.1 (c) -788\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (80\/24 + -4)*12\/(-2). Let g(w) = 6*w**3 - 4*w**2 + w + 2. Let n be g(2). Suppose k*r = 2*x - n, -2*r + 7*r = 5*x - 65. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 641524 and 2628?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*v - 12*v - 37562 = -9512 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/8*72\/(-162) + 136. Solve 113*v + 145 = l*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*((b - 5*b + 3*b)*(-4 + 6 - 1) + 2179*b + 829*b - 872*b).\nAnswer: -2135*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*s**3*y - 97*m*y**2 + 2*s**3*y - 106*s*y**2 with respect to m.\nAnswer: -2*s**3*y - 97*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, -16, -5, 0, 1, -968.\nAnswer: -968, -16, -12, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*c - 5*d + 2*d, 5*c = 3*d + 53. Let m(b) = b**2 - 9*b - 6. Give m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 23*i - 60. What is the units digit of o(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (16 - 19 - 4) - -17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 12408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 8 = -2*c + 3*z, 0 = -c + 3*z + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104, -252, -388, -506, -600, -664?\n\"Answer: w**3 - 155*w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171339 and 1845.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*s - 30*s - 273 = 55. Sort -1\/102, 3\/7, -1\/7, s, -0.5 in increasing order.\nAnswer: -0.5, -1\/7, -1\/102, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((0 - 4)*(-3 + (-22)\/(-8))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117 + -116 - -73) + 3?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 28 (b) -1\/1005 (c) 0.1 (d) 9 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 452.\nAnswer: 3, 9, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10514846 = 299*s - 10516939 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29403996565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + o - 4. Suppose -r + 3 + 1 = 0. Let y be u(r). What is y rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2828 = s, -21*s + 23*s - 2828 = -y. What are the prime factors of y?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -173*o**3 + 123*o**2 + 1. Let u(i) = -173*i**3 + 127*i**2 + 1. Let r(f) = 4*j(f) - 5*u(f). What is the third derivative of r(y) wrt y?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001330222 - -200020?\nAnswer: 1002130302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 - 5776*i**5 - 2*i**3 + 4*i**2 - 22578 wrt i?\nAnswer: 240*i**3 - 346560*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-2) + (2 - 11). Suppose 5*y = 5*c - 25, 2*c - 4*y - 18 = -0*c. Put -7, u, c in decreasing order.\nAnswer: c, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**5\/10 + 533*u**3\/6 + 577*u**2\/2 - 5*u + 111. What is the first derivative of y(n) wrt n?\nAnswer: -6*n**2 + 533","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-1 + (-9)\/(-4)). Let t(m) = -74*m - 4. Let q be t(1). Let y = -66 - q. Sort o, y, -3.\nAnswer: o, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1559 = 5*o + 1574. Suppose -2*f = 2*f. Put -5, o, f, 3 in decreasing order.\nAnswer: 3, f, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - 1) + (7 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**3 + 2. Let k(y) = -7*y**3 - 2. Let m = 2 - -2. Suppose 3*v = v + 8, m*h - 2*v + 16 = 0. Let l = -6 - h. Calculate l*k(w) - 5*n(w).\nAnswer: -2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 53.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107.9 + 108. What is the nearest to b in 2, -10\/11, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 21 = o + 3, o - 3*u + 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -155, -237?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 16 = -2. Let h be y\/(-1)*2\/6 + 3. Suppose -2 = -z + 1. Solve -z*n = h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 115866?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9350282 - 0.0649718. Let j = 0 + -0.1. Which is the third biggest value? (a) v (b) -1\/13 (c) 0 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8911 and 7470701?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 945*b**2 + 11353*b + 5. Determine y(-12).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 15, g: 3}. Give prob of picking 2 g and 2 y.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 4:29 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5434 days in nanoseconds?\nAnswer: 478949760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 263, 489, 725, 977, 1251, 1553, 1889?\n\"Answer: k**3 - k**2 + 222*k + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042698 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 78*j + 490. Determine d(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 24396660?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 2\/41, -5, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p - 14 = h, 5*p + 5*h - 10 = 0. Suppose 2*a + p*q = 1004, -3*a - 2*q + q + 1516 = 0. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 - 9 = 0. Suppose -i + 2 + 3 = -4*y, -4*y = 2*i + 2. Let z = i - 3. Put m, 5, z in descending order.\nAnswer: 5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -27658a4?\nAnswer: 276589c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((9 - 6 - -6) + -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 + 58452*l**3 - 427605154*l**2 + 7678958448*l - 7251411744 = 0. Calculate l.\nAnswer: 1, 17, 14604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12663643819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-10)\/(-120)*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + 0 - (-34 + 35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**7\/210 - y**6\/50 + y**4\/15 - 9*y. Suppose b(x) = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 1\/15*h**5 - 1\/60*h**6 + 0*h + 0 - 1\/12*h**4 + 0*h**3 - 3*h**2. Determine o, given that d(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 3. Let p be v(5). Suppose -5*n + 3*a = 47, 5*n - 2*a + 5*a = -23. Let b = n - p. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from pyppkpkkpqqypdpppq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6126182, 12252362, 18378542?\nAnswer: 24504722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14366 = -5*l + 4*y - 3*y, 5*y = -l + 2842. List the prime factors of l.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 - 5463*i + 10909. Give m(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 7 = 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(y**0*y))\/y*y))\/(y\/y**(-2))*(y*y*y**1\/y)**(-23))**(-12) assuming y is positive.\nAnswer: y**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -180*(-4 - -21*7\/42) - (-42 - -49)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3780.1433 to the nearest ten.\nAnswer: -3780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*x - 20, 5*u + 19*x - 16*x - 52 = 0. Let k = 6 - -1. Solve -u = -3*v + k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:43 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2396?\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*o - 27*o + 97*o + 535*o.\nAnswer: 447*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 12*s + 24. What is the tens digit of h(34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 1. Let p(u) = 2*u + 1. Let o(b) = 4*g(b) - 9*p(b). Let s(a) be the first derivative of 3*a**2 + 15*a - 1953. Determine 11*o(z) + 4*s(z).\nAnswer: 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -469 - -468.94. Let w = 1.4 + n. What is w rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 - 6 + 1 + q**3 - 8*q + 14*q. Let c be f(3). Solve 0*n + 3 = -2*b - n, c*b + 11 = 3*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12815.88 kilometers to nanometers.\nAnswer: 12815880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*q = 118, 0 = 6*u - 11*u + 4*q + 313. Suppose 21*a - u = 40. What is the smallest common multiple of 58 and a?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 4*i. Let l = -102 + 1116. Let h = -1012 + l. Which is the nearest to 0.1? (a) i (b) h (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 35. What is the smallest common multiple of c and 69?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2325)\/(-1054) + 216\/(-306) - 1\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, 88 = 4*j + 3*b + 272. Let r = 4 - j. Calculate the remainder when r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(190) + sqrt(190) + (sqrt(190)*-2*-4 - sqrt(190)) + sqrt(190))*4)\/(-4*sqrt(1210)*2 - (sqrt(1210) + -1*sqrt(1210))*-4).\nAnswer: 10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - y + 24 = -4*y, 0 = 11*v - 8*v + 18*y + 69 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - 538*m**2 - 18*m + 18634 wrt m.\nAnswer: 3*m**2 - 1076*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, 1 t, and 1 f when four letters picked without replacement from lxtwwfz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 27*x**2 - 92*x + 11. List the prime factors of g(18).\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from pnpnrpnpnnpnpn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 3*n**2 - 10 + 5*n + 15 + n**3. Let x(r) = -r**3 + r**2 - 6*r - 5. Let m(q) = -4*w(q) - 5*x(q). Calculate m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 63. Let f = -11 - r. Solve 2*q + f = -0*y - 4*y, -20 = 5*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - 13*a + 29. Let v be o(4). Suppose 14 = 11*k + v. Put 0, 2, 5, k in descending order.\nAnswer: 5, 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-11)*u**(-2\/9))\/(u**(-1)\/u)**(16\/9))**(-3\/34) assuming u is positive.\nAnswer: u**(23\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2. Let l(m) = -1769194*m. Calculate t(l(n)).\nAnswer: -6260094819272*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from uululdajljmulj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 74*i**2 + 28*i - 14. Let a(w) = 16*w**2 + 6*w - 3. Let n(z) = -14*a(z) + 3*r(z). Let g(u) = 2*u + 3553. What is g(n(o))?\nAnswer: -4*o**2 + 3553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8787 + -8789. Put -30, 0, c, -5 in ascending order.\nAnswer: -30, -5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -13 + 3, -3194 = -5*n - 2*y. Let m(b) = 28 - 10 - 641*b + n*b. Give m(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d\/(d**0\/d*d))**(8\/3)\/(((d**(-2\/9)\/d)\/d**5)\/(d*d**(-1))**(-1\/31)) assuming d is positive.\nAnswer: d**(608\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -516*p - 27*p**2 - 495*p - 128 + 1011*p to c*p**2 + f*p + r and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.26 - 20.26. What is the closest to -77 in l, 0.2, -1\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34733 - 35002 + 100*g**3 + 69735 - 27*g**3.\nAnswer: 73*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 180086 smaller than 180084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6112544 (base 7) to base 9\nAnswer: 1325868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, b: 9}. What is prob of sequence bb?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136201.\nAnswer: 11, 103291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, f: 2}. Give prob of picking 3 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -2*f, -5*f + 4*a + a = -10. Let m = 5 - f. Factor -3\/5*j**4 + 0*j + 0 + 0*j**2 + 2\/5*j**3 + 1\/5*j**m.\nAnswer: j**3*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-170)\/(-30) - (-18)\/(-3). Let h = -2.639 - 0.471. Let p = 0.11 + h. What is the nearest to 0 in 0.03, p, r?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3843614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 9*g - 19*g - 14 = 3*t, 4 = -2*g - 2*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143\/6 + 24. Let o(c) be the first derivative of 0*c + g*c**3 + 0*c**2 + 2. Let o(d) = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 3*s - 3*s + (-s**2 + 5*s**2 - 5*s**2)*(12 + 49 + 1).\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 966.437?\nAnswer: -965.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*b = 3*b + 16, -3*u - 4 = 4*b. Suppose -3*k + u*n = -49, 2*k - n - 30 = n. What is the highest common factor of 44 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*t = 791*t + 1008 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 5:46 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 292, 574, 856?\n\"Answer: 282*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.615883 - 1.02?\nAnswer: 0.595883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1671116270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + -8 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -66850?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125264?\nAnswer: 2, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**3 + o**2 - 2*o + 2. Let k be j(1). Calculate the greatest common factor of k and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5509*h = 5575*h + 1848 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252320*b + 250758*b - 503079*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r**2 + 3*r + 14. Let n(k) = -17*k**2 - 3*k - 12. Determine -6*m(g) - 7*n(g).\nAnswer: 17*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5240, 6043, 6846, 7649?\nAnswer: 8452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 39*v**2 - 42*v.\nAnswer: 3*v*(v - 14)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*q + 38*q + 36*q)*(6 - 2 + 274*q - 4).\nAnswer: 30140*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -45808 (base 9) in base 14?\nAnswer: -b1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**4 - 10*v**3 - 4. Let m(s) = 4*s**4 + 10*s**3 + 3. Let p(c) = -5*b(c) - 6*m(c). What is the derivative of p(g) wrt g?\nAnswer: -16*g**3 - 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1039, -2079, -3119, -4159, -5199, -6239?\nAnswer: -7279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 + 124*i + 28. Let t(b) = -b**2 + 16*b + 1. Let c(j) = -k(j) + 4*t(j). What is c(20)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -18 - (8 + -10 + 8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -121, 3, -5, -3, 4 in increasing order.\nAnswer: -121, -5, -3, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 3 - 2 - 7. Let b be l(5). Let k(w) = -8*w + 1. What is the remainder when 25 is divided by k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 48486970?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/((-5)\/((-30)\/(-2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 33400715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*f - 84*f = -860. Suppose 2*i - f = 4. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-66)\/9*3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7442 - 7324. Calculate the remainder when 1158 is divided by v.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*d**2 + 265*d**2 + 102*d**2 + 194*d**2 + 245*d**2 as p*d**2 + i + s*d and give p.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -274 - 2046?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.4 (c) -45 (d) 43902\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -121109\nAnswer: 6\/121109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6 - 2. Let z be k\/(-4)*(72 + -78). Solve 0 = -3*q - 3*s + 15, 2*s - z - 17 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -14*g**4 - 1264*g**3 - 31062*g**2 - 112316*g - 29584 = 0?\nAnswer: -43, -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 - -243. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -482*j**3*l**4 + 4*j**3 - 3*j**2*l**4 + 607*j**2 wrt l.\nAnswer: -1928*j**3*l**3 - 12*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45062 + -2?\nAnswer: 45060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-20 - (-63 - -19)) - (0 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let t be s(3). Let c(f) = -3*f**2 - 4*f. Let r be c(t). Let j = 8 + r. Is -8 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3937 = -18*x - 1237. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*6*924\/792.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-1)\/sqrt(12) - sqrt(21)\/(sqrt(3)*-2).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -104*1\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 33. Calculate the highest common factor of n and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**4 - 3*p + 1 + 5*p - 10*p**2 + p**3 - 5*p**4 + 3*p**2 in the form i*p**3 + g + y*p + c*p**4 + d*p**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1213 and -46749.\nAnswer: -5670.6537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/46)\/(-2)*253\/((-68310)\/810)\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34291 - 121553 = -54*o. Is o a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 2*u**2 + 0*u**2 + 4*u**2 + 4*u**2 - 6*u**2 + (8 + 1 + 4)*(4*u**2 + 3*u**2 - 6*u**2))*(3 - 3 - 3*u**2).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 6 + 142*b**2 + b**3 + 137*b**2 - 280*b**2 to w*b**3 + l*b**2 + y*b + v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-28) - ((-2704)\/(-3339))\/(-2). Let f = u - 8\/53. Sort -4, f, -2\/5.\nAnswer: -4, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*r + 66 = -0*k, -4*r = 2*k - 541 + 721 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:51 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2515*l**2 - 18*l + 18. Let h(i) = 629*i**2 - 4*i + 4. Give -9*h(p) + 2*r(p).\nAnswer: -631*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*o + 494*o = 41*g - 220, 2*o = -4*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l - 5*r = 40, -r + 58 = 2*l. Let j be 21\/14*l\/(-9). Let w be (-24000)\/((-8 - j)\/(-975)). Round w to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001000 + 10010?\nAnswer: 100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 8*l + 94. Put 14, 3, l, -7, -1 in ascending order.\nAnswer: -7, -1, 3, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-33)\/(-6) + 1). Let d = -10 + -4. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and (-14 - 1 - 33)*-30.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-18))\/(7\/7)*(-8)\/(-2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - 5*sqrt(84)\/sqrt(4))\/(sqrt(108)\/sqrt(9)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 3*u + 189, -2*u - 1350 = 1420*z - 1440*z for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.54 + 0.07. Let s = 2199487.8 + -2199489.4100149. Let m = r + s. What is m rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.85089 litres to millilitres.\nAnswer: 62850.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450.5391 microseconds to minutes.\nAnswer: 0.000007508985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snmmmymynnyyyy. Give prob of sequence mys.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**4\/6 + f**3\/3 - 3*f**2 - 12*f. Let b be u(5). Let o = b - -23. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*j = 1, -4 = -4*g - 5*j + 4*j. Is (g - 3)\/((-1)\/37) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37883.073 + 37947. Let d = g + 0.073. Let o = -64.00086 + d. What is o rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 - 9*g + 11. Let l be s(5). Suppose 5*m = -4*u + l, -5*m - u + 24 = -3*m. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrh when three letters picked without replacement from hnhnhuruh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 136\/4*(-1)\/(-2). Suppose -32 + 20 = -6*j. Let x be (-8)\/(-52)*(21 - 8). Solve -a + l = -x*r + 5*r, j = a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1306, -7, -5, 1, 0, -6, 3 in decreasing order.\nAnswer: 3, 1, 0, -5, -6, -7, -1306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 11) to base 12\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4814 and 6?\nAnswer: 14442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 - 3*q**2 - 2*q. Let m be a(-2). Let j = 21 - m. List the prime factors of j\/((-9)\/3) - -51.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -165, -370, -657, -1026?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -413.1, 0.5, -1 in decreasing order.\nAnswer: 0.5, -0.1, -1, -413.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054485117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 4 - 3*w**3 - 2*w**3 - 3*w**2 + 6*w**3 + 6*w. Let u be m(4). Put u, 1, -3 in decreasing order.\nAnswer: u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v - c, v + 4*c - 2 = -0*v. Let r(y) = -4*y - v - 15 + 2*y. List the prime factors of r(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 l when four letters picked without replacement from {l: 2, r: 4, y: 2, n: 3, t: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -758 divided by -189\nAnswer: 758\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 + 4762*t - 4762*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -11*w**2 + 11*w - 23. Let n(j) be the first derivative of 4*j**3\/3 - 2*j**2 + 8*j - 4. Let i = -12375 - -12358. What is i*n(h) - 6*v(h)?\nAnswer: -2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1010*h**2 - 1 + 3 - 14*h**3 - 990*h**2 + h**3 - 3.\nAnswer: -13*h**3 + 20*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -10. Suppose j*t + 42 = 2*t. Let d = -8 + t. Calculate the remainder when 50 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p - 2. Suppose s - 15 = 4*j, -2*j - 15 = -0*s - 3*s. Suppose 1 = h + s. Calculate the remainder when 46 is divided by m(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -1 - (-1 + 1) - -1224. What is q rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87492, -350574, -789256, -1403538?\nAnswer: -2193420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-15))\/(1\/5). Suppose 2*w - g = -w. Let x(p) = 2*p - 2. Let b be x(w). Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13587*f + 476 = 13559*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 113*j**2 - 2782*j + 2779. Determine y(1).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1*-6)\/sqrt(11).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 6*z**2 + 7*z + 5. Let f be t(7). Let j(p) = -6*p - 6. Let m be j(f). Let s be 4\/18 - 172\/m. Solve 4*h = a + 1, -4*a = s*h - 3*a + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22953345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 3*z - 1. Suppose 2*u + 0*o - 2*o = -18, 0 = -3*o + 9. Is n(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 26. Put -0.4, 0.2, h, 1\/3 in increasing order.\nAnswer: h, -0.4, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7966\/295 and 27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002273 to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**4*x + 57*h**4 - 6*h**3*x - h**3 - 2*h**2*x + 2*h**2 - 2*h*x + 7 wrt h?\nAnswer: -96*h*x + 1368*h - 36*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 218*n**2 + 2*n + 2. Give q(-1).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*z**2 - 20 + 253*z - 165*z - 91*z as y*z + u + k*z**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-19 - (-2 + -17))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**4 + 6*y**3 + 3*y**2 - 12*y - 6. Let r(b) = b**3 - b**2 - b - 1. Let f(k) = 6*r(k) - x(k). Factor f(a).\nAnswer: 3*a*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {s: 2, f: 6, k: 7}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1233?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4175 - 2?\nAnswer: 4173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = y - 34, -4*y + 5*o = -134. What is the greatest common divisor of 1984 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*t - 68*t - 1592*t.\nAnswer: -1812*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 - 120. Suppose 2*w = -4*k + 4746, b*w + 5927 = 13*k - 8*k. Is 75 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1024023 and 3575?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 57*n + 180 = 0 for n.\nAnswer: -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52280 divided by 91.\nAnswer: -52280\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -691, 0.06, -5, 4, -2, -4 in increasing order.\nAnswer: -691, -5, -4, -2, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.4 (b) 0.01 (c) 0.3 (d) -0.1 (e) 17 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/36411 and 2\/2835249?\nAnswer: 150268197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081639 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 3*p**3 + p**5 + (4*p**3 - 4*p**3 + p**3)*(-405*p**2 - 67*p**2 + 886*p**2) - 3*p**5 - p**5 + 6*p**5.\nAnswer: 417*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q**2 + 4*q - 4*q - 24*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/21)\/((-153)\/357)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*i = -57*i + 128*i - 2060 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 69538200 to the nearest 100000.\nAnswer: 69500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(84)*1)\/sqrt(6))\/((-1*sqrt(14))\/sqrt(2) - (((sqrt(343)*-2 + sqrt(343) - sqrt(343)) + sqrt(343) - sqrt(343)) + sqrt(343))).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47, -129, -249, -425, -675, -1017, -1469?\n\"Answer: -3*w**3 - w**2 - 58*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/14)\/(54\/(-189)). Solve 5*c - l*u + 3*u + 2 = 0, 0 = -c + 2*u + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*n + 60801 = 0, 32*x - 28*x + 5*n = 243126. List the prime factors of x.\nAnswer: 3, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = 0. Suppose 5*a - 4*x - 31 = k, -a + 18 = 2*a - 3*x. Let g(p) = 2*p - 4. What is the least common multiple of g(7) and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9747 equal to 9746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -18 + 4\/15*j**2 + 16\/15*j - 1\/30*j**4 - 4\/45*j**3. Factor h(p).\nAnswer: -2*(p - 2)*(p + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 237b6?\nAnswer: 237b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -e69 (base 16) to base 8\nAnswer: -7151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 * -0.303.\nAnswer: 0.13332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*o**3 + 29*g**2*o + 6*g**2 + 798*o**3 - 2*o with respect to g.\nAnswer: 8*g*o**3 + 58*g*o + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1035*t - 231*t + 57559 - 15781 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**3\/3 + 13*t**2\/2 + 34*t. Suppose 4*b = -10 - 6. Let k be n(b). Solve -k*a = 5*v - 3*a, -3*v - 3*a = -9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2 (b) -2.846 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4042500 rounded to the nearest ten thousand?\nAnswer: -4040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3293, 13297, 29971, 53315, 83329, 120013?\nAnswer: 163367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**7\/840 + n**6\/160 - n**5\/240 - n**4\/32 + n**3\/12 + 8*n**2 - 10*n. Let o(x) be the first derivative of w(x). Factor o(g).\nAnswer: -(g - 2)*(g - 1)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**4 + 30*q**3 + 40*q**2 - 30*q - 45 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19676 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.30665 take away 2439.50166?\nAnswer: -2440.80831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-3)*(-32)\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 17 = -4*q, -3*q = 6*b + 119 - 110 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491254337?\nAnswer: 3, 41, 1301, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 14 = 104. Find the third derivative of s*x**3 - 18*x**2 + 85 - 85 wrt x.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m)*(-3*m - 2*m + 4*m) + 534*m - 6*m**2 - 534*m + (-73 + 27 + 28)*(0*m**2 - 2*m**2 + 0*m**2).\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 4, 8 in decreasing order.\nAnswer: 8, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 1\/5*f**5 + 0*f**4 + 0*f - f**3 + 0*f**2 + 1. What is the third derivative of i(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7 + 9 + 2*r as c*r + n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = -27*t - 11*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23191.713 months in years?\nAnswer: 1932.64275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.06 rounded to zero dps?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 783317 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 17.3. Let s = 2\/4235 + -8496\/55055. Let k be (-8)\/(-20)*(-5)\/(-3). Which is the second smallest value? (a) s (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -352*t**5*u + 3*t**4 + 56*t**3*u - 11*t**2*u - 6*t**2 - 3*t*u + 11*t - 4*u wrt t?\nAnswer: -21120*t**2*u + 72*t + 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12341 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15410 and 218822.\nAnswer: 1094110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343162783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 4\/3 (b) -0.3 (c) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from focfbfbfbfbfbfcy. What is prob of sequence bcob?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527*k**2*m**2 - 109*k**2*m - 4*k**2 - 213*k*m**2 - 2*k*m - 260*k wrt k?\nAnswer: -1054*m**2 - 218*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/66)\/(5*(-1)\/15)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:58 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205201299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206 + -12. Suppose 201 = 3*a + 5*i - w, a + i = 135. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 503*v + 508*v - 35, -2*z = 5*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9173, -37156, -83929, -149492, -233845, -336988?\nAnswer: -458921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 3*b - 4. What are the prime factors of l(14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clbvcvc. Give prob of sequence bl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2\/7, 28.5 in increasing order.\nAnswer: -10, -2\/7, 28.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 x, and 1 w when four letters picked without replacement from {c: 1, w: 4, n: 3, e: 1, x: 5, h: 1}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31681 divided by -1.\nAnswer: 31681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(-1 + sqrt(245)) + sqrt(245) + sqrt(245) - (4*(1 + sqrt(245)))**2) + 5 + (sqrt(245)*-1)**2 + sqrt(245) + (5 + (sqrt(245)*-2 - sqrt(245)))**2.\nAnswer: -1453 - 427*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k. Let l(t) = -40*t. Suppose -520 = 460*f - 564*f. Give f*l(x) + 24*y(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from hulghullhhugh?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 605\/3 - 199. Calculate the common denominator of 57\/8 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*w**2 + 81*w**2 + w - 53 - 122*w**2 to r*w + t + i*w**2 and give t.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -32766436 < -32766437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/((-3)\/(38880\/324)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.6712 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 9, -29, -69, -111?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -6. Let n = 2 + r. Put -5, -3, n in increasing order.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118005.\nAnswer: 3, 5, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6, d = 4*g - 2 - 4. Let h = 7 - d. Let m = h + -3. Let b(x) = -2*x + 1. Determine b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.5109 times 4?\nAnswer: 1062.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 18 = 8*a. Suppose 48730 = 8*w + a*w. What is w rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -20. Suppose s*a - 5*d = 5059, d = -1 - 4. Is 18 a factor of a\/8 + (-3)\/60*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {e: 4, w: 1, j: 1, n: 5, u: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119244 and 84984?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08082 rounded to 3 dps?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16533*z**3 - 181*z**2 - 8119589*z wrt z?\nAnswer: -99198*z - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 v when three letters picked without replacement from kkqvbq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -37*m + 2. Let w be z(3). Let c = 173 + w. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 11. Let t be j(11). Solve t = 3*f - 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r. Let x be u(3). Suppose -5*s + 4*o = -40, 3*o + 60 - 29 = 4*s. Sort -6, x, -5, s in increasing order.\nAnswer: -6, -5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -5*b**3\/3 + 13*b**2\/2 - 5*b - 1. Let j(i) = -3*i + 4. What is -2*a(c) + 7*j(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-2))\/((-2)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 divided by -2153?\nAnswer: 515\/2153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.071 + -0.054. Let d = 7.91 - 7.427. Let q = p + d. What is the closest to 0 in -0.01, q, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -206*a + 61*a + a**2 - 46*a - 275*a as y*a**2 + h + z*a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73736.7 - -73741.7. Let t be ((-34)\/(-3))\/((-1)\/3). Which is the nearest to 1? (a) f (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524688 is divided by 762319?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1628 = -5*d, -4*g = -3*g + 3*d - 414. Let x be (2404\/8 + -1)\/(2\/(-4)). Let h = g + x. Round h to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 2. Suppose -d*t - 36 = -4*s + 2*t, 3*s - 26 = 2*t. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43860\/16173375*(-50)\/4?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 2 - 2 + 317*b**2.\nAnswer: 317*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 41*q + 1984. Give d(20).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y. Let i(d) = -7335968*d. What is i(f(a))?\nAnswer: 29343872*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**3 - 13*c**2 + 42*c - 1. Let d be m(3). Calculate the common denominator of ((-12)\/(-4) + -1)\/(112\/d) and -81\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 7) to base 16.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1480 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*3*2)\/(sqrt(99)*-3) + -2.\nAnswer: -2 - 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-7301210\nAnswer: -1460242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -866 + 1106. Calculate the highest common divisor of x and 840.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164401 + 237489. What are the prime factors of n?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 - 8 = 0. Let t be ((-21306)\/1672)\/(s\/4). Let l = -435\/19 - t. Find the common denominator of l and 79\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*n + 7, -5*n + 15 = 2*g + 3*g. Suppose -8*z + 3*z = -o + 10, 26 = -g*z - 4*o. Which is bigger: -22\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:01 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 + 3 + -10 - -4 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6 and (-129)\/(-18) + ((-35)\/(-10))\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/234 and 61\/52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -445\/84 - -167\/28. Which is the nearest to r? (a) 23 (b) -2\/15 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019318 rounded to 7 dps?\nAnswer: 0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - sqrt(2880)*1 - -1*(sqrt(45) + -1))**2.\nAnswer: 36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 3}. Give prob of sequence zz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 15*c**5 + 145*c**4 + 385*c**3 - 25*c**2 - 760*c + 240 = 0?\nAnswer: -4, -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 81 - 1 = 5*g - 56, i - 17*g = 84 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 8) + -49 - (76 - 70).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - 5 + 5 + (-2*k + 2*k - k)*(2*k**2 + k**2 - k**2).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u - 45. Let t be i(6). Let p be ((-10)\/8 - 0)\/(t\/(-36)). Solve 13 = -v - 5*k, 0 = v - 0*v + k + p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 57 - (51 + -6) - -6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 320614 + -550?\nAnswer: 320054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/8 + 1478325*w\/4 - 2956647\/8.\nAnswer: -3*(w - 985549)*(w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*l + 101*l + 24 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1699 divide 63369091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8. Does 18 divide (0 + t)*(-38 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 519a (base 16) to base 7\nAnswer: 114622","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -2*c**6\/15 + 2*c**4\/3 - 5*c. Find the third derivative of j(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -19*f - 2. Let i = -6 - -4. Does 12 divide l(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {r: 1, a: 4, v: 10, z: 5}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 (base 10) in base 16?\nAnswer: -9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:44 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 243597867910?\nAnswer: 243597867909.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4058*l**3 - 5224*l wrt l.\nAnswer: -24348*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 413*j\/4 + 421\/2.\nAnswer: -(j + 2)*(4*j - 421)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 2, -17.07189, -4?\nAnswer: -17.07189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007189 to 5 dps.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 5. Let q be (-92)\/(-33) + 1\/(-3). Let j = q - 141\/44. Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86.913 + -87. Let w = 0.413 - b. Sort w, -2, -1, -1\/2.\nAnswer: -2, -1, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4\/5 (b) 38 (c) 4.2 (d) -142\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 11:10 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/3 (b) -6\/11 (c) 35 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 150.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2063, -4134, -6205?\nAnswer: -8276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261 - 229. Let s(v) = -v - 19. Let m be s(-16). Let n be 7 + (-2 + 5)\/m. Solve 3*r + 5*f = h, -3*r + n*r + 8 = 5*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p - 2*b = -8, 0 = 4*b + 4. Let k(g) = g**3 - 4*g**2 + 2*g + 1. Calculate k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43342.1499 rounded to 0 dps?\nAnswer: -43342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + a - 1. Let v be (-32)\/(-24)*(-210)\/(-280). Let y(l) = -5*l + 3*l**2 + 3*l**2 + 5 + 0*l**2 + 3*l. What is v*y(x) + 3*s(x)?\nAnswer: 3*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*v = v + 3, -2*v = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 768474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmcpaaqdqpa. Give prob of sequence pd.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4973 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 38201707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(20)\/sqrt(2))\/sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 - 315*r**4 - 855*r**3 + 2675*r**2 - 1500*r = 0. Calculate r.\nAnswer: -60, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -4 + 12 + -54 + -22\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 3*m**2 + 11*m + 3. Determine r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -29. Is ((-4)\/n)\/(8\/(-7028)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196900 is divided by 70.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + -7 + 14 + -16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -5\/24*w**4 + 0*w**3 + 29*w - 1\/2*w**2 + 0. Let p(c) be the first derivative of g(c). Let i(a) = 3*a. Calculate i(p(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33156141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 5\/2, 3\/4, -2.6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-44))\/((-99)\/11*1 + (-333)\/(-36)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 - ((-177 - -110) + 60)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4 - 2 + 5*m - 6*m. List the prime factors of s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002113 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-39 + (-9 - -5) - -6) - (1 + 4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 86563.3g?\nAnswer: 86563300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 3024.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 251?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-nine halves of a tonne?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -10586400?\nAnswer: -10586404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 473 - 2348. Let k be (2 + 728\/(-12))*c. Round k to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 + 31*z - 43. Let a be h(-17). Suppose -5*d = 25, 0*d = -3*g + 2*d + a. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ddd (base 16) to base 3.\nAnswer: 11212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2306*h**2 + 7069*h**2 + 9126*h**2 - 5*h - 34. Let j be (-1)\/(1 - (-10)\/(-12)). Let g be i(j). What is g rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3037856*k + 3037822*k = -170 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6598 less than 6734164.9?\nAnswer: 6734164.2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557647 is divided by 8146?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g**(1\/5)\/g))*g**(-1)*g**(-2\/11)*g*g**7*((g**(-3\/7)\/g)\/g*g*g*g\/(g*g**(-2\/13)))**(-3\/19) assuming g is positive.\nAnswer: g**(576424\/95095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207908497*z**4 - 563*z - 5039 wrt z?\nAnswer: 2494901964*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*6*35\/(-504)*(-22)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 43*g + 6000 = 0. Let x = g - -272. Sort 2\/9, -0.1, x in decreasing order.\nAnswer: 2\/9, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 4 - b - 2 + 5*b**2.\nAnswer: 5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -o. Let j(i) = i**2 - 5*i + 1. Determine j(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.5*-0.02874.\nAnswer: -0.15807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 40, 63, 104, 169, 264, 395, 568?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 933382979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 6*d + 5. Let i be n(-6). Suppose -4*s - 2*s = -9*s. Solve 0 = -4*l + 2*o, s*l = -3*l + i*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -169d839?\nAnswer: -169d848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/12737 less than or equal to -78\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-22)\/176 - (-37)\/4. Let c = -671\/6 + 112. What is the third biggest value in -8, o, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16966182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82, 202, 318, 430, 538?\n\"Answer: -2*m**2 + 126*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 36?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 7724.\nAnswer: 108136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:59 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1 + (-958)\/318. Let v = g + -463\/1113. Let w = 9 - 14. Which is the nearest to 1\/3? (a) 1\/2 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 11*y = 4234 + 221. Is y a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0, 0.0922, 1, 0.5.\nAnswer: -3\/4, 0, 0.0922, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 19*y**2 + 2. Let n be t(-19). Solve 4*d + 8 = 0, 2*z - n = 3*d - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p + 47*p - 10*p - 364140. Is p a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {j: 2, x: 4, h: 8, e: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 734 + -732. Let r(g) be the second derivative of 1\/12*g**4 - 1\/30*g**6 - 1\/6*g**3 + 1\/20*g**5 + 0 + 0*g**c + 2*g. Solve r(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 15*g - 390. Let p = g + -68. What is the highest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x - 30. Let k be q(-12). Suppose k - 8 = -5*s. Is -16 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164865513*i**4 - 61*i - 22558?\nAnswer: 1978386156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/17003, -1\/365, 2\/13?\nAnswer: 1\/17003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -298*l + 130*l + 129*l + 89*l - l**2 as c*l**2 + g + r*l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3076985 is divided by 52152.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-8)\/4 + 32. Suppose z*i + 117 = 31*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06997 + 0.13003. Let s = 0.059 + 0.211. Let g = s + -1.37. Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5, -2*s = 2*j + 42 + 6. Suppose 5*w - 2218 = -2363. Do w and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -40\/11*g**2 - 4\/11 + 18\/11*g**3 + 26\/11*g = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 33376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/14064312 and -83\/15322096.\nAnswer: 1884617808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d**2 + 2304*d + 16611. Determine s(-7).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 431 - 863\/2. Let k(j) = -j - 2. Let o be k(-6). Suppose 5 - 1 = -o*p. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*t + 23, 5*t + 3*g - 27 = 5*g. Solve -5*h - 10 = o, 3*h - 5*o + t = -27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmnn when four letters picked without replacement from nmmmmmmnmmymmmmnyym?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492 and 29043867.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 4 (c) 1 (d) 0.2 (e) -0.4 (f) 295\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17114480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/52)\/(19728\/14248)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(-12)*l*l\/(l**(-12)\/l))\/(l\/l**(-2)*l\/(l*l*l**(-3\/5))))**44 assuming l is positive.\nAnswer: l**(748\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -535597*-257\nAnswer: 137648429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 925054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 35 = c, 2*c - 5*n + 40 = -2*c + 4*c + 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 14672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 2*k + k)*(-2 - 3 + 6 + 7*k)*(-2*k + 2*k + 4*k) in the form g*k**3 + c*k + l + d*k**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 113119 = 3*q - 337639. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 + q + 1. Let c be v(-1). Let o(z) = -36*z**3 - 6*z**2 - 6*z - 4. Let y be o(-4). Let g(n) = 2228 - y - c*n. Let t(j) = 5*j. What is t(g(p))?\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 8 = 4*q, 10 = -2*g + 6*q - 4*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**2\/f*f)*f*f)**(-2\/65)\/(f\/(f*f*f\/(f\/f**(4\/7)))*f*(f*(f\/f**(2\/9))\/f)\/f*f*f) assuming f is positive.\nAnswer: f**(-5066\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.73139 millennia to decades.\nAnswer: 873.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -5, -0.02, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73771473, -147542950, -221314427, -295085904?\nAnswer: -368857381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - -49. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -229369, -458731, -688093, -917455?\n\"Answer: -229362*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/7*z - 2\/7*z**2.\nAnswer: -2*z*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -555, 3, 5, -4 in increasing order.\nAnswer: -555, -6, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28473, -57846, -87219?\nAnswer: -116592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*k + 45 = -475*k. Solve -2 = -y + k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923890?\nAnswer: 2, 5, 11, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (340\/105 - 3)\/((-33)\/(825\/(-125)))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 - 1578*a**3 + 319794*a**2 - 3357070*a + 5447556 = 0.\nAnswer: 2, 9, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 86.\nAnswer: 17\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Let n be (19\/152)\/(1\/2). Determine q so that 0 - 1\/4*q**2 + 1\/4*q**3 - 1\/4*q**k + 0*q + n*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(5*a**2 - 17*a**2 - 7*a**2)*(2 + 0 + 3)*(-1 - 2 - 1) + (2*a**2 + 2*a**2 - 3*a**2)*(1 + 0 - 3).\nAnswer: 1138*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3 + -4.1. Put o, 1\/6, -4 in descending order.\nAnswer: o, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1781 (base 10) to base 11\nAnswer: -137a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106.4 - -106.6. Let s = 2 + -1. What is the third biggest value in s, 2\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heh when three letters picked without replacement from {c: 7, h: 2, e: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(240)*-3 + sqrt(240)) - sqrt(240) - sqrt(240))*-3)\/((-1*sqrt(480))\/(2*sqrt(160) - sqrt(10) - sqrt(10))).\nAnswer: -216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 971575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 2*u**2 - 2*u - 1. Let o be k(-1). Let z be 2\/(-1 - o) - 3. What is the remainder when 22 is divided by -24*(10\/z - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7 - 1)\/(-8))\/((-1)\/(-250)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.935 + 1.15. Let v = q + 12.785. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 27253 - 27253.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*h + 67, 3*h = 2*r + 57 + 12. Let n be (-138)\/r + 2\/(-7). Let s = 3 - 3.1. What is the nearest to s in 1, n, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 4 + 0*f + 6. Let v be q(-12). Let i be v*(-3)\/1 + 0. Let j(h) = -h**3 + 6*h**2 - h + 5. What is j(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k - 2*y = -6, 5*k - 3*y = 10. What is the third derivative of 5*j**6 + 4*j**k - j**6 + 17 - 17 wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*u - 3*u**2 + 3*u**2 + u**3 - 193*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -283778*y**4 - 2*y**3 + 2201*y**2 - 2*y + 1?\nAnswer: -6810672*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*o - 1324596 + 1324605 = 0, o = -a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7*r + 8. Let x be f(6). Calculate the common denominator of 49\/x - 4\/2 and (20\/(-3) - -6)*(-111)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13721 + -13401. Calculate the lowest common multiple of y and 512.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -1\/6, 4, -2.03, 219?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -70*h - 0*h + 1200 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 42. Calculate the remainder when (-44)\/(-8)*(6 - 0) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-16 - (-16 - -8) - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:06 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 475360605?\nAnswer: -475360606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 3*w**2 - 56*w + 20. Let x be j(9). Suppose 4*s = 374 + 154. Suppose x*m + 0*m - s = 0. What is the highest common divisor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39126\/7 - 5610. Let s = -21 - r. Which is the closest to 1? (a) 6\/5 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.046 and -29.\nAnswer: -29.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 4*v**2 + 5. Let t = -144 + 146. Suppose 5*x = 3*c - 32, t*x + 0*c + 24 = 4*c. Give j(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 953475 + -392.\nAnswer: 953083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200202 (base 4) to base 2.\nAnswer: 100000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3893521 is divided by 185?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40508 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2458.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-776)\/6*72\/(-12). Suppose -j = -4*t - t - 4*v, -5*t = 5*v - 775. Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 1346458*y + 118472816.\nAnswer: 2*(y - 673141)*(y - 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(21080\/(-2975))*(-16)\/(-126).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10846 and 3828.\nAnswer: 65076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 379364 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535596 is divided by 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 = 0, -13*h + 10*h = -3*k - 21. Solve 5 = h*m + o, 3*m = 4*o - 27 + 7 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2036 + 2386. What are the prime factors of d?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 - 5*j**3 + 6*j**2 + 24*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*41*1*(8330\/(-350))\/(-119)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 + 15 = 0. Let l(t) = t**3 + 6*t**2 - t. Let d(u) = -4*u**3 - 25*u**2 + 5*u + 1. Let g(h) = -2*d(h) - 9*l(h). Give g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.58 - 0.08. Let u = 0.09 - -0.02. Let s = u + 4.89. Which is the closest to 1? (a) 0.1 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 4*a - a + 9*a. Suppose -2*s + 6 = s. Let m be n(s). Calculate the highest common factor of m and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**4\/2 + 10*n**3\/3 + 14*n**2 + 340. Factor h(j).\nAnswer: -2*j*(j - 7)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 631 and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**6\/12 + m**5\/2 + 3*m**4\/4 - m**3\/3 - 7*m**2\/4 - 3*m\/2 - 38. Let s(x) = 0. What is x?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 8*r + 52. What is p(-13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - (6 + -27)) + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16*z**2 + 5*z. Let s be t(2). Let q = s + 91. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**2 - 209*i + 409*i - 204*i in the form w*i + x + l*i**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 388 (base 11) to base 6\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.4 and 8.1?\nAnswer: -68.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -230874*x. Let f(r) = -2*r. Give f(z(h)).\nAnswer: 461748*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vao when three letters picked without replacement from hajxvaoh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32123?\nAnswer: 7, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.6 or -2\/1971?\nAnswer: -2\/1971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + 2*l)*(82*l**2 + 33*l**2 + 4*l**2)*(6*l - 7 + 7).\nAnswer: -714*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 107*s - 6300. Calculate f(59).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 73. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1924*x**3 + 61*x**2 - 61*x**2 + 5900*x**3.\nAnswer: 7824*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116974*u**3 - 116978*u**3 + 2*u**2 + 8*u**2 + 2*u**2 - 12*u**2 + 233953*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 12*d + 176 = 0. Suppose -181*p + 182*p = d. Calculate the smallest common multiple of 24 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 99. Let o be p(19). Suppose -5*l - o*r + 192 = -3*r, 112 = 3*l - r. What is the remainder when l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) -0.2 (c) -2\/5 (d) -3 (e) -1 (f) 1 (g) 794.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -1.5. Let s = 0 + k. Let v = -14 + 10. What is the second biggest value in v, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6049785242.4747859 - 6049784535. Let l = p + 0.1762141. Let h = 708 - l. Round h to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2915)\/(-230285) + 383\/948.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 10*t**2 + 2*t - 1. Let x(k) = 2*k**3 + 2*k**2 - 3*k + 3. What is the remainder when i(-9) is divided by x(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -33, 2\/11, -2\/5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -746.\nAnswer: -2\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 3*s - 44884 + 44871, 4*s + 6 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11174, -3\/2, -3\/7, 5, 2\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18650)\/(-18) - (-7)\/(-63). Suppose 6*t + 28 - h = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -201521*c. Let f(p) = -7*p**2. Determine f(n(x)).\nAnswer: -284274994087*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 2*z + 2. Let o(l) = -8*l**2 + 17*l + 17. Suppose -3*d + 33 = 186. Calculate d*h(u) + 6*o(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/481656 and -145\/18816?\nAnswer: 53945472","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*y + 32160 = -81*y. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885709 is divided by 85.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/26388 and 3\/166.\nAnswer: 2190204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-687 + 421 + 478)*(3*o**5 + 4 - 4) - 69 + 6*o**5 + 69.\nAnswer: 642*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 2*h + 2. Let i be o(2). Solve -2*b + i = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0902229 - 0.096757. What is a rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488554278 and 21288?\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w - 7. Let h(u) = -u + 1. Let y(i) = 14*h(i) + 2*v(i). Let p(k) = 9*k**2. What is p(y(c))?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 5*g - 27, 1336 = -4*h + 3*g + 1317 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 - 164 = i + 3*a, 5*i - 39 = 7*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-382)\/573*(-3)\/8*-6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 1565 + 1565 - 45*t + 48*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 243 - 219. Calculate the greatest common divisor of o and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 158121*b**2 + 3*b**3 - 158126*b**2 - 1 - 4*b**3 + 0*b**3 - 2*b**3 + 0*b**3 + (-3*b + 4*b + b)*(b**2 + 0*b**2 - 3*b**2).\nAnswer: -7*b**3 - 5*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18451290?\nAnswer: 2, 3, 5, 11, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1030 + -1028. Which is the nearest to n? (a) 1\/6 (b) -1\/4 (c) -2\/17 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83518527*b**4 - 21507*b - 1598.\nAnswer: -1002222324*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4214\nAnswer: 1\/2107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 18*v**3 + 181*v**2 - 19*v - 286. Let t be g(-10). Suppose 0 = -b + 55 + 26. Solve -t*f = b - 93 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 7, 3, -2 in decreasing order.\nAnswer: 7, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145219 - -1597417\/11. Find h, given that 38\/11*h**4 - z*h**2 - 14\/11*h**5 + 0*h - 16\/11*h**3 + 0 = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.7 - 12.27. Round p to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-8) - -8) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23793, -1, 441.\nAnswer: -23793, -1, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526373 is divided by 1670.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 262*v - 174744\/7.\nAnswer: -2*(v + 108)*(v + 809)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 y when four letters picked without replacement from {x: 7, y: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 6*a**3 - 11*a**2 - 60*a + 100.\nAnswer: (a - 2)**2*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 0, -0.04, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2293277 * 2.\nAnswer: 4586554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 9\/15 - -1. Let h = -45 - -400\/9. Let r = -1\/9 + h. Which is the second smallest value? (a) r (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3. Let r be ((-3)\/(-9))\/((-2)\/(-12)). Let t(n) = n - 7. Suppose 395*m = 392*m - 15. Calculate m*l(j) + r*t(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*2\/(-128)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337381 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468) + -3)**2 + (1*sqrt(637) + 5)**2.\nAnswer: 22*sqrt(13) + 1146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*56\/(-4). Suppose g + y - 1 = 3*u, 0 = -2*u - 2*g + 12. Calculate the remainder when 26 is divided by 8*1 + (4 - u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1790163542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t + 3. Let w be d(4). Suppose r = 5*o - w + 40, 0 = -5*r - o - 5. Is -2 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191 or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**6\/15 + q**5\/40 + 3*q + 1. Let u(c) be the first derivative of x(c). Find j, given that u(j) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -111?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10512 (base 6) to base 2\nAnswer: -10111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -27, -33, -33?\n\"Answer: 3*z**2 - 21*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**2\/2 + 3*x - 14. Let u be g(-1). What is the second derivative of 20*k**2 - 4*k**u - 3*k**2 - 2*k wrt k?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4480740 and 259842?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 158 (c) 118 (d) 1 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.8 - -26. Let a = -2.7 + t. Round a to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3808, 7602, 11382, 15142, 18876, 22578, 26242, 29862?\n\"Answer: -y**3 - y**2 + 3804*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 148\/24)*12\/21\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1397*f**2 - 693*f**2 - 704*f**2 - 14*f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -6 (c) -42 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/108000 and 79\/188640.\nAnswer: 14148000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -682148.79 rounded to the nearest one hundred?\nAnswer: -682100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -11, 0.3, -1.\nAnswer: -14, -11, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 2, o: 6, y: 2}. Give prob of picking 1 u and 1 y.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2835*y - 1637*y + 45524 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -1) + (1 - -4). Suppose 0 = 4*t - 4, f*y + t = 3*t + 172. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 568 by 284.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10792\/1637 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - f + 524 + 880, f + 1398 = 3*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -0.5, 12, 9 in increasing order.\nAnswer: -0.5, 3\/2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufuffffffu. Give prob of picking 3 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.5 (c) 15\/19574\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199845887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:42 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1032\/144 + (9 - ((-126)\/(-7))\/1)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.057 + -9.657. Let a = o + 8. Let i = 2.1 + a. Put 3\/7, 2\/9, i in increasing order.\nAnswer: 2\/9, 3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -8*h - 30. Let 0 + s**3 - 1\/2*s**5 + 0*s**h - 1\/2*s + 0*s**2 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - 21. Let p = 29345 + -29390. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-1 + 4 - -1 - 516) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 75, 65, 51, 33, 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -979 at most -979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z - 4*l - 3, -l = 1. Is 4 a factor of (-47)\/((-4 - -1) + z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 12*f - 2 + 3 - 3 as x*f + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74230, -71324, -68418?\nAnswer: -65512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13940 or -12917?\nAnswer: -13940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/13, 2, -75?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:19 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -8)*(-2 - -1). What is the third derivative of -p*w**3 + 63*w**2 - 1 - 1 + 4 wrt w?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 155 - 3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 478\/21 > 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + -3 - 11\/((-33)\/(-9)). Let s(n) be the second derivative of -6*n - 3\/2*n**z + 1\/6*n**3 + 0. Give s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 249*c - 43 = -237*c, -4*i = 11*c + 64 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -148755744 divided by 5\nAnswer: -148755744\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r - 31 - 29. Let s be 0 - 3\/(-5 + 2). Let a be -2*1 + s - -1. Sort a, r, -1 in descending order.\nAnswer: r, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 267 = 2*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -19, -5, 317 in decreasing order.\nAnswer: 317, 3, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 - 2*b + 0*b**3 - 1 + 0 + 5*b**3 in the form v*b + a*b**2 + d*b**3 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 6. Suppose 0 = 5*r + i - 2*i + 10, 5*r = -5*i - 40. Let m = r + -3. Let f be 1 + 6 + 6\/m. What is g(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 550582, 1101295, 1652006, 2202715?\nAnswer: 2753422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let s be (-420)\/(-42) - (1 - -9). What is the closest to 1 in 5, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + 1 + 5 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2384 divide 1811091363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3724889*d - 3724880*d = 135 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 - 4*u - 4. Let q be i(7). What is the common denominator of -9\/16 and (1 + 5)*q\/(-52)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:22 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5*w + 12 = 0. Let z be 128\/w*(-444)\/(-16). Suppose -k + 0*y + z = -3*y, -3*k + 2*y + 895 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**2\/2 - 657*m\/2 - 17712 = 0.\nAnswer: -123, -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -182179\/33 + 5520. Find the common denominator of l and 16\/6261.\nAnswer: 68871","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.21 - 6.32. Sort 0.1, 2, -1, h in decreasing order.\nAnswer: 2, 0.1, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.40583ug to nanograms.\nAnswer: 44405.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1262 - -1260. Sort w, -12\/13, -2\/27.\nAnswer: w, -12\/13, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 4*w**2 + 6*w - 3. Let s be g(5). Let b = 7 - 4. Suppose -s*p + b = -p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100001101001110001?\nAnswer: -100001101001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by -4.\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 21, 4, -1259, -4, 2, 0.2.\nAnswer: -1259, -4, -4\/3, 0.2, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23805 + 13613 = -728*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h + 9*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**2 - 3*s. Let d(u) = -10746*u + 1. What is d(g(k))?\nAnswer: 118206*k**2 + 32238*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 43 + 52*z + 79 - 20*z**3 - 50 - 8*z**2. Let c(v) = -v**3 + v. Let a(j) = 16*c(j) - i(j). Factor a(d).\nAnswer: 4*(d - 3)*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6594324 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 27444 + 15532. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 6*t - 6. Let y(c) = -c - 1. Calculate j(f) - 6*y(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1971 and 73?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152 by -1.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1026, 1, 5, -6, -3 in decreasing order.\nAnswer: 1026, 5, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219920 + 1299920. Round r to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -38*m - 8. Let l be q(-6). Let c(y) = -5*y**2 - 86*y - 283. Let w be c(-5). What is the highest common factor of l and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96619\/20 - -4832. Calculate the common denominator of y and -89\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:54 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 451, -18\/17, -7\/3?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/21 - (-94)\/14. Solve 13 = -5*f - y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 863473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -124.6 (b) -3\/5 (c) 0.13 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)\/i**(4\/3))**(1\/21) assuming i is positive.\nAnswer: i**(-43\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*y - 18, -9*y + 8*y + 3*q + 6 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134114 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/(-12))*(-4)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 0, 6, 18, 4 in ascending order.\nAnswer: -7, -1, 0, 4, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)*j)**19*j**(-7\/4)*j**(-2))**(35\/3) assuming j is positive.\nAnswer: j**(805\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 0*2\/(-6). Suppose 0 = -j + y*x - 1 + 18, 0 = -j + 5*x + 18. Solve -5*k - h = 3*h + 3, 4*h + j = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -46 (b) 0.2 (c) -1\/2 (d) -0.059 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -224*g + 8970. Let a be m(40). Let c be -1 - -6*(1 + 0). Suppose -j + c + 5 = 2*u, -3*u - 40 = -4*j. What is the greatest common divisor of j and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 349903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*k - 5 = 0, 4*u - 3*k = -4*k + 9. Suppose 3*m - 4*q = -u*q - 277, 0 = -5*m - 3*q - 430. Let c = m + 96. Is 7 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.036 - 0.336. Let u = -0.6 + 1.6. What is the nearest to 2 in s, -1\/6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 10 = -3*c, 10*c + m = 9*c + 6. Let d be 2*(-1 - (-5)\/2). Is d bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 55*a**2 + 56*a**2 + 1 to v + g*a + h*a**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -946.2 - -715.61. Round h to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(2\/5)*u))**(-1\/71)*u**14\/u*u**(2\/53)*u*u assuming u is positive.\nAnswer: u**(283041\/18815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/183)\/((-25)\/1725).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3124, -6255, -9384, -12511?\n\"Answer: b**2 - 3134*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {m: 1, h: 1, x: 1, j: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 5) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 + 1. Let r be i(1). Suppose 4*x = -0*c + 2*c + 18, x - 1 = 0. Let s = r + c. Is -1\/17 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x - 4. Let t(k) = -3383*k**4 - 5*k**2 - 5*k - 84. Let q(z) = -5*o(z) + t(z). Find the second derivative of q(i) wrt i.\nAnswer: -40596*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1709*k**6 + 1258*k**2.\nAnswer: 205080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:55 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, -120, -6, -18 in decreasing order.\nAnswer: 5, -6, -14, -18, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 194*x**2 + 4*x. Let d be (9\/(-6) + 2)*(-3 + 3). Let r be -4 + 4 + ((-1)\/1 - d). Is 19 a factor of m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4 = 2*q. Let o(z) = 5*z**q - z - z**2 - 3*z**2. Let c(v) = -4*v**2 + 3*v - 3. Let h(i) = c(i) + 3*o(i). Find the first derivative of h(b) wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2 + 10091*i + 4840930 = 0.\nAnswer: -9586, -505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, p: 9, m: 6}. What is prob of sequence mtpp?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {b: 3, c: 1, h: 2, f: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 26684373*r - 1 - 26689078*r.\nAnswer: -4705*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*s + 68*s = -85*s + 272*s + 22878 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680 is divided by 50.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.445*-213186\nAnswer: -94867.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 4*h - 2, -4*h - 13 = -5*v + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqs when three letters picked without replacement from sosqo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 135932328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2 - 4468*w + 44880 = 0.\nAnswer: -2244, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-28) - (-42)\/8. Suppose 30 = -w*d - 0*d. What are the prime factors of 138\/8 - d\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/4 - 10305*v\/2 - 106193025\/4 = 0. What is v?\nAnswer: -10305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/11*(-1221)\/1554.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*b*i*n*o**2 + 4*b*i*n*o - 4*b*i + 3*b*n*o + 4*b*n + 31*n*o**2 wrt o.\nAnswer: -212*b*i*n + 62*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2894*v**2 + 409335 - 631*v**5 + 2*v**4 - 409335 wrt v?\nAnswer: -37860*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2 + 245318*p - 245316 = 0.\nAnswer: 1, 122658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 154 + 484.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2448) - (0 + sqrt(2448))))**2 + -3 + ((sqrt(2448) - (2 + sqrt(2448)*-3))*2)**2.\nAnswer: -768*sqrt(17) + 156685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 + (10 - (7 + (-4)\/(-14))). Put f, 5, 423 in decreasing order.\nAnswer: 423, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56731 is divided by 9450?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 554 - 825139?\nAnswer: -824585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*p**2*r*t + 4*p**2*r*y**3 + 9*p**2*t*y**3 - p*r*t*y**3 - 2522*p*r*y**3 wrt p?\nAnswer: 96*r*t + 8*r*y**3 + 18*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - -2) + 0 + (2 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*m = 3763, -256 = k - 5*m - 1167. Calculate the greatest common factor of 33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n + 3559 = -6568 + 7500 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:29 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3112 divided by -1556\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -15.13, -1\/4, 2\/3, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427097.\nAnswer: 11, 41, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 44*y = -51 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/4) + 96*(-2)\/(-36).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 2. Let j be u(1). Let o be 2 + 0 - 5\/3. Factor 0 - 1\/3*a + o*a**j + 0*a**2.\nAnswer: a*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 3*n - 3. Let b(h) = -h**3 - 6*h**2 + 4*h - 14. Let f be b(-7). Let r(o) = 2*o**2 - 7*o + 5. Let g(i) = f*l(i) + 4*r(i). Calculate g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1680*-28)\/((-104)\/(-130))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-15) + 1*60\/(-150).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.97 + -1.27. Let c be -2 - (1 - (-57)\/(-21)). Sort -0.5, c, g in increasing order.\nAnswer: -0.5, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110139 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-18)\/(x**(-4\/5)*x*x**(-6\/13)*x))\/(x**(1\/3)*(x*x**(2\/5)*x)\/x)**(-2\/81) assuming x is positive.\nAnswer: x**(-164131\/31590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402449099?\nAnswer: 13, 31, 998633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -50\/3 (c) -1\/6 (d) -70 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*32\/((-31616)\/78)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdddcczfffpf. What is prob of sequence fc?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.096 - 7.0950383. What is z rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5155 is divided by 160?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 27 = 3*r, 4 = 2*r - 4*y - 8. Sort -3, 5, r, 0 in ascending order.\nAnswer: r, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = 0. Is -1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -43. Suppose -s - 12 = -v. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 6745904*q\/7 + 5688402597152\/7.\nAnswer: 2*(q + 1686476)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)*p**(8\/7))**(-14)\/(p**8*p*p**(1\/16)*(p**(2\/7))**(-34)) assuming p is positive.\nAnswer: p**(-5941\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13776602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 7\/9*f - 4\/3 - 1\/9*f**2 = 0?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 3479*s**3 + 913323*s**2 + 13781845363*s + 12056273246330.\nAnswer: -(s - 1990)*(s + 1823)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33663)\/(-6) - 4 - 1\/(-2). Let s = g - -5932. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - (-6)\/4. Suppose 9 - 5 = j*h. What is the units digit of 1 + 25 - (h + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7110 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/20 - (-4122)\/(-20). Let n = 204 + a. Which is greater: n or -0.202?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4001 (base 6) in base 14?\nAnswer: 45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589*w**3 - 375*w**2.\nAnswer: 3534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + -1.492. Let y = i + -26.008. Let t = y + 25.9999968. What is t rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 3, j: 1, q: 2}. Give prob of sequence qfq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 7. What is u(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5*w)\/((((w**(1\/2)\/w*w*w)\/w)\/w)\/w))**39 assuming w is positive.\nAnswer: w**(585\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 308*y + 624. Calculate k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j - 25. What is s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rdffrer.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/(k\/(k*k\/(k\/k**(1\/5)*k*k))))\/k)\/k*k)\/k*(k*k\/(k\/k**(-4\/7)))\/k)**(-2\/71))**(18\/11) assuming k is positive.\nAnswer: k**(4248\/27335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*s + 28 = 4*b, 12 = 4*b - s. Let j(m) = 11*m**3 + 9*m - 7. Let i(h) = 6*h**3 + 5*h - 4. Calculate b*j(c) - 7*i(c).\nAnswer: 2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-67)\/(-6))\/16. Let o = 1\/32 + g. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - (-4)\/15. Let n = -3486 - -3489. Which is the third smallest value? (a) n (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*r + 178. Let w = r - 34. Let t = 27 + -8. What is the greatest common factor of w and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 + 832*n**4 + 45188*n**3 - 2133128*n**2 + 24953786*n - 87683960 = 0.\nAnswer: -340, -109, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1494, -1495, -1496, -1497, -1498?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-220))\/((21\/26801)\/1). Let f = y - -1\/924. Is -7 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17863106 + 17863090.000019. Let z = 16.29 - 0.29. Let y = t + z. What is y rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10020)\/72)\/(-167)*54.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.146 + -3.246. Does s = -3005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9513.\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 5*n + 2. Let r be g(3). Suppose i - 5*k + 3 = -4, 0 = r*i - 3*k - 9. Let 0*h + 2\/3*h**4 - h**i + 1\/3*h**2 + 0 = 0. What is h?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 477 - 474. Which is the closest to 2\/7? (a) y (b) -16 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30324*j**4*m + 4287*j**3*m + 576*j*m - 14172*j wrt j.\nAnswer: -363888*j**2*m + 25722*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j - 8 = 2*w, -45 = -5*w + 3*j. Let d = 10 - w. Which is the closest to 2\/7? (a) 1\/5 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 29, 0, -3 in decreasing order.\nAnswer: 29, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2.1. Which is the second smallest value? (a) o (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -43.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 124\/24 - (-2)\/(-12). Suppose 5*v = h*o - 35, 0 = -2*o - v + 1 + 1. Suppose -28 + o = -5*t. What is the remainder when 19 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2 + 32\/20). Let y(l) = -1. Let z(o) = -2*o + 5. Let b(c) = p*y(c) + z(c). Let k(r) = -8*r**2. What is b(k(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 11 = 5. Let f be -3 + (-4)\/(j - 0). Is (-1 - 0)*(-129 + f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g - 3*i = -63, -g - 5*i + 35 = 0. Calculate the least common multiple of 140 and g.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -87\/8, -2\/9, 0.35, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - p**2 - 1. Let q be h(1). What is the nearest to 3 in q, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 5655a?\nAnswer: 5655a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -j + 10 - 2, -4*j = -3*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**8\/560 - m**7\/280 + m**6\/120 + m**5\/40 - m**3\/6 + 3*m. Let w(s) be the second derivative of t(s). Factor w(b).\nAnswer: -3*b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 10*n + 62. What is x(10)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5456 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(10\/(-4))\/(-5). Let r = o - 0. Let v be r\/(-3) - (-1)\/3. Which is bigger: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/192)\/(4\/(-12))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 23?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.5, -1, -5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 6*i + 2*i**2 + 0*i**2 - 3. Let q be u(-5). Suppose 0*g - 44 = -2*r - g, -g + 110 = 5*r. What is the highest common divisor of q and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 46.88453 weeks?\nAnswer: 28355763744000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(98)*5)**2) + -2 + sqrt(162) + -3 + -5.\nAnswer: -2460 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-144)\/(-112) - (-4)\/(-14). Let z be ((-3)\/(-12))\/(y\/(-4)). Let q(k) be the second derivative of -k**4\/6 - k**3\/6 - k**2\/2 - 2*k. Calculate q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 (base 16) in base 7?\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 34 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01073 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-3)*(2\/(-7))\/(126\/147).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175951 is divided by 1356?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 529.9641 grams?\nAnswer: 0.5299641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3581034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/7 (b) 3 (c) 1\/6 (d) 0.232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -29*w - 147. Let u be m(-5). Let h be (-2)\/4 + (2 - 1). Which is bigger: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 6*k**4 + 468*k. Let q(n) = -5*n - 2. Give v(q(s)).\nAnswer: 1800*s**2 + 1440*s + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -3*(-3)\/(-18)*-96 and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -6, -3\/2, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1323 - 223*j - 565 - 3*j**2 - 535 + j**2. Let q(c) = 7*c**2 + 668*c + 7268. Let v(a) = -3*q(a) - 8*y(a). Solve v(f) = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/16*(-22)\/(-231) and -71\/30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -570.40669 to the nearest ten.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -699 divided by -590\nAnswer: 699\/590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 8) to base 16\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 298*l**3 + 168*l**3 - 343*l**3 + (-4*l**2 + l**2 + l**2)*(2*l - 4*l + 4*l) - 3*l**3 + 4*l**3 + 0*l**3.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47859, -4, 4 in increasing order.\nAnswer: -4, 4, 47859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/11)\/i)\/i**(8\/13) assuming i is positive.\nAnswer: i**(-192\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21575617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*u + 26 + 3.\nAnswer: -4*u + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/46, 1, 1353, -5 in increasing order.\nAnswer: -5, -15\/46, 1, 1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:51 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/3 + 82644*s + 495868\/3 = 0.\nAnswer: -2, 247934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*(t\/(t\/t**(-26)))\/t)\/t))**(10\/3)\/(t**(-8)\/((t**8*t)\/t)) assuming t is positive.\nAnswer: t**(328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6757, 12947, 18567, 23623, 28121, 32067, 35467?\nAnswer: 38327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 12*g**2 + 21*g - 12. Calculate m(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 i when four letters picked without replacement from liieilil.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 2\/3, -1\/8, 3\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35265215 and 0.1.\nAnswer: 3526521.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.9296mm in centimeters?\nAnswer: 3.29296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 275*g**2 + 1912*g + 20. Let m be x(-7). Solve m*f - 40 = 103*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.64878 micrometers to meters.\nAnswer: 0.00006264878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3091?\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 630.7 + -575. Let m = 55.9 - g. Let z = 0.3 + 0.2. What is the second biggest value in z, -4\/9, m, -0.06?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12370 - -16634. What is the highest common factor of t and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3*s + 1. Let i(n) = 63795*n**2 + 2*n - 2 - 63796*n**2 - 1 + 2 + 2. Determine -4*h(c) + 5*i(c).\nAnswer: -c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 2*o**2 - o. Let k(v) = 4*v**3 - 7*v**2 + 3*v. Let f(l) = -2*k(l) - 7*y(l). Let n be f(-1). Solve 6 = -2*j - n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 10*p + 6 - 3*p**3 - 80*p**2 + 69*p**2. Let z be f(-12). Find the third derivative of -37*i**5 + i**2 + 0*i**2 + z*i**5 wrt i.\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 3*b**2)*(-b**2 + 0*b + 0*b) + (b**3 + b**3 - 4*b**3)*(2*b - 3*b + 0*b + (b - 5*b + 3*b)*(0 - 2 + 0) + 5*b - 15*b - 88*b).\nAnswer: 197*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2478 - 2342.9. What is v rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 + 7*a + 5. Let d be j(-6). Let g(c) = -11*c**2 + 5*c - 4. Let q be g(1). Is (1262\/q)\/(d\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -19. Let n(v) = 452*v + 7. Let w(x) = -73*x - 2. Let s(l) = n(l) + 6*w(l). Let k(y) = 99*y - 36. Determine t*s(h) - 5*k(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/10)\/((-1)\/10). Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -17306485 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7671518851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(180) + 0)**2 + 4.\nAnswer: 60*sqrt(5) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-20))\/(12\/(-40)*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1875 - 3021 = 146*k + 4223 - 2111 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8028, 8039, 8052, 8067, 8084, 8103, 8124?\n\"Answer: r**2 + 8*r + 8019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 11*c**2 - 10*c + 28. Let n be w(-12). Solve 2*l + 4 = f, 2 + n = -f - 3*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 23*t + 6. Let u be v(6). Solve -2*j - 6*n + 3*n + 6 = u, 19 = -5*j + n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311 (base 4) in base 5?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 357\/4 - 89. Let x = -137\/516 + 2\/129. Which is the closest to p? (a) x (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 33222?\nAnswer: -33214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -55, -100, -165, -256, -379?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-2*z + 3*z + 0*z)*(2*z + 13 - 13)*(0 - 1 - 1 + 1 - 2 + 3 + (-2 + 0 + 1)*(0 + 0 + 1)) as i + c*z + y*z**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 17 + 9 = b, -13 = 2*b - 3*d. Suppose 2*s = -y - 3*y + 6, -10 = -3*y + 4*s. Let n(j) = 0*j + 2 - y*j - 1. Determine n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*i**4 + 346066*i**3 - i**2 - 18386230*i.\nAnswer: 600*i + 2076396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 (base 14) in base 10?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -434458, -434088, -433718?\nAnswer: -433348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1900) + -3)*3.\nAnswer: -60*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t**(-4))**(-19\/4) assuming t is positive.\nAnswer: t**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z**2 - 30*z + 29. Let u(g) = 35*g**2 - 120*g + 115. Let m(o) = 15*f(o) - 4*u(o). Factor m(h).\nAnswer: -5*(h - 5)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 18.936. Let p = -0.063973 + k. What is p rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 41*w**3 - 2*w**2 + 26*w - 25. Let p be n(1). Solve 2*x = b + 4 - 17, -4*b + 5*x = -p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 10) in base 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*u - 950, 4*z - u - 1354 = 553. Suppose 538 = -3*s - 4*q - 1242, 2972 = -5*s - 4*q. Let d = z - s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -12, -1, 18.3.\nAnswer: -12, -1, 0.4, 18.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -59255 divided by -11851\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(756)*-3)\/((sqrt(3)*-2 - sqrt(3))*-1).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174739951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3617527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1187, -2876, -5559, -9734, -15899, -24552, -36191, -51314?\n\"Answer: -83*z**3 + z**2 - 1111*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -110000110?\nAnswer: -110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - 1) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 12*u - 14. Let j(s) = -2*s**2 + 15*s + 14. Calculate 5*d(t) + 4*j(t).\nAnswer: 2*t**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10360070935 + 10360071126 - 2*w + 4*w.\nAnswer: 2*w + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 52. Suppose -5*c + 2578 = 2*n, 2*c + s - 12 = 0. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/63*(40\/14 - 4).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38.8*227.34.\nAnswer: 8820.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n + 1156 = 30*n - 42*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -4 + 7 - 18) + (-15 - (-69 + 55))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172 by 2.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1969292601 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2827 + -547. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 24 - 30. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.8. Let m be ((-9)\/15)\/(3\/2). Which is the biggest value? (a) m (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 108, 222, 320, 396, 444?\n\"Answer: -v**3 - 2*v**2 + 127*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2 - 6*c - 2. Let h = 65 + -56. Let w(v) = 13*v. What is h*q(x) + 4*w(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s + 36 = 24*s. Let c = 26 - 14. Calculate the highest common factor of s and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 7. Let b = 20 - 22. Let x(d) = -d - 6. What is b*l(c) - 3*x(c)?\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 0*u**4 + u + 6*u**4 + (11*u**2 - 10*u**2 - 25*u**2)*(u - u - 6*u**2) - 2*u**4 + u - u in the form g*u**3 + x*u**2 + y + b*u + q*u**4 and give q.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s**2 + s**3)*(-3*s - 40 + 42 - s).\nAnswer: -4*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*z**3 - 57*z**2 + 37*z**2 - 47*z**3 + 6*z**3 + 20*z**2.\nAnswer: -84*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 2189312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (303\/(-303))\/(1\/14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -174 in decreasing order.\nAnswer: 2, -4, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 2 = -2*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151231 - 253044 = -14544*v + 526541 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142 by 32178.\nAnswer: 71\/16089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 50 = 4*d. Suppose f + d = -3*o, o - 1 + 3 = -f. Let l be f\/1 - (8 + -10). Solve l*r + 5 = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Find the first derivative of 6*l**2 - 3*l**2 + 1 + t wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*d - 94*d - 101*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/24 and 101\/1356?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -3*m**5\/20 - 5*m**4\/12 - 4*m**3\/3 - 100*m. Let z(q) = 2*q**3 + 4*q**2 + 7*q. Let p = -4 - -8. Give p*g(y) + 5*z(y).\nAnswer: -2*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*n - 596554 - 1017568. What are the prime factors of n?\nAnswer: 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.364927 to 2 dps.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (2 - (4 - (1 - -2))). Put i, -1, -1\/2 in increasing order.\nAnswer: i, -1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -48. Suppose -5*j = b - y, -2*b - 2*j + 4*j - 12 = 0. Let d(p) = -4*p - 2. What is d(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 417?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**2 - 5*f + 1. Let g(o) = 6*o**2 + 4*o - 1. Let c(u) = -6*g(u) - 5*w(u). Let p(m) = 4*m**2 - 11*m. Let y(a) = -3*c(a) - p(a). What is y(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x - 1. Let d(g) be the second derivative of -5*g**4\/6 - g**3\/2 + g**2\/2 - 21*g - 127. What is d(a) + 3*w(a)?\nAnswer: -13*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6012 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57078 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 48. Suppose -a*k + 2*z - 7*z = -2031, -2*z = 2*k - 1018. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -218519?\nAnswer: 18\/218519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5568 - 168.5968. Let p = 168 + l. Let z be 3\/9 + 4 + -3. Which is the fourth smallest value? (a) -0.4 (b) z (c) p (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1991 (base 10) to base 15.\nAnswer: 8cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -7. Let i = -5014 - -5014. Let q be 0 - -1*2*5. What is the third biggest value in n, i, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23007*z + 728101 - 728101 to the form t*z + y and give t.\nAnswer: 23007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/18 and -2 - (-3 + 13\/10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 10 = 3*s - 13, 19 = 3*s - 2*y. Suppose 2*j - 13 = -s. Suppose 3*d + 3*c + c - 3571 = 0, 2*c = j*d - 4754. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 65 - -b5bd1?\nAnswer: b5c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z**2 + 5 - 8 + 1)*(-2 + 2*z - 1 - 1) to the form p*z + t*z**2 + g*z**3 + j and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 65*p**2 - 56*p + 44. Calculate a(64).\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12399*f**2 + 5*f. Suppose -4*q - 28 = -8. Let p be x(q). What is p rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6923*o + 173166 - 221641 + 553854 = 0 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*m**2 + 62*m**2 - 179*m**2 - 14 + 59*m**2.\nAnswer: -m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**5\/60 + 7*m**4\/24 + 7*m**3\/3 - 7. Let v(r) be the third derivative of b(r). What is v(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 3*m**3 - 2*m**2)*(-3*m**2 + 2*m**2 - 4*m**2).\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -21357590 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 246? (a) -1\/2 (b) -28 (c) -58 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/133 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 1902*j**2 + 87*j**2 + 11*j**3 + 641*j**2.\nAnswer: 11*j**3 + 2630*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/5 + 4496*d**2 - 179936*d\/5 + 359936\/5 = 0. Calculate d.\nAnswer: -11248, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 4*g**2 - 3*g - 3. Calculate the remainder when (25\/(-3))\/((-2)\/6) is divided by d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12501\/54 - 2\/4?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (0 - (1 - 1)). Suppose -3*c - 3 = o, 0*t - t - 1 = 4*c. Solve h + 4 + 4 = 2*a, -t*h + 4*a = 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 196, 281, 358, 427?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204497502*p**2 + 3*p + 22137833 wrt p.\nAnswer: 408995004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3146)*-4*-6)\/(-3*((-1*sqrt(2) - sqrt(2))*-4 + (sqrt(2) + (sqrt(200)*-1 - sqrt(200)) + sqrt(2) + sqrt(2) - sqrt(2)))).\nAnswer: -88*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -901*n + 3. Let q(l) = 3*l. Calculate g(q(a)).\nAnswer: -2703*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2a (base 12) to base 15.\nAnswer: ed1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*i - 4, -11*f - 2*i + 2 = -12*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = 79798 + 74077. What are the prime factors of j?\nAnswer: 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1750 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*j + 4*j. Let u be 6\/j - (-7)\/2. Solve -3*o - f = f - 10, 5*o - u*f = -15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 51. Suppose -4*q + 2*q + 24 = w. Let u = -31 - -151. What is the highest common divisor of q and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.16, 5\/6, -21?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -28.3. What is the closest to -0.1 in 3, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 + 17.86. Let n = j - 12. Let t = n - 5. Which is the third smallest value? (a) -3 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 2.803475.\nAnswer: -2.403475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/60 + 7*p**2\/2 + 5*p. Let k(g) be the first derivative of q(g). Let j(h) = 10*h. Calculate j(k(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110589\/88 or 1256?\nAnswer: 110589\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 + p - 1. Let i be n(-2). Let y = -6 - -8. Which is the nearest to i? (a) 1\/4 (b) y (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**7\/360 + p**6\/720 - p**4\/4 + p. Let c(d) be the third derivative of u(d). What is the second derivative of c(f) wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (27403005\/(-23))\/(-49) + (2 - (0 + -1)) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, q: 4, n: 10}. What is prob of picking 1 r and 2 n?\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.8 and -17.68.\nAnswer: 120.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7094*p + 4323 - 8648 + 4325 to s + r*p and give r.\nAnswer: 7094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*v + 18 + 1, 0 = 2*d + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 311979 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51 (b) -2\/13 (c) -4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11572*a**3 - 3466 with respect to a.\nAnswer: 34716*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*g - 13. Let i be (-14)\/7 + 1*-11. Is g not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 755728242*q**2 + 1385771*q - 140?\nAnswer: 1511456484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2)*(u*u\/(u\/(u*(u*u*u**(1\/5)*u)\/u))*u*u)\/u*u)\/(u**(4\/7)*u*u**1*u)*u**(1\/3)\/u**2*u\/u**(-2)*(u\/u**(1\/5))\/u assuming u is positive.\nAnswer: u**(142\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1270967*x*z - 544792*z with respect to x.\nAnswer: 1270967*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1144\/(-78))\/(22*(-10)\/(-495))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 - -3. Let i = 0.056 - 0.014. Let a = -0.042 + i. Sort a, 3\/7, x in decreasing order.\nAnswer: 3\/7, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (73968\/(-20385))\/(2\/(-3)). Let b = -13\/1812 - s. What is the common denominator of -107\/18 and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 531615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 309 - 165. Calculate the greatest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxujdddddjjddudux. Give prob of sequence ddxx.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Let u(h) = h**2 - 36*h + 134. Let a be u(4). Suppose -16 = -a*i + 2. Solve -5*s + j*x = 20, 2*s - i*x + 8 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-405)\/(-27)*4\/(-48)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 603*w**4 + 60*w**3 + 274629*w?\nAnswer: 7236*w**2 + 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20453588 divided by -3.\nAnswer: -20453588\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 449 (b) 0 (c) 0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -112034\/3411 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 51*b. Let j = -1772 + 2773. Suppose 2*d = 3*q + j, 0 = -5*d - q - 107 + 2618. Let z(f) = -f**2 + 502 - d. Give z(w(v)).\nAnswer: -2601*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40684 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13252294337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 6 - 102*b + b**3 - 8*b**2 + 92*b - 2*b**2. Let m be t(-9). Let x(n) = -26*n + 3. Let p be x(m). Is p not equal to -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -341 and -0.25986.\nAnswer: 88.61226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqgdzebqdqdgdgb. Give prob of sequence gqz.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, b: 2, w: 5}. Give prob of picking 3 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1892 - 8862 + 1182 - 7150 - 14829)*(-l**3 + 0*l**3 - l**3) to b + v*l + f*l**3 + i*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/2 - y**4 + 3*y**3 + 4*y**2 - 5*y\/2 - 3 = 0 for y.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f + f**2 - 4*f + (3*f - 5*f + 0*f)*(-4 + 4 - 2*f) - 2 + 2 + f**2 + (-1 + 1 - f)*(-7*f - 12*f + 7*f) - 3*f**2 + 0*f**2 + 6*f**2.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3)*(2*q - 4*q + 0*q)*((5 - 2 - 1)*(3 - 5 + 1) - 32 + 69 - 71) as x*q + y and give x.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let c(b) = -b**3 + 5 - 2*b - 6*b**x + 0*b + 4*b + 4*b. Is 5 a factor of c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(-f + 2*f - 3*f) + 18*f + 1 - 1 + (4 - 5 + 2)*(5 + 5*f - 5) - 12 + 12 - 3*f in the form h*f + n and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.3. Let t(g) = -g**2 + 6*g - 14. Let n be t(6). Let d be (-6 + 7)*(-1 - n). Which is the second biggest value? (a) 4 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2519672 - 645*c + 2519672.\nAnswer: -645*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4 - -0.6. Let y = -2.9 + b. Sort 1, -1, y.\nAnswer: -1, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1204 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63003 + bb?\nAnswer: -62f48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6.9 times -86846\nAnswer: -599237.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219382699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3018*g - 3012*g + 18. Which is the smallest value? (a) 2\/9 (b) -75 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = -28. Suppose -4*q - t = -3*p, 1 = p - 0*p - q. Let p*d + 1\/2*d**2 + 0 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z**3 + 6*z**2 + 4*z - 8. Let f be i(-2). What is the highest common divisor of f and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/((y\/(y*y*y\/((((y\/(y*y**(9\/4)\/y))\/y)\/y*y)\/y)))\/y))\/y))\/((y*y*y*y*y**(-3\/7)*y)\/y))\/(y**(-4)*y*y\/y**(1\/3)) assuming y is positive.\nAnswer: y**(-545\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 250817101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 + 8) - -13 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**2 + 7. Let l(v) = -13*v**2 - 21. Let q(c) = 2*c**2 + 3. Let z(k) = -2*l(k) - 15*q(k). Determine 2*b(p) + 5*z(p).\nAnswer: -4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + w**2 - w - 6648590. Let v be i(0). Let k = -6302864473\/948 - v. Let x = k - 108\/79. Calculate the common denominator of x and -69\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/667 (b) -5 (c) 2\/541 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457 + 457 + 17*j**2 - 40*j**2.\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13530 and 906840?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.26079 seconds to microseconds.\nAnswer: 54260790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/16*-1 + 0. Let u = -6 + 5.6. Sort 4\/3, u, v in descending order.\nAnswer: 4\/3, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 (base 11) in base 6?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10518.\nAnswer: 2, 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/121, 5, -3 in descending order.\nAnswer: 5, 3, -2\/121, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (5 - (1 + 13 + -7 + 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100719*v + 100722*v - 180*v**3 + 100717*v - 402877*v + 100719*v.\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 17394692\nAnswer: 17394618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5785 and 445?\nAnswer: 5785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1454 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 10*k - 9. Let l be v(-7). Let f = 9 - l. Let y(o) = o**2 + o + 3. Calculate y(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f - 4941 + 951 = 215*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 99*p + 193. What are the prime factors of g(10)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256031, 512072, 768123, 1024190, 1280279?\nAnswer: 1536396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*z**4 + z - 1912 with respect to z.\nAnswer: 392*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1266525423 + 50230.\nAnswer: -1266475193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.38636ml?\nAnswer: 0.04138636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, -6, -1121, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -26, -3, -2 in descending order.\nAnswer: 7, 0, -2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1612?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542, -2748, -8734, -20390, -39606, -68272, -108278, -161514?\nAnswer: -229870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 + 15*l - 8. Let j be x(7). Suppose -k + 4 = -t, 2*t + 0*k + 2*k = -4. Sort j, t, -5 in decreasing order.\nAnswer: j, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 17*x - 4. Let p(i) = -4*i**2 + 66*i - 17. What is -2*p(s) + 9*r(s)?\nAnswer: -s**2 + 21*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:33 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 90.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 33*h**2 + 34*h - 63. Calculate the remainder when 27 is divided by j(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-247) + (-76)\/247.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1506\/8 + 35\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1535964683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 7*p**2 - 17*p + 9. Let q be r(-9). Suppose q = -0*t - 5*t + 5*d + 160, t - 3*d - 42 = 0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*l**4 - 2*l - 3 + 4 - l**3 + 2 to the form t*l**4 + j*l**2 + m*l**3 + z + w*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1474.3 - 1474. Which is smaller: a or 24\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 91 = -3*x. Suppose 0*q - 10 = 5*q, 2*q + 6 = p. What is the remainder when x is divided by 0\/(p + 3) + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/622419 and 83\/4.\nAnswer: 2489676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let l = 1520.7 - 1643. Let w = -122 - l. What is the second smallest value in u, w, 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 k when two letters picked without replacement from {b: 3, m: 1, k: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 4 + 0 - 6)*(34*j - 70*j + 7*j)*((-1 + 1 - 2)*(0 + 0 + 2) + 0 + 1 + 1).\nAnswer: 58*j**2 - 116*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/28 - ((-20960)\/28)\/5. Let i = m - 1499\/10. Let t = 71183\/134 + -1061\/2. Calculate the common denominator of t and i.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*s + s + 2, 4 = v. Suppose -2*r + 1483 = 3*n, 5*r - 140 - 2335 = -s*n. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -913066\/5*b - 36036\/5*b**3 - 2\/5*b**5 - 189728*b**2 + 0 - 464\/5*b**4.\nAnswer: -2*b*(b + 1)*(b + 77)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/12254795 - 116135190872\/110293155. Suppose -5*o = -7*n + 4*n + 5250, 0 = -4*o + 4*n - 4192. Let v = x - o. Is v < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11*j**2 + j - 6. Let u(w) = -w**2 - 4. Determine -f(g) + 3*u(g).\nAnswer: -14*g**2 - g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e46 - 4?\nAnswer: e42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbffbrnbn. What is prob of picking 2 b, 1 n, and 1 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 13*q - 1197. Let w = 124 - 88. Calculate the greatest common factor of q and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -719, -1973, -3745, -6011, -8747?\n\"Answer: 4*r**3 - 283*r**2 - 433*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62698 and 8366.\nAnswer: 5580122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 65. Calculate the remainder when 195 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1104)\/22080)\/(2*(-2)\/220)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1070814669 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - b + b - 3*b)*(-2*b**2 + 59*b**2 + 34*b**2).\nAnswer: -273*b**3 - 91*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2554 + 1753 + 4298 = 61*a - 5913. Let x(b) = b**2 - b - 4. Calculate the remainder when a is divided by x(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:16 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 + 21295*f**3 + 63790*f**2 - 212920*f - 510720 = 0. What is f?\nAnswer: -4256, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -2\/409?\nAnswer: -2\/409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ucvuuunndcvudun.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/175 - 219\/700. What is the fourth smallest value in -5\/9, h, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2940 divided by 735?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cppp. What is prob of sequence ppc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-8))\/(4\/(-1696)). Let b = w + 2686\/5. Let c = -98\/5 + b. What is the common denominator of c and -38\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3760 divided by -8.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 13*i**2 - 4*i + 3. Let o be b(-11). Suppose 3*f - 2*f - 4*s - o = 0, 4*f - 1105 = -s. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/315)\/(2\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -33, 8, -6.\nAnswer: -33, -6, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.5 - -9. What is the smallest value in -4, -1, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - -15. Let x = -16 + f. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i - 4. Let p be h(-3). Solve -p*n - 9 = -1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(21 + (-320)\/15) + 156\/(-152).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g + 6*g + 2*g + 2 + (-2 + 2 - 1)*(1 + g - 1).\nAnswer: 16*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 5959631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*n - 8, -5*w + 2 = -3*n - 3*w. Let o(c) = 3*c - 3. List the prime factors of o(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -5, 1, -110, -69, 3 in increasing order.\nAnswer: -110, -69, -5, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 40) + 193 + -168?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:18 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/5 + (-21039)\/35115. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 10*a**2 + 7*a - 1. Let w be c(-7). Suppose 7*u - 78 = w. Suppose -u*s + 124 = -21*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1 = -5*b + 15, 5*k + 2*b - 25 = 0. Let f = -16 - -11. Let g be 7*(0 + f\/(-5)). Solve -g*a + 12 = -k*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - 2*o**2 + 27*o + 51. Let g(z) = 5*z**2 + z + 2. Calculate the remainder when g(3) is divided by v(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**5\/120 - 7*s**4\/12 - 49*s**3\/3 - 2*s**2 - 38. Factor i(k).\nAnswer: -(k + 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 7*h**2 - 10*h + 2. Let g be r(-5). Solve 0 = -u - 0 + g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 70 = -15*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/13)\/s*s*s*s*s**(-7\/4)*s assuming s is positive.\nAnswer: s**(57\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 734078118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 7*v + 3*v**3 + 1 + 0*v**3 + 3*v**2 to the form x + y*v**3 + q*v**2 + g*v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 3 = -3*u. Let z be (u\/(-18))\/(1\/(-10740)). Round z to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -1 - 8\/(-4). Suppose g - l + 0*l = 15, r*g = 2*l + 41. Suppose -g*t + 15*t = 0. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 260?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228969 and 34608.\nAnswer: 25644528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/13*l**2 + 10\/13*l - 2\/13*l**4 + 4\/13 - 2\/13*l**3.\nAnswer: -2*(l - 2)*(l + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/(-11))\/((-1736)\/(-9920)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2406013 by -2.\nAnswer: -2406013\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 4, e: 8}. Give prob of picking 2 w and 2 e.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3642 (base 9) to base 7\nAnswer: 10622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 - 3*r - 10. Let p be x(5). Which is the fourth smallest value? (a) -0.4 (b) p (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47268 by -468.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48872 and 40.\nAnswer: 244360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r**2 + 6*r - 24. Let i(d) = 9*d**2 - 7*d + 28. Let q(k) = -7*b(k) - 6*i(k). Let y(c) = -851*c. What is y(q(t))?\nAnswer: -1702*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11316.9985829 + 11317. What is o rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71983363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = 5*i, -3*i + 19 = 3*x - 4*i. Let b(k) = k - 2. Calculate b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/76439? (a) -0.8 (b) 4 (c) 5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 9*m - 3*m - 11 + 16*m. Let c be u(-8). Solve 3*o - 3*q = c, 5*o - 1 = -2*q + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-154574)\/(-1281))\/(3\/((-162)\/(-4))) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3297 divided by -2\nAnswer: 3297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -585*p**2 + 2406*p - 253. Determine d(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y**3 + 3*y**2 + 3*y - 3. Let i(x) = 50*x**3 - 8*x**2 - 8*x + 8. Let b(d) = d**2 - 31*d + 218. Let o be b(21). Determine o*l(w) + 3*i(w).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 9*z**2 - 17*z - 14. Let o be q(-6). Let l = o + 24. Solve 3*f + 6 = -3*d - 12, l*d = -16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151281756 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 69. Suppose 3*s + p + 0 = 2*m, 14 = -5*s + m. Let q(b) = -b**3 - b**2 - b - 5. Is 11 a factor of q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4876000 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -0*h + 2*h + 2, -h = 2*o + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 2. Calculate b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -10\/3*y**4 - 10\/3 + 5\/3*y**5 + 20\/3*y**2 - 10\/3*y**3 + 5\/3*y = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 - 13432*j\/9 - 4169870\/3.\nAnswer: 2*(j - 7545)*(j + 829)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2)\/(4588\/(-24087)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-4) + -1)*2. Let l be (-2 + 3)\/c*5. Which is bigger: l or 1\/38?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424709.\nAnswer: 424709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, 558, 1110, 1640, 2148?\n\"Answer: -11*g**2 + 607*g - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3441 and -43\/5676503?\nAnswer: 17029509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -25*b + 86804. What are the prime factors of b?\nAnswer: 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (345\/300)\/23*-2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 6146, 20855, 49546, 96893?\nAnswer: 167570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(24) + (sqrt(52)\/sqrt(4) - sqrt(13))*3 + 2)**2 - (-1 + (sqrt(13) + 0)**2 - sqrt(117)\/(sqrt(36)\/sqrt(4))).\nAnswer: -19\/4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1649 + -1649. Which is the nearest to 544? (a) -0.3 (b) -1\/2 (c) 2\/9 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 313 - -8?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24112166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, o: 12}. What is prob of picking 1 b and 2 o?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + a - a)*(0*a + 0*a - 8*a)*(1 - 8 + 0).\nAnswer: -112*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + y = -1, -l = y - 3 - 4. Suppose -l*m + 7*m = 245. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4*w = -61, -w - 31 = -4*p - 0*w. Sort 3, p, 54 in ascending order.\nAnswer: 3, p, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 4.281.\nAnswer: -0.8562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and -13.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2582546 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(-4)*a**(-2\/9)\/(a**(-1)*a*a*a))**2 assuming a is positive.\nAnswer: a**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 - 101976*x**2 - 713758*x - 1223544 = 0.\nAnswer: -50981, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-4)\/(-2)))\/(8\/(-32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let v = 3500 + -3496. Which is the closest to 1.3? (a) q (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**2 - 3 - 2 - 8 - 6 - d**2.\nAnswer: -23*d**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -v + 30. Sort -5, 5, v, 1 in ascending order.\nAnswer: -5, v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = w + 83, 137*k = -2*w - 302*k + 443*k + 302 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16*m**(1\/35)*((m\/m**(3\/14))\/m*m*m)\/m**(-26))**(-39) assuming m is positive.\nAnswer: m**(-119613\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 24*z + 4382. What is n(-254)?\nAnswer: -1714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 7*j**2 + 6*j - 10. Let l be p(-8). Let h = 14 - l. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 68. Calculate the remainder when 62 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.6549.\nAnswer: 0.06549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 26 = 4*s, 0 = -s - 5*n - 35 + 1 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*n + 77. Let b be n\/(-8)*(-8)\/6. Let d(u) = -197*u - 11. Is d(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312870 <= 312862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*z + 2 = -7*z, i = z - 1. Put i, 1, -2, -1 in descending order.\nAnswer: i, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1157 - -1976. What are the prime factors of p?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Suppose -3*z - 18 = -2*y - y, 0 = 4*z + 12. Let s(q) = -q + q - y*q**2. Determine s(b(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -4*u + 0 - 1\/48*u**4 + 0*u**2 + 1\/24*u**3. Factor l(p).\nAnswer: -p*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - f - 1283, 0 = -0*s + s + 5*f + 271. Let k = s - -254. Let o(r) = -r**3 - 3*r**2 - 2*r - 3. Give o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/5, -1\/5, 15\/17, -0.3 in ascending order.\nAnswer: -3\/5, -0.3, -1\/5, 15\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:28 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 1962*f + 45655.\nAnswer: -(f - 23)*(f + 1985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1797624249 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 155?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 + 31*x**3 - 2 + 17 + 3*x**2 + 2*x**4 wrt x?\nAnswer: 48*x + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*a - 45. Let p be 1\/(12\/(-9))*a. Calculate the greatest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.0961nm in meters?\nAnswer: 0.0000004480961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-806)\/62 - (-33429 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -5\/3*u**3 - 121*u - 5\/12*u**4 + 15\/2*u**2 + 0. Factor a(q).\nAnswer: -5*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j + 4. Let l(x) = -10*x - 3. Let m(v) = 4*l(v) + 3*y(v). Let q(o) = 8*o. What is m(q(f))?\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -4, 2, 3, 4, -5.\nAnswer: -5, -4, 2, 3, 4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004809795 to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122801455 or -122801454?\nAnswer: -122801454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -578509, -579271, -580033, -580795, -581557, -582319?\n\"Answer: -762*f - 577747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, 4, 1, 3, 6 in increasing order.\nAnswer: 1, 2, 3, 4, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -10 + 4)*-6. Let o be 8\/14 - (-527)\/119. Suppose 0*h - 8 = -o*h - 4*j, 2*j = -3*h + 6. Solve 8*f + a = h*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.85 + 0.15. Let o = 5 - x. What is the third smallest value in 0.4, o, -1\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 + 0.53. Let f(p) = p**2 - 8*p + 5. Let i be f(7). Which is the nearest to i? (a) 2 (b) x (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzdoleooo. What is prob of sequence zd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -41*f**3 + 15*f**2 + 160*f + 7. What is the units digit of l(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2391644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 4 - m**3 + 57448*m + 6 - 1.\nAnswer: -m**3 - m**2 + 57448*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-20))\/((-332)\/168 - -2)*(-111100)\/(-16665).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2319290700 take away 23266?\nAnswer: -2319313966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000101010000010011 (base 2) to base 10.\nAnswer: 1070099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f + 3068 + 3096 - 642 = 292*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2122212201120 (base 3) to base 10\nAnswer: -1414788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)*w*w)**(-21)*(w*(w**(-1\/4)*w)\/w*w*w)\/(w*w**2) assuming w is positive.\nAnswer: w**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssb when three letters picked without replacement from mwrsrrwswrmwbmwwsw.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/180 - b**4\/24 + 3*b**3\/2 - 4*b**2. Let d(p) be the first derivative of x(p). Determine d(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.21, 0, -0.154, -8\/19, 3, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139.1 + 139. Let m be (5 + -3)*34\/4. Suppose 3*s - m = h, -5*s + 2*h = -h - 27. What is the closest to 1\/4 in s, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k - 12*k - 7 + k with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 4*a**2 - a - 4. Let k be i(-4). Let r = 161 - 159. Determine w, given that 1\/3*w**5 + 1\/3*w**3 + k*w + 0*w**r + 0 - 2\/3*w**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135881 - -228823. Let d = n - 92986.981. Let k = 45 + d. Round k to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1)*s)\/s)\/s**(-5))\/((s**(-4\/7)\/s)\/s**(-2)) assuming s is positive.\nAnswer: s**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3000*p**3 - 2993*p**3 + 5984*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -34?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -4\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(12) + (sqrt(3) - (sqrt(300) - sqrt(300)*-1)).\nAnswer: -17*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15849*m**2 + 15899*m**2 - 2 - 30868*m**2 in the form b*m + u*m**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 5*i - 2. Does 4 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(78)*2 + sqrt(78))*5)\/((1*sqrt(864) - sqrt(864) - sqrt(864)) + sqrt(6) - sqrt(54)\/(sqrt(18)\/sqrt(2))).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9723, -19065, -28407, -37749, -47091, -56433?\n\"Answer: -9342*u - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -834093, -834082, -834057, -834012, -833941, -833838, -833697, -833512?\n\"Answer: z**3 + z**2 + z - 834096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-17) - 416\/(-68). Suppose 0 = 3*x - 3 - 0. Let z(f) = 5*f**2 + 2*f - 1. Let b be z(x). What is the highest common divisor of v and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46619678 at most -46619675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 2. Let k be p(-2). Let b = 10 + 1. Suppose f - k*f = 3*s - b, 4*s - 8 = 0. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*t + 30 = 0, -2 = 4*b - 3*t - 54. Let j(f) = 4*f**3 + 0*f**2 + 9 + 0*f**2 + 3*f - b. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)*d**(-8)*(d**(2\/9))**(-23\/4))\/(d**(-5)\/(d\/(d**(2\/9)\/d)))**35 assuming d is positive.\nAnswer: d**(20551\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4832 and 62967.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -0.1995975319101.\nAnswer: 2.8004024680899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -29. What is the least common multiple of m and (280\/5)\/(-14)*-8?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 199 + 2100 + 82.\nAnswer: 11*n + 1983","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957959 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 567191394 to the power of 1\/2, to the nearest integer?\nAnswer: 23816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*j + 5*m, -j - 2*m - 4 = 2*m. Let t = 0 + -13. Let n = t + 20. Calculate the remainder when n is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 114*n - 1561. Calculate u(-18).\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + d + 4*d - d - 4*d**2. Let m(n) = 9*n**2 - 7*n. Determine -3*m(v) - 7*y(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1620)\/(-378) - (-2)\/(-7). Calculate the least common multiple of 18 and (-345)\/(-20) - (-3)\/c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*a + 5*k + 7, 24 = -3*a + 4*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 33, -3, 2.\nAnswer: -3, 2, 23, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 130 = 5*d - 355 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b + 223. Let u(j) = 6*j - 112. Determine -5*u(n) - 2*z(n).\nAnswer: -2*n + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from febbbnlnbfblfbe. What is prob of picking 1 b, 1 l, and 1 n?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a - 5. Let u(y) be the third derivative of -y**4\/3 - 2*y**3\/3 + 75*y**2. Let t = 3 - -2. Give t*i(v) - 6*u(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-6))\/4 - 572\/(-66). Suppose -w*n - 139 - 21 = 0. Find the common denominator of -71\/16 and (244\/(-80) - -3)\/(24\/n).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3 - 148*z**2 - 17865*z - 85500 = 0.\nAnswer: -75, -5, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 5*g. Suppose 18 = l + 4*f, -g*f - 159 = -5*l + f. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 104 = 2*h - 5*o, 4*h - o - 230 = 0. What is the remainder when h is divided by (5 - 14\/3)\/(4\/348)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 10 - 2. Suppose 4*n - k = 0, 2*u - 36 - 34 = 2*n. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -6110.43\nAnswer: 12220.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1359 - -2206. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1155607 times -0.2\nAnswer: -231121.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18879063 + 26.901\nAnswer: -18879036.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 + 16*p**2 + 14*p = 0. What is p?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*z**2 - 3*z + 20*z**3 - 160*z**2 + 76*z**2 + 33 - 42 as p*z + q + a*z**3 + o*z**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-1 + 211)*5\/(-15)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1302 - -4136. Suppose 5*a - 218 = 3*n + u, -1828 = -3*a + 5*n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 13*i - 10. Let n be q(14). Suppose 2*o = z + 3, 3*z = -3*o + 23 + n. Suppose 0 = j - 4*g - 93, 2*j + 294 = z*j + 3*g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 253899061, 253899062, 253899063?\n\"Answer: o + 253899060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 + 0 = 0. Suppose 6*q - z*q = -10. Solve -5*u + q = -20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2928 by 6.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*q = 10, -3*l + 3 + 6 = -3*q. Let z be (-4)\/(2*l\/(-12)). Calculate the greatest common divisor of 96 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 52\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z*z**(-7\/4))\/z))*z**(2\/3))\/(z**(2\/41)\/z)**(-19) assuming z is positive.\nAnswer: z**(-9425\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -64064240.\nAnswer: 19219272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1*(-16)\/64)\/((-8)\/208).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = -8*o. Suppose -o*d + 7 = 27. Let j = 106 + d. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.611 rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382267 is divided by 6551.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 3*q - 39. What is the least common multiple of 2\/(-2) + q + 0\/67 and 11?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w = 1428 - 60. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 14.1, 180\/613?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -302, -1\/162, 4, -8 in descending order.\nAnswer: 4, -1\/162, -8, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945217?\nAnswer: 79, 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -205828786 - 67.408\nAnswer: -205828853.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 50467\nAnswer: -25233.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000079168 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 1\/4 (c) -14 (d) -1\/3 (e) -5195 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 992482?\nAnswer: -992481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 2, l: 4, q: 1, r: 1}. Give prob of sequence mr.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 10 = -4*b, -3*b = -2113*n + 2109*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1348 (c) -2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*k**3*p**4 + 274*k**3*p + 8*k**2*p**2 + 185*k*p**4 wrt p.\nAnswer: -384*k**3*p + 4440*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 3\/115 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1258 - -1272. Put a, -4, 2 in increasing order.\nAnswer: -4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 2. Suppose -k + 4 + 8 = 0. Let n = 18 - k. Calculate the remainder when f(4) is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1520.1552 - -1520. Round o to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3170714360 to the nearest one hundred thousand.\nAnswer: -3170700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1111?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 d when three letters picked without replacement from dgrgkagkgkgadgd.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1881541244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 841 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 8*k = 26, -8282 + 8285 = 3*r - 3*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -25*r**2 - 22*r - 6. Let y(z) = -21*z**2 - 17*z - 8. Let i(s) = -5*d(s) + 6*y(s). What is i(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 154?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 2*f + 2. Let w(q) = -q. Let l(n) = -s(n) - 6*w(n). Let y be l(-5). Suppose 0 = -y*d - d. Let i(z) = z**2 - z - 6. Give i(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 129 + 70. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 20*q - 94. Is c(-28) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4)*1*-1).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -30. Suppose -3*b + 3720 = 5*o, -v*b = o - 834 + 83. What are the prime factors of o?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:50 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3845212 divided by 549316\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18525915 divided by -24867\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 6*m = 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 85.9. Let h = -0.05 - 8.95. Let v = h + i. What is the closest to v in 4, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*n + 84*n - 232 - 75 - 638 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5 = -3*j. Let u be 1 - j - -10666*3. What is u rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 11:07 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -314, -471?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**0))**(-40)*h\/h**23*h**37\/h assuming h is positive.\nAnswer: h**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*d - d. Suppose 0 = -4*j + 8 + d. Put 0.3, j, 1 in ascending order.\nAnswer: 0.3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/32)\/(1\/(-4)). Let d = 24 + -16. Let m = d - 7.95. Sort m, 1, l.\nAnswer: m, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/4 + 188612\/(-74208).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-170)*(0\/2)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 41, 34, 27, 20, 13?\n\"Answer: -7*u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19489 - 7234. Let f = 147161\/12 - g. Find the common denominator of f and ((-164)\/2952)\/(4\/438).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9261078, -18522158, -27783238?\nAnswer: -37044318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1\/9, -45, 2\/199?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -7 + 25. Let y = 10 - z. Suppose 2*v = y*v - 78. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, n: 4, l: 1, w: 7, u: 2}. What is prob of picking 1 l and 3 w?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -z. Is (-3 + 4 - -5)*11\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**1*u*u\/(u\/(u\/u**2))*(u*u*u**(-2)\/u*u)**11 assuming u is positive.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*x**3 - 361994*x**2 - x - 556801366.\nAnswer: 267*x**2 - 723988*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8170 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.724 rounded to 1 dp?\nAnswer: 578.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 1517318 + 505739 + 505792 + 505787.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (11 - 3\/3). Does 18 divide u*(-4 + (-75)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 615, -40, 5 in decreasing order.\nAnswer: 615, 5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y + 8. Let a be w(1). Which is bigger: a or 4\/37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:36 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07149 - -0.06149. Which is the closest to r? (a) -4 (b) 1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 102. Solve 5*l = 2*c - 14 + 4, 4*l = -2*c + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -385 - 266. What is the greatest common divisor of 31 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**(1\/6))\/n)**1)**(2\/47) assuming n is positive.\nAnswer: n**(5\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517 - 50*b**2 + 513 + 516 + 513 - 2059.\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*y - 15*y - 35. Suppose -3*q - 144 = -y*q. Suppose t - 2 = 2. What is the greatest common divisor of t and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 3\/4 (c) -2 (d) 3888 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000365 to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*t**2 - 8*t**2 - 7*t**2 + (-3*t - 4*t + 5*t)*(-3*t + 7*t - 2*t))*(3 - 3 - t) to d + s*t**3 + k*t + h*t**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -39. Suppose -7*y = -q*y + 6. Let g be 1\/y + 833\/51. Calculate the greatest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58500 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, o: 7, i: 1, m: 2, l: 1, r: 2}. Give prob of sequence ol.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/(4\/(-8)). Suppose -s*x - 1 = -11. What is the units digit of (-3 + x)*(-12 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(17) - (2 + sqrt(17))) + (sqrt(425)*-1 - sqrt(425)) - (sqrt(153)\/(2*sqrt(9)) - (2*sqrt(153))\/sqrt(9)))**2.\nAnswer: -136*sqrt(17) + 5169\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 + -59. Let f = g + -83.03. Let v = f + -0.97. What is the biggest value in 2\/45, -3, v?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 9. Let z = 27 - 14. Let r be l(z). Solve -r*u = -34 + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 196*n**2 + 1154*n - 2659. Give h(190).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3\/3 - 2*l**2\/3 + 2*l\/3 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**3 - 11*s**2 + 5*s - 5. Let o(j) = -13*j**3 + 12*j**2 - 5*j + 5. Let c(g) = -6*n(g) - 5*o(g). Let k = 2 + 3. What is c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -9. Let f be (-2 + 5)\/(6\/256). Calculate the greatest common factor of x and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -117.2. Let a = c - 31.1. Round a to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10*4\/6)\/(24\/4104*36)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54775139 is divided by 5622?\nAnswer: 5615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5057379 + 5689550992\/1125. Let l = -11\/375 - t. What is the common denominator of l and -94\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118072 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16607844 divided by 12.\nAnswer: 1383987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2342*j - 10. Let o be r(5). What is o rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/43 in 3, -114, 3\/7, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + -95. Let n(c) = c + 1. Let o be n(y). Suppose -4*r + o*r = 4*s - 468, -463 = -4*s + r. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 11*b**2 + b. Suppose -4*x - 6 = j, -4*j - 3*x + x = -46. Suppose g + 26 = -2*c, -4*g + 3 + j = -3*c. Calculate w(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 - 7*i**3\/3 - i**2\/2 - 4*i + 34. What is d(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 2*p)*(-3*p + 2*p + 3*p + (2 - 3 + 2)*(p + 1 - 1) + 5*p + 4 - 4 + 2*p + 0*p + 0*p + (6 - 3 - 2)*(p + p + 0*p) + 0*p + 2*p + p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let k(r) = -r**2 - 1. Let p(a) = -8*a**2 + a - 5. Let y(j) = m*p(j) - 5*k(j). What is the second derivative of y(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -163*a**8\/168 - 13*a**5\/10 - 25*a**2. What is the third derivative of d(u) wrt u?\nAnswer: -19560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 1 - (1 - -1). Let z(m) = -g + 3 + 7*m - 4*m. Let r(k) = 34*k + 17. Let f(t) = -8*t - 4. Let y(i) = 26*f(i) + 6*r(i). Calculate -2*y(o) - 3*z(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1330*c - 3808 = -1323*c. Which is greater: -543 or c?\nAnswer: -543","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -3)*(-2)\/4. Suppose 2*b = -b + 9. Suppose b*h - 48 = 2*r + r, h - 2*r - 19 = a. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 5) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(28\/(-8) - -3). Let a(l) = 29*l - 6. Let g be a(w). Find the common denominator of -21\/20 and (g\/(-6))\/(16\/(-6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8204.142 litres to millilitres.\nAnswer: 8204142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2\/(-7))\/(5*(-60)\/(-1400))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*v**3 + 3*j**3*v**2 - 3*j**3 + 62*j**2*v - 13*j**2 + 4472*v**3 + 4*v wrt v.\nAnswer: -12*j**3*v + 6*j**3 + 26832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 36 - 28. Factor 1\/4*g + 0 - 1\/4*g**h.\nAnswer: -g*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-1 - 1 - 2 - 4*p) to the form z + j*p and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 7*y**3 + 3 + y**3.\nAnswer: -7*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*v = 3 - 0, -2*v = 5*r - 8. Suppose -68 = -r*g + k, 2*k + 12 = -k. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94276 at most -94275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvt when three letters picked without replacement from xpaqtxvv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, -68, 0.1, -3, 208 in ascending order.\nAnswer: -68, -3, -2\/5, 0.1, 2, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.011 and -3.8?\nAnswer: 3.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3873937 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 2595 = 11*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 782452, -2, -4 in increasing order.\nAnswer: -4, -2, 2, 782452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s. Suppose -5*w - 3*n = -2 + 1, 4 = -2*w + n. Let h be j(w). Let v be 54\/10 + (-8)\/20. Solve -v = 4*q - h*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 at least as big as 77732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(304)*3 + (sqrt(304) + 1*sqrt(304) + 1 + (sqrt(304) - (1 + sqrt(304))) + -3)**2.\nAnswer: -84*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132920360.\nAnswer: 2, 5, 41, 81049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7899.318 litres?\nAnswer: 7899318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - a**3 - 9 + 5*a + 2*a**2 + 8*a**4 - 7 + 0 - 1 to i*a**4 + o*a**2 + f*a**3 + q + x*a and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (-1 + 4 - 2)*(-3 - 1 + 5) - 2 - 1 + 4 - 3 + 3 + 2 - 5 + 4 + 2 + (6 - 7 - 8)*(-3 - 8 + 1))*(b - 13*b + 4*b).\nAnswer: -776*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-19))**(-6\/25)*(z\/(z**(-2\/23)*z))**(26\/3) assuming z is positive.\nAnswer: z**(-1396\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*k - 6*k**2 - 67*k + 137*k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 227834587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25465 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 5:22 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233*i**3 + 19 - 12*i**4 + 233*i**3 wrt i.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75687 is divided by 1718.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 14) + (-20 - -6 - -19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 1 x when three letters picked without replacement from xggugxux.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6004, 12001, 17994, 23983, 29968?\n\"Answer: -2*y**2 + 6003*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 6. Let a = 34 - 40. Let y(v) = -2*v - 5. What is a*x(d) + 7*y(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/143*((-146)\/(-657) + 1305\/(-1134))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32370977, 32370945, 32370915, 32370887?\nAnswer: 32370861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.019 in -1\/2, 1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3479 + -3464. Solve 30 = -3*p - 3*d, s*d - 12*d = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66630.48 months in years?\nAnswer: 5552.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - o + 5, -2 = -3*c + 3*o - 17. Suppose c = 4*q - 131 + 39. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 29, 43, 73, 125, 205, 319?\n\"Answer: s**3 - s**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 135*g + 399*g - g**3 - 140*g - 157*g to the form c*g**2 + l*g + q + m*g**3 and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253731 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/44 and -41\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22393105*c**2*d**3*g + 59580*c**2*d**2*g**3 + 5*c**2*d**2*g - c*d**2*g + c*g**2 - 2*d**4*g**3 + 6*d*g - g**3 wrt d?\nAnswer: 134358630*c**2*g - 48*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/(-30) + (-4)\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -961*u**5\/60 + u**4\/6 + 5*u**3\/6 + u**2. Let p = 9 + -4. Let b be k(p). What is b rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 118158*u = 118157*u - 46, 2*u = -4*j + 68 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12589293 is divided by 3421?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -195, -328, -575, -936, -1411, -2000, -2703?\n\"Answer: -57*s**2 + 38*s - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6 - (-182)\/4. Let c = n - 18. Suppose -25 = -r + c. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4767091.5 to the nearest 10000.\nAnswer: 4770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 31. Solve v = 6*w - 2*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:29 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126497765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -48801*c**3 - 6*c**2 - 4*c + 5. Suppose -36 - 4 = -5*y + 4*f, -5 = f. Let u = y + -9. Let w be o(u). Round w to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjvbvjvvwbv. What is prob of sequence jwv?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * 18.7909.\nAnswer: 450.9816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - (-12)\/(-4))*1685. Let x = s + -50163\/5. Let b = -77 + x. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**(-27) assuming c is positive.\nAnswer: c**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*d = -56, z - 4*d + 0 = -26. Let g = -3362.2 - -3362. What is the closest to z in g, -4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 981*d**3 + 2*d**2 - 981*d - 2 = 0.\nAnswer: -1, -2\/981, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/5 + 8302284*y**2 + 83022834*y\/5 + 41511416\/5 = 0?\nAnswer: -20755708, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -256332 + 8?\nAnswer: -256323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.78 + 80.78. Let i = 35 - d. Let f = -45.00000046 - i. What is f rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*l**2*m**2 + 8088*j*l**2*m*z - 7*j*m*z + 74*l**2*z - 472167*l*m**2*z wrt l.\nAnswer: 2*j*m**2 + 16176*j*m*z + 148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 - (3 + 8\/(-2)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -37*f**3 - 2*f**2 - 2*f - 1. Let i be k(-1). What is the greatest common factor of i and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -69, -80, -73, -42, 19?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*a = 16, 12*a - 11*a = -x + 1. What is the closest to -1\/2 in x, -0.93, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2648*g - 7185. Give l(-2).\nAnswer: -1889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 0.01 (c) 0.1 (d) 2\/11 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000087687691 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a7880 - 1?\nAnswer: -1a7881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6*3\/72)\/(10\/8)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872, 1746, 2620, 3494, 4368?\nAnswer: 5242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*o - 18, -2*x = 4*o + o - 40. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-80)\/(-325))\/(-8))\/(7\/35).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 8124*l**2.\nAnswer: -3*l**2*(l - 2708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6589025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -81\/5 + 3\/5*i**3 - 27\/5*i**2 + 81\/5*i = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18*i + 5. Let b(m) be the first derivative of 27*m**2\/2 - 7*m + 243. Give 5*b(a) + 7*w(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 17*w**2 - 76*w + 391. Let f be j(19). Round f to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 - 16*c**3 + 98*c**2 + 376*c + 264 = 0. What is c?\nAnswer: -11, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -639e - -1?\nAnswer: -639d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*t - 52 = 0, 3*g - 106 = -2*g - 3*t. Let f = g + -20. Sort f, -1, -3 in ascending order.\nAnswer: -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/493 + 1491\/986. What is the nearest to 0.1 in -0.3, j, 5, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -7025.\nAnswer: -7026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/(-42))\/(9\/(441\/(-35)))*15\/(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1253 - 14?\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17812 - 11351. Suppose -10*k = -23*k + a. What are the prime factors of k?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from txxtfhtfxffttfh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/59 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10853a663 - -5?\nAnswer: -10853a659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -96 + 21. Suppose -13*s + t*s = 28. Let c(y) = 6*y**2 - 5*y + 1. Let n be c(5). Calculate the highest common divisor of s and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1523 (base 6) to base 14\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/852 (b) -1 (c) -23 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -477069*u**4 - 43*u**3 + 94359*u - 347?\nAnswer: -5724828*u**2 - 258*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 1)*108\/30. Let i(z) = 32*z - 19. Is i(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -383240*v**2 - 902490?\nAnswer: -766480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-5))\/(1\/(-1)). Suppose -2*c - 3*u = -75, -u = c - 36 - z. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2 - 2437*d + 151872 = 0.\nAnswer: 64, 2373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350712264 to the nearest integer?\nAnswer: 18727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 379 = -t, -25*k = -21*k + 4*t - 364. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u**5 - 26684*u**4\/3 + 124780*u**3 + 319140*u**2 + 518488*u\/3 - 12512 = 0.\nAnswer: -4\/3, -1, 2\/31, 23, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*w + 1202, 0 = -7*w + 2*w - 5. Suppose -4*r = -h + b, 3*h + 3*r - 911 = 7*r. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 321532511*r**3 - 2927*r - 24401?\nAnswer: 1929195066*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + 19. Let z be g(-10). Let i = z - -55. Suppose 2 = -5*t - r + 138, 105 = i*t - 3*r. Calculate the least common multiple of t and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 14 = -7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -798ee7?\nAnswer: 798ee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -267, 4\/7, 2\/5 in descending order.\nAnswer: 7, 3, 4\/7, 2\/5, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-10)*(-6)\/(-8)*(-40)\/(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23009*c**2 - 307*c**3 - 25 + 18 + 2*c + 23007*c**2 in the form r + x*c**3 + q*c**2 + y*c and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 224535\/458 and 491 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -755\/2, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 633762 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -7*o + 42. Let b be 10\/(-3)*o\/(-10). Suppose -x - 2*n + 189 = 0, 5*n = b*n + 6. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206253*k**6 + 6*k**2 - 5062 wrt k?\nAnswer: 24750360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**3 - 50*f**2 + 149*f - 1073. Determine k(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 62118, 124231, 186334, 248427, 310510?\n\"Answer: -5*c**2 + 62128*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*w + 5, 4*w + 5 = -g + 4*g. Let c(b) = -6*b - 1. Let y be c(g). Let s(u) = u + 1. Let i be s(y). Solve -2 = -2*o - i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(14) - sqrt(56)\/sqrt(4)))\/(sqrt(96)\/sqrt(3)) - ((sqrt(84)*-2*-3)\/sqrt(12) + sqrt(42)\/(sqrt(216)*-1))**2.\nAnswer: -8575\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -139, -14.\nAnswer: -139, -35, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27999981 to 3 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287\/12 - -17435\/732. What is the second smallest value in 0.03, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0, 9011, 4.\nAnswer: -14, 0, 4, 9011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/(-7)) + -2. Let v(f) = f**3 + 24*f**2 + 41*f + 276. Let t be v(-23). Let o = y + t. What is o rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.1 + 34. Let m = 0.7 - -12.3. Let l = 13.2 - m. Is l at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*i + 4*o + 77, 112 = -4*i + 2*o. What is the common denominator of i and -95\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 35*h - 1894. Let n be c(54). Let i(l) = -3*l**3 + 4*l**2 + 4. Let m(p) = -2*p**3 + 3*p**2 + 3. What is n*m(q) + 3*i(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*a - 183749, 712*j - 146989 = -4*a + 713*j. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 - 5929\/4 + 69\/2*z**2 - 1\/4*z**4 + 154*z = 0.\nAnswer: -11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*o**4 - 2 + 197*o**4 + 1284*o**2 - 45*o**4 + 2 wrt o?\nAnswer: 5232*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189087247 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13436823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 0, -2*v - 9 = 4*p - 5*v. Let l = p - -10. Suppose -3*w - 11 = -l*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*k**2 + 31*k**2 - 67*k + 1 - 58*k**2 + 2*k**3 + (0*k + 0*k - 2*k)*(-5*k**2 + 6*k**2 + 3*k**2).\nAnswer: -6*k**3 - 2*k**2 - 67*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 49. Suppose w = -s + 3*w + j, -3*w = 9. What is the remainder when 32 is divided by s*(1 + (2 - 2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78030.278 - 77958. Let g = y - 72. What is g rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1*14\/((-616)\/(-33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 - f**4 - 2*f**4 + (9*f + 4*f - 5*f)*(f**3 + 0*f**3 + 0*f**3).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 20*c**2 - 239*c - 3. Let a(r) = -17*r**2 + 239*r + 3. Determine 6*a(u) + 5*w(u).\nAnswer: -2*u**2 + 239*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 4. Let r be y(-3). Let p = -173382\/5 - -4403980\/127. Let k = -1\/127 + p. Is r smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + i = 6*i + 119, -4*q + 156 = -4*i. Let p be 4 + (-102)\/24 - ((-45)\/4 + -2). Solve p = -5*y + q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168090 - -168089.99931949. What is d rounded to 5 decimal places?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2036 = 177*j + 265 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide -11*(-42)\/1232 + (-8314)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1153, 2457, 3759, 5059, 6357?\n\"Answer: -j**2 + 1307*j - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 463.\nAnswer: -4\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 - 30764*l**2\/5 + 236605924*l\/5.\nAnswer: l*(l - 15382)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w + 1. Let i be o(2). Suppose -i*b + 0*b = 0. Are 3\/5 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 809?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-8))\/(6\/8). Suppose -y + r*w + 264008 = 0, y + 36851 = w + 300855. Suppose -u - 3*u - y = 0. What is u rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = -162. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i + 2. Let q be l(-2). Let b(s) = s + 15. Let m be b(-8). Suppose -q*g + 1 = -m. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 406*d**5\/5 - d**4\/2 - d**3\/3 + 2444*d + 1653. Find the third derivative of z(b) wrt b.\nAnswer: 9744*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -82*x + 367. List the prime factors of t(-8).\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6952 and 1573?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.026 + -13.2. Let j = -0.326 + n. What is the second biggest value in j, -0.1, -3, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*k - 607 + 627, 5*k - 4*n + 34 = 0. Let h(d) be the second derivative of -d**4\/6 - d**3\/6 - d**2\/2 - 2*d. Let f be h(-1). Is f greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/2307400 and 34\/10325615.\nAnswer: 413024600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 81c - -252b?\nAnswer: 304a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -81*s**2 + 425*s - 1710. Calculate u(4).\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(11)*2 - sqrt(11)) + 3 + 1*(sqrt(7) + (sqrt(14)\/sqrt(2)*-6 - sqrt(7))))**2.\nAnswer: -30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2. Let k(h) = -1. Let g(s) = -4 - 1050*s + 1042*s + 13. Let w(a) = g(a) + 6*k(a). Give w(u(v)).\nAnswer: -8*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -8, 212.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17666 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233008496?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 5*v + 288 = 0. Suppose 2*w + 2*d - v = 4*d, 0 = 3*d + 15. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**10\/7560 - u**9\/756 - u**8\/420 + 5*u**4\/24 - 12*u**2. Let g(p) be the second derivative of h(p). Factor g(j).\nAnswer: -4*j**3*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6822523794 rounded to 4 decimal places?\nAnswer: -0.6823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 609909, 610107, 610305, 610503, 610701, 610899?\nAnswer: 611097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.982890944 rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 2*c**4 + 2*c**4 + (c**4 + 4*c**4 - 4*c**4)*(0 - 4 + 2) + 4*c**4 + 0*c**4 - 3*c**4 + (2*c**3 - 5*c**3 + 4*c**3)*(-7103 + 7103 - 946*c).\nAnswer: -944*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.079304 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54c960 (base 15) in base 8?\nAnswer: 17326406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 12*t**2 + t - 11. Let i be o(12). Suppose 2 = -j, 0 = -3*n + 3*j + 2*j + 34. Suppose 0 = -4*v + 2*v + n. Solve -v = p + i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2912.712kg?\nAnswer: 2.912712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*h, -h + 5*h - 30 = -2*p. Suppose p*b + 6 - 1 = 0, -v + 7 = -4*b. What is the second derivative of 4*d - d**3 + 2*d**3 + v*d - 6*d wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:47 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/((-6)\/(-3)) - 3. Suppose 4*o - 2*o - 36 = 3*y, 5*o + 3*y - b = 0. Calculate the greatest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3047 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 425, 964, 1721?\nAnswer: 2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/143 + 964\/22. Let v be (-1)\/(l\/8) + (-41)\/(-44). Which is the second biggest value? (a) 0.5 (b) 1 (c) v (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1369034\/51 or 26843?\nAnswer: 1369034\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -394*g**4*p**2 + 3214*g**4*p + 2845052*p**2 wrt g.\nAnswer: -1576*g**3*p**2 + 12856*g**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1073*u**2 + 14 + 1074*u**2 - 2158*u**2)*(15*u - 62*u - 51*u).\nAnswer: 1078*u**3 - 1372*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 182609966.7 milliseconds in weeks?\nAnswer: 0.30193446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6384*h**3*j**3 + 2*j**3 + 6405 wrt h?\nAnswer: 19152*h**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 16*i**2 - 8. Let j(f) = 2*f**2 + 1. Let v(s) = -8*j(s) - l(s). Let b(a) = a. Give v(b(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6 - 2*t**3 - 11*t**3 + 11*t**2 - 1. Let u(c) = -4*c**3 - 3*c**3 - 4 + 6*c**2 + 0*c**3. What is 6*s(l) - 11*u(l)?\nAnswer: -l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16163045 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9707.\nAnswer: 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27377.89 millennia?\nAnswer: 328534680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 15, 6*z - 2*z - 3*f = 207. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5553 = -6*s + 645. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -33*w + 392. Determine n(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, k: 2, s: 4, m: 4}. What is prob of picking 2 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/9)*d*d**(-13))\/(d**(-1\/6)\/(d*d**13)))**9)**(-43) assuming d is positive.\nAnswer: d**(-1591\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2 + 3 + (-32 - 63). Let f = 1\/2617 - 2651032\/28787. Let h = f - k. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 60 = -2*w, 0 = -4*w + 5*w + r + 33. Let q be (-6)\/(-4)*w\/(-12). Suppose 942 = 4*n + 3*u - u, -u = q*n - 941. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402116 - -206049. Let t = 196067.1699784 + g. Let f = 0.17 - t. Round f to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8470 is divided by 1137?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 - 222 + 3990*t - 221 - 3992*t + 667.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 5*d - 7. Let m = -83 - -86. Determine h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01813 - 1.58187. Sort -2, q, -8 in decreasing order.\nAnswer: q, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356749925017*m**2 - 356749925017*m**2 + 18*m**3 - 8*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-2)\/(-3)). Suppose w*r + 5*f = 5, 0*r - 3*f - 18 = -3*r. Let u be 4\/(-10) - (-2)\/r. Which is smaller: u or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {m: 2, i: 2, q: 5, s: 1, l: 8}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58\/5 - -1324\/115. Let f = 0.082 - -0.118. Which is the nearest to -1\/2? (a) f (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307356302.\nAnswer: 2, 11, 71, 196771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2200 by 88.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6) + (-1)\/(-1). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14390, -29336, -44842, -60908?\nAnswer: -77534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**2 - h - 1\/20*h**5 + 1\/6*h**4 + 0 + 5\/6*h**3. Determine s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 2*k + 1. Let u be h(-1). Let a(t) = 2*t - 1. Let l be a(1). What is the least common multiple of 12 and 4\/l*u\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/34 - (-36)\/(-17). Let c(w) = 2*w - 6. Let i(u) = -2*u + 5. What is x*c(v) - 3*i(v)?\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587107 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 35. Let d = q + -33. Suppose -3*m - d = 3*z - 46, -4*z = 5*m - 59. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = -88103 + 88287 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(121)*-1 - sqrt(121))*4 + 3*((sqrt(121) - (sqrt(121)*-1 + sqrt(121))) + sqrt(121) + sqrt(121))))\/(2*-2*sqrt(11) - 4*sqrt(11)*1).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02936516 to 5 dps.\nAnswer: 0.02937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 4*p**3 + 2*p**3)*(-6*p - 4*p**2 + 2 - 4 + 8*p).\nAnswer: 4*p**5 - 2*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - -8. Let x = l - 8. Solve 6*j - j - x = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21)*21*(-8)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(475) + 0 + sqrt(19) + -2)**2*3.\nAnswer: 288*sqrt(19) + 32844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 20. Let d(u) = u + g*u - 4*u. Let m(a) = a**2. What is d(m(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 1. What is the remainder when 25 is divided by 1\/((-2)\/v)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 60 = -2*h. Suppose 3*x + 1 = 2*m + h, 4*x + 2*m - 28 = 0. Calculate the least common multiple of 10 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 = -16. Suppose r = -2*r + 4*q + 33, 4*r - z = 4*q. What is the remainder when 27 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 649, 957, 1251, 1531, 1797?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.832? (a) 1.1 (b) 2\/43 (c) 0 (d) 0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1776\/(-16)*4\/6*-2. Let c = h + -80. Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let c(o) = -36*o. Let r(j) be the third derivative of -575*j**4\/12 - j**2 - 11*j. Let z(d) = -161*c(d) + 5*r(d). Determine z(f(h)).\nAnswer: 46*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 18*w - 9*w**2 + 3\/2*w**3.\nAnswer: 3*(w - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185 divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -5, 64, -8 in ascending order.\nAnswer: -8, -5, -2\/19, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -30?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a78 - -420?\nAnswer: 9398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 19\/7*z**2 + 40\/7*z - 12\/7 - z**4 - 40\/7*z**3 = 0. Calculate z.\nAnswer: -6, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -76.2 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r - 3*r)*(77 + 139 + 51 - 38 + (-5 + 0 + 4)*(-3 - 3 + 4) - 1 + 0 + 4).\nAnswer: -234*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3412320 (base 8) to base 6\nAnswer: 31440212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/12 - 8*c**3\/3 - 2*c**2 + c + 36. Determine f(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -13*k**4\/8 - 23*k**2 + 4. Let b = -2 + -5. List the prime factors of s(b).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146195?\nAnswer: 5, 7, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41, -68, -113, -176, -257, -356, -473?\n\"Answer: -9*b**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -303 + 288 + 2 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -2 + 28 + -14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8531498 rounded to 1 decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkmvwwvbhvbbmhwm. What is prob of sequence wwk?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 251997\/94 - 2681. Suppose 0 = -10*i + 199 - 49. Find the common denominator of 294\/72 - (i + -5 + -5) and p.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by -14355.\nAnswer: -38\/1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1*(4 + -11)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-15)\/i*i*i**1*i)\/(i**4\/i*i*i**(-8)) assuming i is positive.\nAnswer: i**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 1. Let r be h(4). Factor 3*w**2 + 2*w**3 + 0*w**2 - r*w**3.\nAnswer: -3*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {x: 3, v: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-4))\/3*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-1\/2))\/(h*h**(-3\/4)))\/((h\/h**(-7\/4))\/(h*h\/(h\/(h*h**7)))))**(-5) assuming h is positive.\nAnswer: h**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*b + 280 = 209, -2*g + 4*b = -134. Solve -22*a + g = -107 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + 323020?\nAnswer: 323113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 4*z = -18, 4*z - 3 = -5*w. Let m(s) = -s + 35. Let x be m(18). Suppose -w*t + x = -4. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 114\/(-171) - (26\/6 + 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/702391 + 33700017769\/7023910. Let k = i + -4802. Find the common denominator of k and 67\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 + 4*o**2 - 2*o**2 + 6*o**3)*(o - 2*o + 0*o).\nAnswer: -10*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*u, -2*f + 3 = -5*u + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 3*n + 9. Let k be u(-5). Let b be (k\/(-3))\/((-10)\/(-450)). Suppose -3*r + b = 5*i - 16, -3*i - r + 17 = 0. Solve -8 = -y + i*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8787301380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 17 + 23 + 133*t.\nAnswer: 133*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 1. Let y be n(-4). Let g(t) = t**3 + 4*t**2 - t - 5. Let q be g(-4). Let i = y - q. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 - 111. Let n = -1 - -1. Let v = -2 - 1. Put s, v, n in decreasing order.\nAnswer: s, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + ((-28 - -41) + -39 - -17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-9))\/(11\/(198\/12))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/5*18\/72?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 2065535453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50106 is divided by 216.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/3 and 340\/24*7\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72471126 divided by -72982?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986882749.\nAnswer: 26903, 36683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9 = -h. Let f = -222 - -158. Let m be -4*(-2)\/20*(-40)\/f. What is the nearest to 2\/3 in -2\/7, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1516\/5 + 9101\/30. Which is greater: q or -360?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*u**4 - 16806312*u**3 + 1471083799467*u**2 + 3677788278630*u + 2298634086675.\nAnswer: 3*(u - 175067)**2*(4*u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -59*i**2 + 8*i - 3. Let r be a(3). What is r rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 38*o + 2442. Let q be c(-64). Solve 3*p = 25*s - 29*s + 2, -4*s + p + q = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, p: 1, j: 2, v: 2, a: 1, c: 2}. Give prob of picking 2 f, 1 c, and 1 j.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025 is divided by 103?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**3 + u. Let o be h(-1). Suppose -1 = -a - o. What are the prime factors of (5 + a)*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2 - r - 2. Let q be x(-1). What is the common denominator of 30\/28 + 4\/((-8)\/q) and 46\/5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/42*-1*(-14)\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(9\/(126\/(-4))). Let d(g) = g + 27. Let l be d(y). Let x(b) = -b + 35. Let p be x(l). Solve 0 = 5*c - 5 - p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x + 18*x = 241720. Is -6043 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebccbwccwcwwgbw. Give prob of sequence ew.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h - 49. Let y(a) = -10*a - 49. Calculate -6*x(v) + 7*y(v).\nAnswer: 2*v - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*a = -25 + 7, 5*a + 5 = 0. Solve 3*q - 13 = 5*p, 2*p = -m*q + 7 - 33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c**5\/5 - 554*c**3\/5 + 544*c**2\/5 - 24*c = 0.\nAnswer: -6, 0, 1\/3, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53\/3 - 18. Suppose 0 = -5*n - k - 84, 0 = 4*n + k + 64 + 4. Let b be ((-9)\/32)\/(12\/n). What is the closest to 1\/4 in j, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 7. Let m(a) = a**2 + 16*a - 54. Let s be m(3). Put c, s, -0.08 in decreasing order.\nAnswer: s, -0.08, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*q - 11. Suppose -6*b + q = -3*b. Suppose 0 = 4*d + b*i - 15, -2*d - 5*i + 3 = 6. What is the remainder when 17 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1261 and 222.\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s = -43*s - 7 - 7 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -4\/5 (b) -0.2 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 8, -1\/5, -0.1, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0 - 8 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26349233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-24)*(-1 + -29). Suppose 0 = 24*z - 29*z - m. Which is the closest to 0.1? (a) -2\/3 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, k: 2, d: 3, a: 10}. Give prob of picking 1 d and 1 a.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 + 3. Let y(s) be the third derivative of s**5\/15 + 63*s**2. Give y(g(q)).\nAnswer: 36*q**4 - 72*q**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0799915 tonnes in nanograms?\nAnswer: 79991500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*p + 46, -4*p - 23 = 4*m + 17. Let i = -4 - m. Suppose -13 = -3*b + i*b. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8416.97 rounded to the nearest 10?\nAnswer: -8420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 - 6*w - 6 + 3*w**2 = 0. Calculate w.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a - g, 0*a = 3*a - 3*g + 6. Let y be (a - 0)*(1 + (7 - 8)). Suppose y*m + 196 = 7*m. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30517.1 - 30513. Which is the third biggest value? (a) t (b) 0.4 (c) 3\/7 (d) 12 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/4)\/((-51)\/(-34)) + 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312.0692 - 312. Let s = n + -0.07. Round s to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 999 and 23618124?\nAnswer: 2621611764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4)\/(-15)*(4361\/(-196))\/89.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305 + -257. Sort -2, -1, l in decreasing order.\nAnswer: l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 6:12 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*h - 33*h + 336. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007114604 to 5 decimal places.\nAnswer: 0.00711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 159698*u**2 - 10*u**3 - 7*u**3 + 0 + 19*u**3.\nAnswer: 2*u**3 + 159698*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23220140 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + r - 4 + (3*r - 1 + 1)*(-1 + 1 - 1) + 0*r - r - r - 2 + 2*r + 2 + 0*r - r - r)*(0 + 3 - 1).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13514466 is divided by 249.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 437559728\/922257 + -2\/102473. Do 474 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + 1 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.3 + -1.3. Let s = 0.02 - -7.98. Let h = s - a. Is 0.1 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (226\/565)\/(-2*1) + (-4)\/280\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 176*l**4 + 178*l**4 + 2 + 15*l - 5*l**2 - 16*l to y + g*l + m*l**3 + p*l**2 + h*l**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.783537ng to tonnes.\nAnswer: 0.000000000000009783537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) 0.28 (b) -0.066 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -293.051393 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2 - 39*l - 97. Give m(-30).\nAnswer: -1627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -3*sqrt(117)) + sqrt(26)\/sqrt(18).\nAnswer: 31*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q**2 + 5*q**3 + 63 + q**3 - 2*q**3 + 42*q**2 - 5*q**3 - 127*q = 0 for q.\nAnswer: 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13832*y - 13832*y + 171*y**3.\nAnswer: 171*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 201*i + 12 = -202*i, 9*m = 3*m + m + 4*i + 34 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + 6)*3\/(-6). Suppose s = o + 1, 4*s - o = w*s - 1. Let l be 0 + -1 - 4\/(-2). What is the second biggest value in l, 2, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 32. Let u = g + -19.7. Which is the closest to 0.08? (a) u (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293790*r**4 - 7*r**2 - 4211*r + 3406.\nAnswer: -3525480*r**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33817 - -33817. Put 1\/1606, p, 1 in decreasing order.\nAnswer: 1, 1\/1606, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3 + 3)*(-l**4 + 4*l**4 - 4*l**4) + (-3*l - 2*l + 4*l)*(-4*l**4 - 2*l**4 - l**4 + (5*l**3 - l**3 - l**3)*(-5*l - 4*l + 4*l)).\nAnswer: 21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 685\/(-2))*808\/(-606).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1009261, 2, -1 in increasing order.\nAnswer: -1, 2, 1009261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28*((-136)\/(-374) - (-76)\/(-88))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -33*w**2 - 13*w + 91. Let c be i(6). Is (1\/(-1))\/(5\/c*1) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -43. Solve -3*u + l = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-five quarters of a kilogram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3*c)*(3 + 2*c - 3) - 223*c**2 + 51*c**2 + 42*c**2 + (2 + 2*c**2 - 2)*(4 - 6 + 3) as m*c**2 + l*c + a and give m.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489716137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90393, 2, 1.\nAnswer: 1, 2, 90393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 975*f - 1739*f + 941*f + (2*f - 2*f - f)*(-4 + 5 - 3).\nAnswer: 179*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -19. Suppose 5*l = -3*h + 21, h = 2 - 0. Solve -l*r - n = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -40*z + 48*z - 120, 5*w - 140 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*t = 4*t - 995, -4865 = 5*r + 2*t. Let y = 39212383\/20 - 1959645. Let n = y + r. Calculate the common denominator of n and -65\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/7)*k*k*k**(1\/26) assuming k is positive.\nAnswer: k**(319\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 5 + 17)*(2*o + 1 - 1).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5))**(-16)*(s*s**(-3\/2))**(-34) assuming s is positive.\nAnswer: s**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 + 12*p + 11. Does 25 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 52 - 12 - 2*x**2 - 18 - 317*x.\nAnswer: -2*x**2 - 317*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*a*n**2*u + a*n*u**3 - 2*a*n - 295*n**2*u**3 with respect to a.\nAnswer: 54*n**2*u + n*u**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*r. Let h be 1 + ((-1)\/1 - r). Let x be (-32)\/(-16) + 3\/(-1). Is x greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-104)\/6 + 2\/(-3). Let f = -4 + 6. Let n be (l\/(-15))\/(f\/20). What is the greatest common divisor of n and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - i**2 - 2*i - 2. Let f(l) = 712*l**3 + 6*l**2 + 14*l + 12. What is f(m) + 6*r(m)?\nAnswer: 724*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154726399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 4*s**3 - 3 + 7*s**3 + 6*s**3 - 5*s**3 + (-2*s**2 + 4*s**2 + 0*s**2)*(5*s - 2*s - 4*s) - 3*s**3 + s**3 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -5\/3, -1\/8, -3, -683 in descending order.\nAnswer: -1\/8, -1\/2, -5\/3, -3, -683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 10. Calculate the greatest common divisor of x and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 1, -0.5, 22, -156\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-20)*(-15)\/(-18)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 + 6*w**2 - w. Let i(h) = 4*h**3 + 5*h**2. Let l(n) = -6*i(n) + 5*y(n). Find the second derivative of l(d) wrt d.\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*z - 141390 + 141390 + 30*z**2.\nAnswer: 30*z**2 - 69*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -81 and 643907.\nAnswer: -52156467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 634381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84743\/10 - 8464. Let l = -44699\/154 - -2055\/7. Calculate the common denominator of l and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hry when three letters picked without replacement from {p: 2, r: 6, k: 4, h: 2, y: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -518*i**5 - 2093*i**2 wrt i?\nAnswer: -31080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5262 and 877?\nAnswer: 5262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3667 is divided by 334?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -232979 and -232976 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -156*g + 1. Let u(w) = -16*w**2 + 2*w + 376. Give u(m(j)).\nAnswer: -389376*j**2 + 4680*j + 362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 + 1874*w - 1876*w + 28*w**3 - 25*w**2.\nAnswer: 28*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 0*t**2 + 0*t**2 + 2*t**4 + (-29 + 29 + 54*t)*(-2*t**3 - 31*t + 31*t) - 3*t + 3*t + t**4.\nAnswer: -105*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1800 divided by 360\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttvt when four letters picked without replacement from {o: 6, t: 4, v: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7*y**(5\/6))\/(y**(4\/3)\/y**(2\/3)))\/(((y\/((y**1\/y)\/y))\/y)**(1\/19)*y\/((y**(1\/9)*y)\/y*y)*y**(-7)) assuming y is positive.\nAnswer: y**(4865\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*m - 364*m - 616 = 0 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 10 + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11145 is divided by 320.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(1650\/(-5))*55?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.201 - -18.301. Which is the smallest value? (a) p (b) -1.8 (c) -7\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 14. Let i = -23 - -33. Let f be c(i). Solve -9 = 5*v + f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238579 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4191?\nAnswer: 1\/4191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4950 = -443*l + 11826 - 2870 + 270 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 321, 8539, 16757, 24975, 33193, 41411?\n\"Answer: 8218*j - 7897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 595\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*s - 72, n + 102*s = 108*s. Solve 5*w - 17 = -m, 2*m - 5*w = -80 + n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -31. Find the common denominator of 77\/20 and (-3 + (-71)\/6)\/g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = q - 2*q - 9, -27 = -2*q - 5*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-608)\/306)*(-1206)\/402\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569755, -569656, -569557, -569458, -569359?\nAnswer: -569260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p = 34*p - 11*p + 12, 3*y = -5*p + 160 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/229446 and 65\/120186.\nAnswer: 2523906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-4))\/((-5)\/(-10)). Suppose 17 = 5*v - 4*x, -4*v - c*x + 30 = -0*v. Suppose v*w - 6*w = -29. Calculate the remainder when 83 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 39, 49, 67, 99, 151, 229?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 10 + 17 - 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 14*v**2 + 14*v + 365. Calculate n(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 + -2 + 17 + -30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 6. Let z be l(-8). Let u be z\/(-4)*-14*6. Let p be (-12)\/(-32)*2 - 109\/(-4). What is the greatest common factor of p and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258209030 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -8*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 5*j**4\/24 + 11*j**3\/6 - 79*j**2. Let a(s) = -7*s - 12. Let g(n) = 2*a(n) + 3*m(n). What is g(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**7\/70 - 83*y**4\/8 + 377*y**3 + 328*y**2 + 4. Find the first derivative of u(f) wrt f.\nAnswer: 12*f**3 - 249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 2*n - 176. What are the prime factors of n?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(102))\/sqrt(6) + (sqrt(17) - sqrt(4114)\/sqrt(2)) + sqrt(17))*-4)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -437 + 700. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -3. Let z be h + 5 + 1 + -3. Suppose 2*w + 24 - 76 = z. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39243*y - 13273*y - 13004*y - 13275*y.\nAnswer: -309*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 67653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 10. Let a be s(-7). Let j be (3 - -2 - a)\/1. Sort 2, j, -3.\nAnswer: -3, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*s - 751 + 217*s - 299.\nAnswer: s - 1050","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -89 and -23.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 9:50 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from mnebp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20 - -17)*(-2)\/(-39). Suppose 18 = h + 4*k, -h + 7*k = 3*k + 22. Put x, -0.5, h in ascending order.\nAnswer: h, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2595 = 16*y - 13*y. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) -13\/5 (d) -8.7 (e) -78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 195 = -55 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 0, 2*b = 3*y + 6. Let r = b + 0. Let c = r + -2. Is c > -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 11:28 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8427 and 7605924?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/24 - -30) + -26?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111792252 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - z + 84. Suppose 5*u - z = 6. Solve -s + u + 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1079190 (b) -0.5 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*o - 8*o + o)*(-1906 + 1906 - 37*o)*(-7*o + 3 - 3).\nAnswer: 4144*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4672 (base 16) in base 15?\nAnswer: -5524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121 + 6*d**2 - 119 - 9*d + 4*d to j*d + s*d**2 + a and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245.9 - 216.9. Which is the nearest to 1? (a) n (b) 1\/2 (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 + 7 = -4*n. Let q = -32 - n. Suppose 8*h - 3*h = -q*i + 74, -5*h = 3*i - 58. Is 15 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 18*n + 19. Let w be j(-19). Let z(o) = 2*o**3 + o**2 - o. Let d be z(w). Factor 0*r + 3\/4*r**3 - 1\/4*r**5 + 0*r**4 + 1\/2*r**2 + d.\nAnswer: -r**2*(r - 2)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r, -11 = -s - 2*r - 227. Let h = s - -733. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/12 + b**3 - 12*b**2 + 32*b. Let u be g(-9). Solve 3*m = u + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, 868, 2651, 5128, 8299?\nAnswer: 12164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*2*-6)**2 - -5*(3*sqrt(13) + -5).\nAnswer: 15*sqrt(13) + 187175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.14 (b) -2\/11 (c) -1236 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/sqrt(5) - sqrt(11) - sqrt(11))*5)**2 + 2*sqrt(11)*-3.\nAnswer: -6*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + (-2662 - -2648 - (-1 + 1 - 4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21494207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 871549794 - 4645360421753\/5330. Let l = 6\/2665 + w. What is the common denominator of l and (3 - -4) + 5\/(-8)*(-342)\/45?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -46, 65, 178?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 2362802?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -446 - -463. What is the remainder when 269 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*d + 57*d + 10*d - 594*d**2 to the form z*d + w + b*d**2 and give b.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -202100220001211 (base 3) to base 13\nAnswer: -231c65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 45201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12)*3*(-16)\/(-148). Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:59 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 - 6*w + 5. Let v be m(3). Suppose q - v = 5*q. Let x be 1 - 1 - (q - -5). Calculate the greatest common divisor of 33 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*a = -13, 5*k + 4*a = -0*k - 3. Let r be 1 + (k - 5)*-29. Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h**3 - 2*h**3 - 4*h**3)*(2 - 2 + 2*h)*(0*h - 4*h + 0*h).\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 18536360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64601237 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Suppose 3*o = 22 - u. Let m be ((-8)\/6)\/((-4)\/o). Solve -5*s - 14 = 2*w + w, -m*s - 5*w = 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 1. Let f(k) = -k. Let y = 7 - 16. Let l = y + 18. Suppose l*n - 4 = 5*n. Calculate n*p(b) - 3*f(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.6. Let y = -0.19 - 0.81. Let g = y - z. Put -3, -6\/5, g in decreasing order.\nAnswer: g, -6\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 36, 53, 74, 99, 128?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from rttrtttrtttt.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5229930 by -4.\nAnswer: 2614965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83.2 - -82.9. What is the nearest to -1\/2 in -1\/3, 4, f, 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62793 - 7346735\/117. Calculate the common denominator of f and -31\/10.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59066, 59071, 59076, 59081, 59086, 59091?\n\"Answer: 5*t + 59061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + -17 + 1)*((-4449)\/(-4))\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**31*s)\/s)\/s**(3\/8)*(s*s*s**(-4)\/s)**(2\/49) assuming s is positive.\nAnswer: s**(11957\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**4 + 22*c**4 + 11*c**4 + (-5*c + 10 - 10)*(c**3 + c**3 + 0*c**3) + (3 + 2*c - 3)*(0*c**3 + 3*c**3 - c**3).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 6*l = -26, -141*g + 6 = -145*g - 2*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 14 - 741 - j**3 + 773 + 7*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2228151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 87*x**2 + 6*x + 1. Let k be q(-1). Let i = 638 - k. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1accc (base 16) to base 10.\nAnswer: 109772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 115, 117, 119?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.85 and 14015?\nAnswer: 11912.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -114565896744?\nAnswer: -114565896746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = -0*b - 4*b - 4*l, 0 = 2*b - 2*l - 308. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23 + (-14 - -11) + 1*8. Suppose 72*n - p = 65*n. Solve 3*j + n*j = -14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)\/u)**(-8)\/(u*u**4*u**3\/u) assuming u is positive.\nAnswer: u**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1280951.2032 from 0.4.\nAnswer: -1280950.8032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 20*a - 22*a + 9*a - 21*a.\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let t(r) = 1388253*r. Give t(f(p)).\nAnswer: -2776506*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n**4 + 0*n**5 + 0*n + 4 - n**7 + 0*n**2 + 8\/3*n**3 + 0*n**6. Find the third derivative of r(v) wrt v.\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -4e2f?\nAnswer: 4e26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 8:26 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**4\/2 - 2*l**3\/3 + 3*l**2\/2 + 3*l - 3. Let z(a) = a**3 - 15*a**2 + 14*a - 2. Let q be z(14). Give t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/(-235) - (-96)\/(-70)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-12)\/(-15))\/(((-15)\/50)\/((-207)\/12))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -45. Let g = -13 - p. Let v = -2 + g. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.2 (c) 15 (d) -223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + d - 6.\nAnswer: (d - 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 177 - 77. What is the remainder when 149 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.68 - -8.67. Let w = l - -0.01. Let v = w - -2. Which is the third smallest value? (a) v (b) -2\/11 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3484118 hours in minutes?\nAnswer: 20.904708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -1 - (427 + -450).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2497 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 - 3*z**2 - 9*z - 6. Let j(a) = -3*a**3 + 2*a**2 + 8*a + 5. What is -5*j(l) - 4*y(l)?\nAnswer: -l**3 + 2*l**2 - 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oozz when four letters picked without replacement from ozzoozozooo?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 13*d**5\/5 + d**4\/4 + 13*d**2 + 25. Find the second derivative of w(y) wrt y.\nAnswer: 156*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 4*h - 1. Let z(l) = l**2 + 9*l + 2. Let p be (-42)\/(-8) + (-15)\/60. Determine p*n(f) + 2*z(f).\nAnswer: -3*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**9*m\/(m**(1\/5)*m)*(m*m**17\/m)\/m**(2\/25) assuming m is positive.\nAnswer: m**(643\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 20*s**2 + 0 + 4*s**3 - 1\/15*s**5 + 1\/6*s**4 + 0*s. Determine n so that a(n) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4627924 meters in micrometers?\nAnswer: 462792.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20298 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let t = l - -5. Suppose 2*s - 5*r + 8 = -15, 3*s = 2*r - 7. Solve j + s - t = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1958*c + 1963*c + 4 - 3916*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937*h + 198*h + 3317*h + 842*h.\nAnswer: 6294*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 96*k**2 + 332*k - 240.\nAnswer: 4*(k - 20)*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1\/10, 2\/467, 13\/6, -4 in descending order.\nAnswer: 6, 13\/6, 1\/10, 2\/467, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6422\/399 - 27\/((-162)\/(-96))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*g = -102, 3*k = 4*k - 4*g - 25. Let z be (-320)\/(-18) - (-134)\/603. Suppose -23*x + z = -k*x. Let o(s) = s - 4. Determine o(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -62906045 - 5*d**2 + 47434*d + 0*d**2 - 82904*d = 0.\nAnswer: -3547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 4*k**2 + 3*k**2)*(0*k**2 - 2*k**2 - 5 + 4*k**2) to the form c*k**3 + q + w*k**2 + t*k**4 + m*k and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 8. Suppose -2*j + 7*j = 20. Suppose 0 = -3*g + 5*g - j. Solve -x - k = g*w, x + 6 = -3*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-117)*54\/42*(-77)\/(-66)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-14)\/n)\/n)\/n)\/(n\/n**(2\/9)) assuming n is positive.\nAnswer: n**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 + -6. Let g = 0.5 - w. Let k = g + 1.8. Which is the biggest value? (a) k (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9556991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Suppose s*q = -0*q + 81. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - (2 - -3)) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + h = 0, 3*d - 13 = 3*h + 17. Suppose -2*i - 3*x + 1 = 0, i + 2*x - 8 = 3*x. Suppose 4*w - 12 = 8, d*f = -4*w - i. Let z(j) = -j - 9. Give z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 + 25 - 2*v**3 - 9*v**2 + 20*v**2.\nAnswer: -2*v**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 320422 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13232 + -13229. Which is the closest to 9\/4? (a) -6\/53 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a litre in millilitres?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 470498880*l + 55342299020313600.\nAnswer: (l - 235249440)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 82293.88 micrometers?\nAnswer: 0.00008229388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*a - 73 + 72, 0 = 3*c + 5*a - 7. Suppose -282 = c*b - 274. Let n(s) = 7*s. What is n(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 334*p**2 - 3 - 685*p**2.\nAnswer: -1019*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47694 = -5*q - 4*r, -3*q - 6*r = -5*r - 28608. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 + 28*t - 74. What are the prime factors of h(3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 26 + 18*j**2 + 12 to l + c*j + i*j**2 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -2467*b**2\/2 - 436. Let l(p) = 2*p**2. Determine l(o(r)).\nAnswer: 12172178*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2656?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416019822?\nAnswer: 2, 3, 1609, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(7)*-1 + 2)**2.\nAnswer: -8*sqrt(7) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4352321*a + 34341.\nAnswer: 4352321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4000, 3435, 2870, 2305?\n\"Answer: -565*v + 4565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -23518, 404 in ascending order.\nAnswer: -23518, -2\/13, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -4828.\nAnswer: 49\/4828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 - 3*v + 4. Let m(j) = j**2 - j + 1. Calculate l(w) - 3*m(w).\nAnswer: -6*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + -10 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4059501072.\nAnswer: 2, 3, 11, 7688449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a6470 (base 11) in base 3?\nAnswer: 1210210011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 29 - 13. Suppose -q = 5*s + 21. Let r(d) = -d**3 - 4*d**2 + 7*d + 7. Calculate r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - q = -4*q - 176, -2*p - 4*q + 176 = 0. Which is smaller: 124 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -16. Let g be 99\/15 + j + -1. Factor -1\/5*o + o**4 + 9\/5*o**2 - 2\/5 + g*o**3.\nAnswer: (o + 1)**3*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.0532, -587 in descending order.\nAnswer: 0.0532, -1\/2, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7405 + 7414. Which is the closest to -0.2? (a) -5 (b) m (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 24 in increasing order.\nAnswer: -5, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3 - (0 - -3)) + 40 + -46\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -235, -673, -949, -1063?\n\"Answer: 81*c**2 - 681*c + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h**(6\/17)\/h)))\/h)**(-6\/25))**42 assuming h is positive.\nAnswer: h**(7056\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 5, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (3 - -1)) + 18 + (-24 - -15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 33. Let s be j(-11). Suppose -3*y + 20 = -5*n, s*y - 2*n = -4*y + 8. Put -2, 14, y in increasing order.\nAnswer: -2, y, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2.01. Let j = 232.73 - 232.43. Which is the biggest value? (a) 4 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3902?\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 + 0.8. Let v = 8839.09995 - 8837. Let g = v - c. Round g to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5 + (-130)\/(-150)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*-2*(-3)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 2, z: 2, v: 2, n: 1, y: 1}. Give prob of picking 1 x, 1 n, and 2 z.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 12*f**2 - 27*f - 33. Let j be z(-11). What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/40 - 1209*f**4\/64 - 151*f**3\/8 + 41*f**2 - 7*f. Factor d(o).\nAnswer: -3*(o + 302)*(4*o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90844 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1432367 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}