diff --git "a/data/dm_maths/full_data_2/11086_11255.jsonl" "b/data/dm_maths/full_data_2/11086_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11086_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z = -4100624 + 6979288. Suppose z = 4*l - 8*l. Let o = 459666 + l. Round o to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 191 - 67 - 2*b**2 - 65.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.253477 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/5 + 11504*d**4\/5 - 16565734*d**3\/5 + 66067504*d**2\/5 + 16565736*d\/5 - 66079008\/5 = 0?\nAnswer: -1, 1, 4, 2874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*h + 3*n + 158, 5*n = 3*h - 146. Suppose 218 + h = 4*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10153 (base 7) to base 13\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75407175 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143 - 112*k - 86*k - 144)*(-14 - 11*k**2 + 14) - 2*k**3 + 5*k**3 - 4*k**3.\nAnswer: 2177*k**3 + 11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -149*i + 145. Calculate p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.319671 to zero dps.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/(-12) + (-1)\/2. Suppose 5*m - 6363 = f*m. Let p = m + -19036\/9. Calculate the common denominator of p and 43\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*p - 73*p + 18 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3112780 is divided by 311278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 23.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 10*l + 6. Let m be y(-9). Let h be 1*(m\/(-55))\/3. Let k = -227\/385 + h. Is k greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.8, 8, 3, -4.\nAnswer: -4, -1, 1.8, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 + -89. Suppose -87 = -3*b + 4*q, -f*b = -2*b + 4*q - 29. Solve -b + 11 = -6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 29 = -2*b, -o - b + 15 + 5 = 0. Solve -37*m - o = 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.00712 + 27. What is l rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45802707.6999947 + 45802705. Let c = -2.7 - x. Round c to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 7*f**2 - 9*f + 4. Let p be u(8). Let v(n) = -209*n + 9. Let q(d) = 1004*d - 44. Let h(j) = -5*q(j) - 24*v(j). Calculate h(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54225 - 38039*u**3 + 54225 + 37858*u**3.\nAnswer: -181*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4))**(15\/2)*p**(2\/9)\/(p\/(p*p**(-6))*p) assuming p is positive.\nAnswer: p**(553\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26351? (a) 41\/2 (b) 5 (c) 36 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12209 - 1072?\nAnswer: 11137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1533525411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 6*q = 288. Let v be (0 - (-6)\/(-8))\/(q\/(-128)). What is the nearest to 3\/7 in 2\/13, v, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(132)*2)\/((sqrt(48)\/sqrt(4) + sqrt(12))*4).\nAnswer: 3*sqrt(11)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 3*n**3 + 0*n**2 + 8*n - 7 + 6*n**2. Let i be m(7). Suppose i = -z - 1392 - 1108. Round z to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1217710 and 10.\nAnswer: 1217710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55977*k**4 + 3670*k**3 + 16837823*k + 6?\nAnswer: -671724*k**2 + 22020*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10911, -10099, -9287, -8475, -7663?\nAnswer: -6851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 33*l**2 + 2 + 2*l.\nAnswer: 33*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 0*u + 0*u**2 + 2*u + (3 - 3 - u)*(-3*u + 4*u - 6*u).\nAnswer: 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:32 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 6)*0 - 20. Let r be (-7 + 18)*t\/(-2). Calculate the highest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 8*g**2 + 11*g - 15. Let c be p(9). Let v(a) = -a**2 + 2*a + 6. Let k be v(c). Solve 0 = -4*m + k*l + 3, -m + 1 = -l - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxxujwxxxjwxuuxxxx. Give prob of sequence ujux.\nAnswer: 11\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86163 divided by -2?\nAnswer: -86163\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t + 7*t + 8*t - t to r*t + y and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -68, -151, -288, -491, -772?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 45690135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7424 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*n. Suppose -3*k = -2*f - n - 1, 4*k - 12 = 0. What is the smallest common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {x: 2, t: 3, j: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - h + 12354999, -5*v + 3*h - 12354997 = 0. What is v rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 11 - 174*d + 10*d**2 + 177*d.\nAnswer: 10*d**2 + 3*d + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 57 (b) 2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:25 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 657\/1352 - -19\/1352. Let r(u) be the second derivative of -x*u**3 - 3\/4*u**4 + 35*u + 0 + 0*u**2. Let c(y) = 6*y**2 + 2*y. Calculate -8*c(k) - 5*r(k).\nAnswer: -3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-65) + 4\/40*-4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, -44, -71, -114, -179, -272?\n\"Answer: -r**3 + r**2 - 13*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23*1\/(-2)*-2. Let x = -113\/5 + q. Let o = 0 - -0.5. Which is the third biggest value? (a) -2 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 take away 0.581?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from fmfmfff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40646 - -394?\nAnswer: -40262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6600551\/3676 - -303\/919. Let p = -3599 - -1828. Let u = c - p. What is the common denominator of 95\/22 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4096*x**5\/3 + 3328*x**4\/3 + 8144*x**3\/3 - 2235*x**2 - 1350*x + 1125 = 0?\nAnswer: -1, 15\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6250, 6246, 6242?\nAnswer: 6238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12145 and 1326745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/(j*j**(2\/3)))\/(j\/(j\/(j*j**(-1))*j*j))**(-33)*(j**(2\/3)\/j*j)**(1\/41)*(j*j*(j\/(j\/j**0))\/j)**22 assuming j is positive.\nAnswer: j**(-4754\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 - -146. Let n = 0.4 - 4.4. Let r = n - -4.1. What is the smallest value in f, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 8 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*o + 2*q + 28, -q = 3*o + 17. Let r be (-1)\/(-2) - 2\/o. Let t(x) = 8*x**2 - x + 1. Determine t(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:35 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*29\/(-754)*3*(-10)\/(-12)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i + 6, -2*t = -4*i - 14. Let j = -1 - t. Is 15 a factor of (-149)\/j - 4\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*y**4 + 16*y**3 + 823*y**2 - 985*y + 300.\nAnswer: -(y - 3)*(y + 4)*(8*y - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27990562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34955 by -51.\nAnswer: 34955\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434364, 868534, 1302718, 1736922, 2171152, 2605414, 3039714?\nAnswer: 3474058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 89190, 89098, 88944, 88722, 88426?\n\"Answer: -s**3 - 25*s**2 - 10*s + 89226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807.9592km to nanometers.\nAnswer: 807959200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -23*s**4 + 5*s**2 - 19*s - 5. Let z(b) = 12*b**4 - 3*b**2 + 10*b + 3. Let l(d) = -3*m(d) - 5*z(d). Find the second derivative of l(j) wrt j.\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -2*o - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 22. Let s(h) = -4*h - 5. Let l be s(3). Let u be z(l). Solve y + 24 = -5*j, -2*y - 6*j + u = -11*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -20000*b**4 - 56000*b**3 - 58800*b**2 - 27441*b - 4804. Let w be 2\/(-5) - 129\/215. Let o(m) = m + 2. Let f(l) = w*g(l) - o(l). Factor f(v).\nAnswer: 2*(10*v + 7)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -59, -129, -227, -353, -507, -689?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 26768400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*t**2 + 88*t**2 + 134*t**2.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(24\/28))\/(((-33)\/22)\/1).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 5 = 2*d. Let a(q) = -q + 16. Let c be a(d). Suppose -c = 2*h - 4*h - j, 0 = 5*h - 5*j - 10. Solve 12 = -3*n, -2*v - 5*n + h*n - 16 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -1*sqrt(12)*6)\/(sqrt(144)\/sqrt(4) + sqrt(4)).\nAnswer: 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-4)*x*x))\/x**(2\/29)*(x\/(x*x*(x**(2\/5)*x)\/x)*x)**(-38)*((x*x**(-2\/3))**(1\/12))**(5\/2) assuming x is positive.\nAnswer: x**(190013\/10440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 5*w**2 + 14*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1822039061 to 5 decimal places.\nAnswer: -0.1822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1163*l. Let r(b) be the second derivative of -b**4\/6 + 340*b. Determine x(r(z)).\nAnswer: 2326*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 15 = -5*t. Let u(m) = -23005*m - 15. Let a be u(t). What is a rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 3*b + 2*b + (4 - 4 + 2*b)*(-4 + 4 + 1))*(-3 + 4 - 10) to the form c + o*b and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + -13.5. Let y = b - -12. What is the second biggest value in 0.5, y, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*l**3 + 4 - 4 + 1 + 32*l**3 in the form r*l**2 + t + b*l + c*l**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 f when four letters picked without replacement from fgfgffffgfgggggg.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 + 2*x**2 + 6*x - 9. What is s(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8903 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/((-9)\/4) + -5. List the prime factors of (12865\/(-25))\/s + 4\/10.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - (-8 + -6 + 3). Solve -3*i = -3*a - 2*a + l, 4*a = 5*i - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82800 by -414.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2. Let u be v(-4). Calculate the common denominator of -57\/14 and 6\/u*(-590)\/(-12).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + 2849\/99. Let x = 29 - v. Solve x = -l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190546246*z**3 + 264874453.\nAnswer: -571638738*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-21)\/(-6) + 250\/4. Suppose -315 = -k - 5*i, -2*k + 552 = -4*i - m. List the prime factors of k.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1782*u**2 + 8916*u + 25. Calculate a(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -6\/11, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32421, 32390, 32333, 32244, 32117, 31946, 31725, 31448?\nAnswer: 31109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**5 - 5*x**4 - 47*x**3 - 7*x**2. Let n(s) = s**4 + s**3 + s**2. Let b(i) = -5*n(i) - q(i). What is the third derivative of b(g) wrt g?\nAnswer: 60*g**2 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -19*u + 37. Let n = 1\/12 + 7\/24. Which is the second smallest value? (a) u (b) 2\/17 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -494 divided by -42.\nAnswer: 247\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -816, -848, -896, -954, -1016, -1076, -1128, -1166?\n\"Answer: z**3 - 14*z**2 + 3*z - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801097585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141837211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-443)\/4 + (-6)\/24. Let y = -87 - w. Calculate the lowest common multiple of y and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 810673\/3 and 270223 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w. Let f be b(1). Suppose 0*m = -f*m. Solve m = -3*s - 0*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)\/b**7 assuming b is positive.\nAnswer: b**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91474 is divided by 60.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1068 divided by 534\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r**2 + 6*r**3 + 12*r**2)*(r**2 - 2*r**2 + 3*r**2) + 3*r**5 - 6*r**5 + 0*r**5 - 2*r + r**5 + 2*r + (2*r**2 + 0*r + 0*r)*(r**3 + 0*r + 0*r).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-10 - -8) + 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 4*k - 4. What is the units digit of l(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t - 1. Let v be u(-2). Let h = -0.6 - -0.4. Let p = -0.060418 + -3.939582. Which is the second biggest value? (a) v (b) p (c) h (d) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*x**3 - 171*x + 383*x**3 + 182*x.\nAnswer: -9*x**3 + 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:20 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3091 + 3083 - 6178 - 159*t**3 to the form b*t + f + i*t**2 + x*t**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6132 + -700. Which is greater: -6834 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 43 = 8. Let i be 6\/(r - (5 + -8)). Which is the closest to 2\/9? (a) i (b) -1\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -4a59?\nAnswer: -4a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*g + 26, 5*k - 4*g + 12 = 3*k. Suppose -k*w = -9*w + 80. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 35*b**3\/6 + 2*b - 66. Let a(f) = f**2. Calculate n(a(v)).\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 548 + -1166\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406 and 12159?\nAnswer: 705222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 37 - 7*q**2 - 28 + q + 3*q + 3*q**3. Let f(n) = n**3 - 3*n**2 + 2*n + 4. Let t = 2 - 9. Give t*f(d) + 3*a(d).\nAnswer: 2*d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 255 = -7*r. Suppose -26*u = -21*u + r. Let y = u - -34. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -16. Let u be 657158*(25\/10 + x). Let o = u + 178579. Round o to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67565029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.021 + -19.979. Let d = b - -19.8. What is the closest to 0.1 in 4, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1078, 2, 76, -39, 5.\nAnswer: -1078, -39, 2, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7802, -7794, -7786, -7778?\n\"Answer: 8*r - 7810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(3\/18). Which is the nearest to 1? (a) 0.5 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/34181 + 136714\/170905. Let p = -48411\/7 - -6929. Which is the biggest value? (a) p (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/13)\/(o\/(o**18*o*o)))\/(o*o**4)**(-11\/6) assuming o is positive.\nAnswer: o**(2161\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -811429 (base 11) to base 5\nAnswer: -313224040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 18. Let n(w) = -13*w - 6. Let t be n(-1). Sort 4, -3, c, t in increasing order.\nAnswer: -3, c, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 - 112.4. Which is the second biggest value? (a) -3 (b) v (c) 65 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 18 - 18)*(-1 + 2 - 3) + 0*n**4 - 3*n**4 - 2*n**2 - 6*n**2.\nAnswer: -n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*q - 2\/3 - 1\/3*q**4 - 1\/3*q**3 + q**2.\nAnswer: -(q - 1)**2*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 1)*(44 + 17 + 158) + (-4 + 4 + 1)*(5 - 1 + 2) - 2 + 1 - 2)*(-c**2 + c**2 + c**3).\nAnswer: 441*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 28727?\nAnswer: -28727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-639)\/(-15) + 27\/(-45) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-1808)\/(-7 - -9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8390, -8395, -8404, -8417, -8434?\n\"Answer: -2*h**2 + h - 8389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 29 = 155. Suppose d*f + 424 = 42*f. Let o = -109 - f. Sort -17, 0, o.\nAnswer: -17, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -969 - -262. Let x = k - -1271. What is the remainder when x is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 29 = 5*x - 7, 2 = x + 2*y. Let z(p) = 2*p + 7. Let d(n) = -2*n - 8. Calculate x*z(u) - 5*d(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 131326 = -7*k, -4*p + 83*k - 86*k = -105121. Is 29 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4556131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(-15) + 80\/(-25) + 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 336.38 + -384.38. Sort j, -5, -3.\nAnswer: j, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkkkkkkgkgkgg. Give prob of sequence kgg.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 26*k**2 - 26*k + 24. Let c be i(-27). Suppose 0 = 5*z - 96 - 314. Find the common denominator of c - 1\/(40\/z) and 23\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 9:51 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306964?\nAnswer: 2, 7, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 158.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241170?\nAnswer: 2, 3, 5, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4829745*o + 4829747*o = -2*q + 28, o - 8 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1514 and 219765427.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n - 4*y + 444, 3*y = -2*n + 172. Suppose -4*v + 3*r - 36 = -n, -3*r = 3*v - 21. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 1.9. Let f = -3 + 2.6. What is the nearest to -0.1 in -2\/7, h, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 654 and 749883921?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -146, 0.5, 0.037539 in decreasing order.\nAnswer: 0.5, 0.037539, -0.4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:06 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013 + 1.097.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1899698 * -0.0139\nAnswer: 0.00264058022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843403.\nAnswer: 11, 76673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 5*g**3\/9 - 85*g**2\/6 - 352. Factor n(u).\nAnswer: 5*u*(u - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -104655*c**2 + c + 12. Let d(k) = k. What is n(d(t))?\nAnswer: -104655*t**2 + t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.067. Let i = -3065.0230124 - -3065.09. Let s = i - v. What is s rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1598.\nAnswer: -1\/1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -22. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15816a9 (base 15) to base 7.\nAnswer: -246401265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 12*g**2 + g - 6. Let y be f(12). Let j be 4\/(-5)*(-105)\/y. Suppose j*i = 10*i - 100. Which is greater: -24 or i?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - n + 775, -n = -k - 2*k + 576. What is the second derivative of 88*r - k*r - 11*r**2 + 67*r - 2*r**5 wrt r?\nAnswer: -40*r**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 14, u: 5}. Give prob of picking 2 e.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -44861737*q**2. Let a(w) = 15*w**2. Calculate b(a(u)).\nAnswer: -10093890825*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 1439975*u + 2879949\/2.\nAnswer: (u + 1)*(u + 2879949)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 + 47*i**2\/4 + 33*i - 9 = 0. Calculate i.\nAnswer: -6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73d7d0 (base 14) in base 16?\nAnswer: 3bc5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-76)\/722 - 88\/(-114)) + -507. Which is greater: -507 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -681116?\nAnswer: -681115.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m\/(m*m**(-2)\/m))\/(m\/(m**(-6)*m)*m*m*(m**(-1\/10)\/m)\/m)*(m**(-1)*m)**(-2\/37)\/(m*m\/m**0*m*m*m)**(-50) assuming m is positive.\nAnswer: m**(2421\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3727660.\nAnswer: 2, 5, 29, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:11 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 38999 - 259 = 12*o. What are the prime factors of o?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20447829?\nAnswer: 3, 757327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 + -78. What is the greatest common divisor of g and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2510, -4634, -6760, -8888, -11018?\n\"Answer: -y**2 - 2121*y - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3 - 3) + 2)\/((-8)\/(-32)). Let i(p) = -p**2 + 22*p - 2. Let z be i(j). What is the greatest common divisor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(2\/(-4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54144 and 57340?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000735946 rounded to six decimal places?\nAnswer: 0.000736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22270402?\nAnswer: 2, 7, 11, 73, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/41 bigger than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**8\/14 - 5*c**7\/42 - 19*c**4\/12 - 18*c. Find the third derivative of a(k) wrt k.\nAnswer: 480*k**3 - 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 1842\/641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 28*b - 9. Let k be s(-14). Let f(q) = -q**2 - 14*q - 32. Let g be f(k). Calculate the greatest common divisor of g and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619595 - 6*i**2 + 619757 - 1858953 - i**2 + 619601 + 2*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12907551317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -39. Suppose s*n - i - 133 = 0, 0 = 3*n + 5*i - 35 - 82. Let w = n + -24. Calculate the lowest common multiple of w and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3108, 4233, 5374, 6543, 7752?\nAnswer: 9013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118 and 177.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 8*b - 9. Let j be n(-6). Suppose 0 = 3*c - 6*c - 9. What is the nearest to 2 in c, j, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650907 and 9486?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2665*x - 9. Let w(v) = -2*v - 3. Give -j(p) + 3*w(p).\nAnswer: 2659*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-50)\/475 - ((-12820828)\/76 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -100*u - 5288. What is the remainder when i(-77) is divided by 173?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/3)\/(8\/612).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.568 + 8.77. What is l rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 8*i - 14. Let g be d(-2). Let l be (g - -2) + 10\/65. What is the third biggest value in -1, -26, l?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -5, 0, 9, 22, 39?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(2 - -2) - (-2 - -3 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2452146, 10, 0 in increasing order.\nAnswer: 0, 10, 2452146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 82*g + 495 = -25*g. Is g not equal to -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3327 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70598*n = 70603*n + 15*s - 60, 31 = 3*n + 4*s for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4044272.\nAnswer: 2, 252767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)\/(z**(3\/8)\/z)*(z*z**(-2\/3))\/(z*z**(-3\/2)*z))**39 assuming z is positive.\nAnswer: z**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13.5, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/((-4)\/18). Solve m + m - 13 = -f, 3*f - 27 = -i*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 21*r**4\/4 + r**3\/3 + 55*r**2\/2 + r + 75. What is the second derivative of t(q) wrt q?\nAnswer: 126*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -663*o**3 + 59649*o**2 - 279885*o - 8925 = 0. Calculate o.\nAnswer: -7\/221, 5, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8fd7f3 (base 16) to base 8.\nAnswer: -43753763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142942 - ((-30)\/24*(-2 + 6) - -8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.034 * 2.84.\nAnswer: 0.09656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 123*z**2 - 236*z + 739. Calculate w(-121).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 116713\nAnswer: -46685.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from iqyiysqiqqqqiqq.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = w - 3, -4*w + 6*p + 12 = 3*p. Put -1, w, 2 in decreasing order.\nAnswer: w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1069 - 1068. Let b be (73\/219)\/(u\/9). Solve b*t - 4 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-404)\/(-792) + ((-1310)\/220 - -6)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - q + 94 = 12*c, -60 = -3*c + 3*q. Solve -59 = 8*w - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120330, 481220, 1082702, 1924776?\nAnswer: 3007442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**3 + 0*v**5 - 7*v + 0*v**2 + 0 + 2\/15*v**6 + 7\/12*v**4. Find the third derivative of a(p) wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 7, s: 1}. Give prob of picking 1 l and 1 u.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28750749.\nAnswer: 3, 1667, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let a(f) = 273795946*f**2. Give a(l(v)).\nAnswer: 273795946*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 211100203213 (base 4) to base 15\nAnswer: ccde7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16305 is divided by 626?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 6606491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 3\/(3\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*s = 8, -r + 483*s - 485*s + 2 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539161 to the power of 1\/2, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2 + 5\/4*t**4 + 3\/2*t**2 + 0*t + 0*t**3. Find the second derivative of g(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = c, -2*c = 2*z - 5*z + 13. Solve -z*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65))\/sqrt(5) + -5)**2.\nAnswer: -20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) + 1)*4 + 4.\nAnswer: 8 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12230216\/63 - 194125. Let q = g + 1\/63. Find the common denominator of q and -26\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*1*-4)**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010936831 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1433 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 + 4*l - 2. Let f = 120 - 119. Let i(u) = -u + 1. Determine f*b(g) + 4*i(g).\nAnswer: 3*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 398\/(-3383)*(1 + 0)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 39 = -c, 4*c = n + 66 - 99. Suppose 0*u - 13 = -u. Let x = u - n. Solve 1 = b + x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/3 + 1 + 1. Suppose -u + 3*u = p. Solve -w = -u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 3:10 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 - 451*w**2\/6 - 6163*w\/6 - 6555\/2.\nAnswer: -(w + 5)*(w + 9)*(w + 437)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 - 227*h**2 - 778*h + 116. Calculate the smallest common multiple of y(79) and 2432.\nAnswer: 17024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2020098 (base 12) to base 13\nAnswer: 1327223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1089 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -66\/17, -3, 3\/4, 184?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + sqrt(425) + -5 + sqrt(187)\/(sqrt(44)\/(2*sqrt(4))).\nAnswer: -14 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 3 - -6 - 8) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22280617 a multiple of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 14*c + 35. What is a(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19807977911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4715 divided by -23048?\nAnswer: 4715\/23048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 23*l**2 - 7*l + 6. What is o(-10)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65945402 is divided by 21981793.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -21*a + 23. Let r(u) = -1. Let k(b) = -f(b) - 5*r(b). Calculate the remainder when k(4) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -796\/15. Suppose 4*x - 116 = 2*x. Let j = 404\/7 - x. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9066837 and 79\/29133?\nAnswer: 81601533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 1:41 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 68, 73, 92, 131, 196?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -29. Suppose -x = x - i. Suppose -2*l + 2*j - 6*j = -50, x*l - 118 = -2*j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 333 = -5*c + 247 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/(1*(-12 - -11))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 474*v - 4. Suppose q + 3*g = -8, 0 = q + 6*g - 7*g - 4. What is the remainder when i(q) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.95 + 3.95. Sort 4, r, -2\/41.\nAnswer: -2\/41, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 541 (b) 3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.504 - -0.004. Let d = b - -18.49778. Round d to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31796 is divided by 339?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 3)*(0 + 1 - 4) + 2 + 1 + 0)*(0*l - 5*l + 2*l) - 3*l + 2*l + 2*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*g**3*y**2 - 26*g**3 - 4*g*y + 3*y**3 wrt y.\nAnswer: -84*g**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 21*l + 17. Let x(v) = -3*v**3 + 2*v**2 + 63*v - 50. Let d(i) = -11*g(i) - 4*x(i). Let a be d(10). What is the closest to 2 in a, -0.3, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1113023002233 - -11?\nAnswer: 1113023002310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, 2, 2125 in increasing order.\nAnswer: -4, -1, 2, 4, 2125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52355031889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r - 7. Let j be o(-4). Suppose -w = -6*w + 3*u + 935, 0 = 3*w - 3*u - 561. What is the greatest common divisor of w and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4609 - 18435\/4. Determine k, given that -5\/4 - 3\/2*k - f*k**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 + 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j - 511*j**2 - 4*j**3 + 2*j**3 + 3*j**4 + 513*j**2 - 2*j**4 as w + v*j + g*j**3 + h*j**2 + n*j**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45210 and 264930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 12:49 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1974 and 2397?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96596285 divided by 19319257?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136365*y**2 + 388565*y wrt y?\nAnswer: 272730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 409\/4. Let p be (-65)\/3*1*2. Let t = p - -43. Which is the nearest to 0? (a) x (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 17056946*z + 17056945.\nAnswer: (z + 1)*(z + 17056945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -134*a**3 + 9. Let m(h) = -400*h**3 + 26. Calculate 17*l(z) - 6*m(z).\nAnswer: 122*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2*g - 15. Suppose -3*i = -3*c + 18, 0*c + 17 = -4*i - 3*c. Let w be z(i). Solve 3*r - 2 + 8 = w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 - 90. Let l = w - 81. What is the closest to l in -8, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002441 rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*2*2\/(-8). Let f(z) be the third derivative of -1\/2*z**3 + 0*z + 1\/120*z**6 + 0 + 59*z**2 - 1\/30*z**5 + 1\/6*z**4. What is f(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - ((13 - 17) + -7)) + -22?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -345*c - 29. Let i(y) = -1034*y - 80. What is -4*i(g) + 11*j(g)?\nAnswer: 341*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 403 - 113. Let f = s + -286. Suppose -2*w - 1 = -p, 0 = 3*p - 0*w - w + 17. What is the second smallest value in 3, f, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -228 + 213 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -117200 to the nearest 1000.\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000077007 to 7 decimal places.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6066 - 6064. Let u(f) = -f - 1. Let b(m) = 7*m + 7. Calculate y*b(n) + 18*u(n).\nAnswer: -4*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -625671*m**4 + 2577379*m?\nAnswer: -7508052*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 201234431 (base 5) to base 7\nAnswer: 6563510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 4*x = -4*z + 8, 6 = 3*x - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*h - 10, -3*b + 25 = -47*h + 45*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300853638 divided by 3?\nAnswer: 1300853638\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 64 (b) -34\/5 (c) -0.1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + 0 + 0 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 10, -5*j - 36 + 71 = -3*v. Let q(a) = a**2 + 2*a - 2. Let x be q(-3). Let k be 45\/2*2*x. What is the greatest common factor of k and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81126?\nAnswer: 2, 3, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.081 - 284.919. Let n = -3353.3424 + 3068.379. Let z = g - n. Round z to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3489*j - 70 = -3524*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.21679 times -9\nAnswer: -1.95111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 78*j + 9. Let p(r) = 80*r + 11. Calculate 4*f(h) - 3*p(h).\nAnswer: 72*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20*t**3 - 18*t**2. Let o be (-1)\/(-3) - 14\/6. Let q(n) = -n**3 - n**2. Let a(l) = o*q(l) + b(l). What is the third derivative of a(h) wrt h?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**6\/24 + 13*a**5\/6 - 245*a**4\/24 + 20*a**3 + 2*a**2. Let j(y) = 0. Calculate y.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190638 divided by -623?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 60. Put -2\/23, v, -3, -2\/3 in descending order.\nAnswer: v, -2\/23, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*x - x**4 + 21*x - 2*x**2 - 72*x + 21*x - 39 as v*x + z + p*x**4 + b*x**2 + y*x**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 6*k - 9. Let g(p) = -485 + 5*p**2 - 2*p**2 + 949 - 16*p - 489. Let x(a) = 3*g(a) - 8*u(a). What is x(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x + 41*x - 3166 = 0. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + -64788876\nAnswer: -64788875.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. What is the lowest common multiple of f and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 45470 = 8650. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*t + 15 = -6, 5*t = 15. Suppose -2*h + j*s = -3*h - 485379, -4*s = 0. Let n = h + 855379. What is n rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-3))\/(18\/(-27)). Let r be (-6 - q)*(-2 + 4). Let l(v) = -2*v - 10. Let w be l(r). Solve w = 3*u - 4*s - 11, 0 = -2*u + 3*s + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 23*w**3 + 12*w**2 + 5*w - 34. Let r(p) = -12*p**3 - 5*p**2 - 3*p + 17. Let b(u) = -4*c(u) - 9*r(u). List the prime factors of b(3).\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421793*k**2 + 421793*k**2 - 10*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 1\/18*f**4 + 0 + 675*f**2 - 203*f + 10*f**3. Factor a(p).\nAnswer: 2*(p + 45)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92974*o + 92974*o - 738*o**2 to the form u*o**2 + c*o + d and give u.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and 2.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1644 - 19169 = -5*s. Find v, given that 284*v**3 - 32 + 16*v + 1741*v**4 + 248*v**2 + 1848*v**4 - s*v**4 = 0.\nAnswer: -2, -1, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123172.\nAnswer: 2, 37, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -11. Suppose z - 27 = -2*y - 110, 207 = -5*y - 2*z. Let j = i - y. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 225193, 225198, 225203, 225208, 225213, 225218?\n\"Answer: 5*s + 225188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1951566 and 15538?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706*j**3 - 880*j**3 - 2520*j**3.\nAnswer: -4106*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78420?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) 2\/13 (c) 0 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202102120 + 2222121?\nAnswer: -122102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - z - 2 = 0, -8*z = -j - 6*z + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2231 (base 5) to base 2\nAnswer: 100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -945 (c) 1\/2 (d) -591\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.24 or 63\/4826?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44054267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185794?\nAnswer: 2, 7, 23, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -416231*k - 1. Let r(w) = 5*w. Give t(r(a)).\nAnswer: -2081155*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20)\/(6\/(-75)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-184)\/20 - -2)\/(2\/15). Let j be (-3735002)\/9 + (-12)\/l. Round j to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*b + 27*b - 192 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -238340 times 3.54?\nAnswer: -843723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80675718?\nAnswer: 2, 3, 3187, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/7, -12, -17, -4.\nAnswer: -17, -12, -4, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 658 and 202053.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 120\/(-36)*6\/(-4). Let g be 0\/(-2) - ((-42)\/9 + 4). What is the nearest to g in -3, -2\/23, o?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/275 and 97\/330.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2 + 1338196*j + 223846066802 = 0.\nAnswer: -334549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2\/103)*k*k\/((k**22*k)\/k) assuming k is positive.\nAnswer: k**(-1955\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2388\/23047 - -2\/1213. Let k = -282 - -281. Which is the closest to k? (a) -3\/7 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + -12 + -3 + 6 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2353 = -5*u - 4*i, -1334 = 5*u + 2*i - 3693. Calculate the greatest common factor of u and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 3 - -6)*-1. Let g be ((-20)\/l)\/((-12)\/18). Sort g, -2, 5 in descending order.\nAnswer: 5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3 + (-2)\/((-10)\/15) - -243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 166, -165, -5, -3 in ascending order.\nAnswer: -165, -5, -3, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 (base 16) in base 13?\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.39 in 97, -6, 0, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131.2 and 475.\nAnswer: -62320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*19\/(228\/(-31455)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 1, s: 1, j: 1, o: 1, d: 2}. Give prob of picking 2 d and 1 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/135 and -13\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3796 divided by -13.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 = -3*u, 4*x - u - 15 = -2*u. Solve 3*l = -0*l - x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/9 + 191*q**2\/9 - 980*q\/9 = 0. Calculate q.\nAnswer: -196, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7\/7)\/(((-3)\/(-5))\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4926.542 decades in centuries?\nAnswer: 492.6542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*v = -3*m + 5, 0 = 2*m + 3*v. Let x(t) = t - 5*t**2 + 4*t**2 + 1 + 2*t. What is the units digit of x(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -51. Are 6\/19 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:17 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 2*w. Let d be (-1)\/(-2) - 35\/10. Is r(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22691359 and 2144.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 20. Let t(o) = 7 - 2 + b*o - 9*o. Is t(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18553\/13 + -1427. Suppose -7 = -m - 3. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -102?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3\/7 (c) -2\/55 (d) 2\/11 (e) -0.3 (f) -1.6 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 20, -5600*r = -5595*r + 2*p - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/11)*o)\/o**(-10)*((o**(-2\/15)\/o)\/o)**(2\/33) assuming o is positive.\nAnswer: o**(5561\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 + -6 + 2 + 5) - (30 - -31).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8021, -8026, -8031, -8036, -8041, -8046?\n\"Answer: -5*x - 8016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/260 and -39\/16?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 4)\/(3 - 88\/28). Let p be -4 + (306\/6 - u). What is the highest common divisor of 280 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 48*p - 1358. Calculate the remainder when 5729 is divided by i(-21).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 60 = -4*j, 105 = -0*i + 5*i - j. Let h be 2 - 0 - 34\/i. Is 0 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*r + 282 + 178, -5*a + 545 = r. Let n(s) = -s**3 + 7*s**2 - 7*s - 8. What is the least common multiple of n(4) and a?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9499 divided by -7?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3753.129 + 3751. Let g = m + 0.129. Put -1, 4, g, 1\/7 in descending order.\nAnswer: 4, 1\/7, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, d: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.8*-1.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -161. Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -583*r - 73. What is the tens digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 31?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 218\/6 + (-1)\/3. Suppose 34 = -4*j - 62. Let g = j + n. Solve h + g = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6485*l - 2581031. Give c(-398).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 8) in base 9?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:43 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*k - 5*t, 2 + 13 = -5*t. Let x(p) = 2*p - 5. Let m(b) = -3*b + 3. Let c(a) = -m(a) - x(a). What is c(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7397080744 to the nearest integer?\nAnswer: 86006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -7 - (-14 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87356049 and 19470?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/5, 3, -1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-2)\/4*-4. Suppose -4*t - j = -6. Suppose 0 = -2*z + 4*z + w + 4, -z + 2*w + 8 = 0. Solve -t = -v - z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**2 + 696 - 696 + 3*h**2 - 7*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -7.8.\nAnswer: 226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 1 - u**4 - 4*u**4 + 2*u**3 + 0 - u**4 as i*u + q*u**4 + r + s*u**3 + x*u**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.7 or 2\/79?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.123 + -0.853. What is m rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-6)*165\/(-20). Let w be (-1)\/(p\/(-8) - 3). Suppose 16 = w*c, 4*c + 54 + 62 = 4*d. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*m + 28. Solve -6*f - 3*h = -m*f + 3, -3*f - 6 = h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**7\/2310 + 3*p**6\/440 + p**5\/66 - 558*p**2. Solve x(c) = 0 for c.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-2))\/((-196)\/(-197) + -1). Suppose -n = -c + 14. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9873, -9931, -9981, -10017, -10033?\nAnswer: -10023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 27*b - 165 = 0. Suppose 15*y - 11 = -b. Is y at least -3\/269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -3, 16.37?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.03074 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.518900671 to 2 decimal places.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3 + 78*m**2 + 149*m.\nAnswer: 6*m + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245639566 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhz when three letters picked without replacement from yzjejhjjuzyuzzy.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**19\/s*s**(2\/9)\/s)\/(s**19\/(s**(-1\/4)*s)))**(-2\/13) assuming s is positive.\nAnswer: s**(37\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/15*(-6)\/(-24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, x: 7}. What is prob of sequence xs?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 3, o: 1, p: 1, w: 2, v: 5}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v**4 - 6*v - 7 + 15*v + v**3 - 33*v**2 + 2*v + 31*v**2 + 8 to n*v**4 + g + t*v + a*v**2 + p*v**3 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*u - 582 = 318 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -699 or -715?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.8, 0.05, 1\/7, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16565 is divided by 360.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -2858032\nAnswer: -7\/2858032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Let m(o) = -o**3 + 5*o**2 - 2*o. Let p be m(g). Suppose 0 = 3*r - 4*r + p. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 19 = -5*j, 2*h = j + 2 - 4. Solve 5*b - j*s = -3*s - 13, 0 = -5*b - 5*s - 25 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/2340 and -113\/131094.\nAnswer: 17042220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55865.3 rounded to the nearest one hundred?\nAnswer: 55900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -490\/9 - -54. What is the nearest to x in 0.4, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(-2) - (-1)\/(-2). Let o = t - 18. Let v be (-1 - o)\/(15\/20). Solve -v*n = -h - 4, n + 4*h - 2 + 18 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88468, 176938, 265406, 353872?\nAnswer: 442336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1*-1)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11565 - 145?\nAnswer: -11732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(396)*1 + (sqrt(396) + (sqrt(396) - (2 + sqrt(396))) + 5)**2 + (2 + (sqrt(396)*1 - sqrt(396)) - (5*6*sqrt(396) - sqrt(396)))**2.\nAnswer: -654*sqrt(11) + 333440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.028 - 0.128. Let g be (50\/(-12))\/(95\/(-20)). Let n = -4\/19 + g. What is the closest to 1 in a, n, 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 2:17 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -40, 5 in increasing order.\nAnswer: -40, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(156)*2*6)\/(((sqrt(12) + (sqrt(48) - sqrt(12)))*-3 + sqrt(12))*-5) + -3)**2.\nAnswer: 72*sqrt(13)\/25 + 7497\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 932706203 to the power of 1\/3, to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -81600000 rounded to the nearest 1000000?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-i**3 + 4*i**3 - i**3)*(-16 + 0 + 2) to r + m*i**2 + b*i**3 + t*i and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 83207717*r + 83207707*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_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: Does 11 divide (-2438)\/(-3) - 17 - (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -28*o**2 - 36*o - 6. Let b(t) = 6*t**2 + 7*t + 1. What is -16*b(y) - 3*f(y)?\nAnswer: -12*y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**3*s**3 + 2795*m**3*s - m*s**3 - 2093*m*s**2 + 4*m*s wrt m.\nAnswer: -12*m*s**3 + 16770*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 279453789 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5935781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odboboddbdo. What is prob of picking 2 d and 1 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*i + 11401, 4*p - 675 = -i + 14558. Let q = p + -34303\/9. What is the common denominator of q and -33\/175?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 10*z**2 - 3*z - 44. What is the smallest common multiple of q(8) and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2196409970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*w**3 - 997646*w**2 + 997650*w**2 + 2*w**3.\nAnswer: 85*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 10 + 3 + 4 + 17 to y + g*b and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 28.\nAnswer: 5, 12, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 12.88. Let n = 0.22 - b. Let g = -24\/5 + 5. Do g and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 50*g**2 + g + 2. Does 17 divide j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 8) in base 12?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 0 (b) -3\/8 (c) -2\/7 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 5. Let r(f) = -22*f - 1. Let j be r(y). Let u = j + 46. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -555*c**6 - 20*c**3 + 554*c**6 - 1794*c + 1874*c - 5*c**2 wrt c?\nAnswer: -120*c**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 3.6, 2, -378?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000322514 to 6 dps.\nAnswer: 0.000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 - -113. Suppose 0 = s*y - 5*y - 38. Let l = -26 - y. Solve l = -3*c, 3*b - 3 = 4*c + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1430 - -1015. Calculate the remainder when r\/5*-3 - -5 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 686.27 + -0.3.\nAnswer: 685.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*y + 28 - 29*y + 20*y)*(-3*y**3 + 2*y - 2*y) as o*y**4 + k*y + j*y**3 + z*y**2 + b and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/50*2\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1659867 and 2148.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -262 - -27?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b**2 + 14*b - 62. What is u(-6)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c**3 + 2*c**2 - c - 3. Let s(t) be the third derivative of -17*t**6\/120 + t**5\/10 - t**4\/12 - 4*t**3\/3 + 160*t**2. Calculate 8*j(n) - 3*s(n).\nAnswer: 3*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-12)\/(-2) + 6\/(-3). Suppose n*q - 7*q = -234. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 54*s + 56.\nAnswer: -2*(s - 28)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let o = r + 3. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5966599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -b + 5, -4*b = 20 - 4. Find the second derivative of 29*r**m + 13 - 50*r - 3 - 11 wrt r.\nAnswer: 174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.264 - -1.7?\nAnswer: 1.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*t + 5, 0 = h - 4*t - 0 + 7. Sort h, -4, -2.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g. Suppose g = -d + 9 - 17. Which is the smallest value? (a) d (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(85) - (sqrt(85) + 3*sqrt(85)))*-5 - sqrt(85))\/(sqrt(30)\/(sqrt(6)*-3)).\nAnswer: -42*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 1 a when three letters picked without replacement from dfdvsfsa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 11*z**2 - z + 5. Let v = 21 + -14. Suppose 0 = q + 4 + v. List the prime factors of o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n + 31*n = -155. Let l be (9 - (-2 + 104))\/(3\/(-2)). Calculate the greatest common divisor of l and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u + 175 + 12*u + 38*u - 175.\nAnswer: 67*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 11230112?\nAnswer: 11230121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1992 divided by -1?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 227*u - 113*u - 114*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1278 - 1314 = -2*f - 5*s, 2*s - 39 = -9*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/98*((-18865)\/(-2035))\/49\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*t - 222, -5*t - 53*a + 382 = -50*a. Let u(k) = 10*k. Let g be u(2). Calculate the greatest common factor of t and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 639 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -45*s - 654. Calculate p(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c + 2 + 2*c - 2*c. Let o(l) be the third derivative of 5\/24*l**4 + 1\/6*l**3 + 0 + 0*l + 5*l**2. What is -4*o(f) + 3*x(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 20 - 15. Let v be (-1 - -2)\/(-7)*s. Let a be (-4 - 2\/2)*v. Put a, 3\/8, 1 in decreasing order.\nAnswer: 1, 3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1459268652, 2918537302, 4377805952, 5837074602, 7296343252?\n\"Answer: 1459268650*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:57 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.5 (b) 37 (c) 6\/1183 (d) 5 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 + -584. What is the least common multiple of 11 and t\/(-21) + 2\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6 and -167\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:04 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35271\/4 + 9068. Let w = 11107\/44 - c. What is the common denominator of w and -11\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 12:23 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 1. Let d(i) = 3*i**2 + 7*i + 3. Let u = -2490 + 2489. Calculate u*d(z) + 5*j(z).\nAnswer: -3*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from vwwvvwvvwjj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1)\/(2\/6). Suppose w + t*w - 220 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*x + 15 - 7, 4*x = -2*y. Let p = -0.246 + 1.271. Let r = -0.025 + p. Which is the second smallest value? (a) y (b) 3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834036 divided by 71?\nAnswer: 39916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(2\/6)\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.483979 to 1 dp.\nAnswer: -197.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*o + 2*x, 58*x - 56*x - 8 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4788 is divided by 136?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1 + -1 + 159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-404)\/64 - 6\/(-8) and -101\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8369003385.\nAnswer: 3, 5, 59, 3152167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -392 - 64. Suppose -4*o + m = 14. Let p = o + -18. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-13 - (14 + -26)). Which is the closest to v? (a) -5 (b) -4 (c) -0.94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*b**4 - 5)*(-7 + 12 + 2) - b**3 + b**3 + 2*b**4 in the form s*b**2 + v + i*b + n*b**4 + l*b**3 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (494*r**2 + 0*r - 446*r**2 + 0*r)*(5 + 0 - 2).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**5\/120 - n**3 - 4. Let t(f) be the third derivative of b(f). Let w(s) = 2*s**2 + 4*s**2 - 2*s**2. What is t(w(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 4*x**2 + 262*x - 247*x in the form f + u*x**2 + d*x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 248578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2. Let q(f) = -2*f**2 + 19*f - 20. Let w be q(8). Let r(i) = -9*i**2 + w*i**2 + 2*i**2. Determine v(r(o)).\nAnswer: 45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + w + 1073, -s - 5*w + 353 = -3*w. Suppose -d = -2*n + s, 5*n + 4*d - 890 = 6*d. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 184.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3773 - 2674. Let o = 35259\/32 - s. Calculate the common denominator of o and -67\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-12) + (-284)\/16. Let g be (18\/27)\/(4\/c). Let a be 355\/20 - (g\/(-12))\/(-1). Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**2 + 21882*y - 109335 = 0.\nAnswer: 5, 7289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 9. Let d(o) = -4*o**2. What is l(d(v))?\nAnswer: 8*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {p: 2, e: 4, c: 7}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662)*2*-4*6)\/(6*(sqrt(2) - sqrt(12)\/(sqrt(6)*2))*-6)*6.\nAnswer: 176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-12)\/9*-3. Let l = r + 26. Solve 0 = l*m + 4*f, -2*f + 11 = -3*m + 3*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*(-12)\/(-33).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 2*u - 3*u. Let k(l) be the third derivative of l**6\/180 - 3*l**3\/2 + 6*l**2. Let d(h) be the first derivative of k(h). Give g(d(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 68087660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.11 + -2. Let v be 0*(4 - 9*(-4)\/(-12)). Sort l, 0.2, 2, v in decreasing order.\nAnswer: 2, 0.2, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8356.039g to micrograms.\nAnswer: 8356039000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-12))\/(165\/1860))\/(18\/198)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 25*f + 157. Let s be m(5). Solve 6*u + 31 = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/((p**(2\/5)\/p)\/p)*p*p)\/p)\/p)**(-6))**(-18) assuming p is positive.\nAnswer: p**(1404\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9020 + -8982. Suppose -5*o = -2*o - 66. What is the remainder when d is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3138.851 centuries?\nAnswer: 31388.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**6\/70 - 9*m**5\/70 + m**4\/28 + 12*m**3\/7 + 24*m**2\/7 - m - 12. Factor v(i).\nAnswer: 3*(i - 4)**2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.4.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.8 - -34.67. Put -4, c, -0.5 in decreasing order.\nAnswer: c, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v**2 - 3*v + 12. Let h be m(0). Calculate the greatest common factor of h and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/((r**(-3\/2)*r)\/r)*r**(-7\/4)\/r)**(-27)*((r\/r**3)\/(r*r\/(r*r\/(((r\/(r**(-3\/8)\/r))\/r*r)\/r))))**(-42) assuming r is positive.\nAnswer: r**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/5 - 203*g**3\/5 - 13523*g**2\/5 - 297913*g\/5 - 284592\/5 = 0?\nAnswer: -77, -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 2*j + 0 + 1\/3*j**4 - 1\/3*j**3 + 0*j**2. What is the second derivative of x(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + t + 4*t - 5. Let r(v) = -5 + 4 + 7 - 7*v - 2. Let d(s) = -4*i(s) - 5*r(s). Let x(m) = 12*m. Give d(x(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, -4 in ascending order.\nAnswer: -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9) + 700\/90. Suppose 2*m + 3 - 1 = 2*d, 2*d + f = -3*m. Is -3 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3296 and 84151.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/111 and 26\/3359?\nAnswer: 372849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (248\/651*6\/(-4))\/(20\/(-42)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002202020112210 + 102?\nAnswer: -2002202020112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 16*x**2 - 12*x + 36. Let u be h(-15). Which is the nearest to u? (a) -3 (b) 8 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4)*r))**(-2\/13)*r**(-1\/7)*r*r*r**(-2\/5) assuming r is positive.\nAnswer: r**(383\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1238)\/((133\/(-21) + 7)\/(-1)).\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f - 15. What is the units digit of g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 10310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47510 by -1.\nAnswer: -47510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2355?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*g + 9 - 12 + 3.\nAnswer: 408*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263364840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 10*d + 7. Let z be v(-10). Suppose 0 = -z*w + 2*w. Suppose w = o + 3*o - 8. Solve 3*x - o*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380216 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -993435.\nAnswer: 8\/993435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2191 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104268393?\nAnswer: 6491, 170123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.4603 + 4.4313. What is the biggest value in -0.2, v, -27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-4)\/(-8))\/1*(-132)\/22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58a9 + 315?\nAnswer: 6002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*s = 101*s + 192 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 2188.4.\nAnswer: 2188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5199.543ms to hours.\nAnswer: 0.0014443175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**5\/10 - n**4\/3 - n**3\/6 + n**2\/2 + 3*n. Let f be x(3). Suppose 0 = -3*y + b + 56 - f, -b = -2. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/2223*9 + (-888)\/(-16378). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 185, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:33 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 81835.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 6. Let v = 40 - r. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.4924 millennia in decades?\nAnswer: 44649.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130.51 + 0.41. What is o rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrq. Give prob of sequence rrrr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 15*g + 28. Let c be s(-6). What is the highest common divisor of 230 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 16*x. Let s(f) be the second derivative of f**4\/12 + 27*f. Determine l(s(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - w + 27. Let z(i) = -i**3 - 6*i**2 - i + 6. Let t be z(-5). Let k be v(t). Let q be k\/2 - 4\/8. Which is smaller: -79 or q?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28, -53, -80, -109, -140, -173?\n\"Answer: -l**2 - 22*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5924 + 47457\/8. What is the common denominator of c and 3\/((70\/32)\/(-7))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*v + 177*v = 416. Solve 8 - v = -8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 8292 divided by -3.\nAnswer: -2764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-42)*(-9)\/30.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -35620.297 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -18) + 23 - -11 - -55?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3543 + 15079.262\nAnswer: 15079.6163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -14*y**5\/15 + 4*y**4\/15 + 42*y**3\/5 - 92*y**2\/15 - 152*y\/15 + 16\/5 = 0?\nAnswer: -3, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 divided by -2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*2\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -0.28.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-3)\/2)*630\/((-28)\/(-4)). Calculate the greatest common divisor of 333 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12*t**2 + 29*t + 69. Let x(k) = 17*k**2 + 43*k + 103. Let m(a) = 10*q(a) - 7*x(a). Calculate m(9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = 4*z, -2*z - 3 + 1 = 4*m. Let p(i) = 7*i + 5*i - 10*i - 1. Determine p(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/(-22)*(-3)\/24?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 1, p: 3, n: 1, b: 2}. Give prob of sequence pbb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*m - 12 = 0. Let x = 6 + m. Suppose 5*p = -x*p + 20. Sort 3, 5, p.\nAnswer: 3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -570*r**3 + 9*r**2 - 3*r + 7. Let o be v(6). Let d = o - -194807. What is d rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322266 greater than 321718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-3 - (14438\/(-5 + 4) - 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181 + 185. Which is the smallest value? (a) w (b) 3 (c) -0.109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -4 + 6 + -3. Solve 4*w + 5*d + 12 = -5, -5*w + y = d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 3. Let k(v) = 3*v - 7. Let y be k(3). Suppose 2*t + 6 = y*x, 5*x = -2*t + 4*t + 15. Determine o(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -79\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -44, 0, -3, -6.\nAnswer: -44, -6, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**3 - 5*m + 20. Let u(f) = f**3 + f - 4. Let b(c) = 11*u(c) + 2*x(c). Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 + 64*q - 2*q**2 + 0*q**2 - 69*q.\nAnswer: 5*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r**3 + r**2 - 2*r + 1. What is the least common multiple of y(1) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15696 and 391964.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5*o - 3 - 8.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(57)\/sqrt(3) - sqrt(19)) + 3.\nAnswer: -6*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165258 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546889, -1096184, -1645479?\nAnswer: -2194774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -293\/29 (b) 0.5 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4622.3814 + 28.99\nAnswer: 4651.3714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(363)*4 + sqrt(363)).\nAnswer: sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 548*h**3 - 6864*h**2 = 0. Calculate h.\nAnswer: -12, 0, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 404633 (c) -20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 - 5309300*o\/3 + 3523583311250\/3.\nAnswer: 2*(o - 1327325)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5387.\nAnswer: 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 8) to base 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 770 and 4991693.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 85 = -7*j. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1 + m + 0*m**3 + 4*m + 2*m**3 - 3*m. Let s be x(-1). Which is the third smallest value? (a) s (b) -4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11\/38 - -4\/19. Let l be 4\/14 + (-18)\/14. What is the closest to l in 4, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-4))\/(50 - (-11229)\/(-228)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 489 - 34. Let y = -405 + q. What is the smallest common multiple of y and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+3494\nAnswer: 3493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -o - 7, 0 = x - 4*o - 14 - 8. Let b be 5 - (x + 3 + -5). What is the highest common factor of b and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18592392 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82861, -82820, -82779, -82738, -82697?\n\"Answer: 41*t - 82902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -7 + -10 + (13 - (11 + -13)) + -60\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -294 + 232 + (3 - -23)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 3*q + 2*q - 5*q. Let r = 6 - 3. Let h(f) = f**2 + f**2 - r*f**2. What is i(h(v))?\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(-3\/4)*h))*h**(-4\/5))\/(((h**(-6\/11)*h*h)\/h)\/h**(-1\/2)))\/((h\/h**(2\/9))\/(h*h**(-1\/7))*h*(h\/(h\/h**(2\/27)))\/h*h**(-7)) assuming h is positive.\nAnswer: h**(270301\/41580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1112098 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*a = -3 - 32, 2*i + 6 = -3*a. Let y = -162 + 414. Suppose v + i*v = y. Calculate the greatest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711460?\nAnswer: 2, 5, 83, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*d = -18*d - 282. Put -5, d, -69 in descending order.\nAnswer: d, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 4*h**3 - h**4 + 7 + 4 in the form q*h**3 + n*h**2 + u*h**4 + a + d*h and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = -20, 0 = n + 2*y - 11. Solve t - 3 = n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*n**4*q**2*u - 2*n**2*q**2 - 2*n*q**2*u + n*q**2 + 248*n*u wrt n.\nAnswer: 264*n**2*q**2*u - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -231 + 192. Let s = 103 + a. What is the highest common divisor of s and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 0. Let b(p) = 3 - 3*p + c + 9*p - 5*p. What is the lowest common multiple of b(5) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 471 - 469. Suppose -5*k + 22 = -3*t, -t - 4*t = k - 10. Calculate the lowest common multiple of t and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 3*m**2 + 12*m - 2. Let p be x(5). Suppose -13*q = -p*q - 125. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -g - 3*o, 0 = g + o + 16 - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 8 + 27 = -4*s, 5*y = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 559, 1118, 1675, 2230, 2783?\nAnswer: 3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 2\/11 (c) 24 (d) -0.3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11364551*f**4 - 192446*f + 6 wrt f.\nAnswer: 136374612*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13\/5, 1, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*g**4 + 19*g**3 + 3*g**5 + 1944*g**2 + 87*g**4 + 521*g**3 + 2592*g.\nAnswer: 3*g*(g + 4)*(g + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.836411ug to kilograms.\nAnswer: 0.000000003836411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -9, -0.131, 3\/89, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, 3\/89, 0, -0.131, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-8) - (-182)\/1872. Which is the nearest to -14? (a) 0.3 (b) -3\/8 (c) -1\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -46. Let s be (-6)\/4 + (-120)\/j. Calculate the greatest common factor of 54 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/34)\/(2\/(-10)). Let v = 415\/68 - c. Let k = 144\/5 + -3263\/110. What is the common denominator of v and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**3 - 31*n**2 + 12*n + 44. What is c(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2 + 3204*f - 559680 = 0. Calculate f.\nAnswer: 220, 848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4357+0.3\nAnswer: 4357.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16137619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111011010001101 (base 2) in base 13?\nAnswer: 46735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 250, 542, 840, 1144?\n\"Answer: 3*f**2 + 283*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1787 = -253. Let l = 13659\/20 - f. Let t = -83\/6 + 179\/15. Find the common denominator of l and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/14892 and 47\/682788.\nAnswer: 49843524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73462 is divided by 249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/16)*i**(-8\/7)*(i**(2\/21)\/i*i)\/i**11 assuming i is positive.\nAnswer: i**(-3985\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -813.98 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.6 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(-210)*-2 + 342\/2394.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * -2032\nAnswer: 6705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(17) + sqrt(17) + -2 + sqrt(17)) - (sqrt(68) + -4)) + (sqrt(68)*-2 - -2*sqrt(1700)) + -5)**2.\nAnswer: -322*sqrt(17) + 9042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 5*h - 100, 5*w = -5*h + 140. Suppose -g - 5*z + 20 = 0, h = 4*g - g + 3*z. Let c = g + -3. Solve -c*a - 4 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -278*a**3 - 3*a**2 - 4*a - 1. What are the prime factors of f(-1)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 358\/15 + (-44)\/(-330). What is the greatest common factor of a and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-20)\/6)*-3. Suppose 0 = -4*d + 4 + w. Suppose -5*c - 4*q + 28 = -148, 5*q + 185 = d*c. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r - 66*r + 32*r + 170 = 0. Suppose -2\/7*g**r + 18\/7*g - 16\/7 = 0. Calculate g.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11849 and 578.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18 - (-140)\/(-7 + 14). Let v(b) be the first derivative of 1 - 18\/5*b - 21\/5*b**y - 8\/5*b**3. Factor v(g).\nAnswer: -6*(g + 1)*(4*g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -21*i - 458. Let v be k(-22). Solve m - v = -1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1118145 divided by 46\nAnswer: -48615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 8*d + 126*d**2 - 131*d**2. Let g(c) = c. Calculate g(v(k)).\nAnswer: -5*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*c**2 + 865*c**2 - 344*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/((-2)\/10). Suppose -5*h + 43 = -3*p, -7 = -h - m*p + p. Let b(c) = -c**2 + 8*c + 3. Let s be b(h). Solve -s*t + 2*t = 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 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: In base 10, what is -2609654 - 1?\nAnswer: -2609655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((0 + (sqrt(605) - (-1 + sqrt(605) + sqrt(605))) - sqrt(605)) + (0 + sqrt(605))*-6))**2.\nAnswer: -704*sqrt(5) + 154884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 16*h + 5. Let a be m(4). Suppose 3*f - 2*x - 16 = 28, -3*f - 3*x = -a. Calculate the remainder when 52 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17652 - 17643. Let o = 7 + -4. What is the smallest common multiple of d and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m + 23. Suppose 2*h = 2*n + 36, 0 = -4*h + 3*n + 40 + 28. Calculate the remainder when c(-6) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 15*f - 50. Let m be s(5). Solve 6*a - a - m = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 7*u - 476. Suppose 7*a - 4*a - u = 5*n, -4*a = -n - 629. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214950641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 - d. Let k = -3 - -10. Let b = 3 + k. What is the least common multiple of n(1) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64688 and 6630.\nAnswer: 16495440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10865c - -a?\nAnswer: 108668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(2\/((-16)\/(-4))). Suppose -3*a - 2*a - z = -x, 3*x = -3*a + 6. Suppose -3*w = -3*r + 36, -2*w = x*r - 2 - 29. Which is smaller: 12 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzwzzwwz. What is prob of picking 1 w and 2 z?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 32 = -2*b, -3*b + 64 = -3*z + 2*z. Let y = b + -16. Solve -c - 4*x = 4, 4*c + 4*x = 12 - y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 0 + 16 - 27*a + 8 + 32 - 11. What is the tens digit of q(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 - 12*s - 1. Let r(k) = -k**2 + 1. Let t(b) = 3*r(b) - w(b). Let m be t(-4). Solve 0 = 2*d + j + m*j - 20, 5*d + 2*j = 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84 from -2958.\nAnswer: -2874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 68 = 5*m - 76, 2*q - 8 = -4*m. Sort -11, q, -5 in ascending order.\nAnswer: -11, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -205?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:40 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 3. Let n be x(8). Suppose 4*b - 9 - 21 = -3*g, n*b - 39 = -4*g. Calculate the greatest common divisor of 15 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by 1323.\nAnswer: 71\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/52)\/(8\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 10503983.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 436.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2719, -2198, -1677, -1156, -635, -114?\n\"Answer: 521*l - 3240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1556.9 times 29?\nAnswer: -45150.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**3 + 13*j**2 - 9*j - 5. Determine y(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*j - 248 = 0, r + r - 99 = 3*j. Differentiate r*l**3 + 19*l**3 - 940 + 846 wrt l.\nAnswer: 228*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35477 divided by 146?\nAnswer: 35477\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40\/17 - -269\/136. Which is the fourth biggest value? (a) n (b) 3 (c) -0.02 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**6*z*z*z*z**(-2\/7))**(4\/17))**(-1\/52) assuming z is positive.\nAnswer: z**(-82\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 b when four letters picked without replacement from rbdwrrbrdrbddr.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Let y(l) = 12*l**d + 0 + 0. Let u be y(1). What is the greatest common factor of u and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b + 3. Let h be d(4). Let c be h\/(-7) + 2\/(-7). Is 11 a factor of 1\/c + (-900)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5 - 3*m**2 - 18*m + 2*m**2 + 12. Calculate the remainder when 32 is divided by s(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 2 + 1\/1. Let t = -6184 + 6186. Solve -u = t*d, -2*d = -2*u - k*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1000\/360669 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 19*o - 10. Let x be k(-5). Let m be (-14)\/x + (-22)\/30. Which is the third smallest value? (a) 1\/9 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2628 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 23. Calculate the lowest common multiple of d(-11) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**28*z\/z**(-14)*z**3\/((z\/(z\/z**(-14)))\/z))**(-5\/7) assuming z is positive.\nAnswer: z**(-305\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(76)*-1 + -5 - ((sqrt(76) - (sqrt(76)*-1 + sqrt(76))) + sqrt(76) + -4))*1 - (-4*-2*(1 + sqrt(76) + 0 + sqrt(76)) + 5))**2.\nAnswer: 1216*sqrt(19) + 27692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -45, -3, 2, 12 in increasing order.\nAnswer: -45, -3, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -388859 and 3817083?\nAnswer: 4205942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-10))\/(20 - (-1455)\/(-75))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 47 + 174 = 3*o, -4*l = 16. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79f + -8?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {t: 2, m: 2, i: 4, e: 2, u: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + p**2 - p + 8. Let u be g(0). Suppose u*r = 4*r + 16. Solve 4*l = r*x + 7*l + 16, 4 = -x + 4*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**20)\/i)\/i**(-2\/11))\/(i\/i**(1\/6)*i*i*i**10) assuming i is positive.\nAnswer: i**(-2155\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**6\/6 + 38*f**5\/5 + 459*f**4\/4 + 1894*f**3\/3 + 1504*f**2 + 1536*f + 949. Let z(r) = 0. Calculate r.\nAnswer: -16, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/10 - 6\/30. Let p be 2\/l*(12 - 6). Suppose -v = 5*i - i - p, -v = 5. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72050408 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14863, -14842, -14809, -14764?\nAnswer: -14707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101111110110 (base 2) in base 12?\nAnswer: -661a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.877506 to 1 decimal place.\nAnswer: -582.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 10:59 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 14) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*q + 106*q - 25. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 2*y**2 + y - 2. Suppose 0 + 2 = f. Suppose 4*z + 7 = -74*v + 71*v, 0 = -5*z + 2*v + 20. Calculate the remainder when n(f) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 25. Let p be s(-19). Solve -q + 4*f = -13, p = -2*q + 5*f - 10*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 + 924*p**2 + 7611*p - 8532 = 0. What is p?\nAnswer: -9, 1, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -125*n**4 + 10772650*n**3 + 19391055*n**2 + 10341940*n + 1723660 = 0?\nAnswer: -1, -2\/5, 86183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (4 + -6 + (9 - (-1 + 7))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/3 - 181909820*g\/3 + 181909825\/3.\nAnswer: -5*(g - 1)*(g + 36381965)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*o*p**5 + 16*o*p**3 - 77*o*p**2 + 29154*o*p - 2*p wrt p.\nAnswer: -480*o*p**3 + 96*o*p - 154*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/70 + x**6\/120 + 77*x**4\/24 + x**2 - 19*x. Find the second derivative of a(y) wrt y.\nAnswer: 36*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828294.04 rounded to the nearest ten thousand?\nAnswer: 1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -48. Let w(j) = 12*j**2 + 15*j + 3. Let u(q) = -3*q**2 - 4*q - 1. Let l(y) = h*w(y) - 9*u(y). Factor l(m).\nAnswer: 3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-860)\/(-54) + (-6208)\/388?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (60\/24)\/((-1)\/(-2)). Let i(b) be the third derivative of b**4\/12 - b**3\/6 - 3*b**2. Let t be i(c). Let f(z) = -z + 4. Determine f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20113991 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 7\/2*t**3 + 33*t + 0 - 2\/5*t**6 + 3*t**2 + 3\/4*t**4 - 6\/5*t**5. Suppose p(j) = 0. What is j?\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*-2) + sqrt(110))\/sqrt(10) + 6*(sqrt(44))**2.\nAnswer: 4*sqrt(11) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -13*o + 19*o. Let i(t) = -2*t + 2. Let c be i(2). Let b be -1 + c + 1 + o. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -232 + 232*s + 7859*s**3 - 1853735*s**2 + 1853735*s**2. Let x(w) = -169*w**3 - 5*w + 5. What is 232*x(r) + 5*z(r)?\nAnswer: 87*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {f: 4, z: 2, p: 1, r: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 10*c**2 + 6*c - 1. What is the lowest common multiple of a(-11) and 20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -198*q + 10883. Let h be b(55). Let s(c) = -c**3 - 8*c**2 - 34*c - 185. What is s(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**6\/72 - 52*m**3\/3 + 104. Let b(q) be the third derivative of n(q). Let l(w) = -18*w. Give l(b(o)).\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -61. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 69*b**2 + 3*b - 3*b. Let i(j) = -j - 4. Let t(o) = -8*o - 36. Let y(a) = -9*i(a) + t(a). Determine y(w(r)).\nAnswer: 69*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 461000 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5707, 2, -4, -13.\nAnswer: -5707, -13, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1923*u**3 + u**4 + 3*u - 3822*u**3 + 1962*u**3 - 3 to the form a*u**3 + p*u**4 + l*u**2 + i*u + o and give a.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 2. Suppose 3*n - 13 = 4*d + 9, 3*d + 18 = 3*n. Suppose 2*t + 2*a = -n - 4, 4*t - 5*a + 12 = 0. Determine o(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 15) in base 11?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-1 - ((6 - 3) + -5 - 3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 411503056195 and -13.\nAnswer: 411503056182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 - 86. Let v = 43.00000076 - r. Round v to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**3 + 40*t**2 - 11*t + 11. What are the prime factors of b(-6)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97*0.02.\nAnswer: 1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -35. Let x(a) = -a**3 + 5*a**2 + 2*a + 3. Let f be x(6). What is the units digit of n\/((-28)\/(-8)) - f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2889*m**2 + 108*m - 1129. Is f(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 6*c**3 - 3. Let u(t) = -10*t - 5122 + 2578 + 2544. Give u(p(l)).\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 631151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 781 and 121.\nAnswer: 8591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let y be (-4 - h)\/(3*-3). Let a = -157\/2 + 76. What is the smallest value in a, y, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 4. Suppose -3*y - 2*h + 19 = -0*y, -5*h = x*y - 37. Suppose -z + y = -5. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**3*t + 268*i**3 + 2558*i**2 + i*t + i + 24783*t - 19 wrt i.\nAnswer: -18*i*t + 1608*i + 5116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482 = -1607*c + 1408*c + 2304 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 16*r + 30. Suppose 16 = 2*p - 2*n, -5*p = -8*p - 3*n + 6. Let b(a) = a + 9. Let m be b(p). Let t be f(m). Solve -2*u - 6 - t = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 19*s**7\/42 - 23*s**4\/12 + 28*s + 2. Let r(h) be the first derivative of y(h). Find the third derivative of r(b) wrt b.\nAnswer: 1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5407 + 5396. Let w(o) = -2*o + 15. Let y(l) = -l + 8. What is m*y(z) + 6*w(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 15.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436949.9g to nanograms.\nAnswer: 436949900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -23*o - 8*o. Let v(d) = 2972*d**2 - 8*d + 13. Is v(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40217 - 40215. Let 4\/3*u - 2\/9*u**r - 10\/9 = 0. What is u?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34451.98 years to decades.\nAnswer: 3445.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183308.2363 - 0.091671.\nAnswer: -183308.327971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:38 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -258 (b) -2 (c) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6327 and 80586?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/19 + 90*f**2 - 13776*f\/19 + 27616\/19.\nAnswer: 2*(f - 4)**2*(f + 863)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 1. Let m be 1*1*(-2 - -9). Let x be j(m). Let k be (105\/x)\/5 + 2. What is the smallest value in k, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.306 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 56075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a - -279515?\nAnswer: 279487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, 7, 0.3, -0.4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -63 and -949927480.967?\nAnswer: 949927417.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189283, -378474, -567439, -756064, -944235, -1131838, -1318759, -1504884?\nAnswer: -1690099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3206 - 2032. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (5 - (9 - 8)) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8233\/4 - 2059. Let h = 0.029 - 0.089. Let f be -9*(-2)\/(-4) - -2. Put i, f, h in descending order.\nAnswer: h, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9802 + -2?\nAnswer: -9804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 348892154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 4. Let u be m(-5). Let r be ((-16)\/12)\/(4\/90). Let y be (-154)\/r + 4\/(-30). Put y, -2, u in descending order.\nAnswer: y, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 2*j + f, -f = -3*j. Solve j*o + 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 3*n**7\/5 + 7*n**4\/3 + 689*n**2. What is the second derivative of c(f) wrt f?\nAnswer: 1512*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. What is the third derivative of -i**3 - i**3 - i**f - i**2 - i**2 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 21 + 9)*(0*l + l + l).\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 10008*d**3 + 25050021*d**2 + 50060018*d.\nAnswer: d*(d + 2)*(d + 5003)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 12*w**4 + w**2 + w**2 + 11*w - w**3 - 11*w + 2 - 109*w**4 as l*w**3 + p + k*w**4 + v*w**2 + n*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 1. Let q(r) = -4*r**2 - 3. Let j(u) = -3*a(u) - q(u). Let n(c) be the second derivative of c**3\/3 + 4*c - 6. Calculate n(j(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f**3)*(0 + 0 + f**2) + 0*f**3 + f**5 + 0*f**3 + 3*f**5 - 5*f**5 + 0*f**5 + (2*f**4 + 35*f - 13*f**3 - 33*f - 3*f**4)*(f + 4*f - 4*f).\nAnswer: -4*f**5 - 13*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 - 179. Let j(y) = -y**2 - y - 1. Determine j(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1656)\/782*(-595)\/15?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 202.91611 * 7\nAnswer: 1420.41277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 3*o**2 + 254 - 73 - 181.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-18)*-1*51*(-20)\/30.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 12*k + 120, k = -9*k - 28 + 24 - 96 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 22 = 1. Let o(s) = -13*s + w - 8 + 2*s. Let v be o(-1). Calculate the highest common factor of 110 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2\/2) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 28*a - 17*a - 52 + 188 + 4*a**2.\nAnswer: 4*a**2 - 45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**4 - 12*g**3 - 7*g**2 - 9*g + 5. Let q(s) = 10*s**4 + 30*s**3 + 18*s**2 + 22*s - 12. Let p(k) = -5*q(k) - 12*t(k). Factor p(a).\nAnswer: -2*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 23 + 3 - (-11 - (-1 + -3)) - 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {e: 1, k: 7, o: 4, d: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/96 + (-2)\/8. Let h = m + 31\/48. Suppose n = -n - 5*o - 18, 4*o + 16 = 0. Which is the nearest to 0.2? (a) n (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*g + 18*g - 80 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) + (-48)\/21. Let m be (-10 + -4)*1\/c. Suppose -2*w = -4*l + 4, -2*w - 4 = -m*l + 2*l. Is -1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/240645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 5*(1 + sqrt(637)) + sqrt(26)\/(5*(sqrt(2) + sqrt(2)*-2)))*6.\nAnswer: 168 + 4176*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*i + i**2 + 256*i - 123*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*i**3 - 693*i**3 - 69*i - 112*i - 4*i - 127*i wrt i?\nAnswer: -3762*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67580*17\nAnswer: -1148860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 0.1041, -131 in increasing order.\nAnswer: -131, -4, 0.1041, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2696, -2636, -2580, -2528, -2480, -2436, -2396?\nAnswer: -2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/3 - 1109*n**3\/3 + 62770*n**2\/3 - 287800*n + 840000 = 0 for n.\nAnswer: 4, 15, 40, 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 189?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -180, -463, -974, -1779, -2944?\n\"Answer: -11*u**3 - 15*u**2 + u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5 + 452682*d**4 - 1810569*d**3 - 16748586*d**2 - 30781452*d - 16296120 = 0.\nAnswer: -2, -1, 9, 150890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14433)\/18 - 4\/24. Calculate the common denominator of -4*x\/448 - 4\/14 and 31\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by (1 - -1)*(-16)\/12*-12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0 - 7*p**2 - 1\/4*p**4 + 0*p**6 + 0*p**3 + 0*p**7 + 1\/168*p**8 + 0*p + 0*p**5. What is the second derivative of c(x) wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1871.539 - -1795.44. Let u = 230 + -154. Let b = x + u. What is b rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237243205?\nAnswer: 5, 269, 176389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/15 + 0 + 2888\/12. Let h = l + -235. Let c(y) = -4*y - 4. Let v be c(-3). Solve -2*g + h*d + v + 1 = 0, -4*g + 6 = 2*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 255, 393, 531?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1957, -82, 204, -4 in ascending order.\nAnswer: -82, -4, 204, 1957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 75*k - 1691. What are the prime factors of f(93)?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - c = -h + 671, 2*h + 2*c = 450. Suppose -241 = -5*f + 2*r, 4*r + 1485 - 1363 = 2*f. What is the remainder when h is divided by f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 290\/(-15). Let c = -8 + p. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, h: 2, g: 10}. What is prob of picking 1 h and 1 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 261*(-4)\/4. Let n = 129 + -209. Let i = n - y. List the prime factors of i.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 15*g**2 + 53*g + 23. Determine i(-5).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -258218 + 4\nAnswer: -258214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*g**3*p - 3694*g**3 + 1262171*g**2*p wrt g?\nAnswer: -108*p - 22164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1, 0.06, 0.118, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2. Let q(o) = -o - 3. Let h(x) be the second derivative of 5*x**3\/6 + 13*x**2\/2 + 28*x. Let n(w) = -6*h(w) - 26*q(w). Give n(b(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 9, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284 - 284 + 6*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 710580*g**2 + 710575*g**2 + 4 - 1421135*g**2.\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -3471901\/128 + 244117\/9. Find the common denominator of 79\/128 and d.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 + -112. Suppose -2*b + l = -309 - 152, -c*l = 5*b - 1148. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 7. Suppose -2*h + h = -8. Let a be q(h). Are a and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1752\/(-6))\/(-2) + -6. Suppose -5*r - 4*l = -d, 4*r - 36 = 2*l + 76. Solve -r = -3*g - 4*x - x, g + 19 = 4*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -h + 5*b + 14, -2*h - 4*b - 12 = 0. Let y = 9 - 9. Suppose y = -2*l - 2*l + 176. Calculate the greatest common factor of l and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-8)*-6)\/((-33)\/(-132)). Let a(h) be the second derivative of 2\/3*h**2 + 0 - 21*h + 1\/36*h**4 - 5\/18*h**b. Suppose a(o) = 0. What is o?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000397334 to seven dps.\nAnswer: -0.0000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -559 + 707.96. Let l = -149 + q. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5 + 3 = 0. Let u(z) = z**3 + 2*z**2 + 2*z + 1. Suppose -2 = -0*q + 2*q. Let y be u(q). Solve -p - 7 + v = y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 - (-53024)\/(-18). Let f be (304843\/(-9))\/(-7) - (-76)\/342. Let i = g + f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven halves of a microsecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 + 2*t - 4. What is the tens digit of z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 556 - 555. Suppose 14*d = -r + 183. Calculate the least common multiple of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52096867309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1361 - -2.01.\nAnswer: 1363.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 3*n + n - 4*n + 14*n.\nAnswer: -2*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -607 + 1059. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -2\/11, -3\/5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1472809*k. Let h(d) = -4*d + 16. Determine h(p(x)).\nAnswer: 5891236*x + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3033120589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132843602499 + -4?\nAnswer: 132843602495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3*(sqrt(425) + -4*sqrt(425)) - ((-3*sqrt(425) - sqrt(425))*4 + 0)) + 3)**2*2.\nAnswer: 1000*sqrt(17) + 531258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/115)\/(17 + (-1376)\/80))\/(-1)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 87, 15, 3, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let m(z) = 4*z**3 - 31*z**2 - 5*z - 10. Let c be m(8). Suppose 0 = 4*n + 2*h + c, -g*n + 0*n + h = -3. Put n, 7, 2, 1 in ascending order.\nAnswer: n, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*z - 3*p, 47*z + 234 + 51 = -p for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53.9 + -54. Let r = -3 + 3.5. Let q = 0 + -0.5. What is the closest to v in r, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 1\/2 (c) -2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*h + h + 2*c, 20 = 4*h - 4*c. Let y be h*-2*(-3)\/18. Suppose 0 = 3*a - 4*a + y. Are 2 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1323301?\nAnswer: -1323303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 9*w**2 - 9*w + 10. Let o be t(8). Suppose h - 3*i - 41 = 0, -o = -4*i + 3*i. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-5 + 3)*-1). Suppose -5*g + 2*c = 6, 2*c - 7 + 1 = k. Solve a + 9 = -3*j, g = -a - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 + 1 = q, -4*q = b - 6. Let n(t) be the third derivative of t**6\/60 + t**3\/6 + 18*t**2. Is n(b) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-7)\/2)\/(84\/224). Solve 8*k - p*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 2. Let c be 119\/35 - 2\/5. Suppose -2*q + 5 = c. Let m(a) = -4*a + 4. Let i(v) = v - 1. Determine l*i(b) + q*m(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:28 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23323 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2497, 5109, 7725, 10345, 12969, 15597?\n\"Answer: 2*j**2 + 2606*j - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9977 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: Suppose -o + 1395 = 3*l + 4*o, 2*l = -5*o + 935. Let s be l\/45 + 4\/(-18). Calculate the greatest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2\/7 (c) 0.072 (d) 2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 2*p**2 + 0*p + 0 + 3\/2*p**3 + 5\/8*p**4 + 3\/40*p**6 - 11\/20*p**5. Find i, given that n(i) = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 14\/73, 2, 4?\nAnswer: 14\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6)*2*9\/6. Let t be y\/(-9072)*-6661 + (-48)\/84. Let c = t - -2\/81. Are c and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22252 (base 9) to base 7.\nAnswer: -61055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -42\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 908236.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33182579411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 252097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*(-6)\/(-54)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*y - 13. Let q = -7 - y. Suppose -n - q = -7, 34 = 4*c - 2*n. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, 0.5, 7928.7, 2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - 191\/7. Let o = m + 43. Differentiate 12*f + 14 - 21 + o - f with respect to f.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 54.56 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.49 + 4.3. Let v = 0.18991 + k. What is v rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1021033201?\nAnswer: -1021033211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -28, -32, -30, -22, -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-218)\/654*(-6)\/40*6.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12.20929 millennia?\nAnswer: 12209.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 + 5*q**3 - 201*q**2 + 1135*q - 1900 = 0 for q.\nAnswer: -19, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 14 = -2*j. What is the nearest to 1\/2 in j, 0, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from www. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**4 + b**3 - b - 1. Let r(u) = 3*u**4 - 2*u**3 + 3*u**2 + 4*u + 4. Let x(d) = -4*h(d) - r(d). Suppose x(o) = 0. Calculate o.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14258 - 52052.\nAnswer: -37794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 605 (c) 0 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 0*f + 12*f + 16 = 0, 5*d + f + 42 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 679 + -664. Let i = 22 + -15. Calculate the smallest common multiple of a and i.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3689647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12997360751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 9*g + 13. Let a be j(-10). Is 15 - 1\/3*a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 21. Let z(r) = -r**3 - 3*r**2 - 2*r + 6. What is the remainder when z(n) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -32*p + 16. Let k be g(4). Let v be (-2)\/(-9) - k\/63. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2146 and 2?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose a*l - 3*u = -5*l - 24, u + 8 = -l. Let g be ((-20)\/l)\/((-2)\/(-6)). Solve -2*v = g - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -202*i**3 + 15*i**2 + 2. Let w(f) = 1211*f**3 - 85*f**2 - 11. What is 34*l(b) + 6*w(b)?\nAnswer: 398*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -722630 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (408\/170)\/((2\/(-4))\/(10\/4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/95 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*-4)\/(-2))\/(2\/64*-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/3 + 50*k\/3 - 56 = 0. Calculate k.\nAnswer: 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -2. Factor 2*h**4 + 8 - 5*h - 14*h**3 + 26*h**2 - n*h + 2*h**3.\nAnswer: 2*(h - 2)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158743 times -1?\nAnswer: -4158743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*-9*(-3)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 10*m - 47)*(40 + 48 - 110)*(3 - 2 - 3 + (-1 + 1 - 1)*(0 + 0 + 2) - 4 + 5 - 2).\nAnswer: -1100*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1912, 3820, 5728?\nAnswer: 7636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(4000)*1)\/(sqrt(40)\/(sqrt(5) + 1*sqrt(5)) - (sqrt(800) + (sqrt(800)*2 - sqrt(800)) + sqrt(800) - sqrt(800))).\nAnswer: -100*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -172967\/4378 - -18\/2189. Let l = 19128\/7 - 2737. What is the common denominator of b and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 45*z + 168 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.05. Let n = 0.85 + l. Let w = -95 - -94. Put w, -0.4, -6, n in descending order.\nAnswer: n, -0.4, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22202222222 (base 3) to base 15.\nAnswer: 362d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*u + 49 = 41, -6 = r + 3*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let a be (-3)\/12 + (-44)\/(-112). What is the third biggest value in a, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 7*h**2 - 7*h**2)*(-2 + 1 + 2) + 1 - 21*h + 2*h**4 - 24*h + 14*h.\nAnswer: -2*h**4 - 31*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.701 - -0.299. What is the closest to 0.3 in d, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.21, 1.34, 0.4, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 20 - 118. Let w = -258 - -263. Suppose w*d - q = 114. Solve -2*t + d - 11 = 5*n, 0 = -t + 2*n - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00186437414 to five dps.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23\/5*w - 14\/5 - 2*w**2 - 1\/5*w**3 = 0. What is w?\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z + 0*z**3 - 28 - 1\/2*z**4 - 7\/2*z**2. What is the second derivative of o(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/9*1\/(-1). Let j(p) = 8*p + 7 + d + 1 + 2. What is the units digit of j(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 8*g**2 + 8*g**2 - g**3 + g**3 - g**3 + (5*g**2 - 2*g**2 - 4*g**2)*(0*g - 3*g + g) - 4*g + 4*g + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30185 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29070 and 107780.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1617*x + 34554 + 74384 = -25273 for x.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*c + 3*n, 0*c + c = 2*n + 12. Suppose 0 = -c*p + 27 + 37. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) -3\/34 (c) -2 (d) -1.81 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g**2 + 2*g**3)*(88*g - 88*g + 120*g**2 + (-2 - 2 + 3)*(3*g**2 + 5 - 5)).\nAnswer: 234*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-2)\/6*0. Suppose 0 = -3*f - 3*p + 27, m*f - 36 = -4*f + p. Let h(n) = 16*n - 30. What is the tens digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(0*n**4 - n**4 + 0*n**4) + (8*n - n - n)*(1376*n - 115*n**2 - 1376*n)*(0 + n + 0)*(1 - 6 + 0).\nAnswer: 3448*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 + 13 = -5*r. Let u = 65 - r. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 + 296. Is 37 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, q: 1, d: 1, u: 2, r: 1}. Give prob of picking 1 d and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 49167800*y - 120873627842000.\nAnswer: -5*(y + 4916780)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6076)\/(-1085)*10\/(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -743\/348 - -45\/29. Find the common denominator of 26\/21 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w + c, 2*w - 5*c - 2 = -w. Let r(b) = b + 3. Let h be r(w). Solve 3\/4*u**3 - 3\/4*u**h - 3\/4*u + 3\/4 = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 6345.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1650*l**4 - 2*l**2*q**3 + 2*l + 17117*q**3 wrt l?\nAnswer: -6600*l**3 - 4*l*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 44*i**2 - 84*i - 96. Let m(k) = -16*k**2 + 28*k + 32. Let t(d) = -8*m(d) - 3*w(d). Find g, given that t(g) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 148338.24 months?\nAnswer: 12.36152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 71*b**4\/4 + 2667*b**2. Let q(h) = 6*h. Determine t(q(i)).\nAnswer: 2556*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 2*f + 4*f - 49100 + 49100 - 113*f + (-4*f - 5 + 5)*(3 - 3 - 1) to the form y*f + t and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 201*u**2 + 3480*u + 53. Calculate n(-16).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -z - 0 - 2, -4*c = -z - 2. Let i = 12 - c. What is the lowest common multiple of i and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.61*-3.4\nAnswer: -5.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1813 and 343?\nAnswer: 12691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7695 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxpxtp. Give prob of picking 1 t, 1 m, 1 p, and 1 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56639.87 millilitres?\nAnswer: 56.63987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 9966252*p**3 + 5*p**2 + p**2 - 13*p**2 + 9966253*p**3 + 2*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732 is divided by 2146\/6*33\/55 - (-10)\/25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9083427 and -9446.033?\nAnswer: 9092873.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*z - 143 = -165, 2 = -2*k - 3*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m**3 + 2*m**2 - 22*m - 39. Let g(t) = -9*t**3 + t**2 - 10*t - 20. What is -13*g(o) + 6*x(o)?\nAnswer: 3*o**3 - o**2 - 2*o + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 173228 and 6138?\nAnswer: 1559052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let y be (-190)\/(-45) + 2\/(-9). What is s(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 + 102130012?\nAnswer: 102130313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283 + 163. Let j be (-288)\/w*(-10)\/(-4). Solve -5*k + 2*f = -21, 3*k - f = 2*k + j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*m - m + 35, 0 = -3*r + m + 10. Solve 0 = l - r*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + 9 - (-12 + 1). Suppose l = 2*n + 4. Suppose 2*i = 2*t + 6*i + 12, 5*i = -3*t - 13. Solve -n*j = -4*j - t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385786 and 135809.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + q**2 - q + 10. Suppose 18*a = -a. Let m be r(a). Calculate the greatest common factor of 490 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 1 k when three letters picked without replacement from jsrvssrrskzrssjjsrzs?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + 6*((sqrt(108) - -1*sqrt(108)) + -2 + sqrt(33)\/(sqrt(44)\/(sqrt(4)*-3))))**2.\nAnswer: -864*sqrt(3) + 8817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60047185 is divided by 116.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2442051854 is divided by 3173.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1261 + -1254.53. Let i = y - 6.1. Let t = i - 0.07. Sort -3\/5, -2, t in ascending order.\nAnswer: -2, -3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3.22. Let o = c - -0.21999955. Round o to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36885712 to the power of 1\/2, to the nearest integer?\nAnswer: 6073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3925467.5 less than 1123?\nAnswer: 3926590.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -64*u**2. Let k(s) = 3*s. Determine w(k(d)).\nAnswer: -576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -4. Let n be 0 + (-2 + 26)*y. Let z = -71 + n. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 147, 316, 645, 1188, 1999?\nAnswer: 3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 - 37 = -6*q - 10 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 152 = 5*p + 167, 3*p = -4*m - 9. Solve m = -2*s - r - 2, -27 = 5*s + 2*r - 23 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 8. Let s(f) = 4*f - 8. Let k(r) = -5*l(r) - 4*s(r). Give k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4 - 116. Let j = 103 - q. Let u = j + -4. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3 - 15040*r**2 + 11821980*r + 71472240 = 0. Calculate r.\nAnswer: -3654, -6, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17290132 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)\/w)**(-27)*w**(-1\/3)\/w**(-6\/5)*w**(-3)\/w*w**(2\/9)*(w*w**(1\/6))\/w**(-2\/3) assuming w is positive.\nAnswer: w**(11471\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2688, -10742, -24164, -42954, -67112?\n\"Answer: -2684*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 - 7*d + 9. Let a be v(-8). Let c be (a\/2)\/(1\/(-7800)). Round c to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2 = -4. Let s be w\/(2\/(-4))*(25 + -26). What is the third derivative of 3*l**2 - 3*l**s - 15*l**4 - 10*l**2 wrt l?\nAnswer: -360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 179091, 358182, 537273, 716364, 895455?\n\"Answer: 179091*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6, -2*m + 13 = 3*m - a. Suppose -3*j + 3 = -0*j. Let y = 3 + j. Solve -m*z = -y*z, -p - 1 = -z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7259, -0.4, -3, 2\/13, -5, 1\/4 in ascending order.\nAnswer: -5, -3, -0.4, 2\/13, 1\/4, 7259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, 3, 4, 4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a9200 (base 11) to base 3.\nAnswer: -22110222110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -129843, -256636, -383431, -510228, -637027, -763828?\n\"Answer: -o**2 - 126790*o - 3052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19919579 - -490.32824579. Let x = d + -0.02905. Let g = -458 + x. What is g rounded to zero decimal places?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6713607209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 4)*(b - 10*b + 0*b) as n + g*b and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (0 + -9 + (-54 - 4) + 54).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9382 is divided by 495?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33565 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0079166 to 4 dps.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0014 * 0.5\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 101?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.5 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -82, -205, -374?\n\"Answer: -23*o**2 - 8*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567 and 550719.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(7\/(-2)))\/4)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 356946085 divided by -71389217?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92*i**2*j + 689*i**2 + i*j - 22*j + 339825 wrt i.\nAnswer: 184*i*j + 1378*i + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 - (8478\/(-30) + -5). Calculate the highest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -26, -46, -74, -110, -154?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 174*f**2 - 53*f - 330. Does 64 divide d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i**2 + 5*i + 3. Let a be k(-5). Suppose 7*t - a = t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1577 - -1579. Let a(v) = 19*v**3 - 2. Let d(j) = 132*j**3 - 15. Calculate i*d(f) - 15*a(f).\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 3*p**2 - 4*p**2)*(-3 - 18*p + 18*p + 3*p**2).\nAnswer: -21*p**4 + 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4232 and 240.\nAnswer: 126960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2978*z - 1489*z - 1490*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 269.5*8\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**3 + z**2 - 6*z - 9. Let w(x) be the third derivative of x**6\/120 - x**4\/24 - x**3\/6 + 1178*x**2. Calculate 6*w(k) - y(k).\nAnswer: -2*k**3 - k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 10, m - 96*s + 101*s = 33907. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + 1*sqrt(120)*-4)\/sqrt(2))\/(sqrt(300) + (sqrt(300) + (sqrt(300) - 1*sqrt(300)))*6).\nAnswer: -3*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 31. Let i be n(-27). Suppose 10*y = i*y + 21858. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 24.6. Let j = 62\/7 - 200\/21. Which is the nearest to -0.1? (a) k (b) 2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36171801 and 1.\nAnswer: 36171801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbrbvsvbvrvvrvjsvr. What is prob of picking 2 v, 1 r, and 1 b?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 137785*k**2 + 137783*k**2 - 62.\nAnswer: -2*k**2 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/9 + 4*v**4\/9 - 2*v**3\/9 - 4*v**2\/3 + v = 0. What is v?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 232\/(-290) - (-2 + (-95)\/(-50))*3. Let k be ((-5)\/(-3))\/(1\/(-12)). What is the third smallest value in 1, w, -3\/2, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven halves of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 (base 8) in base 11?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 1, g: 4, q: 5}. Give prob of picking 1 t, 1 q, and 2 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2817.\nAnswer: 14085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = 3*w, 5*s = 5*w - 3*w + 51. Suppose -170 = -s*u + 6*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 0.05. Let u = 3 + -9\/4. Let v = 3 - 3.4. What is the nearest to j in v, 3, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62385 - 62293. Let s = 5 + 12. Calculate the remainder when r is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -90b6?\nAnswer: -90b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220112 + -121?\nAnswer: 212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1302 and -169\/3360?\nAnswer: 104160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -21. Suppose -5*z - u = 4*u + 180, t = -4*u + 8. Find the common denominator of 38\/7 and z\/209 - (-1000)\/(-66).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 15*h + 21. Let t be 12 - ((-54)\/3)\/(-3). Suppose 19 = t*p + 115. Give i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18138.1 + -18138. Let f = 0 - -4. What is the closest to f in -5, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -76\/3*j**2 + 0 + 4\/3*j**3 - 88*j = 0.\nAnswer: -3, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 - 2185607?\nAnswer: -2185608.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 + 101. Let u be (-6)\/(6\/(-5)) + 0. Suppose -u*o - t = -22, 0*t + f = 4*o - t. Solve -2*l = -o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10736, 21513, 32290?\nAnswer: 43067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 6. Let s be q(5). Suppose 14*f - s*f = -394. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-7) - -2)\/((-2040)\/(-252) - 8). Let c(a) be the first derivative of a**3 + a**2 + 7*a - 1. Let x(m) = -7*m**2 - 4*m - 15. Give l*x(j) + 13*c(j).\nAnswer: -3*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110998 is divided by 1709.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - r**2 - 3*r - 6. Let l be y(-2). Suppose 6*n - 422 = n - l*g, -5*n = 2*g - 426. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22946, -45873, -68798, -91721?\n\"Answer: n**2 - 22930*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 66 = -2*t, 3*t + 3*h = 5*t - 42. Let x be (t\/(-15))\/(4\/(-20)). Suppose x*c - 7*c - 50 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -22. Let h = r - -65. Suppose h = -7*w + 4*w - 5*l + 547, -5*w - l + 919 = 0. Is w a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-40)\/16 - (6 - (-108)\/(-16)))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -8.9?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + n + 2*n)*(33938 - 9*n**2 - 33938) to g + k*n**3 + c*n + d*n**2 and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 4.76217.\nAnswer: 11.905425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, -60, -5, -2 in ascending order.\nAnswer: -60, -5, -2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 34*y + 68. Let i be t(7). Let x = i - -1716. List the prime factors of x.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*y = -19 - 14, 3*n + y = 49. Calculate the remainder when 53 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13460755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 1. Let t = 9 - a. Let b(h) = 2*h**3 - 2 - 2*h**2 + 0 - h**3. Give b(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-1)\/(-2) - 0). Let r = -1 - -3. Let u be -2 + (r\/17 - -2). Sort 1, d, u.\nAnswer: d, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33830876, -33830880, -33830886, -33830894?\nAnswer: -33830904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63 - 1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29491*b = -29473*b - 127 - 125 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002333072347 rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + -1 + sqrt(605))**2 - 6*(-1*sqrt(5) + 1 + sqrt(5) + 4).\nAnswer: -22*sqrt(5) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2915*b**3 - 4154*b**3 - 537*b**3.\nAnswer: -7606*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -3 - (-2 + 0 + -6 + 12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/3, -0.2, 3 in increasing order.\nAnswer: -1, -2\/3, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130416 and 456456?\nAnswer: 912912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281210.\nAnswer: 2, 5, 61, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.21 + -0.79. Is m greater than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3248 = -54*q - 3278, 5*q = -t - 37 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -2*w - 3*w. Let g = -12 - w. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.396 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 - -4. Let f be -6*(-5)\/(45\/6). Suppose 12 = 4*x + f*z - 2*z, 0 = 4*z. Sort s, x, -4.\nAnswer: -4, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289132*s - 313020 wrt s.\nAnswer: 289132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -3*j**2\/2 + 1861. Suppose -2 - 2 = -2*k. Let c(l) = -5*l**2 - k*l + 2*l. What is y(c(u))?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**3\/4 - 695*m**2\/2 - 85545*m\/4 - 42075\/2 = 0.\nAnswer: -51, -1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 47 + 8. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -5*j**4\/2 + j**3\/3 + 121*j**2\/2 + 111. What is the second derivative of a(m) wrt m?\nAnswer: -60*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {n: 10, p: 4, m: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 11349*r + 3701010 = 0 for r.\nAnswer: -4085, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + -124 + 103 + 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 791 - 391. Suppose -6*u - 64 = -y. Let f(w) = 2*w**2 + 3*w - 2. What is the remainder when u is divided by f(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from fwlfshl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.4 - -8.8. Let l = -42 + i. Let t = l + -0.1. Put t, 0, 1 in increasing order.\nAnswer: 0, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16*s + 50. Does 3 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*g = 816*g + 1155*g - 205200 for g.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 15*x - 14.\nAnswer: -(x + 2)*(4*x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101 - 30368\/(-312))*-30.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/4 - 681*g**3\/2 + 155943*g**2\/4 - 76953*g + 38307.\nAnswer: 3*(g - 226)**2*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -10.24. Let l = p - -0.2512. What is l rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52709748.\nAnswer: 2, 3, 7, 13, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 89 - -18 - -3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Suppose -i = f*o - 3, -3*o - 9 = -5*i + 6. Solve 0 = -4*s + i*m + 24, 3*s - m - m - 17 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 + -106 + (-20 - -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 54786, -4, 8906 in decreasing order.\nAnswer: 54786, 8906, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 + 997*l + 35373. Calculate a(-47).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4017 - 123 = 230*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -401*s**7\/105 - s**6\/24 - s**5\/60 - 379*s**4\/4 - 3*s**2 + 39*s + 42. What is the third derivative of l(c) wrt c?\nAnswer: -19248*c - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1140, 4685, 10634, 18987, 29744?\n\"Answer: 1202*a**2 - 61*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 0*a**3 - 1\/12*a**4 - 16*a + 0 + 0*a**2. Let b(t) = 1. Let u(s) = s - 3. Let x(w) = 3*b(w) + u(w). Give g(x(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**4 - b**3 - b**2 + b + 1. Let z(d) = -6*d**4 - 18*d**3 - 399*d**2 + 18*d + 18. Let a(m) = 18*t(m) - z(m). Find the third derivative of a(x) wrt x.\nAnswer: -288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(3\/4)*p*p)**(-25))**(3\/38))**(4\/7) assuming p is positive.\nAnswer: p**(-1125\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 + 2714020*j - 920738070050 = 0. What is j?\nAnswer: 678505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151.13 + -151. Let i = 3.17 + y. What is i rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2205 and -103\/2455880.\nAnswer: 22102920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.35 - 1.26. Let y = f - -98.91. Let j = 100.000084 - y. Round j to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**2 + 4*b + 7. Let m(r) = -7*r**2 + 5*r + 8. Let t(u) = 5*m(u) - 6*q(u). Let y = 17 - -10. Calculate the remainder when t(-4) is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064306 a multiple of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -676 + 23085. What are the prime factors of t?\nAnswer: 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174)\/116)\/((-39)\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -7.5 (b) -0.092 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 - 208*j + 789. Let u be d(66). What is the greatest common factor of 138 and u?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -25*i**3 - 2*i - 1. Is n(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n = 5*u - 51, -9 = -3*n. Solve -2*z - u = -5*k, k = -z + 5*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/21? (a) 5\/6 (b) -4315 (c) 2\/3 (d) 0 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6701.905km?\nAnswer: 6701905000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1098 and 30933222.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12739.\nAnswer: 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1750*t - 1746*t + 17 = -5*l, 9*t + 22 = 5*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 - -138.9709.\nAnswer: 138.6509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6, 2, -18493 in ascending order.\nAnswer: -18493, -6, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82bafa + 2?\nAnswer: 82bafc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/11 + -10*27\/990. Let h(j) = 15*j**2 + 7*j + 1. Let c(i) = 22*i**2 + 10*i + 2. Determine q*c(r) + 7*h(r).\nAnswer: -5*r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -837881 and 500.\nAnswer: -418940500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1238*g - 93. Let v(y) = 2*y. Determine v(l(x)).\nAnswer: 2476*x - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -387.36 + 267.67. Let n = d + 119. Round n to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.32 + 2. Let k = p + 0.02. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.562 - -3.162. Let i = -0.12 + 9.12. Which is the closest to -1? (a) i (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/9)\/(6\/(-9)). Let v(g) = -j*g - 2 + 2 + g**2 - 2. Suppose -16 = 22*n + 50. Determine v(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5 - 15. Suppose -2*z - y = -5*a - 50, 3*a = 3*z - 60. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.100885666 times -9\nAnswer: -0.907970994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4570010?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + 10370\/2745*(-18)\/4 + 155?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*p**15*p))**(4\/21)\/(p*p**(-3\/10)*p*p**(-11)) assuming p is positive.\nAnswer: p**(1313\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -3565\/148?\nAnswer: -3565\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -497\/3 + 167. Factor c**4 + 8\/3*c**3 + o - 4*c - c**2.\nAnswer: (c - 1)*(c + 2)**2*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004811855 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414 - 2042201?\nAnswer: -2043120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/6 + 19*j**2\/3 + 70*j\/3 + 68\/3 = 0. What is j?\nAnswer: -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-45))\/(1140\/(-475))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*x + 2*x. Suppose 53 = 21*i - 115. What is the smallest common multiple of 14\/(-2)*(7 - i) and x?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 11959*q - 2622684. Determine k(-228).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let p(r) be the first derivative of r**3\/3 + r**2 - 7. Suppose 12 = -5*f + 2. Let l(x) = x**2 + 3*x. Let m(k) = f*l(k) + 3*p(k). What is m(q(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8\/3 (b) -1\/6 (c) -387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -76829, -76841, -76853, -76865, -76877, -76889?\n\"Answer: -12*g - 76817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1599943, -1599948, -1599953, -1599958, -1599963, -1599968?\n\"Answer: -5*u - 1599938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**2 + 233*v + 406. Determine n(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2 - 562099*p + 20799032 = 0.\nAnswer: -562136, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1196 and 260.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901.817mg to kilograms.\nAnswer: 0.000901817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 283439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37998 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2451 = 46*t + 11*t. What is the remainder when 155 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*m + 20, 47 = 2*m + 31. Sort -3, -3595, v in decreasing order.\nAnswer: -3, v, -3595","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -494152098?\nAnswer: 494152102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -482240 (base 10) to base 13\nAnswer: -13b665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5467389 is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*o + 246*o - 112146 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1004 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8860.719 litres?\nAnswer: 8860719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94885139 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18952*p - 18951*p - 17 = -2*x, -10*p = -2*p - 5*x - 241 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082224 smaller than 1082195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3 - 2. Let c be -2 + 3 + 10 + q. Suppose 0 = 422*z - 191 - 1075. Solve c = -z*d + 27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146251351573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 119\/(-245) - 4\/(-14). What is the smallest value in 2\/3, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10 = -4*j + 13 - 2, -w = -8*j - 43 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1904, 3804, 5692, 7562, 9408?\n\"Answer: -v**3 + 1907*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - b - 56 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*g + 3*o, -101*g - 40 = -105*g + 5*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 9 - 1)*(-2*a + 0*a**2 + a**2 + 0*a**2)*(17*a + 4*a + 5*a) to the form f*a + n*a**2 + w + y*a**3 and give y.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*l**4 - l**3 - 51*l**4 + 0*l**3 - 23 + 22 to h*l + m*l**3 + q*l**4 + c*l**2 + x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 8*h**2 + 3*h + 10. Let n(d) = -7*d. Let w be n(1). What is the tens digit of i(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -146. Let x(d) = 8*d + 54. Let b(t) = t + 1. Let n(r) = g*x(r) + 4*b(r). Differentiate n(h) with respect to h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318624?\nAnswer: 2, 89, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in -2.9, 31, -518?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -763, 2635, -0.04.\nAnswer: -763, -0.04, 2635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 143. Suppose o - 74 = 3*n. Let y = n + 21. Solve -1 = -2*k - 4*d + 9, k - 4*d = -y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - -5.62. Let f = -20.9 + j. What is f rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*i - 166 - 222 - 302 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -974 - -1404. Let i be g\/6 + (-1)\/(-3). What is the greatest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 0 (c) 7138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*s - 550, -4*l = 4 + 12. What is the highest common divisor of 171 and s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from ipdpdgppgddggpppgp.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 - 165*f**3 - 65*f**3 + 228*f**3 as s + y*f**3 + d*f + j*f**2 and give s.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1609, -1608, -1607, -1606, -1605, -1604?\n\"Answer: o - 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97312041 - 97312041 - 8*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.59818 + -0.63818. Let n = -6 + 6.08. Let b = n - 0.38. What is the third biggest value in i, -2\/11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let y(r) = 2*r**3 + 2 - r**3 + 1 + t*r - 3*r. Let w be y(0). Solve d = -w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/23*(-10)\/45?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -0.1 (b) -106 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-6) - (-171 + 172). Suppose -3*m = -t + 9, 0 = -3*m - 2 - 7. Which is the nearest to t? (a) 0.6 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b = 47*b - 50. Let r be (27 - (-4)\/4)*b\/(-35). Sort 0, 3, -2, r in ascending order.\nAnswer: -2, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-188 + 214 + (4 - (0 - 4 - -2)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -3, 3, 1.8, 413977.\nAnswer: -3, -2, 0.4, 1.8, 3, 413977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 2. Let b(h) = -10*h - 10. Let q(u) = -b(u) + 2*k(u). Calculate q(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 6 - -2) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (466 - 526) + (3 - 0) + 16?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2)\/(-4)*-8. Let h = -511.0137 - -0.0137. Let u = -515 - h. Which is the closest to 3? (a) u (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4546, 4397, 4256, 4123, 3998, 3881, 3772?\nAnswer: 3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -214102412 (base 5) in base 14?\nAnswer: -1a132d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.0836 + -0.0836. Which is the closest to m? (a) 6 (b) 3\/2 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 113313?\nAnswer: 113331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(60\/28)*3. Let c = 21 + -9. Suppose b = -2*z - 3, c = z - 4*z. Which is bigger: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 + 3*h**2 + h**2)*(7*h + 0*h + 2*h)*(6 - 6 + 10) to the form r + q*h**2 + l*h + b*h**3 and give b.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -31 and 2242.\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -544\/5 in -33, 0, -3, 40?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*r + 1 = -1, 2*a + r - 10 = 0. Suppose -a*g = d - 12, -d + 3*g = -0*d + 2. What is the tens digit of d\/(-10) + (-608)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from illlllllllli.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 + 2 = 0. Suppose -i*d + 13 = -11. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-240)\/(-17) - 6\/51. Put -4, v, -5, -1 in descending order.\nAnswer: v, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1265 and 1385543?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 64*x + 137. Let w be u(15). Which is smaller: w or 38\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 91. Solve 3*n + 5 = 8*n, -3*u + 5 = x*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 1, t: 2, d: 3, j: 3, b: 1, x: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(1\/2)\/l*l))**18*(l*l\/l**(-2\/5))**(-26))**(-12) assuming l is positive.\nAnswer: l**(4284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*k**3 - 10 - 94*k**3 + 47*k**2 - 88*k**3 - 80*k**3 as q*k**3 + c + b*k + x*k**2 and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187? (a) -0.1 (b) -3\/31 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -1 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 8*u)*(-4*u - 2*u**2 - 12 + 12).\nAnswer: 16*u**3 + 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1307785965 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*o - 2*o**3 + 90*o - 181*o + 636 - 241*o wrt o?\nAnswer: -6*o**2 - 482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 14*z + 1 + 8*z)*(24 + 10*z**4 - 24)*(2 + 0 - 3).\nAnswer: 60*z**5 + 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/13))\/g)**(-5\/4) assuming g is positive.\nAnswer: g**(-5\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7542749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5\/6)*j*j\/(j\/j**(-5\/2)) assuming j is positive.\nAnswer: j**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3314475 - -11.09.\nAnswer: 3314486.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 15*y - 51. Let z be a(-18). What is the third derivative of 21*w**2 + 1652*w**6 + 3*w**z - 1649*w**6 + 14*w**2 wrt w?\nAnswer: 360*w**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or -2.5?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6621200.\nAnswer: 2, 5, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*c - 268, -4*c = 4*k - 5*c + 527. Let o = -919\/7 - k. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13885.203 rounded to the nearest one hundred?\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007512 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 471402160 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.06, 2\/5, 41, 1549?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/19 + 186\/209. Suppose -3*w + 2*w = -4, -p - 2*w - 376 = 0. Find the common denominator of o and p\/(-63) - 2\/(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 3, 2\/5, 18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 85*r**2 + 9742*r + 5795. What is k(-114)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*v + 9 = 233*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/3 - 62*o**3\/3 + 1772*o**2 + 70232*o\/3 + 118720\/3 = 0. Calculate o.\nAnswer: -106, -10, -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 < 2\/4169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7*u - 10 = 0. Suppose 1461 = t + s, 0*t = -u*t + 4*s + 7341. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 14*a - 4 + 15*a)*(-2 + 4 - 1) - a + 1 + 8*a - 3*a in the form b + x*a and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/232709 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7564 and 3844.\nAnswer: 234484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 0.1, -2\/5 in descending order.\nAnswer: 0.1, 0, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - 23. Suppose 0 = -2*u + 4*u - 64. Let a = r + u. Solve -a*m + 8 = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205238 (base 9) in base 2?\nAnswer: -11101110001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d - 13*d + 19*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -0.44139 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32143329*k*r**3 - 42*k*r**2 - 6*k*r + k + 3*r**3 + 6*r**2 + 9*r + 54 wrt r.\nAnswer: 192859974*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 3*y**3 + 2*y**3)*(2*y - 2*y + 2*y - 3*y + y + 0*y + (-1 + 5 - 2)*(-y + 2*y - 2*y) + y + 2*y - 2*y).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -572\/5 greater than or equal to -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 14*c + 31. Determine z(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1187 or 5939\/5?\nAnswer: 5939\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2+0.594033\nAnswer: 2.594033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 453 - -52?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuadduvvvu. Give prob of sequence aud.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -3232, -7259, -12894?\nAnswer: -20137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7174 and -195.\nAnswer: 1398930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + s + 0 + (-3*s + 4*s + 2*s)*(-4 + 1 + 2))*(-1 - 3 + 0 + (2 - 2 + 1)*(1 - 4 - 1)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8451 and 53667.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15111?\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1196 and -131\/12.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-585)\/75)\/(-13)*-5*2\/(-104).\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 96*u**3 + u**2 + 4*u - 5. What is z(1)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/6 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 416*p**3 - 100*p**2 + 533429 wrt p.\nAnswer: 1248*p**2 - 200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84.4 and -0.253?\nAnswer: -21.3532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((3\/(-14))\/((9\/(-9)*6)\/8)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-815)\/1630)\/((3\/(-10))\/3). Let d(c) = 12*c**3 - c**2 + 2*c - 1. Let y be d(1). Let f = -11 + y. Solve -f = a - t, -6*t = -t - q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*34\/(-5)*126\/882?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*h)*(-2*h**3 - h + h) - 2*h**3 - 4*h + 9*h**2 + 2*h**4 + 4*h.\nAnswer: -4*h**4 - 2*h**3 + 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(190)*2*-4)\/(sqrt(1210) - -1*sqrt(1210)).\nAnswer: 12*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/11 - 44*a**4 + 26936*a**3\/11 + 116108*a**2\/11 - 26938*a\/11 - 115624\/11 = 0.\nAnswer: -4, -1, 1, 97, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 - -284. Let k = -723 + p. Let h = 291.99999647 + k. What is h rounded to 7 dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114657029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -729*g**2 - 19028*g. Let c(j) = -3*j. Give c(i(h)).\nAnswer: 2187*h**2 + 57084*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 3 - 2)*(89 + 25*t - 89).\nAnswer: -275*t","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-576)\/21 + 6\/14. Let g = 24 - i. Calculate the greatest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtqqdcqntdnqdttqdnn. Give prob of picking 2 n and 2 d.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9630 less than 10134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - 2044\/(-70))*20\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*w = -328*w + 56. Solve 2*h - 20 = -w*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 138826710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*z = z + 160, w - 32 = -5*z. Solve -w = 5*d - 3*u, 2*d = -d - 4*u + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/2*d + 0 - 3\/2*d**2 = 0 for d.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/205 + 136671\/820. Let o = n + -166. Let w = o + 0. What is the nearest to -0.1 in 5, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) + 40\/18. Solve 0 = n*v + 4, 3*f + 9 = 2*f - 5*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.278 and -1.\nAnswer: 0.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -241 and -20?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d + 3*u + 11 = -33*d, 0 = -d + 2*u - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7\/9, -3, 2\/13, 2, 0, -2\/11 in descending order.\nAnswer: 6, 2, 2\/13, 0, -2\/11, -7\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10648 = 5*w - 2*a, 1388 = w - 3*a - 726. Calculate the greatest common divisor of 208 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49047*w**2 - 36000*w**2 - 57651*w**2 - 60501*w**2.\nAnswer: -105105*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out 371580 + 0.04.\nAnswer: 371580.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1482)\/4*2*(6 - 7) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/75)\/((1536\/160)\/16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -266 + (2295\/408 - 6\/(-16)). Are w and -259 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 18*k + 40. Let m be q(-20). Put -1, 161, m in decreasing order.\nAnswer: 161, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tftf when four letters picked without replacement from tftff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d - 60. Let v = -12 - d. Suppose -5*r - 3*p + 120 = -0*r, v = 2*p. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916888.7 micrograms in tonnes?\nAnswer: 0.0000009168887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s. Suppose -6*a - 15 = -9. Let d(i) = 57*i**2 + 7*i - 9. Let z(w) = a*d(w) + 6*c(w). Find the second derivative of z(x) wrt x.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/6)\/((-5)\/(-15)). What is p rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2211?\nAnswer: -2\/2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2. Let r(q) be the third derivative of 13*q**4\/24 - 4*q**2. Calculate s(r(m)).\nAnswer: -338*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = t - 16446, -t + 24241 = -3*r + 7811. What are the prime factors of t?\nAnswer: 2, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(165) - sqrt(165))\/(sqrt(500)*2))\/(-3*sqrt(891) + -5*sqrt(22)\/sqrt(2)).\nAnswer: sqrt(3)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69926592439 - -69936482024.9697. Let y = -9890206 + n. Let o = y + 620. Round o to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 41 = -140*a + 141*a, 3*j = -5*a + 8*a + 42 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 12 = -3*h + 5*g, -4*g = h + 20. Let s = h + 22. Calculate the least common multiple of s and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 114.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 0.29 (c) -0.09 (d) 0.056 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 369*y - 14 = -371*y, 3*k + 4*y + 2 = 0. Let m(r) = r**3 + 7*r**2 + 7*r + 17. Calculate m(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let n = -75 - -134. Let p = n + -58. What is the third smallest value in p, -0.1, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxxwwxwdxjxxdxw. What is prob of sequence wdjr?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x + 312 = 3*p, -520 = -5*p + 3*x. Suppose -3*n = 4*q - 84, -q = 4*q + 4*n - p. Suppose -174 = -q*i + 22*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 0 + 9*d + 1 + 0*d**2 - 9. Let g(p) = 3*p**2 + 17*p - 16. Let s(r) = -2*g(r) + 5*o(r). What is the tens digit of s(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 24*p - 3. Let h be x(2). Suppose 4*w - h = 31. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 + 23674*f\/9 + 20005012\/3.\nAnswer: -2*(f - 13983)*(f + 2146)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 25*p**2 - 56*p + 58. Let t be d(27). Which is the nearest to -4? (a) t (b) -1\/37 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 = 148*r - 77*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times 198\nAnswer: -237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -7 + 17 + -14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-24)\/(-9))*6. Let r = 60 - x. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + x**3 - 2*x**3 + (3 - 1 + 0)*(3*x**3 - x**3 - 3*x**3) - x**3 + 0*x**3 - 2*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, -111, 2\/7, 21565, 3\/5 in decreasing order.\nAnswer: 21565, 2, 3\/5, 2\/7, 0.1, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17627.\nAnswer: 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5957 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**3)\/i*i**(-34))**(-31) assuming i is positive.\nAnswer: i**1147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 786 - 493. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(304\/16))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2346 - -3311. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, l: 8, o: 1}. What is prob of sequence all?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 18*q - 3. Let y(p) = -p**2 + 18*p - 3. Give 7*y(r) - 6*z(r).\nAnswer: -r**2 + 18*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-3) + 4 + 3. Let l(b) be the first derivative of 2*b**2 + 1 - z*b**3 - 2*b. What is l(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbqzsgggsqgs. What is prob of sequence gsq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/39*(-100)\/10*102\/(-10).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*y - 28 = -0*g + g - 581*y, -3*y = -18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:42 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 6. Let y(r) = r**3 + 7*r**2 - 9*r - 2. Let w be y(-8). Let o be x(w). Let j be ((-60784)\/(-112))\/29 - 19. Do j and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 7*o + 1. Let v be c(-5). Let i = v - 7. Let x = 8 - 5. Solve 0 = -x*a - g + 17, 3*a = a - i*g + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgwg. What is prob of sequence ggd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + i + 4*i = 29, 2*v - 2*i = -26. Let s(w) = -w**2 - 10*w + 1. Let x be s(v). Calculate the greatest common divisor of 70 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 5:49 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwbcccncbbbn. What is prob of picking 2 b and 1 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 21*s**3 - 3240*s**2 + 128592*s - 277248 = 0.\nAnswer: 16\/7, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.07 - -0.07. Let n = -1 - -2. Let k = 11\/9 - n. Which is the closest to f? (a) 0.3 (b) -3\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 13. Let p = 398 + -340. Let k = p + l. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -2\/21, -0.5 in decreasing order.\nAnswer: 3\/7, -2\/21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 242 - 58. Let m = 189 + o. Let b(v) = -2*v**2 + 7*v + 2. Give b(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 20*j. Is v(4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4555 divided by 774.\nAnswer: 4555\/774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 3.05. Let b = -417.24 + 417. Let o = -4.76 + b. Sort 2, -2\/23, s, o.\nAnswer: o, s, -2\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -26*t**2 - 88*t - 209. What is o(-7)?\nAnswer: -867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*v + 10, 10*b = 11*b + 2*v + 6. Let s be 4\/(-6) + 28\/6. Solve 5*f - 4*m = -27, -s*f + b*f - 5*m = -9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/863824 and 139\/192?\nAnswer: 10365888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 + (-90)\/(-25). Let j be s\/(-18) + 56\/9. Suppose 21 = -j*y + 9*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/1 + (-3198)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y - 12. Let o(d) = 9*d - 12. Let g(q) = -6*i(q) + 7*o(q). Determine g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (704\/176)\/(12\/(-156)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 4*r + 65 - 24, 3*n = -5*r - 35 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -343933959 divided by -4?\nAnswer: 343933959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023241651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 416 and -16162?\nAnswer: 16578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3640140, 3640137, 3640134, 3640131, 3640128?\n\"Answer: -3*d + 3640143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7050 by 1410.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 - (1 - 3). Let a be -1*(3 + (-21)\/f). Let i(o) = 2*o + 1. Let s be i(-2). Put a, s, 3 in decreasing order.\nAnswer: a, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/108)\/((-3)\/9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 2*r + 1 - 3*r)*(-2*r + 2 - 2).\nAnswer: -10*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-2))\/(-33)*-15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -297313 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 53937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110231 - -11132003?\nAnswer: 11021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a gram in milligrams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111221201210100 (base 3) to base 12\nAnswer: -2597283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 5*d**2 - 3*d. Suppose 2*p = -p + 369. Let j = -88 + p. What is the remainder when j is divided by q(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/27*-3*(-1)\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + x + 54 = 0. Suppose w = -0*w. Suppose -5*j + 10 = 0, 0 = b - w*j - 5*j + 9. What is the lowest common multiple of b and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21078 - -21086. Suppose -5*a + 6 + 4 = 0. Solve -2*w + b = -a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 5*q**2 - 4*q + 9. Let j be g(6). Let r = 60 - 40. Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*z - 2 = 5*t + 84*z, 4*z - 17 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143117771\/49200 + -72722\/25. What is the common denominator of 107\/40 and r?\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t + 16 = 2*r, 5*r = -4*t + 22. Let c = 5 - t. Solve c*b + 2 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131368506, -131368505, -131368504, -131368503, -131368502?\nAnswer: -131368501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1236 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 129*i. Suppose -22*j = -153*j + 917. Let h(o) = -193*o. Calculate j*x(w) + 5*h(w).\nAnswer: -62*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 - 4*c - c + 0*c.\nAnswer: -5*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*n - l, 10*n + 4*l = 8*n. Let f be -15 - n - (-2 - (2 - -4)). Let w(b) = b**3 - 4*b**2 + b + 4. Calculate w(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 5*x**3 - 3*x**3)*(-4 + 6 - 3)*(163 - 163 + 13*x**2) + (x**4 + x**4 - 3*x**4)*(-2*x - 1 + 1) + 2*x**4 + 2*x**5 - 2*x**4.\nAnswer: 30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 + 3*x**4 - 2537*x**2 - 382470*x wrt x.\nAnswer: -20*x**3 + 36*x**2 - 5074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.6 + 0.4. Let p = d + -25. What is the second smallest value in 2\/9, p, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*q*v**6 - 4796448*q*v**4 - q*v**2 + 8*q*v - 7*q + 78*v**2 - 31*v - 23 wrt v.\nAnswer: -1440*q*v**3 - 115114752*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 138 = -130. Suppose -n*s = -5*s - 11. Put -3, s, 3 in decreasing order.\nAnswer: 3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 70, 14, -40, -92?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/296344 and -39\/296344.\nAnswer: 296344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 621, 1, 66 in increasing order.\nAnswer: 1, 5, 66, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 21400*k**2 + 42785*k + 21390.\nAnswer: 5*(k + 1)**2*(k + 4278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*sqrt(539) - ((-2*sqrt(539) - sqrt(539)) + -5)**2 - (-1*(0 + sqrt(539)) + sqrt(539) + 1 + sqrt(539)*-1)*-6.\nAnswer: -4872 - 273*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217 + -1515\/7. Calculate the common denominator of -27\/5 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 432.592 + 0.408. Let g = i + -438. Which is the second smallest value? (a) g (b) -0.6 (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12 - 39\/(-117). Put -3, k, 4, 2 in descending order.\nAnswer: 4, 2, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p + 32*p = -18*p + 90 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23779 is divided by 791?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 - 0.3. Let g = j + -1.3. Which is the second biggest value? (a) 0.3 (b) g (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64162 is divided by 16034.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800960?\nAnswer: 2, 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + 2*s**3 - 3*s - s**2 - 3*s**3 + 0*s**4 as g*s**2 + u*s + r*s**3 + y + l*s**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 - 11*s**2 + 11*s + 1. Let v(a) = 2*a**3 + 6*a**2 - 6*a - 1. Let u(q) = 6*l(q) + 11*v(q). Let w(d) = 5*d**3 - 6. Determine 6*u(k) - 5*w(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -75\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*c - 0*c - 11, c = -a - 1. Let y = c + 6. Factor -1\/4*u**y - u - 1.\nAnswer: -(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -48615551.\nAnswer: 3\/48615551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/742 + 56389\/2226. Find the common denominator of 127\/36 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiigmgmmiimgg. Give prob of picking 2 i.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280884067.\nAnswer: 280884067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -10\/19, 4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, p: 2}. What is prob of sequence pjjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -j - 0*q - 106, 3*q + 102 = -j. Let o = j + 155. Let l = -626 + 643. What is the remainder when o is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3480 and 9164?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 14, -22, 3, -858 in decreasing order.\nAnswer: 14, 4, 3, 0, -22, -858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 16, q: 4}. What is prob of picking 1 k and 1 q?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvvhvvhvgvhg. Give prob of sequence hv.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - -11.9. Let o = 19 - 5.8. Let v = r - o. Which is the second biggest value? (a) v (b) -1\/7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184685911243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*j - 29*j - 19*j)*(3 - 1 - 3).\nAnswer: 78*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2294743, 2294744, 2294745, 2294746, 2294747?\n\"Answer: s + 2294742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13550 - 13556. What is the nearest to -5 in -1\/3, 4, x, -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)*p**0)**(1\/3) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -585 (c) -3459\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3432 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 53078584?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208 + -208. Solve m + 3 - 4 = i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a64 (base 15) to base 5\nAnswer: -140334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.13, -2178.\nAnswer: -2178, -0.3, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130.982 - -0.018. Let l = -131.2 + w. Which is the smallest value? (a) 4 (b) l (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/2)\/((-2)\/4). Let i be (2 + 12\/d)*-5. Suppose y + i*a = a + 6, a = -4. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 11*w**2\/3 - 31*w\/3 + 7.\nAnswer: -(w - 7)*(w - 3)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 62*i - 113*i + 53*i + 2. Let s(v) = 5*v**2 + 14*v + 7. Let h(d) = -2*d**2 - 7*d - 4. Let l(o) = -7*h(o) - 3*s(o). Calculate -4*l(m) + 14*y(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1317 divide 15639435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 10:11 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/(-4) + 1\/4. Let v be 69\/15 + 2\/a. Let l(i) = i**3 + 51*i**2 + 82*i - 780. Let m be l(-49). Solve -v = -m*c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/(-40)*(-19 + 2745\/135).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3438 - -5078. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 - 6 - 4 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (95 - 2)*19208\/(-177408) + 10 and 94\/165?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 1295.67.\nAnswer: 1295.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (299\/13)\/((-1)\/(7*15\/35))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**3 - 2*j**2)*(3 - 3 - 2*j) + (0*j**2 - 2*j**2 + 0*j**2)*(8 - 8 + 4*j**2) - j + j - 2*j**4.\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4 + (-6 - -8))) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1283624211*c**2 + 873086318 wrt c.\nAnswer: 2567248422*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-58)\/6 - -4)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*y = -2, -y - 4*y = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -h - 5*n, 4*h + 4*n + 2 + 54 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(1 + -3). Let b(v) = v**4 + v**2 - v + 1. Let p(h) = -2*h**4 + h - 1. Let f(k) = x*p(k) + b(k). What is the third derivative of f(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212937273 a multiple of 1217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + 0 + -4616 + 4557.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24370563.\nAnswer: 3, 7, 1160503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 83 = -63 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3, -4, -97, -1 in increasing order.\nAnswer: -97, -4, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34560 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0082953505 to five decimal places.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*m**3 + 2\/13*m**5 - 2\/13*m**4 + 0*m + 0 + 0*m**2.\nAnswer: 2*m**3*(m - 2)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00805982 rounded to 4 dps?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -59*r - 1. Let w be z(-3). Let s = -5 + 21. What is the highest common factor of w and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -158, -989, -2900, -6323, -11690, -19433?\nAnswer: -29984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 46 = 4*z, -2*z - 1 = -3*d - 27. Let x(l) = l**3 - 11*l**2 + 10*l - 4. Let r be x(z). Is -77 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 16 + -1 - ((-1 - 11) + 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-3 + 18\/(-2). Let a be o\/9 + 4\/6. Let x = -1790 + 1790.1. What is the nearest to x in 0.5, a, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - (22 + 0 - 6 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 14 = 6*s. Let g(n) be the second derivative of 5\/42*n**s - 2*n - 2\/35*n**5 - 2\/21*n**3 + 0*n**2 + 1\/105*n**6 + 0. Let g(w) = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/71, 4, 3, 0.8, -5\/2 in increasing order.\nAnswer: -5\/2, 1\/71, 0.8, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -6066.0751.\nAnswer: -6066.0751, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 - 6*f + 1. Let m be z(-5). Suppose -5*p = 3*x + m, 5*x - 3*p - 4 = 1. Let t(y) = 2*y**2 - 2*y. Calculate t(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 30 - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3666\/286 + 0 + -13. Which is the biggest value? (a) n (b) -363 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6\/7, 6, 67, 3\/5 in descending order.\nAnswer: 67, 6, 6\/7, 3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533 = 1099*v - 1665 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 3053622?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 13*w - 3. Let o be u(-14). Let f = -10 - o. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**7\/336 - m**6\/20 + 11*m**5\/40 - 35*m**4\/48 + 17*m**3\/16 - 7*m**2\/8 + 165*m + 2. Factor f(h).\nAnswer: (h - 7)*(h - 2)*(h - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 385*n - 380.\nAnswer: -5*(n + 1)*(n + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/11)\/p*p**(-12\/11) assuming p is positive.\nAnswer: p**(-27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*u + 3302 = 0, -2*u = -5*f + 5714 - 217. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14746 and 167024.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3185*i - 1564*i = 1578*i + 680 - 2787 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 661 + -467. Differentiate -4*x - 19 + 3*x - h - 2*x + 30 wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*f**4 + 3777 + 15*f**4 - 12589 + 50*f**4 wrt f?\nAnswer: 304*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 6 (c) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -27. Let g = -9 + c. Suppose 5*h - 7 = -4*p - 15, -2*h = -4*p - 8. What is the closest to 0 in h, g, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 24*o + 40. Determine c(-28).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(14)\/sqrt(2)))\/(sqrt(27)\/(-3*sqrt(9))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 52. Let j(f) be the first derivative of 2*f**3\/3 - 3*f**2 - 1. Let x be j(9). Calculate the highest common divisor of x and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, k: 4}. What is prob of picking 2 k?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x + 5*f = 80, -x = -5*f + 14. Suppose 2*g - 29 - x = 0. What is the remainder when g is divided by (1 - -6)\/(-2 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -104, -238, -426, -668, -964, -1314?\n\"Answer: -27*i**2 + i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 4:48 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8770430 a multiple of 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7156 = 20*i + 6856, 5*i = -3*r + 75 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/40)\/((-1067)\/(-46948))?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 - 7*b + 8. Let r be m(-7). Let c be 16\/r*(-1)\/(-1). Find the common denominator of 62\/21 and -4 + c + 124\/16.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 - 68*h**2 - 70*h - 2. Give n(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6937 is divided by 348.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -140*w - 578. Let x be m(-5). Calculate the highest common divisor of x and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142705048 to the nearest integer?\nAnswer: 11946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skksshs. Give prob of sequence hhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -1\/30*m**5 + 19*m + 4\/3*m**3 + 16\/3*m**2 - 1 + 0*m**4. Factor j(r).\nAnswer: -2*(r - 4)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:44 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14218 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 54*y - 124 = -15*y + 284 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15150828 is divided by 4997?\nAnswer: 4921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a**4 - a + 7*a**4 + 14*a wrt a?\nAnswer: 276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:01 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/60 - 5*b**4\/24 - 37*b**3\/6 + b**2 + 6*b. Let y be c(-4). Let u(t) = -20*t**2 + t + 1. Calculate u(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 8*s**2 - 9*s - 10. Let z be m(-7). Suppose 0 = 2*x - 6*x + 20. Solve -z - 6 = x*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.11 (b) 245 (c) 3 (d) -2 (e) -0.1 (f) -892\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -35073 + 3*q + 35558 - 8*q**2 - 3*q as s + d*q + v*q**2 and give s.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 26*s**2 + 39*s - 7. What are the prime factors of g(27)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 6*u - 1617. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-84)*((-14)\/(-4) + 0). Suppose b - 4*w = 1, -b + d*w = -4*b + 17. Suppose 2*i + 3*p = -2*i + 11, 0 = -4*i - 5*p + b. Sort i, 0.06, 0.01.\nAnswer: 0.01, 0.06, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244 is divided by 618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 540859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 15. Let d(x) = -x. Give j(d(u)).\nAnswer: -u - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18*2)\/(55\/(-332475)*31).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 10*t.\nAnswer: 5*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 82 = 37. Suppose 6 = -6*u + u + 4*w, 2*u - 2*w + 4 = 0. Is u smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/410?\nAnswer: 3\/410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 103, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:58 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 7*s + 6. Let u be c(-6). Let w = 8 - 4. Let j be (1 - 16)\/(6\/(-8)). Solve -j = -f + 4*h, -w = 4*f + 5*h - u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + -4*sqrt(68))**2 - (0 + sqrt(17) + -1 - ((sqrt(153) - ((0 + sqrt(153))**2 + sqrt(153))) + sqrt(153)))).\nAnswer: 410*sqrt(17) + 4805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1629*r + 1621*r. Suppose -g + 12 = -4*g. Which is the smallest value? (a) -3\/4 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 90. Let s = 5 - 1. Suppose o = -p + s*p. Solve 3*v + 3 = -k + 5*v, -2*k + 3*v = p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*(4 - 1). Let y be (g\/1)\/2 - 3. Let t = -30 - -20. Which is the third biggest value? (a) -0.4 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*q - 270 = 0, 2*q + 69 = r + 3*q. What is the units digit of 6\/(-10)*r\/9*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1) + -2 + 16. Let q = 2 + j. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**4 - w**3 + w - 1. Let x(n) = -n**5 - 12*n**4 - 77*n**3 - 34*n**2 + 312*n + 388. Let c(d) = 4*o(d) - x(d). Determine q, given that c(q) = 0.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7630.\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1201264.43 to the nearest one hundred.\nAnswer: 1201300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.714 - 0.714. Let h = 16785\/7 - 2394. Let g = h - 4. Which is the third smallest value? (a) m (b) -3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/24)\/(((-18)\/(-9))\/(27*9))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3385*a**5 + 9*a**3 + 134284*a**2?\nAnswer: 203100*a**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.5 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 9*u + 7. Let y be l(9). Suppose 0 = -5*t - y - 13. Put -2, t, 5 in increasing order.\nAnswer: t, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 - 1.13. Let r = 9.07 - c. Let y = r - 7.87. What is y rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s + w + 14 = 29*s, 2*w - 5 = s. Suppose 3*p - 15 = c, 0 = 3*p + p - 4*c - 20. Put p, s, 4 in descending order.\nAnswer: p, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/((-4)\/(-56)). Suppose a*f + 69 = 440. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000478853 rounded to 5 decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111.052 + 0.052. Let d = -115.12 - c. What is d rounded to 1 decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.56965925 - 0.10753.\nAnswer: -75.67718925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16702 (base 16) to base 4\nAnswer: -112130002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 226, 798, 1722, 2992, 4602, 6546?\n\"Answer: -i**3 + 182*i**2 + 33*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 177 = 3*k, -q + 5*q + 2*k + 202 = 0. Let s be -1*q\/(-4 - -2). Let y = s - -48. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.5, 59\/5, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 4*g + 3. Let d be w(-3). Is (-252)\/(-7) - d\/(-1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-428)\/(-6) + 3\/(-9). Suppose -4*a = -77 - h. Suppose a = 2*y - y. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -370*t**5 - 224*t**3 - 161065*t wrt t?\nAnswer: -7400*t**3 - 1344*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/2063 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = 4*y + 3*t + 283, 2*t + 47 = 3*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 3\/8 (c) 10 (d) 100 (e) -1 (f) -21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 187 = 2*s + 3*u, u - 1 = 0. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3)\/(2244\/88)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/(-2)*(-5)\/(15\/(-1)) and 103\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141144?\nAnswer: 2, 3, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 4*s - 201 = -99, 0 = -4*n + 2*s + 54. What is the closest to 1\/3 in -4, n, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083734 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let n(t) = 21*t - 6. Let j(w) = 18*a(w) - n(w). Give j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = y, 2*y - 3*w - 17 + 1 = 0. Suppose -6*r + 11 = -y*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 408 + 80 = 0. Find the second derivative of 82*b + l*b**2 - 64*b**2 - 44*b**2 wrt b.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 6:25 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4696 + -4678. Suppose 0 = 3*m - 5*m + 3*l, 3*m = -4*l + 17. Calculate the remainder when (-106 - 0)\/((-6)\/m) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 523591163716\nAnswer: -523591163715.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 2*v**5\/5 - 2*v**3 - 5*v - 5. Let r(m) = m**4 - m**2 - 1. Let i(y) = -k(y) + 5*r(y). Find the third derivative of i(c) wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 63. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42576 is divided by 338.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 4*y - 2. Let v(a) = -a - 5 + 3*a**2 + 0 + 4. Let p be v(-1). Suppose p*t + 17 = -5*r, -2*r - 2 = 2*t + 4. Calculate w(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3 and 4\/6267 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11075 is divided by 460.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 14*w**2 + w - 13. Let h be f(14). Let p(c) = c**2 - c. Let y be p(h). Suppose y = -n + 357 - 72. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 + k**2 + k - 2. What is d(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 z when three letters picked without replacement from {z: 6, n: 1, o: 1, f: 3, v: 2}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*f + 7*d + 5, 2*f = 3*d + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n\/(n*n\/(n\/(n**(-1\/5)*n*n*n))))\/n))**(-43)*n**4*n\/n**8)**(1\/19) assuming n is positive.\nAnswer: n**(-832\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**3 - 3*i**2 - 10*i - 2. Let g(x) = -6*x**3 - 2*x**2 - 9*x - 1. Let c(w) = 4*a(w) - 5*g(w). Let y(b) = b**3 - b**2 + b - 1. Give -c(r) + 3*y(r).\nAnswer: r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 989717 to the power of 1\/2, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -13, 3\/5, -2\/3, 5, 1776\/5393?\nAnswer: 1776\/5393","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 3:06 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 112*h + 4. Let u(o) = 19*o**2 - 4*o. Give u(n(m)).\nAnswer: 238336*m**2 + 16576*m + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minus -12956710.4066?\nAnswer: 12956766.4066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -46752 (base 9) in base 11?\nAnswer: -21513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 - (1 + -7 + 14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + t + 200 = 0, 4*u + 196 - 20 = -4*t. Let b = u - -50. Suppose 201 = 3*h - 3*p, -b = 5*p + 4. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrummrmutrmumruumr. What is prob of sequence mrrr?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49537 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)*l)**18 assuming l is positive.\nAnswer: l**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56*1.757\nAnswer: 98.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 + 3. What is the nearest to 2\/3 in -0.2, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnqq when four letters picked without replacement from ffffnknnqnq.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 672 and 672 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26027320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8206\/117 + -880\/13. Is -0.248 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x + 17*x - 6 - 7*x. Let l(a) = -110*a - 135. Let c(g) = 4*l(g) - 90*v(g). Let h(i) = -i**2. What is h(c(o))?\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 173887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32555 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/31915 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, 3\/7, -0.3, -4, 4\/5 in increasing order.\nAnswer: -4, -2.9, -0.3, 3\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, k: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d + 3758 = -274*d + 942 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/6*12\/(-15). Let w be (0 + 2 + c)*1. Solve 0 = -w*o + 8*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 8392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -167?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 12:46 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/18*(-24)\/136?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 + 3*t - 4. Let a be d(3). Let z(o) = 5*o - 43. Let s be z(7). Let y be (s - -4 - -3)\/(3\/15). Put a, -3, y in descending order.\nAnswer: -3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -43*i + 5. Let t(g) be the third derivative of -65*g**4\/12 + 8*g**3\/3 + 3442*g**2. Give -5*t(h) + 16*x(h).\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1045631?\nAnswer: 1045631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2. Let o(l) = 20*l**2 + 18*l**2 - 56*l**2 + 23*l**2. Let h(t) = -4*t**2. Let k(n) = 4*h(n) + 3*o(n). What is -22*k(f) - 6*x(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 0*x - 2446 + 65379 = 0. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -12, -4, 4?\n\"Answer: 8*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + r = -1381, -10*r = -3*p - 9*r + 2072. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-13)\/(832\/(-48)))\/(10\/8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from dtbccttcttttttt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {e: 7, i: 2, q: 6, r: 1, m: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2885 equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 596 and 13708.\nAnswer: 13708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65489.064849 - 65489. Let r = -0.065 + v. Round r to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let r(k) = 38*k**2 - 23*k**2 - 20*k**2. Give u(r(c)).\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8778, 8775, 8770, 8763, 8754, 8743, 8730?\n\"Answer: -f**2 + 8779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 14. Let g be (-1047)\/(-42) + (-5)\/c. Let z = -4105\/154 + g. What is the common denominator of 59\/12 and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2\/9 (c) -319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -838, -1700, -2550, -3388, -4214?\nAnswer: -5028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = q - 6*b + 4*b, 0 = -3*q + b + 61. Suppose 0*y + 20 = y + 5*s, 0 = s - 2. Let h = y + 2. Calculate the lowest common multiple of q and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51\/4 of a minute?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -23*l**4\/24 + l**3\/3 - 3*l**2. Is 16 a factor of x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161476 and 306908?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 55\/66*(5 - -1). Suppose -4*t + 3*v = 127 - 1687, -j*v = -4*t + 1552. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -151. Calculate the remainder when j is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q - 163488 = -7*q - 527259. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a + 6 + 120. Solve p = -3*g + 6*p - a, 5*g - 5*p + 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/(-16))\/(3\/132). Let h = n - -39. Let u = h + 50. Solve u + 8 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/3)\/((-6)\/3). Let u = z + 3. Let s = 5 + -2. Solve -u*m - b = s, 7 = -m - 2*m - b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/4 (b) 5 (c) 3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:28 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 2\/11, 16 in descending order.\nAnswer: 16, 12, 3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 8:13 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 155\/151827 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -86, -90.22, 1\/2 in descending order.\nAnswer: 1\/2, -1, -2, -86, -90.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 - 210*k**2 + 56*k**2 + 0*k**3 - k**3 + 154*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m = 58*m - 11 - 157. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/9*b**3 + 0 + 4*b + 4\/3*b**2 + 4\/9*b**4.\nAnswer: 4*b*(b - 3)**2*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 - (-2 - (-10 + 17))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28)*159)\/((-24)\/8)*-4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(6*(-18)\/(-189))?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/306*(-45)\/(-10).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 2*r - 1. Let z be m(2). Suppose 5*a + z*l + 9 = 22, -3*l + 1 = -a. Differentiate 5*n**2 + 6*n**a - 6 - 3*n**2 - 2*n**2 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = h - 4, 5*h - 2*x + 7*x = 20. Let r be (-3 - (h - 50))*1. Let g = 103 - r. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t**3 + 40*t**2 - 58*t - 126. What is o(3)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 429438099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249877119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11aca1 + 1?\nAnswer: -11aca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.139 and 0.29?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = 0, 3*u = -2*u + 3*p + 102. Calculate the remainder when 146 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174437 + 174437.299956. Let a = 0.3 - k. What is a rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126055 or 2\/37?\nAnswer: -126055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a factor of 12494346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -433, 37 in descending order.\nAnswer: 37, 3, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:27 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -409.9 + 410. Let q = -0.31 - -0.01. Let o = q + 0.2. What is the closest to o in 2\/7, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21204)\/(-72447))\/(12*-1).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and 0.0214.\nAnswer: 0.5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 699\/10, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325 - 33456164.\nAnswer: -33456489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.5 (c) -3 (d) -2\/785 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2166832 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*r - 2. Suppose 0*a - a = -4. Let p(d) = -2 + a + 2*d - d. Give p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.016 and 444?\nAnswer: 7.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/9503882 and -29\/26309527?\nAnswer: 2157381214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzuuuuzzuu. Give prob of sequence zuuu.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 2*c**2 - c + 1. Let b(i) = 20*i**3 - 90*i**2 - 98*i - 6. Let w(v) = -b(v) - 6*g(v). Factor w(l).\nAnswer: -2*l*(l - 52)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**7\/210 + y**6\/60 - 109*y**4\/24 - 12*y**2. What is the second derivative of d(f) wrt f?\nAnswer: 12*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 1289 + 2582 + 35*r - 1292 + 0*r**2 + r**2 to the form l*r**2 + f*r + b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/6 - (-534)\/36. Let r be (-3)\/(2\/((-20)\/g)). Let j = -28 + 31. Solve 12 = q + 4*c, -r - 1 = j*q - c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28479 and 35616?\nAnswer: 338102688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6095 - -6160. Solve w*q - 84 = 44*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0 + 0*v**2 + 2*v + 0*v**3 + 1\/12*v**4. Let c(u) = 2*u - 3. Let k(h) = -3*h + 4. Let f(a) = -4*c(a) - 3*k(a). Give f(n(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477.5*9.\nAnswer: 4297.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36999440 and 12?\nAnswer: 110998320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198\/85 - 9\/17. Let f(p) be the first derivative of 0*p**4 + 4 - v*p**5 - p**3 + 0*p + 0*p**2. What is the third derivative of f(n) wrt n?\nAnswer: -216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 18920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = j + 928 - 10, 5*j + 358 = 2*l. Let y be (0 + (-3)\/24)\/((-23)\/l). Sort y, -13, -2, -4 in descending order.\nAnswer: y, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*(2 + (-133)\/5). Let c = f + -254. What are the prime factors of c?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16a3a81 (base 15) to base 2\nAnswer: -111110110011111011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4709793 is divided by 494?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2145\/8 - -33631\/120. Let k = 37\/3 - j. Sort k, 3, -2\/9 in descending order.\nAnswer: 3, k, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -35, -3 in ascending order.\nAnswer: -35, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d + 3. Calculate l(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/(1\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14844 divided by 4?\nAnswer: 3711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*t = -p - 44, -3*p + 2*t = 165. Let a = p - -57. Suppose 9*r - 15 = a*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:42 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 13*b**6\/360 - 27*b**3 - 108. Let c(q) be the third derivative of l(q). Let s(m) = -2*m. Calculate c(s(w)).\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2005 - 188. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from {i: 7, d: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 303.11, 3\/4, -1\/9, 6 in ascending order.\nAnswer: -1\/9, 3\/4, 6, 303.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 335435 - -101542?\nAnswer: 441421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 6*j + 2. Let s be k(5). Let g(a) = -a**2 - 3*a + 4. Let l be g(s). Solve -b + l = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61145765*v**3 + 82844527*v?\nAnswer: -366874590*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*b**3 - 85*b**2.\nAnswer: -5*b**2*(4*b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + -1*sqrt(85)*3)\/(sqrt(5) - (3*sqrt(500) - sqrt(5))))**2.\nAnswer: 17\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 10. Let a be p(-2). Let j be -4*(a + (-38)\/8). Solve l = -j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 86. Suppose -5*k = 3*m - t, -5*m + 0*k = 5*k - 100. Calculate the highest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -1034, -2274, -3996, -6200, -8886?\nAnswer: -12054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyc when three letters picked without replacement from ycccaecaycccce?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 41, 62, 85, 110, 137, 166?\n\"Answer: l**2 + 16*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7404134167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-126))\/((-3)\/(-5 - -2)*-10).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 87859?\nAnswer: 5\/87859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 6*z - 13*z = 5*z - 2*t + 20, -3*t - 30 = -6*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 2. Let r(x) = x - 19. Let p(z) = -z + 6. Let g(b) = 8*p(b) + 3*r(b). Give -2*g(i) + 11*y(i).\nAnswer: -i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 164, 82, -134, -550, -1232, -2246, -3658?\n\"Answer: -11*c**3 - c**2 - 2*c + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (6 + -4)\/(2\/(-4)). Let k(r) = 5*r**2 + 8*r + 13. Let d be k(v). Let a = d - 57. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53, -65, -89, -131, -197, -293, -425?\n\"Answer: -x**3 - 5*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93622*-0.1.\nAnswer: 9362.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2146 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212125533 + -3?\nAnswer: -212125540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 - 51) + 2546\/(-152).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -97, -221, -345?\n\"Answer: -124*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31.0568313652+-3.718\nAnswer: 27.3388313652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 0.1, -71?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 - 19430 + 19430.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, y: 4}. Give prob of picking 3 y.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tafqaawqqafawqqtwqa. Give prob of sequence qttq.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 743.1 + -743. What is the fourth smallest value in 5\/2, -2\/17, 0.4, a, 42?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**5\/60 - 7*v**4\/24 + 2*v**3\/3 - 5*v**2\/2 - 1. Let g(f) be the second derivative of k(f). Give g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1*(5*(sqrt(720) + 0) + sqrt(720)))**2 - (1*sqrt(4840) - sqrt(4840))\/(sqrt(24)\/sqrt(3)*-1)).\nAnswer: 25923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 6)*((-2 - 2 + 3)*(-m - m + 0*m) + 5*m - m - 2*m + 5*m - 4*m - 2*m - 4*m + 0*m + 5*m).\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:40 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 265*h + 59 - 187*h + 455*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-4))\/(3\/(-9)). Let c(v) = v - 9. Let s be c(8). Is x at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6388 divided by 4\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 638 + 636 - 1274. Let p(o) = -9*o - 26. Calculate p(l(y)).\nAnswer: 18*y - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1505765.\nAnswer: -4517295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43677 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(612) + -1) + -1 + (sqrt(612) - sqrt(612)*-1) + sqrt(612) + sqrt(612))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212*t**5 + 2*t**4 + 16024*t**3 - 368*t + 19263 wrt t?\nAnswer: 4240*t**3 + 24*t**2 + 96144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 77*p**2 + 130*p - 2536. Is 7 a factor of w(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzxgkaz. Give prob of picking 1 k and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llul when four letters picked without replacement from {l: 3, u: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5743425 + -2314596801\/403. Let m = v - 210\/31. Is m less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520849 by -5.\nAnswer: -520849\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + 2*sqrt(243) + sqrt(243) + -1)**2.\nAnswer: -162*sqrt(3) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from wbggxaoa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66\/7 + -379\/35. Let o = 10018 + -350694\/35. Let k = o - u. Put k, 0, -1 in ascending order.\nAnswer: -1, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 34*q - 36*q. Solve 2*z - q + 34 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78050 divided by -5.\nAnswer: -15610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*p*r**3*v + 95*p*r**2 - 6*p*v**2 - 6*p + 2*r**3*v**2 + r**3 wrt v.\nAnswer: -5*p*r**3 - 12*p*v + 4*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -177? (a) -1\/4 (b) -9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363 and 6.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(1505\/5950 + 1\/(-4)) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**3 + 6*j**2 - 15*j + 6. Let p(b) = -34*b**3 + 17*b**2 - 44*b + 17. Let s(t) = 6*p(t) - 17*u(t). Find the second derivative of s(d) wrt d.\nAnswer: -102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116.6 times 0.05\nAnswer: 5.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*f**4 - 12\/7*f + 0 - 2\/7*f**5 + 2\/7*f**2 + 2*f**3 = 0. Calculate f.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.71 + 0.29. Let i = -41.28 + r. Let n = -0.28 - i. What is the biggest value in 5, n, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 12, j: 1, r: 2, s: 1}. What is prob of sequence dej?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3673.90236918813 - -0.08239218813. Let m = j - -3673.58. Let w = -0.24 - m. What is w rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 19, 24, 29, 34?\n\"Answer: 5*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, -1\/6, -2\/5, 3\/4, 1, 241?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 3*m - 1. Let c(y) = -85*y**2 - 82*y**2 - y + 166*y**2. Let r(k) = -2*c(k) + t(k). What is r(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19669\/(-255) - (-4)\/30. Let x be ((-22)\/d)\/(12\/14). Let b = 328\/187 + -18\/11. What is the closest to -0.2 in b, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -303.\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 6. Suppose -m*k - 1 = 4*d - 48, 3*k - 4*d = 41. What is the remainder when 32 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1 + -39 + 1. Let b = 18 - g. Let u = 76 - b. Calculate the lowest common multiple of 16 and u.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) -2\/19 (c) -0.4 (d) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 6*x**3 - 3*x**3 + (-33*x - 16*x - 36*x)*(-6*x + 6*x + 6*x**2).\nAnswer: -509*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -4 + 3 - -4) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-637 - -634)\/(15\/(-319)) + (-2 - 2)\/(-20)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 + -140. Let t = b - 72. What is the tens digit of (16\/(-12))\/((-2)\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -74560, -149119, -223678, -298237, -372796, -447355?\n\"Answer: -74559*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 97*w - 530. Let o be v(-5). Solve 1400 = -o*s + 1435 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from luffrfrrrlrfrrrrlrfu?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from wwbboobbwwbowwow?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 5*l - 2. Let y be 27 + (-4)\/14 + (-2)\/(-7). Suppose -4*g = -11 + y. What is the units digit of q(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 1. Suppose 3*u - 91 = 2*n - 33, 27 = 2*u + n. Let q be (-1 - (-66)\/14) + u\/(-4). Which is the closest to q? (a) -2 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1155 and 1026025?\nAnswer: 3078075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.6 and -28.\nAnswer: 184.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 440813 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205224225 - -5?\nAnswer: -205224220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouuuoou. Give prob of picking 2 o and 2 u.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q - q)*(34433*q**2 - 34433*q**2 + 263*q**3).\nAnswer: -789*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -3*v**5\/5 - 261*v**2\/2 + 227*v. Differentiate w(j) with respect to j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*a + 467 + 325, -3*s = -4*a + 810. What is the common denominator of -137\/132 and s\/(-108)*(-96)\/(-84)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1409120 and 1600?\nAnswer: 14091200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*l = -344*l + 1464. Solve -3*s - 4*h = -l*h + 11, s + 2*h = 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4821122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 59*v**4\/6 + v**3\/6 + 55*v**2\/2 + 326*v. Differentiate d(m) wrt m.\nAnswer: 236*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -5\/4 (c) 14530 (d) 36 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2. Suppose 2*w - 5*w = -18. Let z be 14\/6 + (-2)\/w. Let b(a) = -2*a**z + 0*a**2 + a**2. Calculate j(b(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124505555.999943 - 124505649. Let h = a - -93. Round h to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3 + 759*f**2 - 21690*f + 5375 = 0 for f.\nAnswer: -215, 1\/4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by -23742\nAnswer: 116\/11871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/21 - (-218)\/14. What is the derivative of 26*j - 26*j - t*j**4 - 2 wrt j?\nAnswer: -64*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1215*h + 3725. Give s(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249840, -502646, -755452, -1008258?\nAnswer: -1261064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29508.2909 rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z + 27907. What is the units digit of q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2)**(7\/6)*(u*u*u**(-1\/9)*u)\/(u*u*u\/(u*u**(2\/19))))\/((u**1*u)**(3\/22)*(u**(1\/2)*u)**(-18)) assuming u is positive.\nAnswer: u**(99899\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -6, -228920 in descending order.\nAnswer: 3, -1, -6, -228920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 71 + -109 - (5 - 16 - (0 - -6 - 8))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g - 13. Let c be q(4). Let a(s) = 15*s**2 - 12*s - 19. Let f(i) = -7*i**2 + 6*i + 9. Let b = 1 + -7. Let m(z) = b*a(z) - 13*f(z). Determine m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4938, 4946, 4966, 5004, 5066, 5158?\nAnswer: 5286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 613, 1, 5, -1.\nAnswer: -1, 1, 5, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/5))**(1\/65) assuming f is positive.\nAnswer: f**(4\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.198 rounded to 1 decimal place?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - 2*i**4 - i**4)*(8*i - 9*i - 21*i - 2*i - i + 2*i + (i + 3 - 3)*(-1 + 1 - 2)) + 6*i**4 + 0*i**4 - 4*i**4 + 37*i**5.\nAnswer: 162*i**5 + 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2 in increasing order.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let y = 2 + 3. Let s(u) = 0*u - u + u + y*u**2. Determine s(d(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 321849 to the power of 1\/2, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 83980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmilh. Give prob of picking 1 h and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 547 = 17. Let b = 98 - s. Calculate the greatest common factor of b and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-122702.\nAnswer: 49080.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/262808 and 37\/4446.\nAnswer: 2365272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s + 1. Let v be o(0). Suppose 0 = 3*m + 14 - 2. Let a = v - m. Solve -r + 16 = -a*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**3 - 3*m**3 - 48*m + 33*m + 26*m wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.1808\nAnswer: 0.01808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8558 - 204*l + 2674*l + 8558.\nAnswer: 2470*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y + 998. Let b be m(-45). Calculate the highest common factor of 1872 and b.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -29?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (22 + (0 + 16 - 20))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.48000057 + -0.48. Round t to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 71.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 84 = 13*k. Suppose 7 = 4*n - 5*v - k, -5 = n + 2*v. Which is greater: 10\/27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5 - 25. Suppose 4*c - 3*o - 10 = 0, 4*c - 20 = -5*o + z. Suppose 0 = -c*w - 102 + 438. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 + 13*v**2 - 12*v + 10. Let k(y) = y**3 + y - 1. Let p(o) = 4*k(o) + r(o). Let x be p(-13). Let h = -110 + x. Solve 4*a + h*a - 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atataaaff. What is prob of picking 2 a and 1 t?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3 - 3594260*i**2 + 7188514*i - 3594256 = 0.\nAnswer: 1, 1797128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 913\/15 != 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*i = 60, 3*g = -3*i + 7*i + 36. Let o be (1\/(-2))\/((-2)\/g). Let f(c) = -c**2 - 2*c**2 + o - c + 0 + c**3 + 5*c**2. What is f(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 25. Suppose p*k + 32 = 2*r, 8*k - 105 = -5*r + 3*k. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 + -1482. Let q = -1091 - g. List the prime factors of q.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5086 - -5086. Let h be (-11)\/(-12) + 2\/(-3). What is the closest to c in h, 3, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(12) + 2*sqrt(972) - sqrt(12))\/(sqrt(288)\/sqrt(8)))**2.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 12) to base 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-126)\/(-12))\/((-3)\/4). Let b = -6 - r. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**2 - 1. What is the remainder when -1 + (38\/2 - 0) is divided by d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:58 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -42*d - 14. Let a(w) = 83*w + 30. What is -6*a(z) - 13*v(z)?\nAnswer: 48*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x**2 + 3*x + 3. Let w(c) = 24*c**2 - 10*c - 10. Calculate -20*s(u) - 6*w(u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 8*w**2 - w + 8. List the prime factors of n(-6).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n - 82. What is the hundreds digit of a(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/32)\/((-8)\/(-32)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4628935454 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4054555958 to the nearest integer?\nAnswer: 63675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31998 - -88961. What are the prime factors of r?\nAnswer: 56963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/4 - r**3\/3 - r**2\/2 + r + 9. Factor f(u).\nAnswer: (u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -1.98. Let u = 9 + -10. Which is the closest to u? (a) k (b) 0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.0552 minutes in days?\nAnswer: 0.466705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 455881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4493225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 13*m**7\/210 - m**6\/45 + 320*m**3\/3 + 261. Let q(v) be the third derivative of h(v). Factor q(c).\nAnswer: 4*c**2*(13*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 2, p: 3, m: 4}. Give prob of picking 1 g and 1 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-20))\/((-99)\/(198\/18)). Let g(t) be the first derivative of 3\/8*t**2 + 1\/2*t + c*t**3 + 43. Factor g(a).\nAnswer: (a + 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 1\/36*n**4 + 5*n + 0 + 0*n**2 - 1\/18*n**3. Factor c(d).\nAnswer: d*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 3) to base 16\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -14*t - 27. Let i(v) = 13*v + 28. Let a(c) = 6*h(c) + 5*i(c). Differentiate a(p) wrt p.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.382.\nAnswer: 1.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/45 + 2\/9. Let z = 114\/11 + -592\/55. Which is the nearest to -1? (a) z (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*2\/((-36)\/(-15)). Solve -g*a + d - 3*d + 7 = 0, 16 = -4*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41649748.8*-0.5\nAnswer: 20824874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n + 390*n**6 - 182*n**2 - 434*n**6 + 3165*n**6 + 449*n**6 + 2514*n**6 wrt n?\nAnswer: 730080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -13 + 8 - 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1216 and 32499576?\nAnswer: 259996608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f, 0 = 2*p + 4*f - 54. Is p a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63921563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 13) in base 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1309011491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5*d - 2. Let c be u(-4). Suppose 0 = 2*r - 6*r + 32. Let x = -5 + r. Solve -11 = l - x*j, 2*l + 10 - c = -j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5*d**2 - 12*d**2. Let j(m) = -m. Calculate j(u(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Suppose 18 = -o + 4*o - p*f, -1 = -5*o - 3*f. Suppose 2*t = 2*h + 3*t - 12, -3 = h + 5*t. Solve 3*k - h = o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 9, 12?\n\"Answer: 3*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -15*t**3 + 16*t**2 + 15*t + 756. Let a(j) = 10*j**3 - 10*j**2 - 9*j - 504. Determine -8*a(o) - 5*h(o).\nAnswer: -5*o**3 - 3*o + 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5 + 1133\/227). Find the third derivative of 4*m**4 - 7*m**6 - 440 + 218 + c - 2*m**2 wrt m.\nAnswer: -840*m**3 + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:37 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 39260.16km?\nAnswer: 39260160000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6) + (-37)\/222*(81 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5\/2 + 71*g**4\/2 - 65*g**3 - 285*g**2 + 1251*g\/2 - 621\/2 = 0.\nAnswer: -3, 1, 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 47 = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 171 + (-19 - 80)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2004 and 1416?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24016 divided by -24016.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 6*z**2 + 1. Let l(f) = 70*f**3 - 24*f**2 - 2*f + 8. What is l(g) - 4*v(g)?\nAnswer: 66*g**3 - 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1*5)\/(-5*(-9)\/45)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 9*u**2 + 9*u - 5. Let l be c(8). Let -8*f - 6880*f**5 - 7*f**4 - 12*f**2 + 35*f**4 + 12*f**l + 6892*f**5 = 0. What is f?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32690 and 1302930.\nAnswer: 9120510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -101*z**3 - 2*z - 2. Let f be q(-1). Let j = -84 + f. Calculate the greatest common divisor of 85 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 41 - 20 = -c, v + c - 4 = 0. What is the fourth biggest value in -1\/2, 0.2, 2\/191, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4 - 0) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 0.3 (c) 5 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*v + 105*v - 2037 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2.2157 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-90) - (-558)\/(-30). Let y(u) = -u**3 - 18*u**2 + 18*u - 4. Calculate y(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -246001 or 2\/265?\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169 + 211. Calculate the greatest common factor of d and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2851, 2853, 2855?\n\"Answer: 2*y + 2849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 7*f**3 - 2*f + 9*f**2 - 10*f**4 + 2*f**4 + 9*f**3 = 0 for f.\nAnswer: -1, -1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -603*p**4 + 754 - 1312*p**4 + 969 + 481*p**4 - 241*p**4 with respect to p.\nAnswer: -6700*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**2 + 979*s - 8614. Calculate p(9).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 6 = -6*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 2*a + 102. Let l = -4 + 7. Let m = -0.4 + 0.1. Sort a, m, -0.05, l in increasing order.\nAnswer: a, m, -0.05, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(2 - 15\/27*(-24 - -27)). Solve -z + 2 = -a, -15*z + w*a = -18*z + 24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 2*v**3 - 27*v**4 - 342 + 342 to the form n*v**4 + k*v**2 + z + t*v + d*v**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 7*j**2 + 2*j + 5. Give a(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 17*f**2 + 5*f + 77. Suppose 0 = 3*j + 3*a + 36, -4*j + 2*a = 7*a + 53. What is the units digit of h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i + 0*i)*(-8*i - 7 + 1 + 8 + 2 - 2 + i + (-3 + 5 - 1)*(0*i + 4*i - 5*i) + 3*i - 2*i + i) as k*i + p + n*i**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*248033\nAnswer: -148819.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3744376 (base 8) in base 13?\nAnswer: -2a2b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5184*b - 260242 = -68434 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**7\/3780 - m**6\/810 + m**5\/180 + 7*m**3\/3 - 2*m. Let a(x) be the second derivative of w(x). Factor a(g).\nAnswer: -2*g*(g - 1)*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2739 divided by -913\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Suppose n*k = 2*k + 4. Solve -j + k*i + 0*i = 0, -2*j - i - 5 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011011110 + -11?\nAnswer: -10101011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 - 1\/160*y**5 + 0*y**2 + 1\/48*y**3 + 0*y**4 - 12*y. What is j in w(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w = 12. Suppose w*z = 5*z - 2. Solve 3 = c - z*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddqdqdq. Give prob of sequence qdqd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -17*t + 26. Let p be u(1). What is the highest common factor of 30 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62000 is divided by 249?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4 + q**2 - 3*q - 5*q + q. Suppose -3*t + 5*n - 8 = -t, 3*t - 5*n = -2. What is r(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) -1.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f - 8. Let t(k) = -4*k - 2. Suppose 3*n + 6*i - 5*i = 197, -4*n + 268 = -4*i. Suppose -11*u - n = -14*u. Determine u*t(j) - 6*b(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*d - 34*d + 1628 = 429 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91896540.\nAnswer: 2, 3, 5, 19, 80611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519017?\nAnswer: 3, 506339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i + 4 = 0. Let k be (2\/3)\/(0 + 4). What is the second smallest value in k, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*y + 14 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from oqoaooqoqqaqaoq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, o: 2, c: 2, a: 2, h: 1, t: 1}. Give prob of sequence tc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1105748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.01376 + -0.01376. What is the second biggest value in 1.2, 13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - -4) - (6 + (13 - 29)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 35, 5, 2\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850315513?\nAnswer: 1733, 490661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241*h**4 + h**3 - 5*h**2 + 12*h - 36570556 with respect to h.\nAnswer: 964*h**3 + 3*h**2 - 10*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -0*l + 4*l - 50, -40*x + 78*x - 227 = 11*l + 42*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o + 12. Determine g(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92216 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1222021, 4888043, 10998081, 19552135, 30550205?\nAnswer: 43992291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 plus 3185113116584?\nAnswer: 3185113116581.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + -1 + sqrt(1584) + 1)*3)**2 + 2)*4 + 2)*-6.\nAnswer: -342204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17602?\nAnswer: 2, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 44, -1, 10 in descending order.\nAnswer: 44, 10, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.02 - -0.02. Let d = -2 + 6. Which is the third biggest value? (a) g (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, 1\/2, -4264, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 737 and 19631.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2515, 4, 0 in decreasing order.\nAnswer: 4, 0, -2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*v + 34, -90 = 5*f - 85. What is the least common multiple of 79\/4 - (-2)\/8 and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/202 or 1?\nAnswer: -5\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14748 is divided by 507?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -1\/12, 223\/5 in decreasing order.\nAnswer: 223\/5, 1, -1\/12, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35093 divided by 35093?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -283 - -1408\/5. Let y = 16\/15 + r. Which is the third smallest value? (a) y (b) -2 (c) -4 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, -5, 2 in increasing order.\nAnswer: -5, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/2 - -25\/14. Let x = -0.1 + 0.2. What is the nearest to k in x, -0.5, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -11*n**5\/120 - 17*n**3\/6 + n**2. Let d(w) be the first derivative of q(w). Let l(a) = 2*a. Determine d(l(i)).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896 and 29056?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*x + 335*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.509049 + 0.490922. Let p = b + -4. Round p to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2293*d**5 - 2*d**2 + 393?\nAnswer: 137580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**2 + 1 - 1 - 3*q**2 + 2*q**2 + 3*q**2 + (-1 + 2 + 0)*(-q**2 + 4 - 4).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*l - 276. Suppose 5*j - 76 = -4*c, 0 = -3*c - 7*j + 2*j + l. Suppose 6 + c = 2*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10731\/(-438))\/(7\/(-42)*3).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940395 divided by -16873?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26157118 and 5644.\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-3 + 3) - 20. Let l = 16 + b. Let w be -5 - (-3 + (-5)\/5). Sort w, l, 3.\nAnswer: l, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(7 + 345\/(-46))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -40*v - 356. Let b be d(-9). Let q be 2\/2*2 + 0. Suppose -b*o - 20 = 0, -f = -0*o - q*o - 41. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/6 + 4175*t\/3 + 2785\/2.\nAnswer: -5*(t - 1671)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/3)\/((-1)\/3). What are the prime factors of x + 32 + -3 + -1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + 2*k)*(0*k**3 + 2*k**3 - k**3) + (5*k**4 - k**4 - k**4)*(3 - 7 + 1).\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7169724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q = 20. Suppose -3*d + 1 = q. Let u = d - -5. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/18)\/(6\/24*-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 103691.08 and -0.7013.\nAnswer: 103690.3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -0*c. Solve c*u + 4 = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 10. Calculate the remainder when 33 is divided by 3 - (-4*q + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5205.\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/7 + 151*h**4\/7 - 299*h**3\/7 + 149*h**2\/7 = 0.\nAnswer: 0, 1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 582 and 2946.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 + 124*n**4 - 1332*n**3 + 4212*n**2 - 4320*n.\nAnswer: 4*n*(n - 3)**3*(n + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27323 = 9*j - 203 - 20192. What are the prime factors of j?\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -209, -213, -217, -221?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + 569*y + 8212. Calculate h(-15).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 233 - 5 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/1140 + 47*b**5\/570 - 4*b**4\/19 + 9*b**2 - 11*b. Suppose g(f) = 0. What is f?\nAnswer: -48, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 7:16 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(3\/((-6)\/(-4))). Which is the nearest to 0? (a) o (b) 1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 154*q - 1173. Let g be a(8). Let y(d) = -4*d + 47. Let n(l) = 6*l - 70. What is g*n(c) - 8*y(c)?\nAnswer: 2*c - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 318. Calculate f(-70).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 3. Let j(x) = 2*x**3 - 5*x**2 + 3*x - 2. Let m be j(3). Let n = m + -16. Determine k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ff9 (base 16) in base 8?\nAnswer: 7771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 7*y**5\/10 + y**4\/8 - y**3\/6 - y**2. Suppose 0 = 2*g - 1824 + 1822. Does 11 divide u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-26)*(-2)\/8\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-100)*30\/36.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.12 - -0.12. Let j = 3 - 2.9. Which is the third biggest value? (a) -5 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 3*j**3 + 3*j**2)*(-9 + 3 + 14).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8 + 2 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 599382.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -941 - 20399?\nAnswer: -21340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152728 is divided by 756?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*l - 68*l - 2052. Solve -l*j = -24 - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -28\/7957, -4, -226, 0.1?\nAnswer: -28\/7957","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29442847, 58885704, 88328563, 117771424, 147214287, 176657152?\n\"Answer: w**2 + 29442854*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2484.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*q - 31 = -5*f, 5*f - 3*q = 5. Suppose -f*w + 8*w = 88. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151 - 477 - 1526 + 322)*(-14*i + 10*i - 13*i).\nAnswer: 31144*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-278*z + 173 - 173)*(2 + 9*z + z - 8*z)*(-4*z**2 + 2*z**2 + 5*z**2) to the form q + w*z**3 + t*z + r*z**4 + i*z**2 and give w.\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17733 is divided by 182?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-4) - (-4 + 459)\/35)*-66?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 20, -3*a = -x - 12. Let q be x\/((16\/4)\/4). Solve -5*m + 39 - 14 = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - h - 2531 = 0, l - 3*h = -4*l - 6333. Let t be (l\/9)\/(2\/(-123)). Suppose -9*v + t - 56 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*o**4 - 1040*o**3 - 2496895*o**2 wrt o.\nAnswer: -384*o - 6240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812922 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d - 1. Find o, given that -5*o**4 - 2*o - 30*o**2 - 21*o**d + 40 - 18*o + 46*o**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4838 and -2.\nAnswer: 4836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5\/4))**(-11) assuming r is positive.\nAnswer: r**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/112)\/(((-3)\/4)\/1). Let j = -0.47 + 0.4. Let x = j - 0.13. Which is the nearest to q? (a) -5 (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32502*h + 7657.\nAnswer: -32502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/5*(-90)\/(-36). Let g be (-3 - (0 + -3))\/(-2). Let x be 3\/6*(0 + g). Put 3, z, x in descending order.\nAnswer: 3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7 = -i, -4*i + 0*i = k + 8. Let g be -5*i\/((-1)\/(-1)). Solve -g = -q - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 0*r**2 + 0*r**2 + 10*r - 7 - 1. What is the tens digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1816942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 280, -86.36 in descending order.\nAnswer: 280, 3, -86.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 183001704 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43605*z - 7*z**2 - 43605*z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -6*l. Suppose -b - 4 = -l, -4*b = 4*d - 252. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*c - 72607 = -95398 for c.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -218135.5811 rounded to the nearest ten?\nAnswer: -218140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827407179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c7ba + -2?\nAnswer: -c7bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242 - -417. What is the greatest common factor of 315 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 24. Let f(n) = 6*n + 24. Let t(q) = 3*c(q) - 2*f(q). Let a be t(-6). Let m be a\/6*(1 - 0). Solve 3*y + m = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k - 55. Suppose 2*t - 3*j - 21 = 2*j, -20 = -4*j. Does 12 divide z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2\/5 (c) -7 (d) 3\/4 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.14607166 to three decimal places.\nAnswer: -1.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92 + -470466?\nAnswer: -470394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from taaltctccltfltt.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141416417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 154\/1716 + 2\/26. Let f(v) be the second derivative of -t*v**3 + 0*v**2 + 4*v + 0. Let i(d) = -d. Determine i(f(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 4*p**2 - 3*p + 12. Let b be h(4). Put -1, -5, b in ascending order.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.75 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*4\/(-64))\/(4*(-1)\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16395 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*(-3)\/18*-9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:52 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -476, -478, -480, -482, -484?\n\"Answer: -2*i - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/7 and -67\/75350758.\nAnswer: 75350758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9321.55066 to the nearest 100.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d**3\/5 + 82*d**2 + 796*d\/5 - 144\/5 = 0 for d.\nAnswer: -2, 1\/6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11763 - 11753. Suppose -1523 - 3187 = -3*h. What is the highest common divisor of h and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*y**2 - 57*y**2 - 110*y**2 + 3*y - 97*y**2 in the form k*y**2 + z + r*y and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1222, 10577, 35964, 85399, 166898, 288477, 458152?\n\"Answer: 1336*q**3 + 3*q - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**5*s - 992*o**5 + o**2*s - 605*o*s wrt o?\nAnswer: 60*o**2*s - 59520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6035 and -31.6280823.\nAnswer: -31.0245823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z**2. Let q(i) = 1. Let f(b) = -18*b + 45. Let o(t) = -f(t) + 45*q(t). Give a(o(v)).\nAnswer: 2592*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-10)\/(-3). Let s(f) be the third derivative of 0 - 1\/24*f**4 + 0*f - 2\/3*f**3 + 32*f**2. Calculate s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 + 377 = 5*p + o, 0 = 3*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0009 in 74, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27400527.\nAnswer: 3, 7, 11, 19, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4\/5, -2\/3, -388 in descending order.\nAnswer: -2\/3, -4\/5, -8, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17297 and 5295?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1 - (24 + -4). Let u be (16\/b)\/(2\/(-30)). What is the highest common divisor of 96 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -5*y**4\/24 + 4*y**3\/3 + 8*y**2. Let p(t) = 6*t - 9. Calculate -6*p(r) - 7*x(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*g - 26 - 415*g - 8*g**3.\nAnswer: -8*g**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3, -2*o + 11 = c + 2*c. Sort -2, -5, o in descending order.\nAnswer: o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*n - 92*n - 153*n + 65*n in the form v*n + p and give v.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 24. Sort y, 0.4, 4 in ascending order.\nAnswer: y, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 - -210?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24000 and 1557600.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*p + 260*p - 378*p)*(-2*p**2 - 1 + 1).\nAnswer: -148*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1336, 1805, 1500, 409, -1480, -4179, -7700?\nAnswer: -12055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55880 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**5 + 1297*s**4 - 6*s**3 + 629983*s wrt s?\nAnswer: -20*s**3 + 15564*s**2 - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r. Let b be g(7). Let d = 41 - b. Let x = d - 2. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 13) to base 9.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 941372 to the nearest 10000.\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -7*w**6\/30 - 11*w**4\/12 - 22*w - 16. Let t(g) be the first derivative of a(g). What is the third derivative of t(u) wrt u?\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*d + 7. Let y = 2689 + -2443. Suppose -2*f + y = 2*n, -4*n + n + 496 = d*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i + 4 - 2 - 5 - 15*i - i**2. Suppose 84 = 4*s + 116. Calculate r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1036 and -2\/152691.\nAnswer: 22598268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 444?\nAnswer: 5\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 2)*(-2*i + i - i) + 81 + 28*i - 30*i + 48.\nAnswer: -12*i + 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.435 + 5.428. What is the closest to 1\/4 in g, -3, -0.08?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8569 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 458*b - 391*b - 12*b**2 + 1094*b + 9*b**2 + 41*b to the form c*b + r + i*b**2 and give c.\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pggl when four letters picked without replacement from {g: 13, p: 1, u: 5, l: 1}.\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9715906 or 9715908?\nAnswer: 9715908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + q = 3, 0 = 2*q - 9 + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w - 14*w**5 + 11*w**5 + 3*w**2 - 5*w**2 + 2*w**4 + w**5 - 2*w**4 + 2*w**5 + 3*w**5 - 4*w**5 + (-w**5 - w**5 - w**5)*(2 + 0 - 4).\nAnswer: 5*w**5 - 2*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65325043, -65325034, -65325019, -65324998, -65324971, -65324938?\nAnswer: -65324899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/459 and -38\/357.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - b + 48. Suppose 9*w - 26 = b*w. Let k = 26 - w. Solve 0 = -c - k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122887?\nAnswer: 122887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 7*u - 4. Let w be x(-6). Is 19\/6 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.435034 to 2 dps.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -40. Let p be (-37)\/(-116) - 2\/x. Are 0 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -7*o**5\/5 + 86*o**4\/5 - 234*o**3\/5 + 256*o**2\/5 - 119*o\/5 + 18\/5 = 0.\nAnswer: 2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2. Let l(v) = 206*v. Determine m(l(g)).\nAnswer: -212180*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 8*d + 12 - 1\/6*d**4 - 4\/3*d**3 - 5\/3*d**2. Factor n(b).\nAnswer: -2*(b - 1)*(b + 3)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -568 - -571. Suppose 0 = 2*c + 2*c - 16, 45 = l*v + 3*c. Let j(k) = 9*k - 5. Let u(b) = 3*b - 2. What is v*u(h) - 4*j(h)?\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18421 - 9212 - 138*r - 9211 to w*r + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14189107 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 764703885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 8, 23, 46?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 296*m**2 - 5204*m - 5504.\nAnswer: -4*(m - 43)*(m - 32)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -28054?\nAnswer: 28053.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 101 + 137 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - 55*s + 16. Let m be 6\/3 + (-114)\/(-19). Calculate the least common multiple of t(m) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 18. Let y be z(-11). Suppose 0 = -y*p + 27 + 13. Calculate the greatest common divisor of p and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 p when four letters picked without replacement from pzppppzpppppzppp?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 1892. Let g(w) = 4*w**2 + 14*w - 14. Let u be g(-7). Suppose 0 = d - v - u. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 33 = 5*i, -4*f = -2*f + 4*i - 12. Let x = 5 + f. Let y be (0 - -1)\/(x - 0). Sort y, 0, 4 in ascending order.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - 28\/(-12). Suppose 0 = -o*r + r + 2. What is the third derivative of 2*v**3 - 3*v**r + 2*v**2 - 3*v**3 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -376 + 379. Suppose -2*j = z + 20, 3*j + 8 = 3*z - 31. Let r = 7 + j. What is the biggest value in r, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 5, c: 1, s: 1, r: 3, k: 4}. What is prob of sequence rw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1746, 0, -4 in decreasing order.\nAnswer: 8, 0, -4, -1746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 + 1497*m**3 - 1044*m**2 - 178088*m + 252 wrt m?\nAnswer: 24*m**2 + 8982*m - 2088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 24. Let x be o(10). Let q = 23 + x. Is q != -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840 is divided by 124.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -1\/840*z**6 - 3*z**2 + 0*z - 10 + 1\/42*z**4 + 2\/21*z**3 - 1\/420*z**5. Let o(m) = 0. What is m?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.075800022 less than 11?\nAnswer: -7.075800022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10561307 is divided by 35801.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7480.39 minutes?\nAnswer: 448823400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 184*b**3 - 352*b**2.\nAnswer: -4*b**2*(b + 2)*(b + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -649 + 703. Solve 16*s = b*s - 76 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*i + 25174 = -14682 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = u, 3*w + u + 7 = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37238211 and 6885?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7675 = 539. Let p = f + -19207\/7. Let h = -2586 + 25901\/10. Calculate the common denominator of h and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**3 + 10732772*m**2 + 521649187?\nAnswer: 6*m**2 + 21465544*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/5)\/(8\/10). Let q = -129.7 + 130. What is the biggest value in 1, q, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/2 - 19*n**4 + 177*n**3\/2 + 236*n**2 + 128*n = 0.\nAnswer: -1, 0, 8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4871878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -455313 (base 7) in base 16?\nAnswer: -13cd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-183)\/(-27) + 2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6022 - -4?\nAnswer: -6016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65890935 and 11583?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**35\/m**(-28))\/(m\/(m\/((((m\/(m**6*m))\/m)\/m)\/m)*m*m))**(-44))**11 assuming m is positive.\nAnswer: m**(-4631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 355*r**2 - 630*r - 160.\nAnswer: 5*(r - 2)*(71*r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1011 - -1092. What is the biggest value in -2\/3, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 2*k**2 + 16*k - 7. Let y be (-1 + 0)*(-87 - -4). Let t = y + -78. Let z be s(t). Let g(n) = 13*n + 3. Give g(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.674? (a) 22 (b) 0 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -72*b**2. Let c(w) = 7*w - 1. Let z(m) = 41*m - 5. Let r(y) = 5*c(y) - z(y). Give r(o(d)).\nAnswer: 432*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5080 - -5832.44?\nAnswer: 752.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-220)\/(-60))\/((-2)\/(-6)). Suppose 2*r + 11 = 77. Let a be r\/2*2\/3. What is the greatest common factor of a and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -298 - -4252304976\nAnswer: 4252304678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0219131 and 0.3.\nAnswer: 0.3219131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -94554 * 110\nAnswer: -10400940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)*(v**9*v)\/v*v*v*((v*v**(-2)*v)\/v)**(-3\/11) assuming v is positive.\nAnswer: v**(609\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -4.58\nAnswer: 8.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 4. Let m(a) = -a**3 - 4*a**2 - 2*a - 5. Suppose -z = 2 + 2. Let p be m(z). Suppose 2*l = 1 + 3. Let b(s) = -s + 3. Give l*u(j) + p*b(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30796572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -380002 - -1900014\/5. Solve c - 3\/5*t**2 - 3\/5*t**4 + 2*t**3 - 12\/5*t = 0 for t.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276781807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 - 14 - 1*-6. Suppose -q*b + 27 = 7. Is b\/(-10) + 622\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6.36. Let t = x + -0.06. Which is the second biggest value? (a) 0 (b) t (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -28825221?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13908*d + 13908*d + 367*d**3)*(0 + 1 - 3).\nAnswer: -734*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.006, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 180 = -51*a. Let u = a + 45. Put u, -5, -16 in ascending order.\nAnswer: -16, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6618 + 11897. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0187434 times -10\nAnswer: 0.187434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 56 = 4*n, 8*c - 9*c + 10 = 3*n. Suppose -2*z = -8*g + 7*g - 58, 0 = 4*g - c. What is the remainder when (5 - -2)*(-90)\/(-7) is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13609 and 248474?\nAnswer: 7702694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u - 2*u - 178 - 47. Solve 8 = -4*d - 4*w, -13*w = -d - u*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/10*(770\/121 - 6). Suppose -5*u = -3*u - 60. Suppose -u = -4*r - 10. Put 2, d, r in descending order.\nAnswer: r, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -15*g. Let i(k) = -1380*k**2 + k + 3. What is m(i(d))?\nAnswer: 20700*d**2 - 15*d - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 3:43 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -55, -61, -69?\n\"Answer: -i**2 - i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*l - 27. Let k(f) = -2*f + 2. Let b(x) = -2*x + 1. Let g(h) = -4*b(h) + 3*k(h). Give g(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 13*o + 10. Let v be h(-5). Let b = 144 - v. What are the prime factors of b?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/254 and 115\/109728?\nAnswer: 109728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 654*h + 4*h**3 + 1304*h + 18*h**3 - 28*h**3 - 650*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 10\/11 (c) -2 (d) 313 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*r + 40, -5*v - 2*r + 60 = -4*r. What is the smallest common multiple of v and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, f: 2, c: 6, r: 1}. What is prob of picking 2 f and 1 l?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 740.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**9\/15120 - m**7\/840 - m**4\/6 - m. Let b(c) be the third derivative of g(c). Find the third derivative of b(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.4. Suppose 0 = 4*i - 3*b + 57 + 14, -i = -5*b + 39. Let x be 3\/6*i + 3. What is the second smallest value in q, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 5 (c) -0.1 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 9 = -0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2576 - 2575.6. Let k = -0.7 - -1.2. What is the third smallest value in k, g, -1\/2, 18?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Determine u, given that -1\/3*u + k*u**2 + 1\/3*u**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-60 - -58 - (0 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 11 = -16. Let i = w - -5. What is the units digit of 8\/(4 - (-14)\/i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -207, -920, -2141, -3870, -6107?\n\"Answer: -254*f**2 + 49*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4697, -4585, -4481, -4391, -4321, -4277, -4265, -4291?\n\"Answer: -h**3 + 2*h**2 + 113*h - 4811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*t**3*y - 146*t**2*y**2 - 2189*y**2 wrt t.\nAnswer: 18*t**2*y - 292*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 19. Let k be s(10). Suppose 18*p + 15 = k*p. What is the second derivative of -14*r**4 + p*r - 11*r - 4*r - 3*r wrt r?\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 204\/21 - (-2)\/7. Let l(s) = -s**2 + 10 - 3*s**2 - 4*s**2. Let g(z) = z**2 - 1. Let d = -3 + 4. Determine d*l(q) + w*g(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b, -2*c + 3*b - 10 = b. Let i(m) = -22*m**2 - 11*m - 27. Let h(a) = 15*a**2 + 7*a + 19. Let y(s) = -7*h(s) - 5*i(s). Is y(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**3 + 2*h**2 + 932*h - 13339 wrt h.\nAnswer: -12*h**2 + 4*h + 932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3264.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 622 and 23396.\nAnswer: 24018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m + 1243 - 15*m - 1221.\nAnswer: 2*m + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 + 142 = -9*x. Suppose x*c - 2*j - 2 = 0, 4*j = -24*c + 23*c - 4. Solve -2*s + 7*s + 5 = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g - 51 - g**2 + 13*g**2 - 13*g**2 + 3*g**2 - 53 as i*g**2 + r*g + u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653?\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -112443272?\nAnswer: -112443270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -13942.6 to the nearest 10.\nAnswer: -13940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**3 - 12*k + 20. Let d(a) = -a**3 + a. Determine 10*d(i) + q(i).\nAnswer: -2*i**3 - 2*i + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -493 - -498. Solve 0*u - 5*x = u + 5, -2*u - 5*x - q = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064176.\nAnswer: 2, 19, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3\/3 + 7*f**2\/2 + 36*f - 21. Does 3 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134357210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 0*l + 3*l + (4 - 2 - 4)*(18*l + 6*l - l).\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-24)\/(-990))*22\/6. Let d(s) = -5*s + 5. Let n be d(-10). Calculate the greatest common divisor of n and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 3. Suppose -2*o + 23 = 2*i - i, 25 = -5*i. Suppose -8*n + o + 2 = 0. Let s(b) = -2*b - 6. Determine n*s(c) + 5*f(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1932163 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 99*y + 44. Determine f(34).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmaammmmmaaammm?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 18582778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(1296\/(-1061)) - (-1)\/1. Let b = -5\/8 - t. Is b bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*l**3 + 6*l**3 + 82*l**3.\nAnswer: 630*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/24 - 5*u**3\/6 + u**2. Let b be n(6). List the prime factors of (1 - b) + 8\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -7, -50, -129, -256, -443, -702?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3853, -15332, -34463, -61246, -95681, -137768?\n\"Answer: -3826*c**2 - c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 41. Let c be w(17). Let f(m) = 33*m + 37. List the prime factors of f(c).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 549485709 or 549485711?\nAnswer: 549485709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/8 - 477\/(-24). Suppose 3*o = 5*g + 28, 5*o - 2*g - g = t. Suppose -i - 5*v - 22 = 0, 0*i - 2*v - 4 = 2*i. Put o, i, -5 in decreasing order.\nAnswer: i, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 241575, 241573, 241571, 241569, 241567, 241565?\n\"Answer: -2*m + 241577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hev when three letters picked without replacement from {z: 1, v: 3, w: 1, e: 1, h: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1279983 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {f: 2, e: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 9*v - 9. Let k = -11 - -20. Let m be t(k). Which is smaller: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = -5*b - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010010101001011 (base 2) in base 7?\nAnswer: -431621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Let v(y) = 2*y**2 + 21*y - 31. Let r be v(-12). Suppose 0 = 4*u - 0*b - r*b - 207, z = -5*u - 5*b + 225. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 8*u + 13. Is (-78)\/(-15)*(7 + u) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2166*v + 176. Let q be j(9). What is the tens digit of (9 - 1) + q\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (468*r**3 + 1299*r**3 - 251*r**3)*(2*r + 0*r - r + (2 - 2 - 1)*(0*r - 3*r + 2*r) + 4*r + r + 5*r) to m*r**4 + v*r**3 + f + t*r + p*r**2 and give m.\nAnswer: 18192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22)\/8)\/((-3)\/(-12)). Let n = -8 - g. Determine t so that 12*t**2 - 6*t**n + 2 - 12*t**4 + 7*t + 2*t - 2 - 3*t**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m - 5. Let c be o(4). Let b = 24 - c. Solve -7 - b = -3*q - 3*g, 3*q = 4*g + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 1, l: 1, u: 1, t: 2, p: 1}. What is prob of sequence pxti?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**3\/3 + 2*n. Let a(z) = -z - 2*z + z + 4*z. Calculate f(a(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-76)\/(-152) + (-27)\/78. What is the closest to 0 in y, -5, 277?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**15*s**(2\/45) assuming s is positive.\nAnswer: s**(-583\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + (0 - 1) - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-1 - -2) + 115 + 819885. Let d(i) = 164925*i + 5. Let z be d(4). Suppose -z = -4*a - 5*f + 980285, 2*f = 2*a - h. Round a to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14583 - 31608*b**2 + 31646*b**2 + 14583.\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461 is divided by 182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10\/7 of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.1 (c) 1 (d) -0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 365 and 3791.\nAnswer: 1383715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 42?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = 3*p - 62, -4*t = -5*p + 126. Let o = -48 - t. Calculate the least common multiple of 14 and (o\/6 + 0)*(0 + -24).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**3 - 104*n**2 + 8*n + 68. Let j(c) = -7*c**3 - 104*c**2 + 7*c + 74. Let i(p) = 6*j(p) - 5*k(p). Factor i(r).\nAnswer: -2*(r - 1)*(r + 1)*(r + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201112011 (base 3) to base 4\nAnswer: -3132121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 18, -3\/8, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(143)*5 - sqrt(143))\/sqrt(11)) + 1.\nAnswer: -3*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 3, -2, -70 in decreasing order.\nAnswer: 3, 2, 1, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -1. Suppose 15 = 5*i - 3*b, 5*i + 2*b = j*b + 15. Suppose s = i*s. Is -1\/5 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36881 - -36883. Let y = -4.63 - 0.67. Let c = y + 5. Sort b, c, -3 in increasing order.\nAnswer: -3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18138 and 36276?\nAnswer: 36276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 269*p**2 - 132*p**2 + 30*p**3 + 23*p**3 - 211*p**2 in the form m*p**2 + o + a*p**3 + i*p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11*(-60)\/396 + 1178\/720 and -103\/1728?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b - -1d84b15?\nAnswer: 1d84b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 78*x**2 + 151*x - 76. Let s be r(-76). Solve 5*j = -i - 3 - 7, s = 5*j + 3*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + 1 + 0.\nAnswer: 1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/36*(-2)\/12)\/(9\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469834?\nAnswer: 2, 234917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 2, p: 1, l: 1, c: 1}. What is prob of picking 1 c, 1 l, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-78) + (-1696470)\/(-26). Suppose 5*g - i = -2519. Is (-7)\/(42\/g)*(-1)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.09472267 to one dp.\nAnswer: -59.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvz when three letters picked without replacement from zvdfzki?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g - 4. Let k be (g - -1)*1*1. What is n in -4*n**2 - n**2 + 2*n**2 + k*n**2 + 1 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-62*(0 - -1) + 1)*-1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -3, -1, 1, 3, 5?\n\"Answer: 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*f)*(6459 + 1189 - 1148) to i + m*f and give m.\nAnswer: 13000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 10:39 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 2)*(-3 + 3 - 2)*(-3*c - 2*c + c).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-108)\/22 - (-6)\/(-22). What is the closest to p in -1.4, -9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**2 - 4*d - 2\/15*d**6 + 1\/6*d**3 + 0 - 4\/7*d**7 + 17\/24*d**4 + 37\/40*d**5. Let c(n) = 0. Calculate n.\nAnswer: -2\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2537092 is divided by 1444.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5*o = -10, -m - 11*o + 20 = -8*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1177*i + 6*i**4 - 3*i**2 + 586*i - 5*i**4 + 582*i - 1 + 4*i**3 - 5*i**4 as q*i**2 + h + l*i**4 + x*i**3 + f*i and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 10\/6)\/((-31)\/6510). Factor 162*a + h*a - a**2 - 3*a**2 - 270*a - 28.\nAnswer: -4*(a - 7)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5 - 824*b**4 + 1772*b**3 + 22464*b**2 - 432*b - 89856 = 0.\nAnswer: -208, -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3552184 is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 3, v: 10, s: 5, p: 1}. What is prob of picking 1 v, 1 p, and 1 i?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.109 and 2917935.\nAnswer: 2917935.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -3*w**4\/28 - 4*w**3\/7 - 15*w**2\/14 - 6*w\/7 - 7. Solve x(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - -1.34. Let v = -8.4 + h. Let d be -4*5\/(-81 - -11). Which is the second smallest value? (a) d (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 410229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82512 - 7433. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268 and 26867.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126 - 75. Let w = d - 27. Let z = -24 + w. Which is the smallest value? (a) -3 (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46420, 0.53, -1.\nAnswer: -1, 0.53, 46420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -26*n - 6. Let s(w) = -5*w - 1. Let d(j) = -11*s(j) + 2*u(j). Let t be d(2). Let o = 5 - 10. What is the third biggest value in t, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65068.\nAnswer: 2, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -11*5\/45 - -1 - 72476\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 518.41 times 0.3?\nAnswer: 155.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1300) - -1*sqrt(1300))*6)**2 + (-1*-4*(sqrt(39)\/sqrt(3) - sqrt(13)))**2 + 5)*-2.\nAnswer: -374418 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*i - 10, -4*i + 13 = -5*u + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 2*s**2 - 2*s + 54 - 54. Let u be a(-1). Solve 2*y + 7 = -u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and -53.\nAnswer: 74.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(((i*i**3*i)\/i)\/i)*i\/i**(-3)*(i*i**1*i)**(1\/44) assuming i is positive.\nAnswer: i**(91\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*y - 5*m, 3*y - 1 = y - 5*m. Suppose z - y*z = x - 15333, 22998 = 3*z + x. Let k = -21335 - z. Round k to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438959?\nAnswer: 3, 67, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 992282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39, -194, -453, -816, -1283, -1854, -2529?\n\"Answer: -52*b**2 + b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17227 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 + 4*m**3 - m + 0*m**4 - 3*m**2 + 11*m**4 to j*m + n*m**4 + p*m**3 + y + r*m**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 13*y - 7. Let t be u(-12). Let q = -1 + 1. Let k = 61\/180 - 4\/45. Which is the closest to -0.2? (a) k (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*(39 + -47)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfk when three letters picked without replacement from xtwfpxktp?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2 - j + 4*j + 0*j. Let u be s(5). What is the highest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11466337 divided by -266659.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -13.0187958.\nAnswer: -13.0787958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15456 divided by 24.\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4) - -1)*0. Suppose i = 2*b - 20 + 4. Suppose 2*c + c - 3 = 0. What is the greatest common divisor of b and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 175?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4 + 1 - l**2 + 3 + 1 - l. Give p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319408009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216748*m - 216748*m + 29*m**3.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b + 8*b - 19*b. Let q(r) = 3*r - 3. Give 4*a(i) + q(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41208 times -1?\nAnswer: 41208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 6*a - 17*a - 8*a. Let t = -32 - -32. Let i(o) = 0*o - o + t*o. Calculate z(i(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 22. Let g = z + 11. Let m(l) = -l**2 - 13*l - 27. Let s be m(-11). Which is the third smallest value? (a) s (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10361098 by 10361098.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -36*m + 114. Is t(-6) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + 2*u**2 - 1. Let a(r) = -6*r**3 + 6*r**2 - 4. Suppose -5*y - 245 = -12*y. Suppose 43*g - y = 48*g. Determine g*x(t) + 2*a(t).\nAnswer: 2*t**3 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 - 6*q**4 + 372 - q**2 - 375 + 2*q**4 as b*q + s*q**3 + h*q**4 + a*q**2 + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/23 - 200*u**2\/23 + 5000*u\/23 = 0 for u.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2344 + -0.24. What is u rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/(165*(-4)\/12). Let t(k) be the second derivative of 0*k**2 - 49\/165*k**6 + 8\/33*k**3 - 11*k + 0 - 10\/11*k**4 + f*k**5. Factor t(m).\nAnswer: -2*m*(m - 2)*(7*m - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -1, -38, -49 in descending order.\nAnswer: 51, -1, -38, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-5))\/(1\/5). What is the tens digit of 3 - -9 - (2 + h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/70*((-35610)\/7122)\/(3*2\/2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 4118 = 9*n. Let k be (-2 + 150)*(-1 + 2). Let l = n + k. Let o(p) = p**3 - 6*p**2 - p + 5. Give o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791073 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11) - (1*sqrt(99) + sqrt(11)))*-5*6)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1903*l + 30 - 1861*l - 59 + 29.\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-17 + 38 + -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 1536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 - 10*b - 45. Let y be w(11). Let v = y - 387. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 2708.\nAnswer: 8124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86.37 + -85. Let b = 1.369898 - w. What is b rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzfffzzff. What is prob of picking 2 f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -398 or -397?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 86838504 times 0.1\nAnswer: 8683850.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/8, -4, 0.5, -5\/3, 25616?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((1 + 4 - -4) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.26626 months to millennia.\nAnswer: 0.004188855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204088 a multiple of 776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (49\/7 - -1) + -4. Solve -j*v = -0*v - i, 0 = v - 2*i + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlmm when four letters picked without replacement from {r: 1, l: 1, m: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 76 = 4*r + x, 4*r - 77 = 3*x. Let z(m) = 16*m. Calculate the least common multiple of z(1) and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -387*h + 383*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513 divided by 123919?\nAnswer: -3513\/123919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.4 + -14.6. Let c = 10 + -14. What is the closest to 2 in c, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1636)\/(-16)*14*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/2340 and 47\/54.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10496*g**2 - 34*g**3 + 10551*g**2 - 21047*g**2.\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 49027453 + 288\nAnswer: 49027741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 18. Suppose -5*s + 120 = 4*z, 5*z = -5*s + 3*s + 133. Let b = -20 + z. Solve -4*v - 4 = -w - c*w, -25 = b*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445797 divided by 33?\nAnswer: 13509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3413942.\nAnswer: 2, 7, 43, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + y - 1)*(-14 + 14 - 2*y) - y**2 + 832575 + 183*y - 832575 to the form j + d*y + t*y**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*p + 30. Let m(a) be the second derivative of -1\/2*a**3 + p - 3\/2*a**2 - 2*a. Differentiate m(y) with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-66))\/((-6)\/(-323994)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 + 50 + 356 + -280?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 4*u - 4. Calculate the least common multiple of 12 and q(5).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320010 + 2422?\nAnswer: 1322432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -94*2\/(-4)*(4\/(-34))\/((-226)\/(-1921)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 135?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6*w + 4 + 1.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 6*c**3 - 37*c**2\/2 + 72*c. What is the first derivative of r(b) wrt b?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/((-2)\/(-4)). Let i be (-5)\/(-19)*(-308)\/(-70). Let w = i - 311\/285. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + 6.1. Let p = -69 + 69.2. Which is the smallest value? (a) u (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/10*(-4)\/(-6). Let m be 19\/(-44) - 2\/(-8). Let p = 2\/9 - 8\/9. What is the nearest to 0.1 in i, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2972 and 3206045.\nAnswer: 12824180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 0*t = 75 + 63 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1715346569 + 2*n - 1715346569.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/6 - 2\/(-6). Let c = -1085 - -1114. Suppose 0 = -3*g + r*u + 43, -7*u + 2*u - c = -g. What is the lowest common multiple of 5 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 2058*h**3 + 29 + 1698*h**3 - 3515*h**3.\nAnswer: 241*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 213 - 246 - (-7 - 70)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 106 (b) 4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 0, 3*y = x - 201. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 1. Let f(j) be the first derivative of -8*j**3\/3 + 6*j + 472. What is f(p) + 6*k(p)?\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 41*h**2 - 41*h - 8695. Give q(46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10843707 (base 9) in base 10?\nAnswer: 5284366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -14*s**2 - 69*s + 2. Let z be f(-5). Let g(k) = 1 - 2 + 166*k - 159*k. What is g(z)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by -2662\nAnswer: -87\/1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 376, 441, 616, 955, 1512, 2341, 3496?\n\"Answer: 9*j**3 + j**2 - j + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 2*j)*(0*j + j + j)*(2*j + 0*j - 4*j - 2*j + 3*j + 0*j + (3*j - 5*j - j)*(7 + 17 - 10)) - j**3 + 1 - 1.\nAnswer: -87*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) -2.07 (c) -2\/55 (d) -62\/5 (e) 0.1 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 y when four letters picked without replacement from {q: 3, x: 1, c: 1, y: 4, k: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17913272, 17913279, 17913290, 17913305, 17913324, 17913347, 17913374?\nAnswer: 17913405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 237996 from 971.\nAnswer: -237025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20273 - 6?\nAnswer: -20279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1737 and 386?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1237*b - 1175*b - 3 + 6 as n + v*b and give v.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63812501.\nAnswer: 63812501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n. Let s be z(0). Suppose s = 2*x + 2*x - 12. Suppose -x*j = -51 - 27. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000492 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15170)\/42180 + 2\/76?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*s = 2*s + 28, -4*c - s + 78 = 0. Suppose 0 = -3*q + f + 25, 0*f + 2*f + c = 3*q. What is the lowest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 271, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, -2, -1 in increasing order.\nAnswer: -2, -1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (0 + 14) - (5 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1, -25410, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*n + 39 = 0, -3*z - 5*n + 57 = -n. Differentiate -z + 27*v**2 + 23 + 21 wrt v.\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 25. Let w = 148\/1045 - 2\/55. What is the closest to 2\/7 in w, f, -1\/22?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 - 5 - 5*o - 5*o**2 - 4*o**3 - o + 0*o**3. Let t be m(-4). Suppose -15 = -2*s - t*s, 0 = -5*l - 4*s + 22. Put 1, l, 3 in ascending order.\nAnswer: 1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18830598 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*k = -49*k + 1204 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.246 + 0.176. Which is the second smallest value? (a) 2 (b) z (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164081?\nAnswer: 71, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 - 0.28. Let c = 0.0818 + 18.9682. Let u = c + -19. Sort 1, u, t in ascending order.\nAnswer: t, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f + 90. Suppose 2*x - f = -4*y, x - y = 3*y - 15. Suppose -5*c = -j - 183504, -x*c + 90519 = 3*j - 92969. Round c to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/30834 and 121\/3348.\nAnswer: 1911708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 0*c**2 + 0*c**5 + 13\/3*c**3 + 0*c - 1\/6*c**6 - 8 + 0*c**4. Find the third derivative of f(y) wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(16 + 6 - 11) + 1 - 1 - 2)*(-6*n**5 + 4*n**5 + n**5).\nAnswer: 13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4128 - 12906. Let a be (r\/(-95))\/(2 - 9\/5). Suppose 3*p - a = -8*p. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 169*h - 335. Let v be c(2). Solve -4*a + 5*q + 10 = 0, -a + v*q + 6 = 4*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(115*138\/79350)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64199?\nAnswer: 43, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15 - 15 + 18*n - 24 - 35 + 11*n**2 + n**3 + 9. What is k(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2 + 7 + 0*c**2 + c**2 - 7*c. Let n be b(8). Suppose 8*d + 175 = n*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -0.1 (c) 0.01 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166724 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7284 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 663, 661, 657, 651, 643?\n\"Answer: -s**2 + s + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 315*o**3 - 3010*o**2 + 7800*o.\nAnswer: -5*o*(o - 52)*(o - 6)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1760827 + -3?\nAnswer: -1760830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -1235\nAnswer: 12\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (28\/7 + 0). Find the common denominator of -45 and ((-3)\/(-2 - -5))\/(o\/62).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = s - 504, 29*h + 986 = 2*s + 30*h. List the prime factors of s.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 12. Suppose -a*g + 0 = -4*r + 4, -10 = -5*r. Let p = 5430 - 5428. Solve -3*i - p = -3*q + q, 5*i - 2 = -g*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(-1\/3)*k)*k**24 assuming k is positive.\nAnswer: k**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -948599\/255 + 3720. Let p = -61\/51 - n. Are p and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 52. Find the third derivative of 120*w**c - 3 + 0 + 5 - 114*w**2 wrt w.\nAnswer: 7200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13149, -12851, -12359, -11667, -10769, -9659, -8331?\nAnswer: -6779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 20*s + 19.\nAnswer: (s - 19)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -11*d**2\/2 + 10*d - 19. Is b(-4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*d = -0*m + 3, -5*m + 4 = 4*d. Let q be m + 0 + 2 - -88. Calculate the greatest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m - 2. Let h(y) = -9*y - 5. Let k(z) = 2*h(z) - 5*p(z). Let n(f) = -14*f**2. What is k(n(a))?\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2340*m + 509. What are the prime factors of f(4)?\nAnswer: 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*r + 152. Let p = r + -68. Let n be 29\/p + 3\/(-12). Which is the third biggest value? (a) -0.1 (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29089, -60865, -92641, -124417, -156193, -187969?\n\"Answer: -31776*w + 2687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -2*r**2 - 10*r - 196. Give u(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose -4*i + 30 = 5*j, 4*j - a = 3*i - 9. Let p = -2.498 + 6.498. Sort -0.5, j, p in ascending order.\nAnswer: -0.5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/3 + 13652*q**4\/3 - 228624*q**3 + 11870464*q**2\/3 - 77434880*q\/3 + 37552128 = 0. Calculate q.\nAnswer: -6876, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + (sqrt(931) - (sqrt(931) + -4)) + sqrt(931) + sqrt(931) + -2 + -4.\nAnswer: -2 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -34. Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*p = 112, -14*i - 96 = -42*i + 31*i - p for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(((s**(-3\/2)*s)\/s)\/s*s)*s)\/(s\/s**(-2)))**(4\/9))**21)**(-5) assuming s is positive.\nAnswer: s**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 1. Let f(c) = 2*c**3 + 3*c**2 - 6. Let d = -1833 - -1836. Give d*z(j) - f(j).\nAnswer: -2*j**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 3206 - 22439\/7. What is the closest to 0 in f, 0.1, -35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 1. Let q be n(1). Let z be (1\/2)\/((-6)\/156). Let p = z - -13. Are q and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 - 4*w + 4*w + (-78 - 6*w**3 + 78)*(1 - 1 - w**2).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 + -2)*12\/3. Let u = h - -87. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 955 - 499 + 1790)*(-3*m + 5*m - 4*m) in the form n + y*m**2 + r*m and give r.\nAnswer: -4492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/(-14)*-7*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + q = 1435436, 0 = 9*s - 12*s - 4*q + 1435415. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*(g\/(g**(-4)\/g))\/g)*g)\/g**(-2\/9)*g**(3\/7)*g*g\/g**(1\/3))**(-23) assuming g is positive.\nAnswer: g**(989\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -3090, -805 in decreasing order.\nAnswer: 29, -805, -3090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20309330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/148)\/((-33)\/22*(-7)\/(-42)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.154 - -0.964. Let s = d + -0.618. Let i be 16\/(-7) - 2\/(-7). Which is the second smallest value? (a) 38 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877566, 1755127, 2632688, 3510249, 4387810?\nAnswer: 5265371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:38 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -255, -153, 35, 297, 621, 995, 1407, 1845?\n\"Answer: -2*a**3 + 55*a**2 - 49*a - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 19*l**2 + 17*l + 15. Let k be x(18). Is (6683\/k)\/(1\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(432)*-1 + -1 + 5.\nAnswer: 4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.2 (c) 2\/3 (d) 8328 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.101 in -5\/2, 1.86, 2\/13, 1, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 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: Suppose -55 = -5*a + 2*d, 21 = -3*a + 3*d + 63. What is the lowest common multiple of 15 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/5 - 43840768*x\/5 + 120125808676864\/5.\nAnswer: 4*(x - 5480096)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27962747 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25011, 50414, 75829, 101256, 126695, 152146?\n\"Answer: 6*n**2 + 25385*n - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 1341, 2797, 4775?\nAnswer: 7275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030227558 less than -0.08?\nAnswer: -0.110227558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23904624.999905 + -23904732. Let v = 19 + -126. Let o = h - v. Round o to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29872539 to the power of 1\/2, to the nearest integer?\nAnswer: 5466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.14. Let x = 6.26 - 7.26. Which is the third biggest value? (a) 3 (b) x (c) m (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 180 + 90. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33353 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11071633 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 228485152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s + 2*s + 2*s)*(-38950*s - 42483*s + 97057*s) as o + p*s**2 + v*s and give p.\nAnswer: -15624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 67. Let y = -69 - -90. Solve -f*l + 9*l = -o + y, 5 = o + l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 20.8, 0.3, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 + (-44)\/6. Let h(o) = -o**3 - 6*o**2 + 8*o + 9. Let n be h(z). Solve m = -n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 + 10*t**2 + t - 4. Is q(-7) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 3*m**5 - 21*m**4\/4 - 3*m**3 + 21*m**2\/2 - 6*m + 91. Factor p(l).\nAnswer: 3*(l - 1)**2*(l + 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2*9)\/(-1))\/((-12)\/546). Let v be (l\/6)\/(-7)*-4 + -1. Let f = -9 - -20. Calculate the highest common divisor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*r - 301*r = -200. What is the remainder when 679 is divided by r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 134*v + 107. Let c(x) = 267*x + 198. Calculate -6*c(b) + 11*n(b).\nAnswer: -128*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 12813417350 - 12813417350.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g - 25. Let r(d) = -d + 5. Let o(b) = -11*r(b) - 2*s(b). Let p be o(6). Let f(a) = a + 8. Let q be f(-8). Put 70, q, p in descending order.\nAnswer: 70, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -759294780678 + 0.8.\nAnswer: -759294780677.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6196642 = 471*z - 6226315 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = -0*s. Suppose -s = 4*v, -4*v + 2*v - 4 = -5*o. What is the third derivative of d**4 + 0*d**2 + d**2 + o*d**2 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**3 - 392952*m**2 + 9725709060*m - 3676955641344 = 0.\nAnswer: 384, 48927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2114*z + 57. Let f(u) = -6342*u - 152. What is -3*f(y) - 8*t(y)?\nAnswer: 2114*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4709*f + 12072. What is v(-3)?\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1709 - 14941478?\nAnswer: -14943187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*m**2*s**2 + 8*m**2 - m*s**4 + 11*m wrt s.\nAnswer: 40*m**2*s - 4*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 2. Let h(a) = -10*a + 11. Let b(p) = -2*h(p) - 11*q(p). Let k(j) = 5*j**2 + 7*j**2 - 25*j**2 + 9*j**2. What is k(b(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -3*z**6\/10 + 696*z**5\/25 - 562*z**4\/5 + 416*z**3\/3 - 296*z**2\/5 - 1168. Solve d(x) = 0 for x.\nAnswer: 0, 2\/3, 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143748 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -309, -314, -323, -336, -353?\n\"Answer: -2*t**2 + t - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(4\/7)*m\/m**11*m*m*m**16*m*m\/(m\/m**17))**(-9\/5) assuming m is positive.\nAnswer: m**(-360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 + 19*p + 18. Let z be o(-1). Solve 2*q = 5*h + q + 18, -z*q = 3*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50123224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3*v + 15, -3*a + 33 = 3774*v - 3776*v + 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 2, l: 4, t: 2, r: 3}. Give prob of picking 1 f and 2 r.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-14)\/(-8)))\/((-18)\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 2958*v\/5.\nAnswer: -2*v*(v - 1479)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 188*p - 2635 - 145*p + 2642. Let r(w) = -64*w - 10. Calculate 5*r(b) + 7*v(b).\nAnswer: -19*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8. Suppose 5*c - x - 153 = i, -5*x = 4*c - 0*x - 134. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*f + 76, 4*r - 2*f = 149 - 453. Let p = -72 - r. Suppose 4 = 9*l + p. Solve -u + k - 5 = l, u + 1 + 4 = 3*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 51 + 6*d**2 + 7*d.\nAnswer: 6*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 24387618?\nAnswer: -24387615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**5\/3 + 473137*l**4\/3 - 3311909*l**3\/3 - 473137*l**2\/3 + 1103970*l = 0.\nAnswer: -1, 0, 1, 7, 473130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57449 + 495?\nAnswer: -56954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000037129 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*m - 204*m - 117*m - 154*m.\nAnswer: -380*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*z + 29, a - 1 = 2*z + 13. Let n be ((-8)\/a)\/((-10)\/3). Solve n*s**4 - 1\/5*s**2 + 0 - 1\/5*s**3 + 1\/5*s = 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 rjrrrhh. Give prob of picking 1 r and 1 h.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckc when three letters picked without replacement from kcckc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1510 = -5*u + 5*m, 637*u = 642*u + 2*m + 1475. Which is bigger: u or -305?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 43, 2\/7, -0.3, -105, -15\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3943*l + 85. Let h be o(5). Round h to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 461563679*j**3 - 256202519*j.\nAnswer: 2769382074*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14740887*m + 9584335.\nAnswer: 14740887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 7*s + 200. Determine c(24).\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1110*f**3 + 3374*f**3 - 1136*f**3 - 1126*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(5\/7)*n*n**(-38))**(-37) assuming n is positive.\nAnswer: n**(9139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*2\/9. Let g = -170 - -1192\/7. Let o = 15 - 11. Which is the closest to i? (a) g (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 + -4572890.52.\nAnswer: -4572904.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 24205011510?\nAnswer: 24205011501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117.9 - 97. Let y = -20 + q. Sort -1\/7, -2\/5, y in ascending order.\nAnswer: -2\/5, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1178 and 3.6647937.\nAnswer: 3.7825937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3060 and 3508290.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*o + 0 + 26)*(-5*o + 2*o + 2*o).\nAnswer: 2*o**2 - 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 6925920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 1 - -9) + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 z, and 1 j when three letters picked without replacement from {w: 2, m: 3, x: 4, z: 2, t: 1, j: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4\/5, -3.8, 1.\nAnswer: -3.8, -4\/5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.47 - -0.13. Let a = y + -1.5. Let b = -3\/103 + 227\/721. What is the nearest to b in a, 0, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3219284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*d + 1104*d - 555*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 2*z + 122 + 0*z + 60.\nAnswer: 3*z + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**0)\/b)\/b)**(-36)\/((b\/(b*b**(-2\/9)))\/((b\/(b*b**(-7)\/b))\/b)) assuming b is positive.\nAnswer: b**(385\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 1. Let o(l) = -2*l**2 + 27*l + 69. Let t(z) = -4*h(z) + o(z). Let b be t(12). Put b, 13, -8 in ascending order.\nAnswer: -8, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5 - 41*j**4\/12 + 239*j**3\/3 + 12*j**2 + 5814*j. Find p, given that t(p) = 0.\nAnswer: -6, -1\/20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*q - 2*h, 0 = -6*h + h. Let g be (-6 + 4 + 5 + q)*0. Solve g*k + 12 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f - 30. What is c(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2 - 209*z + 12032 = 0?\nAnswer: -256, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 5436777?\nAnswer: -5436777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/3 - 14*h**3\/3 - 34*h**2\/3 - 34*h\/3 - 4 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71.9 - -76. Let x = -13.9 + 13. Let w = n + x. Round w to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 8. Let c be d(5). Let s be 3*1\/(c + 4). Let g(f) = f**3 - f**2 - f - 1. What is the smallest common multiple of g(s) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22516 = 4*p + 4*b, 0 = -p - 0*p - 3*b + 5625. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568\/220 + (-6)\/15 - 2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1174*670\nAnswer: -78.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1153 - h + 1156 + 1155 - 4621 + 1151. Suppose 5*s - w - 8 = 0, s + 4*w + 3 = -8. Let p(r) = -1. What is s*l(v) + 2*p(v)?\nAnswer: -v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.16 and 7633.\nAnswer: -24120.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-18) + 9)\/((-11)\/(4 + -37)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/2 + 30425*y**2\/2 + 30423*y = 0.\nAnswer: -30423, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/33 (b) 4 (c) -15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4)*(-7*f - 25 + 25)*(-18 + 18 + 194*f)*(0 + 3 + 11)*(f - f + f) to the form b + p*f + z*f**3 + j*f**2 and give z.\nAnswer: 38024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 3*i - 30 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(66) + -3*sqrt(66)))\/(-6*sqrt(96)) + -3)**2.\nAnswer: 2*sqrt(11) + 92\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(19\/2))\/(w\/(w\/(w\/(w*w**(14\/5)))*w)))\/(w**(-3\/31)\/(w\/(w*w\/(w\/(w*w**28\/w)*w*w)*w))) assuming w is positive.\nAnswer: w**(-9797\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -1\/873 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from {o: 1, t: 8, z: 4, r: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:03 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - 2*q**4 + 0*q**4)*(-3 - q + 3)*(-5 + 2 + 1) + 2*q**5 + 2*q**5 - 3*q**5.\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/1*9*(-82)\/(-1845).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -422500*f**5\/3 + f**3\/2 + 6*f**2. Let p(g) be the first derivative of s(g). Let j be p(1). Round j to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -116. Let z(q) = -2*q + 6*q**2 - 5*q**2 - 1 + 3*q + q**3. Let l(d) = 4*d**3 + 3*d**2 + 2*d - 3. What is r*z(h) - l(h)?\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 + 17?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 526 + 9982?\nAnswer: a3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5910?\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*i**4 + 23478*i**2 - 43471792*i wrt i?\nAnswer: -1272*i**2 + 46956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911\/2*(6\/(-18) - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 75035.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 445\/29 + -12429\/638. Calculate the common denominator of 4\/14*89\/(-4) and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8967?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 814721.6t?\nAnswer: 814721600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.42852 plus 0.07?\nAnswer: 269.49852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t. Suppose -290*m + 289*m = -1. Let i(w) = 7*w**2 - 4*w**2 + 1 - 2. Let d(l) = 1. Let y(c) = m*i(c) + d(c). Give y(h(o)).\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7.9. Let h = -9.1 + i. Let l = h + 6. Which is the closest to -2\/7? (a) -1\/3 (b) l (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 36. Suppose 3*o + 10 = a*o. Solve i + o*v + 5 = 0, -i - 3*v - 2*v - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304946714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 46*w - 2. Let y(g) = -g - 14. Let i(l) = 18*l - 71. Let u(h) = -i(h) + 5*y(h). What is -5*u(t) - 3*x(t)?\nAnswer: -23*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - 4*z**2 + 2*z**2)*(13 - z - 13) + (6*z**2 - 2*z**2 - 5*z**2)*(z - 1 + 1) to the form k*z + h*z**2 + b*z**3 + s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 - 3 = 0. Let o = u + 37. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099875 is divided by 3376.\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -348*x**3 + 66*x + 222. Let s(r) = r**3 - r - 1. Let t(v) = -2*g(v) - 132*s(v). What is the derivative of t(o) wrt o?\nAnswer: 1692*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(77)\/sqrt(539).\nAnswer: sqrt(7)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*1 - 0\/(-10). Suppose -2*y + 2*j + 0 + 6 = 0, 4*y - 5*j - a = 0. Let k(x) = x**2 - 7*x. Let q be k(y). Solve q = -u + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -68\/5*y**2 - 8\/5*y**5 - 56*y - 28\/5*y**4 + 0 + 192\/5*y**3 = 0. Calculate y.\nAnswer: -7, -1, 0, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 4. Let l be p(4). Suppose 5*f + 1 = -0*j - 3*j, f - j - 3 = l. Let y = -2563 - -2563.3. Which is the closest to 1\/3? (a) f (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/3 - 4*c. Let v(t) = t. What is q(v(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(4))\/sqrt(2) + (sqrt(18) - -2*(sqrt(18) + 1 + sqrt(18) + sqrt(18))) + sqrt(18))**2.\nAnswer: 108*sqrt(2) + 1462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-270)\/50)\/(-9))\/(1\/1915)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-3)\/5 - (-42)\/(-30)). Suppose 5*q - 14 = -3*y, 2*q - w*y + 10 = 2*y. Put -5, q, 5 in ascending order.\nAnswer: -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*u - 4 + 2, 4*u = -3*t + 5. What is s in -26*s**2 - 25*s**2 + 54*s**u = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35564803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*u - 3. Let f be -1*2\/(-4)*0 - -2. Let n(l) = f*l - u*l + 4*l. Let g(b) = -2*b. Determine n(g(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -857 - 267. Let n = y - -280. What is the third biggest value in -2, n, 0.058?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3)*m**(1\/8)*m**(-2\/7))\/(m**(-3\/4)*m**(-1\/3)*m**(-5)\/m**(-1)) assuming m is positive.\nAnswer: m**(715\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a4 + 2?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 891 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, y: 4, b: 2}. Give prob of sequence bb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 7*j**2 - 7*j + 7. Let a(s) = 2*s - 1. Let p be a(-3). Let h(q) = -4*q**2 - 2*q**3 - q + 7*q - 2*q**2 - 6 + 3*q**3. Determine p*h(w) - 6*g(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p**2 - p + 1. Let m(g) = -7*g**3 + 4*g**2 - 7*g + 4. Let j = 12 + -11. Let c(q) = j*m(q) - 6*d(q). Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -8 + 15 - -28 - (22 - 26)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**5 + 2003375*k**4 - 3*k**2 - 60262121*k.\nAnswer: 60*k**3 + 24040500*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 19. Let h be (4\/(-6))\/(4\/(-54)). Suppose -4*y + h*y - 15 = 0. What is the remainder when w(-12) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1002, -4248, -9612, -17094, -26694?\n\"Answer: -1059*g**2 - 69*g + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -229404.\nAnswer: 91761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 9 + 0 + -11. Solve o + 4 = d, -5*i - o + 13 = -8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000111111100010 - -10111?\nAnswer: -10111000111111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1442 (base 7) to base 14.\nAnswer: 2c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64403 is divided by 1598?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 146dcf (base 16) to base 14\nAnswer: 26bcab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let j(r) = -r**3 - 22*r**2 + 28*r + 119. Let v be j(-23). Solve h*p = p - v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4167.389 + 4165. Does 2\/3 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 748 and 665380.\nAnswer: 7319180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 2. Suppose p*a = 44 - 36. Find the third derivative of 3*q**2 - 7*q**a - q**2 - 8*q**6 + 22*q**6 wrt q.\nAnswer: 1680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24680670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 71. Suppose w = -u + 3, -f*w - 2*u + u + 11 = 0. Solve w*h = 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -982, -1965, -2948, -3931, -4914?\nAnswer: -5897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(6) - -1*sqrt(96)))**2*4.\nAnswer: 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/6 + 0 + 7\/21. Suppose -4*j = k + 2*k - 32, -3*k + j + 7 = 0. Sort k, -5, c, 3 in increasing order.\nAnswer: -5, 3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 266422 - 266455.9987. Let v = q + -0.0013. What is the third biggest value in 1, -3, -0.5, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150037 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356451, -356449, -356447, -356445, -356443?\nAnswer: -356441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/4*1104\/(-207). Sort 79, 15, -2, x in ascending order.\nAnswer: x, -2, 15, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*f**4 + 0*f + 12\/5*f**3 + 0 + 4\/5*f**5 + 4\/5*f**2.\nAnswer: 4*f**2*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 n when three letters picked without replacement from {z: 5, n: 7}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqkqkyqqkkyqkqqkqk. What is prob of picking 2 y and 2 q?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-3 + 2)**2.\nAnswer: -144*sqrt(19) + 24628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*x - 2*v = -111, -7*v + 0*v - 3051 = 146*x - 2*v for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - 6*u. Let c be j(3). Calculate the greatest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242.91 + 248. Let t = l + -0.09. Which is the third smallest value? (a) 3 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -27. Suppose -320 = 10*a - 14*a - 5*o, 3*o + 400 = 5*a. What is the units digit of (-286)\/r - (-20)\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33237 is divided by 487?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 9*a**2 + 10*a + 14. Calculate s(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -4\/7, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 14, 0.3, -2.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 - o)*(5*o - 4 - 2*o - 4*o).\nAnswer: o**2 + 6*o + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*r - 9, w - r + 1 = -2*w. Let d = 28513\/106 + -269. Let f = d - 3\/106. Is w < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 13927243?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 1)*(-4*b**2 + 0*b**2 + 2*b**2 + (-b - 2 + 2)*(39*b - 101 + 101)) in the form h*b + o + m*b**2 and give m.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 5*x + 11. Let l be 1\/(18\/15 - 1). Let r = l + 1. What is the least common multiple of x and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -p - 19, -5*f + 11 = 2*p - 6. Let g(k) be the first derivative of -k**4\/4 - 4*k**3\/3 - 3*k**2\/2 - 4*k - 158. Determine g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45948, 183808, 413574, 735246?\n\"Answer: 45953*q**2 + q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40 - 2*x**3 - 17*x**3 + 1417*x - 1417*x wrt x?\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232402 (base 7) to base 10\nAnswer: -41701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose j = -t - 3*j + 23, -5*t = -h*j + 5. Solve 5*l - t = 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 - 3*u**2\/2 + 8*u - 774. Determine m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**4 + 18*i**2 + 5*i. Let o(a) = -10*a**4 - 17*a**2 - 4*a. Let q(r) = -4*j(r) - 5*o(r). Find the third derivative of q(h) wrt h.\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384220 and 40?\nAnswer: 768440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugppuujagnju. Give prob of sequence pun.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 87 - 183 - 5*k.\nAnswer: -5*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 413398169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860852783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5706 to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -30258\/11 - 2\/11*b**2 - 492\/11*b = 0?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 400426\/7 - 56731. Let y = c - 477. Find the common denominator of -13\/4 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose 2*r = 5*r + 5*u + 1, -15 = y*u. What is the remainder when r is divided by 3\/(-3) + 2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Calculate the remainder when 32 is divided by (w\/(-2))\/((-2)\/(-44)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/15 + (-9)\/5 + 2. Does 12 divide d*-3*106\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0*u**2 + 2*u**2 + 4*u)*(-u - 2*u + u) in the form n*u**2 + p + g*u + m*u**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Let k = -16 + 16.1. Which is the closest to k? (a) -0.3 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let t = -75 - -599\/8. What is the closest to 1 in -3, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 9*i**2 - 4*i + 17. Let x be c(9). Let m = x + 35. Calculate the remainder when m is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5864 - 6785. Calculate the remainder when d is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239673147, 479346295, 719019443?\nAnswer: 958692591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 3 + 5 - 1)*(18 + 14 + 30).\nAnswer: -124*y**3 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27004 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 + 3*f**3 + (10*f**2 + 11 - 11)*(0*f + 0*f + 2*f) + f**3 - 4*f**3 + 2*f**3 + f**3 + 0*f**2 + 0*f**2.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**3 - 13368*q**2 - 16084089*q - 4328077374 = 0.\nAnswer: -513, 5482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -4728, 0.2, -0.104?\nAnswer: -4728","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00547 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/60 + 13*g**4\/12 + 17*g**3\/2 + 11*g**2 - 3. Let l be z(-27). What is the highest common divisor of l and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8625c5 (base 13) to base 4.\nAnswer: -30000111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 7*r**2 - 9*r + 10. Let t be x(8). Sort 4, t, -4 in ascending order.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3 - 2*r)*(87*r**3 + 72*r**3 - 35*r**3).\nAnswer: -248*r**4 + 620*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, and 2 z when four letters picked without replacement from {b: 7, x: 1, r: 7, j: 1, z: 3}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5729 = 5*s, 817*s = 818*s - 1. List the prime factors of q.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m + 2. Let x be z(0). Suppose 5*h = s + 531, -3 = s - x. List the prime factors of h.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 3*v**5\/10 - 11*v**4\/4 + 20*v**3\/3 - 13*v**2\/2 + 5*v\/2 + 15. Factor h(q).\nAnswer: (q - 5)*(q - 1)**2*(3*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + 91 + (-13 - 0) - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g + g**5 - 30 - 312504*g**2 + 11*g**3 + 9*g**4 + 2 + 312475*g**2 = 0. Calculate g.\nAnswer: -7, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2*sqrt(27))**2 - (sqrt(12)\/(sqrt(4) + sqrt(16)\/sqrt(4)))**2) + 3 + 4.\nAnswer: 449\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33394848 divided by 7716?\nAnswer: 4328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -370*n**3 + 94*n**2 + 4*n + 7214. Let s(x) = -635*x**3 + 187*x**2 + 7*x + 14428. Let p(o) = 7*h(o) - 4*s(o). What is the derivative of p(k) wrt k?\nAnswer: -150*k**2 - 180*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (85\/15 - 3)\/((-8)\/(-12)). Let d be -9*(-8)\/12 + c\/(-1). Find r such that -4\/7 - 2\/7*r**d + 6\/7*r = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 14*q**2 + 2*q + 28. Let o be w(-14). Suppose -2*s = -2*i + 20, o = -0*i + 2*i + 4*s - 50. Suppose -14*k - 18 = -i*k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 4*l + 17*l)*(2 - 2 + 3) to the form x*l + c and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 - -162. Let q = 1 - 2. Let x be ((-2)\/q)\/(9 + 1). What is the nearest to 0.2 in x, 0.1, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (1 + sqrt(700) + sqrt(700))) + 4.\nAnswer: -19*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5.6645?\nAnswer: 7.6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:26 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -319 - -461. What is the remainder when m is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*z + 127 = 5*s, -z = 1. Let d = 136 - s. Calculate the greatest common divisor of 30 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2)*(-21 + 20). Suppose s = -3*i - g - 1 - 4, -10 = -4*i + 2*g. Solve -2*y = -2*c + 2, -4*y - 3*c + 2*c + 11 = i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 170745, 682973, 1536685, 2731881?\n\"Answer: 170742*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - v + 13, 3*z + 34 = 5*v + 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55068733 divided by 4\nAnswer: 55068733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 22, 47, 92, 163, 266?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.222*-0.2.\nAnswer: -0.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 865104 and 3752.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 420209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307 = 63*h - 80*h + 86 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 170715, 170699, 170683?\n\"Answer: -16*i + 170731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - (-18 + 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 12*u - 65. Calculate q(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183806767 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 189 = -27 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2918.3678429 - -1.6167671. Let m = f - 2920. Round m to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 30*i + 20. Let z = -122 + 133. Let d(t) = -4*t**2 - 59*t + 41. Let n(a) = z*b(a) - 6*d(a). What is g in n(g) = 0?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48863140.\nAnswer: 2, 5, 383, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/42)*m\/(m*m**21*m)*m)**3)**(-5\/4))**(-3\/41) assuming m is positive.\nAnswer: m**(-13245\/2296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*s + s + 6, 3*s + 2*t = 9. Let k be ((-7)\/3)\/(s\/9). What is the remainder when 24 is divided by 177\/21 + (-4)\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 100*r. Let g(i) = -4*i - 5. Let x(p) = 5*p - 22. Let s(l) = 3*l - 14. Let n(y) = -8*s(y) + 5*x(y). Let d(v) = 2*g(v) + 5*n(v). Give d(u(f)).\nAnswer: -300*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-40)\/10)*(-8)\/(-76)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 - 3*s**4 + 5*s**4)*(8 - 4 + 6)*(-12*s + 131 - 132 + 2*s).\nAnswer: 100*s**5 + 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from {b: 1, n: 4, u: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -205 + (147 - 57) - -96.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10575009*j**2. Let t(x) = -x. Determine p(t(n)).\nAnswer: -10575009*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 586, 670, 798, 964, 1162, 1386, 1630, 1888?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -344. Suppose 5*k = -0 + l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/5)\/((-231)\/(-396))*112\/24\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*16.4\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 1 (c) -0.2 (d) 3\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2222, -0.2, 0.13?\nAnswer: -2222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235565 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*f - 139 + 184, -4*o + 162 = 2*f. Suppose 3*s - 11 = 2*s. Calculate the remainder when o is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6 and -71\/948?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/36 + (4856\/63 - (-77)\/((-50127)\/(-744))).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(33*t + 6*t - 73*t)*(1 + 4 - 4).\nAnswer: 68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.36 - 3.36. Which is the second smallest value? (a) u (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5470 - 5469.99999927568. Round o to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 251 + -250.99997955. Round a to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 16*t**3 + 207*t - 207*t to the form x*t**2 + b + l*t**3 + j*t and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336927244?\nAnswer: 2, 359, 234629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331161.\nAnswer: 3, 167, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 0.45\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/150 + 13*p**4\/60 - 68*p**3\/15 - 795*p**2. What is k in y(k) = 0?\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -0.018008331.\nAnswer: 3.981991669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*y + 23 - 23)*(-y**2 - y**2 + y**2) + (4*y**2 - y + y + 4)*(4*y + y - 3*y) to j + q*y + a*y**2 + x*y**3 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1993 + -1388. What is the remainder when h is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*r = -3*l - 148, 3*r + 116 = -4*l. List the prime factors of (-2 - -3) + -2 - l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {j: 4, c: 2, h: 1, n: 2, m: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 184*h**2. Let b(j) = 2*j**2 - 10*j - 5. Let m(v) = -2*v**2 + 8*v + 4. Let d(r) = -4*b(r) - 5*m(r). Give k(d(u)).\nAnswer: 736*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, 1 o, and 1 x when four letters picked without replacement from {e: 4, p: 2, b: 1, x: 1, o: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11418 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k + 2*s + 10, -k + 21286*s - 21288*s = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16676 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/3 - 86*m**3\/3 + 84*m**2 - 230*m. Factor q(f).\nAnswer: 4*(f - 42)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6872712 divided by 21?\nAnswer: -327272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 221 times 150.15\nAnswer: 33183.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15101 + 1131445?\nAnswer: 1150550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 4, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p + 30. What is the smallest common multiple of 4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 543525, 2\/7, -6, 0, -4 in descending order.\nAnswer: 543525, 2\/7, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 13*c - 34*c**3.\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199326, 199153, 198694, 197805, 196342, 194161?\nAnswer: 191118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.124 + -0.624. Sort 44, f, -3\/5.\nAnswer: -3\/5, f, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69178744 + 106078744. What is l rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 552 = -17*i. Let g = i + 355. Let z = g - -25. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*w - 3*w + 0*w)*(3 - 2 + 0) - w + w + w)*(0 + 0 + 1) - 4470 - 11134*w - 4485 + 8955 to b + x*w and give x.\nAnswer: -11132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2529 = 5*g, 5*a - 8*a + 2535 = 3*g. Calculate the highest common divisor of a and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, -1746, 2231, 1, 0, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 393.1 + -393. Is t less than -9.488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17)*-2 + 5 + sqrt(17) + -1 + sqrt(170)\/(sqrt(250)*6))*-5)**2*6*4.\nAnswer: 14560*sqrt(17) + 310354\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*f**2*h**4 - 2*f**2*h - 6*f**2 - 11*h**4 + 35*h wrt h.\nAnswer: 384*f**2*h**2 - 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/2 + 2*j**4 + 2*j**3 - 8*j**2 = 0 for j.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u - 286. Let p(r) = -3*r + 52. Let q(b) = 4*i(b) + 22*p(b). Let s(f) = 78*f**2. Determine s(q(j)).\nAnswer: 2808*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 5 + 5)*(3 - 2 - 2) + (-3 + 2 + 5)*(-2*i**2 - 4*i**2 + i**2)*(0 + 0 + 2).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 24*x**2 + 28. Let j be i(-24). Suppose -64 - j = -r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12761794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -621 divided by -147.\nAnswer: 207\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4769 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23 >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d + 8*d - 18*d. Let w be 3*(11\/3)\/1. Let p(a) = -4*a + 6*a - w*a. Give p(h(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1965, 3990, 6023, 8064, 10113, 12170, 14235?\n\"Answer: 4*r**2 + 2013*r - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2985 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ooooii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 239*r. Let v(q) = 14*q**2 - 1452. Give v(d(n)).\nAnswer: 799694*n**2 - 1452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1799 divided by 40?\nAnswer: -1799\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + -5 + (4 + (sqrt(1872) - sqrt(1872)*1)**2 - (-5 + sqrt(1872)*-1))).\nAnswer: 48 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 43, -4, -1, 8, -2 in descending order.\nAnswer: 43, 8, 7, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -5*j**8\/336 - 17*j**5\/30 + 28*j**2. What is the third derivative of u(w) wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3434 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -132*l**2 - 10 - 3*l - 138*l**2 + 271*l**2. Calculate u(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-2 - (-14 + 2)). Let a be 206\/296 - d\/16. What is the second smallest value in -3, a, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**3 + 64*n**2 + 5*n - 83. Let j be w(16). Let p = -823\/4 + 211. What is the third smallest value in p, j, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 11*i - 68. Let p(f) = -57*f + 344. Let g be p(i). Solve g*l = 3*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 1\/5 (c) -0.01 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (324 - 324 + 7*f + (0*f + 3*f - f)*(-4 + 1 + 2))*(-20*f + 134*f - 51*f) as z + c*f**2 + i*f and give c.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17530, 17532, 17534?\nAnswer: 17536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9624 * -0.01.\nAnswer: -0.009624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*q**2\/3 + 574156*q\/9 - 8144\/9 = 0 for q.\nAnswer: 2\/141, 2036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 25*h - 56, 5*q + 21*h - 25*h = 6*q - 23 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvubtuuuvuvbb. What is prob of picking 2 t?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 517*u - 515*u + 12, -2*r = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32\/105 - -6\/35. What is the third biggest value in g, -9, 2\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54603195*w - 174174901 wrt w.\nAnswer: 54603195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(2\/(-9)*1). Suppose 0 = 4*u + f - 5. Which is the second biggest value? (a) u (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572 and 47632.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5 = 4*g, 15*g - 6 = -2*l + 19*g for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-14688)*-60*8\/25.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/310 and 17\/40?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (170829\/2394)\/(-111)*7\/(-18). Factor -5\/4*h + q*h**2 + 3\/2.\nAnswer: (h - 3)*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/4)\/((-48706)\/(-1176)))\/((-3)\/(-7)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 - 4*k - 3. Let j(s) = 4*s**2 + 4*s + 3. Let a(o) = 4*j(o) + 3*y(o). Let b be a(-2). Does -2\/5 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 1010?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**4 + 6*p**4 - p**5 - p**2 + p**3 - 5*p**4.\nAnswer: -p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -24. Suppose s - w*p = -2*s + 31, -73 = -5*s - 4*p. Find the second derivative of 21*y**5 - s*y + 29*y - 11*y - 14*y wrt y.\nAnswer: 420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -3*q + 0 + 3\/2*q**2 + 1\/3*q**3. What are the prime factors of f(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(15*o**2 - 20*o**5 - 15*o**2) - o**5 + 3*o**5 + 0*o**5 + (o**2 - o + o)*(o + o**3 - o) - o + o + o**5.\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42852178.\nAnswer: 2, 1699, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhzzzzh. What is prob of sequence hzh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (249\/83)\/(3*-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/(-6)*(-4)\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = x - 0 - 7, -3*x + 4*y - 11 = 0. Is x at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29 > -41.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 5*i - 163454, -40862 = -99*u + 97*u - 2*i. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -403 + 1010. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/90 + (-18)\/30 + 60\/99\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m - 160 - 308 = 21*m - 27*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 15*b**2. Suppose -2 = 4*f - 2*c, -2*f + 2 = 2*c + 6. Determine k(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/((-27)\/81)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 17346*j + 63. Calculate z(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 13 - 1) + -2. Let j = d + 35. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -89*j. Let p(u) = -21*u + 61*u - 24*u. Let c(d) = -7*d. Let q(k) = 14*c(k) + 6*p(k). What is o(q(z))?\nAnswer: 178*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34060 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 282*a**3 + 31*a**2 - 4*a + 13. Let f(k) = -284*k**3 - 32*k**2 + 3*k - 11. Let q(d) = -4*f(d) - 3*z(d). What is the third derivative of q(j) wrt j?\nAnswer: 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-377104)\/1300)\/49 - 2\/(-25)*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1428 and 0.1.\nAnswer: 1428.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*10\/4 - (-5544)\/(-1155). Which is the biggest value? (a) -0.199 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 6*j - 7. Let w(h) = -4*h**2 + 11*h - 13. Suppose -28*p = -24*p - 24. What is p*w(l) - 11*r(l)?\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1073221 + 1?\nAnswer: 1073222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 - 3 = 0, -r = -x + 4. Let p = 157718\/5 + -31544. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 7. Let a(j) = -j - 6. Let b(x) = -7*a(x) + 6*g(x). Let v(t) be the third derivative of 0*t - 16*t**2 + 0*t**3 + 3\/4*t**4 + 0. Determine b(v(y)).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 - 5*w**3 - 1 - 7*w - 4 + 7*w**2 + w**3. Let t be d(6). Let l be (t\/33)\/((-1)\/15). Let u(o) = o**2 - 5*o - 2. Calculate u(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9)*h\/h**(1\/7)*(h*h**(2\/5))**(-47))**15 assuming h is positive.\nAnswer: h**(-20387\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/9 + 290*z\/9 - 196\/3 = 0.\nAnswer: -147, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 1. Let m be j(2). Solve -m + 4 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -390812 (base 10) to base 14.\nAnswer: -a25d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3970836 times -10?\nAnswer: -39708360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -0.0494735.\nAnswer: 4.9505265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/4)\/t**(-2\/11))**20 assuming t is positive.\nAnswer: t**(-235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 3*z - 3*z)*(3 - 1 - 1)*(1 - 4 + 0).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -436 - -3483\/8. What is the nearest to -1 in 4, h, -5, 2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515551327.\nAnswer: 515551327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j + z - 3, -3 = -j + z. Sort -9, j, 3, -3 in descending order.\nAnswer: 3, j, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*o = -10*z + 170*o - 116, 0 = -2*z + o - 17 - 3 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9*m = 4*m + 20, 5*a + 2*m = 27. Suppose 2*p + p - 41 = -a*l, 5*p + 45 = 3*l. What is the greatest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 1. Let y(o) = -9*o + 4. Determine -3*q(d) - y(d).\nAnswer: 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 1932*j**5\/5 - 2099*j - 8389. What is the derivative of m(v) wrt v?\nAnswer: 7728*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1. Let f(q) be the first derivative of q**2 - 2*q - 41. Give -f(h) + 2*o(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7260867 decades to months.\nAnswer: 87.130404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 plus -4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4 - 3 + 1 + 5 + 4*c in the form h*c + b and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -6\/5, 2\/11, 0 in descending order.\nAnswer: 2\/11, 0, -6\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 325. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 0 - (0 + 2). Suppose -7*o + 2*o = 10. Let k be (o - r) + 17*1. What is k rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 426388 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(2*f - 2*f + 8*f**2) - 2*f**2 - 2*f**2 + 2*f**2 + 4*f**2 + 0 + 0)*(-8*f + 8*f - f**3).\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -0. Solve 0 = -i - b + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p - 32. Let n be c(-6). Let a = n + -48. What is the least common multiple of 22 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, -0.06, 18, 16\/11?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -12*v**5 - 1104*v**4 - 12711*v**3 - 30849*v**2 - 21864*v - 4740 = 0.\nAnswer: -79, -10, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 = 120. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 844 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 31. Which is the second biggest value? (a) -1\/2 (b) 0.3 (c) 1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*m**2 + 8*m + 8*m - 20*m + 5*m.\nAnswer: 65*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1484, -1482, -1478, -1472, -1464, -1454?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + f**3 + 0*f**2)*(2 - 20*f - 9*f + 4*f) + 57*f**3 - 2*f**4 - 57*f**3 + 26*f + (-2*f - 2*f + 2*f)*(1 - 1 - 2*f**3).\nAnswer: -23*f**4 + 2*f**3 + 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 263596856 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152380.01 + -152380. Suppose 3*k + 2*h = -2*k + 11, -5*k + 9 = 3*h. Which is the nearest to -0.2? (a) z (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 415\/1859 - 7\/169. Suppose -22*k = -18*k - 24. Suppose b - 15 = k*b. What is the nearest to 1\/3 in 0.17, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84.28 - 87. Let o = -1173.28 - -1173. Let l = p + o. Sort -0.5, -1.5, l in descending order.\nAnswer: -0.5, -1.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31917093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**4 + 17806464*k**3 - 5*k**2 + 493491410?\nAnswer: -4*k**3 + 53419392*k**2 - 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, -2, -1.\nAnswer: -2, -1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -11.10749.\nAnswer: 55.53745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*b**3 - 2743 + 2743)*(0*b + 5*b - b) + (2 - 2*b - 2)*(-2*b**2 - 2*b**3 + 2*b**2) to the form w*b**2 + i*b + q*b**3 + m + f*b**4 and give f.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (2 - -1) + 2 + -19 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 50. Suppose -r*k + 1280 = -2*d, 3*k - 1900 = -0*k - 2*d. Suppose -3*q - 3*p = -6*p - 642, 3*q - k = p. List the prime factors of q.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -24*u + 26. Let l be v(1). Solve 0 = -0*g - l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350 - 21760.9\nAnswer: -22110.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + -6*sqrt(40)*1)\/(sqrt(8) - sqrt(40)\/(sqrt(10)\/sqrt(2) + sqrt(5))).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -1\/7 (b) 8\/7 (c) -17\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 + 138. Let r = 56 + q. Calculate the remainder when 13 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**3 - 603*a**4 + 305*a**4 + 2*a**2 - 3*a**2 - 3*a**2 + 299*a**4 + 6*a + 1 to p*a**3 + y + t*a**4 + m*a + x*a**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 17 in increasing order.\nAnswer: -5, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -38, 1\/2, -4, 2\/5, 2, 1.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -1153*g**5\/60 - 343*g**4\/12 + g**3\/6 + 124*g**2. What is the second derivative of z(a) wrt a?\nAnswer: -2306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((-4 + (sqrt(192)*1 + sqrt(192))**2)*5 - (-5*-5*(1 + sqrt(192)))**2).\nAnswer: -467220 - 40000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953083 is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -170674677000 rounded to the nearest 1000000?\nAnswer: -170675000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 0, 1, -459, -2, 2 in descending order.\nAnswer: 2, 1, 0, -2, -69, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 532 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/37 - -162\/259. Let f = 0.54 - 3.54. Which is the third smallest value? (a) f (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8170753351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/23)\/(o*o\/(o\/o**0*o)))\/(o\/(o**(6\/7)*o)*o\/o**(-7)) assuming o is positive.\nAnswer: o**(-1164\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1831, 7256, 16157, 28420, 43931, 62576, 84241?\n\"Answer: -19*n**3 + 1852*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -4688, -1 in decreasing order.\nAnswer: 0, -0.3, -1, -4688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 225.5004535.\nAnswer: 225.6004535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y - 8 + 3*y + y. Let f be h(-8). Suppose -3*p + 4 + 5 = f. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(5 + sqrt(405)) + sqrt(405))**2 - (4*(sqrt(405) + 0))**2) + 1.\nAnswer: -4634 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0.1. Let f = -3 + 5. Let m = -246 + 2708\/11. Which is the second smallest value? (a) f (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48866.7 decades to years.\nAnswer: 488667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (1 + sqrt(3) - sqrt(3)))**2 - 6*sqrt(12)\/sqrt(4)*-2.\nAnswer: 12*sqrt(3) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 3*b - 4 + 1. Let f(w) = 20 + 18*w**2 - 15*w**3 - w - 15*w**3 + 29*w**3. Let z be f(18). Determine r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(2057) - -6*((-2 + sqrt(2057))**2 + sqrt(2057)).\nAnswer: -187*sqrt(17) + 12362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 5:30 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + a**2 + 0 + (5 - 5 - 2*a)*(-6*a + a + 4*a) + (2 + 1 - 5)*(-3*a**2 + a**2 + 10*a**2).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -250, 5, -27, -0.03, 5\/2, 0.4?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 2}. What is prob of sequence jl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*c - 4*n + 12, 5*n - 5 = 5*c. Let t be 1\/2*(-2)\/c. Let d be (t + 0)*-2 - 0. Solve 4*l - 17 = -3*h + d*h, 22 = -l + 5*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231.95 + -232.85. Put 3\/4, 0.5, 0, -0.2, q in descending order.\nAnswer: 3\/4, 0.5, 0, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8) - (-21)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(60)\/(sqrt(36)\/sqrt(3))))**2*-5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.003792 - -0.21379228. Let f = -0.21 + d. What is f rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188405 + -1878405. What is a rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -1574.47\nAnswer: 1574.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 - 41. Let d be ((-78)\/(-4))\/(o\/48). Sort d, 1, 4.\nAnswer: 1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 4154742?\nAnswer: 4154738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 16*s**3 - s**2 - 3. Let p be t(-3). Let f = 84 + -338. Let w = p - f. What is w rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -81. Let j(g) = g + 17. Let u be j(v). What is the units digit of (u\/4)\/((-5)\/1230)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 98 = -10*a. Let p(s) = -222*s - 10*s**a - 1 + 222*s. Let i(w) = -w**2. Determine p(i(k)).\nAnswer: -10*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 8)*2\/(-4). Let a be (8\/x)\/((-8)\/30). Solve -17 = -4*t - 5*p, -a*t - 35 = 3*p - 8*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p = 2*u + 152170, 0 = 2*p - u - 101446. What are the prime factors of p?\nAnswer: 2, 7, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 10:28 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -160*s - 101*s**2 + 54*s - 166 - 134 - 101*s**2 + 200*s**2 = 0.\nAnswer: -50, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35463 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 51*z - 1. Let k(y) = 104*y - 2. Determine -3*k(t) + 5*w(t).\nAnswer: -57*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*s + 4*z - 3*z, 5*s - z - 38 = 0. Let p(c) = c**2 - 9*c + 18. Let q be p(s). Find the first derivative of 0 - 15*l**4 + 7 + 0 - q wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n - 2 - 2*n**4 - 5*n + 0 + 3 as q*n**2 + r*n**3 + h*n**4 + s*n + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 2. Let a be j(2). Suppose a = -6*s + 5*s + 10. Let f = -3 + s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*t - 164, -4*t - 91 - 57 = -g. Is -39 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -490621.\nAnswer: -490623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(1\/4))))\/u**(2\/11))\/(u**(1\/4))**35*(((u\/(u*(u\/(u**(1\/5)\/u))\/u)*u)\/u)\/u*u*((u*u**(1\/6))\/u)\/u)\/(u**(2\/5)\/u**(-2\/7)) assuming u is positive.\nAnswer: u**(-11551\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 134 (c) -2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 - 9*q**2 - 3*q + 5. Let d be o(7). Let b = -7451\/3 - d. Let m = b + -1219\/39. Does 1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -678*u - 2. Let z(b) = -1355*b - 3. Let t(v) = -7*m(v) + 3*z(v). Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2082 and 9?\nAnswer: 6246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(72)*-2)\/(sqrt(900) + (sqrt(900) - (sqrt(900)*1 + sqrt(900))) + sqrt(900) + sqrt(81)*-3))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**4\/12 - c**3\/6 + c**2\/2 - c. Determine j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38128 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*c - 117*c + 1020 = 0 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g**2. Let z(k) be the first derivative of 31*k**2\/2 + 312. Determine v(z(x)).\nAnswer: 14415*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let n(h) = -148*h - 22*h**2 - 37*h**2 + 147*h. Give k(n(g)).\nAnswer: 118*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -535, -785, -1031, -1279, -1535, -1805, -2095?\nAnswer: -2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let a be l*(-6)\/20*-5. Let u = -0.43 - -0.03. Sort u, -2, a in decreasing order.\nAnswer: a, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -681736 plus -24354?\nAnswer: -706090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*h - 13, 0 = 165*f - 167*f + 4*h + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b**3 + 2*b - 2. Let u(i) be the second derivative of 539*i**5\/20 + 121*i**3\/6 - 121*i**2\/2 + 69*i. Determine -121*k(x) + 2*u(x).\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2 + 423 - 19130*h - 97*h**4 + 19130*h wrt h.\nAnswer: -388*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 6091*r + 6*r**3 + 6092*r + 10*r**3 + (3 + r - 3)*(2*r**3 - 3*r**3 + 2*r**3) - r**2 + r**2 + 2*r**4 - r**4 + 2*r**2 - 2*r**2.\nAnswer: 5*r**4 + 16*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-939)*-1250 - (-2 + 1) - (884 + -879).\nAnswer: -2\/313","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**7\/7 + 4*f**6\/15 + f**5\/10 + 29*f. What is i in m(i) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23184 - -23186. Let u(v) = v. Let d(o) = -2*o - 2. Let f(x) = -d(x) - 3*u(x). Let a be f(0). Solve a*q - 8 = -0*i + p*i, 0 = -2*q - 2*i - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -9, -5*b + 292*l = 289*l - 36 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -19.7. Sort -1, v, 0.2 in decreasing order.\nAnswer: 0.2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.7 - 0.3. Let l = 0.93 + 12.07. Let o = l + v. Which is the closest to -1\/4? (a) 0 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156154 + -86426. What are the prime factors of r?\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11023 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: b\"What is the zth term of -5297, -10597, -15899, -21203, -26509, -31817?\n\"Answer: -z**2 - 5297*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0 = 111. Suppose -5*z + 95 = 30. Calculate the remainder when m is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456 by -2.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3564577?\nAnswer: 17, 307, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0108 and 205668?\nAnswer: -2221.2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26*(-2)\/8 - 5)*2. Let w be (2 + (-52)\/20)*-5. Let u = 1 + w. Solve 4*a - 3*f - k = -5, 3*a - 5*f = u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j - j**2 - 2*j**2 - 3*j**3 - 22*j + 13*j - 3. Let v be i(-2). Solve 5*c + v = c + 3*m, -m = -2*c - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3 + 0*r**2 + r**2 + (-16*r - 6*r + 7*r)*(r - 1 + 1).\nAnswer: -14*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*s + 568*s + 2*m - 2 = 0, 0 = -5*s + 2*m - 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -28. Suppose p = -g - 2. What are the prime factors of 1*44 + (-4 - g)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -12\/398672665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-21)*-3*1*(-70)\/20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080414429 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-206)\/4*(28\/7 + -2). Let q = z - -274. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 231960?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0 + 5*c + 1\/4*c**5 + 0*c**3 + 1\/6*c**4 + 0*c**2. What is the third derivative of x(q) wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334*z = 994*z + 984*z - 841*z + 333585 for z.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -373*x**2 - 12*x**3 + 14*x + 371*x**2 - 3*x + 0*x - 5 as g + o*x**3 + w*x + a*x**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40894 and 842772?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 48 + 18 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 73050*i**3 - 5 + 73054*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 178 - 40 = 0. Suppose 0 = r*a - 20*a - 6. Which is smaller: -7\/5 or a?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263.99614 + 264. Round x to 4 decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4, -3*t - 4*v - 95 = -3*v. Let q = t - -46. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-20))\/(3\/(-48)). Solve y = -d + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -52. Let s be (-165)\/(-114) - (-46)\/874. Which is the closest to 1\/51? (a) y (b) s (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 1647933*v**2\/5 - 3295864*v\/5 - 4\/5 = 0.\nAnswer: -2\/1647933, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103122472 is divided by 85437.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51891 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvlvvvllvvvvvv. What is prob of picking 2 v?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13560523.\nAnswer: 43, 315361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003510074 rounded to 6 decimal places?\nAnswer: 0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -4 (b) -1 (c) -81 (d) -420.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/2)\/b)**33)**(-27))**(2\/55) assuming b is positive.\nAnswer: b**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292\/60997 or 1?\nAnswer: -292\/60997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/3802 - 109306\/5703. What is the common denominator of 15\/7 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y + 18*y + 16*y - 21*y. Let a(h) = 922*h. Determine d(a(s)).\nAnswer: -922*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17757401 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 1. Suppose -5*s = 3 + 22. Let g(k) = 4*k + 14. Let m(a) = -8*a - 35. Let y(d) = -7*g(d) - 3*m(d). Determine s*n(v) + y(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65\/46 - 2\/23. What is the closest to -1 in 1\/10, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30212 and 106652?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(2*p - 2 + 2) + (-p + 1 + 2 - 1)*(181 - 52 + 95).\nAnswer: -226*p + 448","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:35 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-60)*-10*(-5)\/20\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38964 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 11*x - 5 = 0, -4*x - 8 = -3*u. Solve u = -2*a - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 908 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66816)\/10962*(-18)\/8)\/((-30)\/140).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4.4, -0.4, 39, 0.06?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41996432 is divided by 1105169.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 5*w - 31. Let r(m) = m**2 + 19*m + 28. Let j be r(-20). Suppose 3*d - 282 = -j. What is the greatest common factor of w and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:31 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 5:06 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*u + 1, 16*b - 12*b = u + 4. Solve -n + 2*c + 4 = 0, 2*c - 3*c - 1 = u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416) + 1*sqrt(416) + sqrt(416))\/(sqrt(8)*1).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 287980*s**3.\nAnswer: 5*s**3*(s + 57596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 2. Let c be x(2). Calculate the common denominator of (c\/(-5))\/((-108)\/2235) and 43\/(-14) + (3 - 1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756804 (base 10) to base 8.\nAnswer: 2706104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 162?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, -1\/3, -36, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79536, 159081, 238630, 318183, 397740, 477301, 556866?\nAnswer: 636435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 37. Let x = l + 37.83. Let q = x - 0.05. Round q to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/27 and (-3)\/18 + (-33)\/54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-225))\/((2\/1)\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 14076.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*v + 24 = 0, -3*v + v + 24 = -3*t. Let w = -6 - t. Solve -2*r + 4*n + 0*n = 0, 3*r + w*n - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85 + 21 + 2*q - 39*q**2 + 37*q**2 wrt q.\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 368 and 184?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddsdcsscsdssmcdc. Give prob of sequence ssdd.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, b: 2, o: 3}. Give prob of picking 1 b and 3 p.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.767166719 and 160987.\nAnswer: 160991.767166719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 + -32 - (-18 + 2)) + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3856267747?\nAnswer: 151, 337, 75781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30431 (base 16) to base 5.\nAnswer: 22311211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -77897, -155794, -233681, -311552, -389401, -467222, -545009, -622756?\n\"Answer: j**3 - j**2 - 77901*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34519 rounded to 3 dps?\nAnswer: 0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 0*r**2 - r**2)*(-r + 75*r + 1 + 42*r).\nAnswer: 232*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 3*g**2 + 0*g**2)*(2*g - 5*g + g)*(-3*g + 0*g + g).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9\/5 (b) -1\/2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253724 rounded to the nearest 10000?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v**2 + 4*v**2 + 6*v**2 + v**3 - 3*v**4 - 96*v + 2*v**4 to the form b*v**3 + a + z*v + h*v**2 + s*v**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 3256874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (1 - -6 - (101 + -95) - -12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -15*n**3\/2 - 4*n**2 + 2*n. Suppose 0 = -12*h + 8*h - 28. Is c(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.258 plus -26809.05?\nAnswer: -26835.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by (6\/(-18))\/(8\/(-24))*14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31\/2 of a millennium?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -19.13.\nAnswer: -9.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9205 is divided by 1997.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by -6\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86531\/14 + 6184. What is the common denominator of z and 79\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13308, 13354, 13416, 13482, 13540, 13578, 13584?\nAnswer: 13546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z - 5 - 4*z)*(11*z + 10*z + 42*z + 3*z).\nAnswer: 66*z**2 - 330*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40835686 - 5?\nAnswer: 40835681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 5\/6*o**3 + 0 + 1\/20*o**5 - 2*o**2 + o + 1\/2*o**4. Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let a = 0 + 18. Suppose a = 3*v - 0*v. Let y(h) = -h + 1. Let f(j) = -j + 8. Let u(w) = -f(w) + 6*y(w). What is v*m(c) - u(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.04, 3\/2 in descending order.\nAnswer: 3\/2, -0.04, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125255 and 136448?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8585)\/404)\/(14\/8 + -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*b + 48 = 0, -4*k = -6*k - 2*b + 40. Let d(o) = 11*o + 22 + 6*o + k*o - 4*o. Is d(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.249 greater than 111937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 21. Let x be (-2)\/2 + (15 - -3). Is h < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*q**5 - 4547*q**3 + 1888*q**2 - 53*q wrt q?\nAnswer: 11280*q**2 - 27282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 30912*b - 30908*b - 128, b - 3*d = 12 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6 = -2*b, -b = -3*j + 1 - 9. Let y(d) = -d**3 - d**2 + d - 1. Let s(h) = -2*h**3 - 4*h**2 + h. Let a(g) = s(g) - 3*y(g). Determine a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4 - 20*f**3 - 126*f**2 + 20*f + 125 = 0.\nAnswer: -5, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 2*r**2 + 1. Let v(i) = -5*i - 2. Let k be v(-7). Let d = -31 + k. What is p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4137 = -5*f + 578. What are the prime factors of f?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 6*c**2 - 3*c + 3*c**2. Give w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 54e5355?\nAnswer: -54e5355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/28 + 2395222\/14. Let u = j + 267885. Suppose 0 = -r + u - 1718972. Round r to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/777 + 2853\/(-189) - -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -r - 35, 17*a + 2*r + 20 = 14*a. Let x(s) = -6*s**3 - 10*s**2 + 12*s + 4. Let c(l) = l**3 + l**2 - l. What is a*c(k) - x(k)?\nAnswer: -4*k**3 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a. Let q(s) = 5*s - 582. Give h(q(v)).\nAnswer: -50*v + 5820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (1 - 8\/(-2)). Let g be 9\/((-2)\/(-8)*1). Calculate the greatest common factor of g and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18832906 and 4912932.\nAnswer: 112997436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 262417.8 millennia?\nAnswer: 262417800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7319 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 71, 84, 95, 104?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 487741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 5, -30, -3 in descending order.\nAnswer: 5, 0, -3, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -827862, -1655728, -2483594, -3311460, -4139326, -4967192?\nAnswer: -5795058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 613.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b - 220. Does 30 divide z(110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 46414*h. Let i(t) = t + 111. Calculate i(l(d)).\nAnswer: 46414*d + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14250000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24460000 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.1. Let x = 1.2 + y. Let o = 0 - x. Which is the closest to o? (a) 1\/12 (b) -3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-6)\/3)\/(-2) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-348)\/(-8)*((-3)\/(-18))\/(1\/56) and 1827?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 12 + 6 - 6 - z - 4 - 3*z**2 to p*z**2 + y*z + c and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(280)\/(sqrt(16)\/sqrt(2)))\/sqrt(7) - 2*(4 + sqrt(5)*1)**2).\nAnswer: 45*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:32 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113\/387 + -3\/43. Let k = -49 - -247\/5. Which is the closest to k? (a) 1\/4 (b) v (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245313559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1572\/41 or 39?\nAnswer: 1572\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1\/6*-9. Suppose 0 = 2*f + 5*q + 27, -2*f - 2*q + i*q = -3. Does f = -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 661*d - 1327*d - 65558*d**2 + 3178*d**2 + 666*d.\nAnswer: d**3 - 62380*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z + 151*z**2 - 11*z - 22*z - 13*z + 41*z**2.\nAnswer: 192*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 1220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 152.\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9113 + -14757. Let m = j + 118501\/21. What is the common denominator of 145\/6 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, z: 7}. Give prob of picking 2 c.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5711, 45480, 153413, 363590, 710091, 1226996, 1948385, 2908338?\n\"Answer: 5680*a**3 + 2*a**2 + 3*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 439\/4 or 4\/33865?\nAnswer: 439\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, e: 2, m: 6}. Give prob of sequence ehm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggguuju. What is prob of picking 1 g, 1 u, and 1 j?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387098 is divided by 29771?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.3. Let k = 63359\/1352 + -375\/8. Let h = 179\/845 + k. Which is the fourth biggest value? (a) h (b) 5 (c) 2\/3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4\/11, -0.1, -14.8, -0.028, 0?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-508 - -454) + (15 - 0))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((-74)\/148 + 841\/(-2)). Sort n, 4, 2, -5 in increasing order.\nAnswer: n, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 9\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/24 - (1820\/32)\/(-7). Suppose 2*x - 10 = 3*o - 33, 0 = 4*o + 3*x - l. Solve 0 = -3*z - 2*z - o, -4*h + z = -1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:12 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -30.064. Let f = 0.164 + r. What is the third biggest value in 4, f, 1\/30?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -1 - (14 + -55 + 21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6768, -6766, -6754, -6726, -6676?\n\"Answer: h**3 - h**2 - 2*h - 6766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 41 = -1. Solve 5*g - 4*b = q, -3*g + 2*b + 6 + 5 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (104\/715*60\/16)\/((-3)\/(-253))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 - 1127617050*f + 105960017620891875 = 0. What is f?\nAnswer: 187936175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 53\/3, 108.7 in decreasing order.\nAnswer: 108.7, 53\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.61 and 3.\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 35 + 90 = -105 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 9. What is the remainder when 30 is divided by b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 7 = -5*v. Let r = v - 11. Is -3 + r + 182 + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*c**2 - 31*c**2 - 49*c**2 + 140*c**2 - 64*c**2.\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16368993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1026*b + 2268. What are the prime factors of m(-16)?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.086 + -328.\nAnswer: -327.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 8, -1, -1\/4, -127?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1890 = -7*x + 4795. Is x 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 4:59 PM and 9:24 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3 - 43122*n**2 - 12762738*n + 12805858 = 0.\nAnswer: -293, 1, 21853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 24 = -0*f. Suppose -f = -j + 6. Suppose 7*r = j*r - 260. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981155711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -38 (b) 5 (c) -0.08 (d) 4 (e) 3 (f) 0.1 (g) -350\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*j = -12, -2*j = 2*f + j - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8225*c - 185019 - 209781 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 153 = -3. Suppose -2*b + 5*w + 50 = 29, 4*b = -3*w + 3. What is the remainder when g is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**3 - 111*y**2 - 85*y + 204. Give h(-15).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 0. Suppose -o + 17 = -3*w - n*o, 0 = w + 5*o - 21. Let z = w + 5. Solve l - 3 - z = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -76. Suppose -2*i + 0*i = -4*h - 74, 58 = 2*i + 4*h. Suppose 0 = -5*l + i + 47. What is the greatest common divisor of g and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21 - -2)*(3 + -4). Let z = 25 + m. Let c(k) = -k**3 - 2*k**2 + 3*k - 1. Let p(s) = -s**3 - 3*s**2 + 3*s. Let b(d) = -3*c(d) + 2*p(d). Give b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-2) - 12\/(-4). Suppose c = -4*l + 6 + 6. Suppose 4*v + 2*x - 5*x = 667, 501 = l*v - 2*x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/26 + 24\/156. Differentiate -2 - 45*n**2 + 29*n**g - 18 with respect to n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/416*-4*(-845)\/(-130).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:06 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 1, i: 1, u: 2, f: 4}. Give prob of picking 1 i, 1 u, and 2 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**9*(a\/(a*a**2*a*a))**28 assuming a is positive.\nAnswer: a**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1242 by -3.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 66930000 to the nearest 1000000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-8 - (10 + -16)) - (-6 - -18).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 1\/5 (b) 3 (c) -472\/35 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 5.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-1*sqrt(252))**2) + 1.\nAnswer: -251 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t + 718*t**2 - 20*t + 41*t to the form z*t**2 + b*t + k and give z.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*h - 6. Let k = -1 - h. Let g(d) = -7*d + 8*d + k - d**2 - d. Let l(p) = p**3 + 5*p**2. Determine 3*g(b) + l(b).\nAnswer: b**3 + 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21240 - -21308. Calculate the greatest common factor of 5899 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*s - 3 = -9, -3*f - 4*s - 14 = 0. Find the common denominator of 29\/2 and f + (-26)\/(-12) - (-4)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195424?\nAnswer: 2, 37357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/3 - 214*p**2\/3 + 27386*p\/3 - 272690\/3 = 0.\nAnswer: -185, 11, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*h + 60, 0 = -13*h + 14*h - 6*r + 18. Let v(d) = 42*d. Let c(x) = -x. Give h*c(f) + v(f).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -161?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138479 greater than or equal to 138463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 6*j + 0*j + (1 + 2 - 1)*(3*j - j - j) + 1 + 2*j - 1)*(2 + 2*j - 2).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 4*u + 30 = 0. Suppose -i - 26 = -4*j, 4*j + 1 - 3 = -u*i. Calculate the least common multiple of 1988\/70 + (i\/(-10) - 1) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-126))\/((-7)\/(49\/(-6))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/11326 and -67\/4444.\nAnswer: 25166372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, and 2 u when four letters picked without replacement from lhrturiuttuitiuhll?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 - 2*f - 2. Let w be a(-1). Solve w*n + 3*t - 8 = 0, 2*t - 5*t = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfhkeeekfup. Give prob of sequence up.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 659120734.00846?\nAnswer: -659120736.00846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -5, 0.85 in descending order.\nAnswer: 3, 0.85, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 11 - 3*o**2 + 4*o**2 + 5 in the form l + t*o + w*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -159?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 22*i**2 + 128. Let c(n) = -n. Give c(t(z)).\nAnswer: -44*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 15}. What is prob of sequence rgrr?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120056*v**3 - 1574*v**2 + 11.\nAnswer: -720336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 3*g - 595. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/5 of a litre in millilitres?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248 or -10?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 + 6*q + 14. Calculate the smallest common multiple of 6 and c(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - b)*(-185 - 31*b + 185)*(-2*b**2 - 2*b**2 + 3*b**2) to r*b**3 + v + y*b**4 + l*b**2 + p*b and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(1\/5)))\/z**(-2))\/((z\/(z**2\/z))\/z)**(1\/11) assuming z is positive.\nAnswer: z**(126\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/((-816)\/(-32))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 371?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cec when three letters picked without replacement from ccccccccecvecwc?\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5189 is divided by 179.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -132618 divided by -6?\nAnswer: 22103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**3 - 31*p + 24*p + 6*p**4 - 41*p - 2*p**3 + 320*p**2 - 326*p**2 in the form b*p + k*p**2 + c*p**3 + g + m*p**4 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 5*k - 2, 5*a = 3*k - 25. Solve -5*m - 9 = 3*c, k*m + 6 = -2*c - 4*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x - 2*x. Suppose 3*d = -m - 89995, d + 119995 = -x*d - m. What is d rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 69. Does 45 divide h(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 534*p - 13689.\nAnswer: -(p + 27)*(p + 507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -410\nAnswer: -4\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 29*o - 11. Let y be m(14). Let i(n) = -n + 6. Let q be i(y). Solve 2*r**2 + 20*r - 2*r - 97 + 16 - q*r**2 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, h: 3, m: 4, a: 6, p: 3}. What is prob of sequence hhee?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79, 210, 461, 892, 1563?\n\"Answer: 10*w**3 + 61*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-245)\/1520 + 36\/(-40)*(-30)\/72 and -3\/190.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21642 - -31073. Let j = y - 9431.07986. Let q = -0.08 - j. Round q to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -2\/27*r**3 - 1\/90*r**5 + 15 - 36*r + 1\/18*r**4 + 0*r**2. Let g(s) be the first derivative of i(s). Factor g(v).\nAnswer: -2*v*(v - 2)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162 - 53 - (50 - 20)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = 5*s - 16*s - 77 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(98) + -5)**2.\nAnswer: -112*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/18 - (-4 + 34\/9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5070, -5098, -5138, -5196, -5278?\nAnswer: -5390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 4*p - 2*p)*(-7*p**3 - 2*p**3 + 6*p**3) + (-3 + 3 - 2)*(-p**2 + 2*p**4 + p**2) + (-2 + p**4 + 2)*(0 + 4 - 2).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n. Let k be g(9). Let q be 27\/k*4\/6*-6. What is the closest to -1 in -58, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(1575 - 10*b - 1575)*(17*b - 17*b - b**2) as q*b**2 + a + t*b + p*b**3 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1312933 less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 6*c - 31 + 9\/2*c**2 + c**3. Let a(v) = 0. Calculate v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -1, 1\/6.\nAnswer: -1, 1\/6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {p: 3, q: 2, d: 2, h: 4, l: 2, m: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 30*s + 4*r = -52, 3*s = 5*r + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 474*a - 1039 = 230 + 149, a + 6364 - 6355 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*c*t**3 - 16*b*c - b*t**3 - 108*b + c*t**2 wrt t?\nAnswer: 3*b*c*t**2 - 3*b*t**2 + 2*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5495 or 1?\nAnswer: -3\/5495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 117 + 61 + 2*o**2 + 56.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from vvveeveeveveeeevveev?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14325)\/17190)\/((-3)\/80). Factor x*p + 5000\/9 + 2\/9*p**2.\nAnswer: 2*(p + 50)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167 - 144. Find the third derivative of 214*i**2 - 6*i**4 - 224*i**2 + d*i**4 wrt i.\nAnswer: 408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1916 - -1922. Which is the closest to -0.2? (a) -2\/11 (b) -1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3)*747\/(-6). Let q = u - -360. Let k = -74 + q. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 61*c - 303. Determine k(66).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1224\/5 + 2\/(-8 + 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 11*k + 19. Let r be n(9). What are the prime factors of r - 3 - (-1252 + 1)?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 2 = 62. Solve -h*y + 12 = -l - 7*y, 0 = y + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose k = 2*v - 5*v + 51. Let g = 1999781 - 1999778. Solve 0 = g*r - 4*a + v, 3*a + 0 = -5*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205*f + 312 - 228 - 1289 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31.15+75429917\nAnswer: 75429948.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + -13 - 24) + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4 + 117\/27))\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 6, s: 1, f: 1, k: 4, h: 2}. Give prob of sequence kvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 18432*q**3\/17 + 410075520*q**2\/17 + 8543234*q\/17 + 44496\/17 = 0.\nAnswer: -22248, -1\/96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, w: 5, z: 1, k: 1}. What is prob of picking 1 z and 1 w?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -2\/11 (c) -0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f + 15. Let b be -2 - -2 - (-3)\/(-1). Let v be (-4*f\/b)\/(-2). What is the second biggest value in v, 2\/21, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 21 = 12*o + 4*g, g + 9 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.6 in -70, 0, -3, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 75 - 25 = 0. Suppose 0*z - 3*z + 34 = 5*l, 5*z = -2*l + w. Find the second derivative of 22*v - 9*v - 12*v - l*v**5 wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31*w**2 + 0*w**2 - 37*w**2)*(-3*w + 5*w + 2*w)*(7 - 1 - 27) in the form x*w**3 + r*w**2 + u*w + v and give x.\nAnswer: 5712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*f**2 + 1?\nAnswer: -110*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**8\/60 + 2*o**6\/45 + 13*o**3\/6 - 3*o**2. Let h(i) be the first derivative of d(i). Find the third derivative of h(j) wrt j.\nAnswer: 672*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w + 7. Find the common denominator of (0 + (-86)\/(-4))*w\/(-16) and -50\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 465.4215 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 - 109. Let q = i + -20. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989656631 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 144281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449 + -433. What is the highest common divisor of q and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1536.1 + -1537.1. Sort -2\/7, 2, n, 1\/4, 253 in ascending order.\nAnswer: n, -2\/7, 1\/4, 2, 253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*w - 74*w - 12 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -4, -2441 in decreasing order.\nAnswer: -4, -96, -2441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.47 + 0.27. Which is the second smallest value? (a) -3\/10 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, 342, 958, 1820, 2928, 4282, 5882?\n\"Answer: 123*p**2 + p - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l + 144. Suppose 3 + 47 = l*x. Solve z + 4*z - 3*y + x = 0, -4*z - 2*y + 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {q: 1, y: 2, w: 2, z: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*u + 2, 2*v - 7819 = -3*u. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = 4*i - c, 3*i + c = -2. Let f(x) be the third derivative of 1\/24*x**4 - 1\/60*x**5 + 0 + i*x**3 + 0*x + x**2. Factor f(h).\nAnswer: -h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 8, w: 1, f: 4, o: 2, q: 4}. Give prob of picking 2 f and 1 p.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7718.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/7 - 3861*c**2\/7 - 26984*c\/7 - 23124\/7 = 0.\nAnswer: -3854, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-642)\/107*2*146\/24\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhbjjbjijyyiii. Give prob of sequence ji.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:59 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12908 take away 653593.65?\nAnswer: -666501.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -9*((36 - 36) + 496\/(-6)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 6*z**2 - 15*z - 4. What is the remainder when p(-6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1559936596.4 + 4.\nAnswer: 1559936600.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 19*w = 230. Let q = 111 - w. Suppose -q*f = -63*f - 6. Solve -6 = f*d + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/399 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.241l to millilitres.\nAnswer: 602241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 679*j**4 - 57858*j**3*k**2 + 165273892*k**2 + 3 wrt j.\nAnswer: 2716*j**3 - 173574*j**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 23 = -3*p. Let k(u) = u**3 + 6*u**2 + 9. Calculate the lowest common multiple of 18 and k(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*i - 27, -69 = -3*g - 51. Suppose 9*u - 23 = 4*u - a, -3*u - 5*a + 5 = 0. Sort -4, i, u, -5 in descending order.\nAnswer: u, -4, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4620597.\nAnswer: 3, 37, 41627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2331592 and 29008.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {m: 5, s: 1, a: 2, x: 2, g: 5, o: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5 and 37.65?\nAnswer: 36.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/4)\/(3\/(-12)). Let p be 2\/f - 30\/75. Suppose -3*c = -p*c - 192. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 484\nAnswer: -8\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 93, -3 in descending order.\nAnswer: 93, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - q + 19. Let t(v) = -31*v**2 + 7*v - 133. Determine -15*c(p) - 2*t(p).\nAnswer: 2*p**2 + p - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2118, -2081, -1974, -1761, -1406?\n\"Answer: 6*m**3 - m**2 - 2*m - 2121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Let t be -2*(0 + -1)\/1. What is the second derivative of h**t + n*h + h**2 - 2*h wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218015 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*y + 29. Factor -6*i + y*i**3 - 144 + 144 - 21*i**4 + 21*i**2.\nAnswer: -3*i*(i - 1)*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 - 186*l**2 + 0 + 0.\nAnswer: -161*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -21 + 9 + 1 + 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*o + 44*o + 9*o + 2 - 20*o to the form x*o + v and give x.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(8 - (-26)\/(-4))\/(-3). Sort -7, -9, 5, i, 8.\nAnswer: -9, -7, i, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -28 - 12) + -24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -3, -16, -45, -96, -175?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296121433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2834 - 5?\nAnswer: 282a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 4*f + 24. Let i be (3\/f)\/(2\/60). Suppose -3*z = -i, -5*h - 4*z + 210 = z. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2270?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*(-11)\/2*(-69)\/759.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1710)\/950 - 1*52\/(-20)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -317 + 336. Suppose -a*m + 255 = 32*m. Factor 0 - 1\/4*k**4 + 3\/8*k**3 - 1\/2*k + 1\/2*k**2 - 1\/8*k**m.\nAnswer: -k*(k - 1)**2*(k + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - i - 3*i = 216, -2*i = l - 54. Solve 49*j = l*j - 4*k - 5, 5*k = 2*j - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370755465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4634156236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789 = 50*m - 189 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5*p - 9. Let w be f(3). Suppose -6*k = w + 9. Sort k, 0, -2, 1 in decreasing order.\nAnswer: 1, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -3*z + 26*z. Let m be 1\/1*1*z. Sort m, -5, 6 in increasing order.\nAnswer: -5, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 0.3, -1\/12, -0.1, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from {p: 15, x: 5}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762*k - 2263*k + 764*k + 7*k**3 + 737*k.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -9 (b) 22 (c) -0.9 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 40*z**2 - 402*z + 35. Give h(-22).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108, 201, 380, 693, 1188?\n\"Answer: 8*r**3 - 5*r**2 + 52*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 7529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -253*f. Let d(s) = 16*s + 1. Give d(z(w)).\nAnswer: -4048*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.751 - -1.261. Let a = s - -1.34. Let p = 5.5 + a. What is p rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1140*a + 417. Let r(x) = 51*x + 19. Calculate 2*i(p) - 45*r(p).\nAnswer: -15*p - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 5*g + 2. Let l be n(2). Let x = -96 + 95.7. What is the third biggest value in -2\/7, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**2\/2 + d - 12. Determine k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/30 + 11*g**4\/24 - 11*g**3\/2 - 6*g**2 - 4*g. Calculate the lowest common multiple of b(4) and 11.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 112*p**2 - 1. Let f(s) = 4*s. Determine f(x(o)).\nAnswer: 448*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phzphhhzhhhzizuz. What is prob of picking 2 h?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 484702050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2601687?\nAnswer: 3, 11, 78839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 + 5*i - 8. Let y(n) = -n**2 + n + 1. Let p = -18536 + 18537. What is p*a(z) - 6*y(z)?\nAnswer: -z**2 - z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47029 and 5026?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383161*g**2\/8 + 17332*g + 1568 = 0 for g.\nAnswer: -112\/619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from ueeeueueueueee?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 6*n + n + n - 2 + 2 + (5 + 0 - 2)*(n + 0*n - 2*n) - 3*n + 0*n + n)*(-4*n + 4*n + 2*n**2) to u*n + d*n**2 + q*n**3 + x and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 100?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 5:28 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, 1 b, and 1 z when four letters picked without replacement from {b: 3, d: 4, k: 1, y: 4, z: 1, l: 5}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 11:51 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91670, -365796, -822672, -1462298, -2284674, -3289800, -4477676?\nAnswer: -5848302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15521*x. Let i be y(1). Suppose 4*u - 3*u + 4521 = 0. Let b = u - i. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429\/390*120\/110\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2611202034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -15086.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*f + 20, -5*f + 5*s + 22 + 28 = 0. Let n be 78\/195 - (-26)\/f. Solve 3*j - n*o = -12, -3*o + 4 = -5*j - 2*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.18019904 less than -0.4?\nAnswer: 2.78019904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**5 + a**4. Let r(w) = 21*w**5 + 17*w**4 + 4*w**3 + 127*w**2 + 6. Let i(o) = -r(o) + 9*x(o). Find the third derivative of i(j) wrt j.\nAnswer: -720*j**2 - 192*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m*m**(1\/4)*m))))\/m**(-1\/4))\/((m\/((m\/(m*m\/(m*m\/(m*m**(-11\/2))*m*m)))\/m))\/m**(-7)) assuming m is positive.\nAnswer: m**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 43*d**2 + 1289*d + 29. Calculate m(-30).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 1258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 4*h - 52. Calculate the remainder when h is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 2 - 2 - 1. Suppose 0 = -3*n - z - 1, -3*n + d*z = -2*n - 2. Let i(l) = -12*l - 312. Let s be i(-26). Solve s*g + 2*g = n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2, 0.3, -4, 1\/44?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 72, 1, -297?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 15. Let n = c - 3. Solve 2*g - 3*x - 5 = 0, -5*g + n*g - x = -13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*u = -75. Differentiate -u*k**2 + 1 + 6 - 8*k**2 wrt k.\nAnswer: -66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.4 + 1.6. Let i = s + -15. Let k = -8 + i. Put k, -4, 4 in increasing order.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341644695 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 60\/7*s - 123\/7*s**2 - 3\/7*s**4 + 66\/7*s**3 + 0 = 0. What is s?\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -82. Suppose 4*v + 8 = -0*v. List the prime factors of (v\/(-6))\/(2\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 9 - 1 + 2 - 6 + 1 + (5 - 2 - 4)*(-4 - 3 + 5) + 0 + 1 - 3)*(-9 + 7*h + 9) in the form g*h + f and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, y: 3}. Give prob of sequence www.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0107 + -206.0107. Let r = -201 - j. Which is the closest to 3? (a) 0.5 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1202138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 15*c + 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786 a factor of 2480010834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3263 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Suppose 0 = -5*z - s*y - 205, 2*z - 24 + 94 = -5*y. Let j be (-1)\/(-4) - z\/12. Solve 2*o - 3*o - 3 = 0, 5*r - j*o = 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -281218 times 0.0705\nAnswer: -19825.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246862 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226819, -226951, -227085, -227221, -227359, -227499?\nAnswer: -227641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6) - 26673\/90. Let w = c - -296. Let r be -7 - -8 - 18\/16. Sort r, -2\/5, w in decreasing order.\nAnswer: w, r, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6652600036 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5905612782.9999711 - -5905613053. Let w = s - 270. Round w to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5))**(6\/17)*((((s*s**(-1\/6)*s*s)\/s)\/s)\/s)**(-5\/3) assuming s is positive.\nAnswer: s**(533\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -362.7 * -191\nAnswer: 69275.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c - 1135 + 1255 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Let l = j - 2. Find the common denominator of 1\/22 and -28*(0 - l\/8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5424 and 6441.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/25*v**3 + 18\/25*v - 4\/25 - 4\/5*v**2.\nAnswer: 2*(v - 2)*(v - 1)*(3*v - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 23. Let i = -2 - t. Let g = 3.5 + -3.8. Put i, 0.3, g in ascending order.\nAnswer: i, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzk when three letters picked without replacement from {k: 1, z: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((4*sqrt(1100) - sqrt(44))\/sqrt(4) - sqrt(22)\/(sqrt(2)*-5)*-4) + 5))**2.\nAnswer: 728*sqrt(11) + 366864\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/28)\/((-42)\/1960*10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 3)*(0 + -1). Let y = z - 0. Suppose 5*x + 2*i - 1 = y, 2*i - 2 = 0. Is 2\/5 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeejfsjfssffffj. Give prob of sequence ef.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*w + 2*w. Suppose 2*i + 210 = w*p, 3*p = -0*i - 3*i + 135. What is the highest common factor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -5, -6, 0, -123, -3 in decreasing order.\nAnswer: 82, 0, -3, -5, -6, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 91*m + 5. Let p(c) = 2*c**2 + 96*c + 4. Give 6*b(i) - 7*p(i).\nAnswer: -2*i**2 - 126*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:28 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 3583 = 24744. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 11127 = 2163. Suppose 0 = 2*u + 4*c - 34, -3*c - 46 = -u - 4*u. Suppose 4*q - 604 = u*z - 6*z, -2*q - 5*z = -s. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-30))**(-28)*((r**(1\/4)\/r)\/r)\/(r\/(r*r*r\/r**11)*r))**50 assuming r is positive.\nAnswer: r**(82825\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/(-15) - 120820280\/(-84) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001100010 + 11110010010?\nAnswer: -10010011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 16*o + 17*o - 3 = 0, 2*j = o - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 99*m**2 - 1451*m - 221. Let t be d(112). Solve -311*b = -t*b + 168 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/23)*n)\/n)**39 assuming n is positive.\nAnswer: n**(-234\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378980 = 11015*y - 187*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 - 133. What is the nearest to -28\/9 in -1, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 14 = 4*h, -4*p + 2*h - 2 = p. Let q(u) = -1 - 18*u + 3 - 6. Does 8 divide q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 3*w + 20 = 0. Let b be -2 - w*(-172)\/(-8)*-3. Suppose y = b + 28. What are the prime factors of y?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(504\/852) - -12. Let -s*r**4 + 0*r**3 + 0*r + 0 + 0*r**2 = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 18*q**2 + 11*q - 40. Suppose -w + 3*u = 20, 25 - 75 = 3*w + u. What is the lowest common multiple of 14 and h(w)?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -347\/3 (b) 5.57 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, h: 2}. What is prob of picking 1 u and 1 h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*s + 1540 = -184*s. Does 35 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7564 and 19764.\nAnswer: 612684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 - 17 + 8*b**5 + 38 + (-b**2 + 2*b**2 - 2*b**2)*(3*b**3 + 2*b**3 - 4*b**3).\nAnswer: 7*b**5 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12295, -12288, -12281, -12274?\n\"Answer: 7*i - 12302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 797449\/4 + 1\/4*y**2 - 893\/2*y = 0.\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-173)\/((-1)\/1*1\/(-3)). Let d = b + 959. List the prime factors of d.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a millennium in years?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2055, -4110, -6165, -8220?\nAnswer: -10275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17674.6874 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -12. Solve 3*o + 0*o + h = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 5, -562, -6, -4, -116 in ascending order.\nAnswer: -562, -116, -6, -4, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, 3, 5, -3122\/10327?\nAnswer: -3122\/10327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25578 = 14*k + 1358. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/4 + 180273*l**2\/4 - 766092*l + 721024 = 0.\nAnswer: 1, 16, 180256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133.9999641 + -134. What is n rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952253887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g - 50*g = 1544. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -29*c - 3. Solve 4*p - 4 = -c*v - 16, 5*v - 6 = 2*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 109318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 52, 59, 68, 79?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1991, -4121, -6359, -8711, -11183?\nAnswer: -13781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4602 - 10462?\nAnswer: -4760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-21*(-42)\/(-294).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44379895 and -1.758?\nAnswer: 44379896.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0236 - 22.6764. Let d = 28 + u. What is d rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppi when four letters picked without replacement from gpitpiipggpgg.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17311700 divided by -3462340.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4154 is divided by 661.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.231667624 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -254*x + 6*x**3 - 1153*x**2 + 11*x**4 + 1154*x**2 + 271*x as b*x + j*x**2 + l*x**4 + r + m*x**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-156) + 120\/(-2340).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2774 = -4556*f - 92902 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/3 + 4*w**2 - 3*w + 2\/3.\nAnswer: -(w - 1)**2*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 421, 1713, 3867, 6883, 10761?\n\"Answer: 431*s**2 - s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36138.6705 * 0.4\nAnswer: -14455.4682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 + 0 + t**2 + 2*t**2 - 2 in the form z*t**2 + o + b*t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*d**4 - 52*d - 29\/2*d**2 + 7*d**3 - 30 = 0. What is d?\nAnswer: -1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose -4 = -2*x - 14. Let j = -3.1 + 0.1. Sort x, -0.5, j in descending order.\nAnswer: -0.5, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u**3 - 26*u**3 + 9*u**3 + (-2*u + 0*u + 3*u)*(3*u**2 - 3*u**2 + u**2) + 3*u**3 + u**3 + 0*u**3 to b*u + s + d*u**3 + v*u**2 and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1 - g)*(3 + 5 + 4) in the form m*g + w and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w - 8. What is the remainder when s(-3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 7 - 3002*q**2 - 313*q**5 + 3000*q**2)*(1 - 3 + 3).\nAnswer: -313*q**5 - 2*q**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 7:01 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b16 (base 13) to base 7.\nAnswer: -5322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 354, 733, 1132, 1551?\n\"Answer: 10*x**2 + 349*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2730224839 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89.009 - -89.0610082. Let m = t - 0.0519. Round m to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.36437s to minutes.\nAnswer: 0.0727395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -50840 greater than -54119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-51)\/24 - 12446\/2032) + -24.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(304) + (sqrt(171)\/(sqrt(27)\/sqrt(3)) + sqrt(190)\/sqrt(40))**2.\nAnswer: 4*sqrt(19) + 199\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 9) in base 3?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, -2\/25, -0.07081, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -22. Let x be (-5)\/d + 7074\/16. Calculate the greatest common factor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324806752288 - -624?\nAnswer: -324806751664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.84 - -0.26. What is c rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7191295143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/16*1*(-120)\/(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(1*sqrt(150)))**2 + 0.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 351857792 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 52\/(-8))*-2. Are 2 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/495792 and 113\/1386.\nAnswer: 3470544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 510690901?\nAnswer: -510690897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/902*(1 + 0).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -235.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 a factor of 136306132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 305 = -39*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-4)*v*v)\/v*v)\/(v\/(v\/(v**(-6)\/v*v)))*(v*v**(4\/3)\/v)\/v**(-1) assuming v is positive.\nAnswer: v**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/30 and -143\/2004726.\nAnswer: 10023630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -360.24894935 minus 35.64?\nAnswer: -395.88894935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6481 - 6482. Which is the second smallest value? (a) 903 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -423549*l + 1694193. What is m(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (-4)\/1)\/((-2)\/10). Let j be -2*((-3)\/(-2))\/3. What is the units digit of (-144)\/(-5) - j\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 6*d - 9. Let b(l) = -l**2 - l + 12. Let j be b(-3). Calculate g(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44631 and 100833?\nAnswer: 2722491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 + 16*h - 12. Let m be x(-12). Let k be (0 - 2)\/((-5)\/10). Suppose -k*c - 2*c = -m. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*o - 47 + 569, 5*i + 5*o = -2600. Let l = i + 1007. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 7*j**2 - 9*j + 5. Let k(q) = -q**3 - 3*q**2 - 5*q + 3. Let v(h) = 3*i(h) - 5*k(h). Determine v(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/39852923?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2106, 2102, 2094, 2082, 2066, 2046?\nAnswer: 2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 4*i + 2*i)*(-12 - 3 - 4).\nAnswer: -76*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 + -99938051776?\nAnswer: -99938051775.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-13 + 1 + -4). Suppose -14*v + 16 = -q*v. Let x = -20 + 19.9. What is the closest to 2 in x, v, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-5)*o)\/o*o\/o**(-10))**(-1\/11))**(-1\/36))**(-29) assuming o is positive.\nAnswer: o**(-29\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*s**5)*(-3 - 3 + 3).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221041777 and 5606.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -215 in -204, 3\/2, -4?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q - 931 = 1819 + 3667 for q.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 3. Give l(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458964441 rounded to the nearest one hundred thousand?\nAnswer: 459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 20, 2*r - 10 = 2*w + w. Suppose w = 2*v - v - 5. Solve -v*q - 12 = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.797521 to three dps.\nAnswer: -2.798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3669.\nAnswer: 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -114466*d - 7. Let i(a) = -65*a. Give u(i(o)).\nAnswer: 7440290*o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12298*m**2 - 52*m - 266. Let d be r(-7). What is d rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1604364*v**6 - 160239*v**2?\nAnswer: 192523680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -181308924 at least -181308921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/944 and -101\/23962496?\nAnswer: 23962496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44219 is divided by 882.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/24 - (-2 - (-1315)\/520). Which is the second biggest value? (a) 0.4 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.0614, -4, -2\/39, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 - -5.10680537782.\nAnswer: -219.89319462218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (0 - -2)) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -14. Let y(x) be the second derivative of -x**4\/12 + 4*x**3\/3 - x**2\/2 + 2745*x. Calculate y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2301381.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -51*s**3 - 10*s**2 - s + 10. Let q be d(10). Round q to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) 168 (c) -0.2 (d) 0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2360*v**4 + 136*v**3 + 2*v**2 - 2927575.\nAnswer: -9440*v**3 + 408*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/224)\/((-73)\/5110)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 8*i**2 - 9*i + 3. Let g be h(-9). Let v(a) = a**2 + 2*a + 2. Is v(g) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**3\/6 - 2*d**2 + d. Let p(r) = r - 1. Suppose 3*a - 11 + 20 = -3*c, 5*c + 3 = -2*a. Calculate c*s(o) - 2*p(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29249 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.72? (a) 0.4 (b) 13 (c) 4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/(1\/12). Solve a = 3*q - 2*t, 2*q - 4*q = -5*t - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-188)\/235 - (958\/(-60) + -2) and 290\/4*5\/1980*11.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 1. Let u(w) = 0*w + w**3 + 1113 - w + w**2 - 1109. What is -4*m(p) + u(p)?\nAnswer: p**3 + 5*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7 - 12*v - 1 - 3. Let g(s) = -s. What is g(k(a))?\nAnswer: 12*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 7*p**2 + 10*p + 3. Let g be y(5). Suppose 42 = 4*w + g*w. Suppose -w*z = -194 - 34. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -486\/1385 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*1\/30 - 160\/(-50). Solve -17 = m*a - 3*o - 23, -4*o = -4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.01 - -2. Let y = b - 1.99. Let u = -35 + 35.3. What is the closest to -0.1 in 2\/5, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 4. Let w be (-403)\/(-6) - (6 + -4)\/(-2). Let v = w - 68. Is o <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2)\/j*j))\/j*j)**6\/((j**(-36)*j)\/(j**38*j)) assuming j is positive.\nAnswer: j**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688)*-2 - sqrt(2688))\/((sqrt(240)\/sqrt(4) + sqrt(60))\/sqrt(10))*-3.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2115673, 1\/3, -3.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o + 15. Let w(q) = -q**3 + q**2 - 7. Suppose 2*z = 5*z. Let r be w(z). Does 23 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(2\/17)*u*u\/((u*u**(1\/5))\/u)*(u*u\/(u\/u**(-1\/4)))**(10\/11) assuming u is positive.\nAnswer: u**(8161\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*o**3 - 196*o**3 + 391*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 + 1. Let d = -1 + -2. Let u(o) = o**2 + 3*o + 1. Let g be u(d). Let k be r(g). Solve k = -c - 0 + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/216 and -109\/1356?\nAnswer: 24408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/10345275 and 53\/20690550?\nAnswer: 20690550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Suppose y = -z - a*z + 7, 5*z - 2*y = 30. Suppose 8 = -2*u - z*v, -1 = -v + 2*v. Let m(k) = 3*k**2 - k + 1. Give m(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 20, -3, -3\/5, -12.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -767 - -770. Which is the fourth biggest value? (a) -2\/7 (b) -5 (c) t (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 69*k + 124. Let q(z) = 23*z + 44. Calculate 8*q(r) - 3*t(r).\nAnswer: -23*r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/7 + 281*n**3 + 1291005*n**2\/7 + 283585525*n\/7 + 562022750\/7 = 0 for n.\nAnswer: -655, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 r, and 1 p when four letters picked without replacement from rmprrrprpm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 541, -5, -8, 5, 2, -42 in ascending order.\nAnswer: -42, -8, -5, 2, 5, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m + 111. Let y(o) = -495 + 155 + o + 160 + 143 - 3*o. What is 2*w(i) + 7*y(i)?\nAnswer: -2*i**3 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -1\/20*q**5 - 7\/6*q**3 - 17\/2*q**2 - 1\/2*q**4 + 11*q + 0. Is 27 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**2 - 1\/12*o**4 - 4\/3*o**3 + 0*o + 0. What is the units digit of p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let p be 0\/(-2*b) + 2. Let f(k) be the third derivative of k**6\/120 + k**4\/6 - k**3\/2 - 13*k**2. Give f(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.119337872 + -39536.919457872. Let j = -39534 - y. Let w = j - 0.8. Round w to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-126)\/49)\/(27\/(-126)). What is the smallest value in q, 1.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-4)\/8)\/(4\/(-32)) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r + 350 = -39*r - 7*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 143*l**5\/5 - 668*l - 581. Find the first derivative of f(p) wrt p.\nAnswer: 572*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632, 604, 548, 452, 304?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:43 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-15))\/((-40)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-25)*(-10)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -260, 1, -2, -13, 8, -3, -4.\nAnswer: -260, -13, -4, -3, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.10112*0.4.\nAnswer: 1.240448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 333?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(4)*1 - (sqrt(4) + sqrt(256)*1))\/(sqrt(4)\/(sqrt(2)*-1) + -2*sqrt(128)).\nAnswer: 8*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = -11*o - 29104. Do o and -855 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 28. Let n be k(-21). Suppose r + 0*r = 0. Suppose 45 = 5*z - 5*t, r = -z - 2*z + 5*t + 31. Is z equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20093173?\nAnswer: 131, 163, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5)\/10) - (6 + -14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -q - 169, -3*a - 2 = -a. Let s be ((-8)\/(-10))\/(q\/75). Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**10*x**(-2\/19)*x)\/(x**(-2\/23)\/(x\/(x**(1\/2)*x))))**(-2\/13) assuming x is positive.\nAnswer: x**(-9161\/5681)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 610*y**2 + 44 + 2 - 24)*(0 - y**2 + 0) + 2*y**2 + 2*y**4 - 2*y**2 to d*y**4 + l*y**2 + j*y + u*y**3 + z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a + 10. Suppose -4*b + 85 = 5*x, -x + 5*b - 17 = -3*x. What is the remainder when l(4) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13637, -2, 0, -3, 3 in decreasing order.\nAnswer: 13637, 3, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -547?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -438*s*y**3 - 5*s*y**2 + s*y + 3*s + 106*y**3 + 97*y**2 - 39 wrt y.\nAnswer: -2628*s + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/25, 3\/5, 0.069?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(128))**2 - (sqrt(2) + sqrt(242) + sqrt(242)*2).\nAnswer: -34*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56, -50, -36, -8, 40?\n\"Answer: b**3 - 2*b**2 + 5*b - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215310?\nAnswer: 2, 3, 5, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30609, 30593, 30543, 30441, 30269, 30009, 29643?\nAnswer: 29153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j - 23*j + 370 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 72879548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 25 = d, 4*o + 5*d - 29 = 0. Let b be o\/(2\/(-4) - -1). Solve -2 + b*n**2 + 1 - 1 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*k + 20 = -3*n, 4*n - 33 = 3*k. Factor -14*f**4 + n*f**5 + 15*f**2 - 21*f**4 - 45*f**3 + 50*f**3 - 34*f**5.\nAnswer: -5*f**2*(f + 1)**2*(5*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 9 = 0, 0 = 3*w - 4*u - 2 + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 + -6 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -154 = -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117077 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -540*p**3 - 4*p**2 - 10 - 4*p**2 - 8*p + 539*p**3. Let n = -14 - -7. Let f be g(n). Which is the smallest value? (a) f (b) -2\/3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4645, -2856, -10357, -17858?\nAnswer: -25359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5\/20 - 7*h**4\/12 - 7*h**3\/6 + h + 2. Let m(i) be the first derivative of r(i). What is the units digit of m(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 4:20 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 516952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 8:11 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 77\/3. What is the nearest to -2\/5 in u, -5\/2, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*h + 80 = 0, -g + 191 = h - 13*h + 42 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfw when three letters picked without replacement from wfxqmwssxmmw.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:02 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m**2 - m + 53. Let p be y(-7). Let t = -338 - p. List the prime factors of t.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 6. Let r be 0\/2*(-1 + 0). Let h be x(r). Suppose 2*q - h = 12. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9183*z + 32. Let j(o) = -6124*o - 23. Give -7*j(h) - 5*s(h).\nAnswer: -3047*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(405))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 10*j**2 - 10*j + 10. Suppose 5*t + 60 = -5*y, 2*y = 4*t - 3*y + 21. Give z(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 2*j**2 - 4*j - 2. Let g be p(-2). Let n(a) = -3*a + g + a + 4*a + 0. Let q be n(-6). Let o(c) = c**3 + 6*c**2 + 4. Calculate o(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 3, -52, -6, 23, -5, 4.\nAnswer: -52, -6, -5, 3, 4, 23, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from edgegeydtggyhgyggtyg.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -399*c + 370. Is o(-31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 5*g, 4*l = g + 9. Suppose -l*y = -12 - 0. Suppose -y + 2 = -u. Let f(s) = -9*s - 2. Give f(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40270.\nAnswer: 2, 5, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85539, 172127, 258715, 345303, 431891?\nAnswer: 518479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -479 - -478. Let m be (w\/14)\/((-264)\/(-462)). Sort 0.4, m, -0.4 in ascending order.\nAnswer: -0.4, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 749*g**2 - 3*g - 1. List the prime factors of j(1).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -56*m. Let n(t) = 112*t. Let k(u) = -14*i(u) - 6*n(u). Let a(v) = -135*v + 48. Let y(s) = 28*s - 10. Let j(z) = 5*a(z) + 24*y(z). What is j(k(r))?\nAnswer: -336*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216.1 - 216.094615. What is k rounded to 4 decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsp when three letters picked without replacement from bbnbpnppspnnbbbbbbbp?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/58920 and -157\/4289376.\nAnswer: 21446880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34807 - -34835. What is the highest common factor of 3044 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 10:25 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3032 - -1767. Is 1 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 5*l + 4*y - 71 = 0, 0 = 3*l - 3*y - 36. Calculate the remainder when 101 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + d = -4, -3*b - 26 = -5*d - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-11)*-2 - 36\/(-198)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 564.632 - 564. Let y = g + 1.028. Which is smaller: 1\/4 or y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -61.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + -18 - (-162)\/4. Is 38 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 152\/12*18 - 2 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 7638*k - 7637*k + 20, 4 = 3*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 22 = 9*i + r, 4*i - 2*r + 16 = 42 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 6726?\nAnswer: 33630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39b - 1?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 9 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 95\/(-76) - (-5700)\/80. Calculate the highest common factor of f and 1505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/50 and -23\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1288 = 2*a - 390, -1470 = -5*g - 2*a. Suppose -g = -2*r + 3*z, 6*r - 3*r + 3*z - 474 = 0. What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let h(p) be the third derivative of 20*p**2 + 1\/24*p**4 + 0 + 0*p**3 + 0*p. What is w(h(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/12)\/((-15)\/9*24\/150).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-7 + (21 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(132))\/sqrt(11))**2 - sqrt(33)\/(sqrt(11)*-4).\nAnswer: sqrt(3)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5029*i + 6. Let d(y) = 248*y - 2. Determine d(b(q)).\nAnswer: 1247192*q + 1486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1\/(-10))\/(24\/15)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1820 and 280?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 3, -212, 0.4, -808, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 greater than 1062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - o**4 + 0*o**4 - 55 + 55 - 77*o**4 + (o**2 - o**2 + 3*o**2)*(-2*o**2 + o**2 - 3*o**2).\nAnswer: -91*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127257 or -127263?\nAnswer: -127257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (0 - -1 - 19). Let f be ((-92)\/6)\/(c\/9). Let p = 9 - f. Sort 3, 4\/7, p in ascending order.\nAnswer: p, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2135 and 72\/57035.\nAnswer: 399245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 6, l: 3, v: 4, z: 1}. What is prob of picking 1 f, 2 l, and 1 p?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1809 + -1802. Is n at most -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1314149*l*p + 24*l - 2*p**2 - 1976 wrt p.\nAnswer: -1314149*l - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57939 is divided by 3088?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106.25 + -7.75. Suppose 3*q + 1 - 4 = 0. What is the nearest to 0.1 in q, h, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q**2 + q + 53. Let s be n(0). Suppose -89 = -w + s. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(5) - 6*(-3 + sqrt(5))))*4.\nAnswer: -336 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023377 to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14490 and 560?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4 + 21 - 5)*(14 - 14 - 5*o**2).\nAnswer: 20*o**3 - 100*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3280*g = -3276*g - 5*c - 121, -6*g - 5*c = -169 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68035223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -12. Let u = -4 - a. Let f(n) = n**2 + 4*n. Let p be f(-5). Solve -5*h - 10 = 0, -p*h = u*s - 2*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 28. Suppose -2*c + 7 + 1 = 0. Calculate the lowest common multiple of n(-12) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 14*x + 48 = 0. Let y be 2559\/(-10)*(-8)\/x. Let u = -172 + y. Are -2 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 2937*s\/5 - 4648\/5.\nAnswer: -(4*s + 581)*(5*s + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 34 + 105 + 108 - 3 + 48 in the form n + j*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001289945068 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71431187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 22*t + 3*t**2 + 12 - 16*t - 2*t**2. Let r = -24 - -34. What is the smallest common multiple of r and h(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -38. Are -5\/26 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71245318 to the nearest integer?\nAnswer: 8441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 5*a + 3. Let n be h(3). Suppose k = -o + 11, 0*o - n = -2*k + 2*o. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -555 + 560. Which is the closest to 2.3? (a) 2\/7 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 67350558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02974 take away -0.4?\nAnswer: 0.37026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -17 + 35 + 1029*z - 1030*z + 14. What is i(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w + 4 = 38*w. Solve -5*g = w + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-333)\/333*1\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 79*k**2 + 72*k**2 + 2 + k**3. What is the lowest common multiple of 7 and l(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -2. Let d = -19797\/5 - -3959. Which is the closest to s? (a) 3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**5 + 0*k**5 + 0*k**5)*(0 - 4 + 2) + (8*k + 5*k - 2*k)*(0*k**2 + 0*k**2 - 2*k**4).\nAnswer: -26*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-23760)*-90)\/(2\/((-8)\/(-114))).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 295\/16, -683 in increasing order.\nAnswer: -683, -1\/2, 295\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 4) + 4 + 6. Let j be -2 + (2 - 33\/(-15)). Is p greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 6*r + 13*r + 6 = 0. Solve -2*i - 10 = 0, -5*f - 6*i + r*i = 30 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -644.4 + 643.9683. Let y = q + 0.43. What is y rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(3)*-4 - sqrt(22)) + (-2*sqrt(1408) - sqrt(1408)) + sqrt(1408))\/((sqrt(588)*2)\/sqrt(6)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/7)*(h\/(h*h*h**(-16\/3)))\/h assuming h is positive.\nAnswer: h**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31712176211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 1:12 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1118 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, -3*u - 51 = -5*d + 9. Solve 37 = -5*s + d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46180 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33426 and 162.\nAnswer: 100278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((((-155)\/186)\/(15\/(-4)))\/((-8)\/3))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + 67?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8498271?\nAnswer: 3, 37, 76561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -82, -66, -34, 20, 102, 218, 374?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.9. Let b = 0.9 + k. Let h = 11 + -10.7. Sort b, -0.2, h in increasing order.\nAnswer: -0.2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2*o + 6, 2*y + 5*o - 14 - 1 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123300 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 865835521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.91 + -0.985. Let w = 4.675 + f. Which is the second biggest value? (a) -3 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 + 4 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1241 = -4*b - 5*s, 0 = 2*b + 3*b + 3*s - 1535. Let w = 564 + -335. Let t = b + w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 958*i + 5. Let j(s) = -5*s - 1. What is -4*j(k) - m(k)?\nAnswer: -938*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40293\/2 + 19487. Let i = 707 + u. What is the common denominator of i and -1\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1157555 and 37835512?\nAnswer: 1324242920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-255)\/(-45))\/((-32)\/(-72)*-3)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/42)\/(1\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 3 - 19 + 9 + 7.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (8 + 2 - (-132 + 244))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 398170?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p + 0*p**2 + 0*p**3 - 9 - 4\/3*p**4. Let c(m) = m**2. Determine c(v(n)).\nAnswer: 256*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/6 - 2\/(-3). Suppose i = 4*h - 2*x, h + 2 = 3*x - 6*x. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*d - 16, 4*d + d - 24 = -p. Which is the third smallest value? (a) 6 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 4697.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(4) + sqrt(36)) + (sqrt(6) - (sqrt(216)\/sqrt(4))\/sqrt(9)))\/(sqrt(9)\/sqrt(3)*1 + sqrt(3) + -5*sqrt(6)\/sqrt(2)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -16 (c) 394 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/9))**(-4\/13) assuming c is positive.\nAnswer: c**(16\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 53 - 49 + 22*c**2 to the form m*c**2 + w*c + q and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 * 0.3\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 529001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2 + 2)*(-2 + 6 + 2).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45784, -45783, -45782?\nAnswer: -45781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351823, 703688, 1055553?\nAnswer: 1407418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 242605607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12228.3 + -12228. What is the second biggest value in 3, -100, 2, j, -0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 791*c**3 + 176072*c**2 + 277173749 wrt c?\nAnswer: 2373*c**2 + 352144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -70 + -25276?\nAnswer: -25356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 96*s - 281. Calculate g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 9. Let s = -33 - -35. Put 3\/8, l, s in increasing order.\nAnswer: 3\/8, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12026, 42531, 91514, 158975, 244914, 349331?\n\"Answer: 9239*b**2 + 2788*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*-1 + sqrt(72) + (1 + sqrt(288) + (sqrt(288) + -1 - sqrt(288)))**2.\nAnswer: 4*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*d - 3, 2*d + 19 = -3*b. Let x = 3 + b. Let f = x - -12. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*b = 0, -20*n - 149*b - 1 = -17*n - 148*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2816 - 2813. Let r be 2\/4 + 15\/(-20). What is the second smallest value in -0.5, r, a, 0.02?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -29*c**2 - 70*c + 51. What is r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-22)\/(-12)))\/(-8)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2 + 83. What is the remainder when b(0) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 399*p + 1120. Give m(-2).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -1\/3, 0.2, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1996271 - 9*v**3 - 1996271.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g**1*g)\/g))*g)**(-2\/9)\/((g*g*g**(-2\/25))\/(g**5\/g*g)) assuming g is positive.\nAnswer: g**(593\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436323 is divided by 277.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15150.5 rounded to the nearest 100?\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8025474 and -11\/329814?\nAnswer: 24076422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 735 + -740. Which is the third smallest value? (a) -13 (b) y (c) -4 (d) 3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182623, 730474, 1643567, 2921908, 4565503?\nAnswer: 6574358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z + 10. Suppose -r = 5*o + 8, -z*o - 10 = -3*r - 3*o. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 22*o**2 - 71*o + 30. Let y be w(-18). Let c(n) = 47*n + 60. Is 46 a factor of c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-216)\/756)\/(0 + (-10)\/28). Which is the closest to -1? (a) -3\/11 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 703 - 417. Does 26 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20440 + -5?\nAnswer: 20435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476481 + -1892223. Let v = w + 2368702.360177. Let d = v - -1.64. What is d rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -4*z - p - 16, 2*p + 4 = 0. Let q = -27 - z. Suppose -8 = 7*r - q*r. What is the lowest common multiple of 13 and r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1172, -1176, -1180, -1184?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-1 - 7) - (0 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c + 10. What is the remainder when 6\/(-2) + 133\/14*10 is divided by (-154)\/(-5) + 1\/c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnccienni. Give prob of sequence ecc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*l - 88. Let b = l + 48. Let j be 1\/5 + (-3)\/b. Solve r + 4 = -j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(sqrt(352)\/sqrt(2)))\/(-1*(-2*sqrt(100))\/sqrt(10)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*1)**2*1 + 3.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -424.\nAnswer: -424, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1231 + -1096. Solve t*w = 134*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 + 24*v**2 + 2*v + 21. Let u be i(-8). Solve -25 = -f - 3*m - 2*m, 4*f + u*m = 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0792 - 1.0792. Let j = -0.16 + 5.16. Which is the nearest to -3? (a) h (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 170142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7983 + 9015. Calculate the lowest common multiple of s and 90.\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Let a(k) = -k**2 - 7*k + 5. Let z be a(-7). Suppose -2 = -z*b + 7*b. What is the third biggest value in u, 2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*f - 2 = -472, 5*q + f - 445 = 0. What is the common denominator of 15\/(-24)*198\/(-75) and (-20)\/q + (-445)\/36?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 1. Suppose g + 2*g = -9. Let u(j) = -j**3 - 2*j**2 + 2*j + 3. Let v be u(g). What is w(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -242*m**3 + 55*m**2 - 55. Let n(d) = -2*d**3 + 0*d**3 - 5*d**3 - 2*d**3 - 25*d**2 - 2 + 27*d**2. What is 55*n(c) - 2*p(c)?\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9514000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by -118.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z + 3. Let r be g(7). Let l = r + -16. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-26)\/3)\/(4\/15). Let h = v - -33. Let r = -3 - -6. Which is the third biggest value? (a) 1 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3946 is divided by 1269?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*j**3 + 999112*j**2 - 4084832*j + 347648 = 0 for j.\nAnswer: -10864, 2\/23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**8\/r))\/r)\/(r**(1\/12)\/r))\/(r\/r**(2\/9)*r)**(-19) assuming r is positive.\nAnswer: r**(997\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s + 44*s = 40*s - 352 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4293 divided by 5\nAnswer: 4293\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -361*i**7\/7 + 18*i**3 + 4*i - 1408. What is the third derivative of t(s) wrt s?\nAnswer: -43320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 12964 - 12964.2. Which is the second smallest value? (a) 2\/7 (b) f (c) -3\/5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 50742.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)*o**3\/o*(o\/o**(1\/3))**0)**(11\/8) assuming o is positive.\nAnswer: o**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 - 5*f + 20. Let h(w) = -5*w**3 - 6*w + 21. Calculate -6*a(q) + 5*h(q).\nAnswer: 5*q**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1313 = 7*h - 416. Let l = 2\/143235 - -69373481\/286470. Let y = l - h. What is the common denominator of -69\/4 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/33712 and 15\/38528.\nAnswer: 269696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.9406716 - -0.0591764. Let f = 32 - p. Round f to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 34*k**2 + 1925*k - 2853. Determine i(29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2\/(-6))\/(2 + ((-60)\/(-6) - 7))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209798074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-4)\/4*-7*-1. What is the lowest common multiple of ((-48)\/14)\/c - 232\/(-14) and 58?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:33 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.345 - 1.085. Let k = 0.2 + -0.3. Do f and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8820 and 1764.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = -26*v - 3*v. Let h be -5 + 1 + (-18 - v). Factor -2\/3*j**4 + h + 0*j - 6*j**2 - 4*j**3.\nAnswer: -2*j**2*(j + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55\/3*c**2 - 5\/3*c**3 + 0 - 30*c = 0. What is c?\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.977 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666642 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 - 3*k**2 + 7*k - 8. Let h be p(3). Let q = -102 + h. Calculate the remainder when 93 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 69 = -151. Let w(v) = 2*v**2 - 10*v + 17. What is the remainder when j is divided by w(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnq when three letters picked without replacement from {l: 1, n: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/60 - h**5\/30 - 97*h**4\/24 - 2413*h**3\/6 + 4*h**2 + h - 25. What is the first derivative of r(x) wrt x?\nAnswer: 6*x**2 - 4*x - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -2\/3*z**3 + 49*z**2 - 2*z - 1\/12*z**4 + 0 + 1\/15*z**5 + 1\/60*z**6. Determine j so that c(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28508319 a multiple of 3037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*p + 15*p**6 - 5*p**6 - p**2 - 4*p**3 - 14*p wrt p.\nAnswer: 1200*p**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.55730309.\nAnswer: -0.55730309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -38*u. Let w be k(-1). Suppose -6*z + z = -25. Suppose z*s + n = 2*n + w, 20 = 2*s + 2*n. What is the lowest common multiple of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79.073269*4\nAnswer: 316.293076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/3)\/l*l**6*l**9*l*l*l**(-11) assuming l is positive.\nAnswer: l**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/(-153) - (-3)\/((-27)\/(-380)). Factor -c*y - 24*y**2 - 12 - 14*y**3 + 15*y + 6*y**2 + 11*y**3.\nAnswer: -3*(y + 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1. Suppose -9*v = 5*x - 6*v + 705, -561 = 4*x + 3*v. Let s be ((-48)\/x)\/((-2)\/6). Let z(j) = -7*j. Calculate s*z(g) + 2*y(g).\nAnswer: 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115 and 3903497.\nAnswer: 448902155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 5:28 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8*2*(-482)\/5. Let l = m + -144. Let j be 4\/5 - (-2)\/(-3). What is the smallest value in l, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeuuq. Give prob of sequence ueuq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f - 1 - 1 - 3 + 6. Let z(t) = -6*t**3 + 5*t + 6. Let o(y) = y**2 + 6*y - 6. Let b be o(-7). Let s be b\/3 + (-48)\/9. Give s*n(j) + z(j).\nAnswer: -j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-18)*(-8)\/(-20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13290 = 242*k - 77759 - 113441. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 + 8*m + 23. Let v be f(10). Suppose -v*x - 5 = -4*a, -1 = -3*x + a + 9. Solve -5*r + l = x*l + 7, -l - 7 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/343 - 8212\/1715. Let j = w + 74\/15. Let o = -8 - -11. Which is the second biggest value? (a) o (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33817552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4352530 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 21. Let d be -3 + u + (-4)\/8. Suppose -1\/2*i**4 + i**3 - d - 1\/2*i - 1\/2*i**5 + i**2 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46587 and 2414613?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 61. Let j(t) = 297*t**2 - 9*t + 1. Is j(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6 + 30\/(-405)*-9. Sort 37, r, -5 in ascending order.\nAnswer: -5, r, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 - -11100?\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-15)*(114\/4)\/19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klzayaa. What is prob of sequence yl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/11 - 4*b**3\/11 - 1928*b**2\/11 + 7696*b\/11 - 7680\/11 = 0.\nAnswer: -32, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - (51 - 176 - -51)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 45 = -5*q, -783*s + 3 = -786*s - 5*q for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6552000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(((-264)\/(-24))\/(-55))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 4:58 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, j: 3, b: 7, c: 4, o: 1, f: 1}. Give prob of picking 2 a, 1 b, and 1 j.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 38 = j, 4*f - 90 = 5*j - 7*j. Suppose j - 5 = s. What is the remainder when 112 is divided by s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, k: 5, c: 5}. Give prob of picking 1 y and 3 k.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20960263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 3*h**2. Suppose 8*t = -2 - 22. Give y(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57299708 - -57300205.00287. Let t = f - 497. What is t rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 - -172. Let i be ((-9)\/(-5))\/(12\/n). Solve 2*p + m + 9 = 0, m + 16 = -4*p - i*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfwy when four letters picked without replacement from {b: 2, l: 3, k: 1, f: 2, w: 2, y: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y - 6. Let v be p(-3). Suppose -d + 6 = -v. Suppose 3*x + 5*m - 20 = d, 4*x - 94 = 5*m. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2361 + 2988.4. What is b rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 7535613 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290 + 2732*k**2 + 423 - 89 + 115 + 2*k + 2161*k**2 wrt k?\nAnswer: 9786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k**2 - 110*k. Calculate l(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/2, 0.3, 0.2, -3\/34, 209 in descending order.\nAnswer: 209, 1\/2, 0.3, 0.2, -3\/34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 679?\nAnswer: 47.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14*9*(0 + -1 + 2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00647 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/8)\/((-1)\/4). Let w be 1 + i + -6 + -1. Is (-144)\/(-27) - 2\/w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6738, -6657, -6520, -6327, -6078, -5773, -5412?\nAnswer: -4995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, v: 4, w: 4, q: 4, x: 2, c: 1}. What is prob of sequence lqwl?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/429 or 0?\nAnswer: -2\/429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31087740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 109*r**2 - 7*r - 12. Is 12 a factor of i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 37, 85, 153, 241, 349, 477?\n\"Answer: 10*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 9:42 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -326 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 255, 193, 57, -183, -557, -1095, -1827, -2783?\n\"Answer: -5*c**3 - 7*c**2 - 6*c + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9776605.\nAnswer: 5, 811, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -58913313\nAnswer: 1\/19637771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/(j\/(((j*(j*j*j*j**3*j*j)\/j)\/j)\/j)))**(17\/2) assuming j is positive.\nAnswer: j**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*n = 1905 + 3474, 4*n + 13490 = 5*u. Calculate the remainder when u is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-265723)\/(-8) + 120\/192?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 24*v + 28*v, 2*w - 3*v = 0. Solve 5*y + 2*n - 6 = 6*n, -4*n + 4 = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 4*b**3\/3 + b**2\/2 - b - 6. Calculate the least common multiple of n(1) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + v - 5. What is the remainder when q(5) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**9\/15120 - t**6\/180 - t**5\/30 - 2*t**2. Let l(n) be the third derivative of p(n). What is the derivative of l(y) wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/((-6525)\/116)*42\/4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 2*a - 2 = 32*k, -4*k + 5*a - 5 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*k**6 - 8*k**3*m**3 - 3*k**2*m**3 - 382*k*m**3 wrt k?\nAnswer: -8520*k**3 - 48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbooboboobooobbo. Give prob of sequence booo.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 3*k**5\/5 + 7*k**4\/2 + k**2\/2 - 898*k - 149. What is the second derivative of q(m) wrt m?\nAnswer: 36*m**2 + 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o = 249 - 481 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3 (b) -5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21942 and 3726.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 2*a**3 - 3*a**3)*(-a + 3*a + 0*a) + (-3 + 6 - 2)*(-2*a**4 + 2*a**4 - a**4) - 8*a**4 - 24*a**4 + 4*a**4.\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1. Let l(w) be the second derivative of -w**3\/6 + 5*w**2 - 19*w - 1. Calculate -l(c) - 4*x(c).\nAnswer: c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.453624238 + 41.\nAnswer: 40.546375762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.07, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/926 and ((-82)\/861)\/((-1)\/(-87) + 0)?\nAnswer: 6482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -11. Let y be 1*20\/70 - (-74)\/(-14). Sort m, y, 2 in increasing order.\nAnswer: y, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2758073, -5516135, -8274183, -11032217?\n\"Answer: 7*h**2 - 2758083*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*q - 1219 = -411. What is the remainder when 2870 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 - 187. Calculate the highest common divisor of z and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13510994.\nAnswer: 2, 7, 37, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1538571.19 to the nearest one hundred.\nAnswer: 1538600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*q - 92, -4*q - 3*h = -0*h - 163. Let b = -15 + q. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l + 8. Let x be w(7). Let f = 43 + x. Let y = f + 18. Solve 2*h - 4*j = y, 4 = 2*h - 2*j - j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 57972.4kg?\nAnswer: 57.9724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708646.2m in nanometers?\nAnswer: 708646200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:29 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 1204 = 7*b. Suppose 5*s = r - 2*r + 86, 2*s = -2*r + b. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - ((-1 - 4) + -22 + 26)) + 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -17*k + 0*k**4 + 0*k**3 + 0*k**2 + 7\/5*k**5 - 11. Differentiate a(r) with respect to r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let a be (-6 - (-37 + 11))*(6 - 0). Let b(w) = w**2 + 2*w + 8. Let n be b(7). Let i(c) = 90*c - a*c + n*c. Give i(z(k)).\nAnswer: -41*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2 - 2*a - 4. Calculate the least common multiple of 7 and o(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = 2. Let z be (478\/8)\/(10\/(-8)). Let s = 48 + z. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) 0 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27862?\nAnswer: 2, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0651916*-0.014.\nAnswer: 0.0009126824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * -1.72787.\nAnswer: -58.74758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2396009 to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 27650?\nAnswer: 55300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0838 + 0.0838. What is the nearest to -0.2 in 1, -2.2, u, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4213526913596.48 + -4.\nAnswer: 4213526913592.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87 - 5?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(sqrt(3) - sqrt(15)\/sqrt(5)) - sqrt(3)) - sqrt(33)\/(-4*sqrt(33)\/sqrt(3)).\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10350 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -329, -495?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1320, -2759, -5156, -8499, -12776, -17975, -24084, -31091?\nAnswer: -38984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17069.766 months to centuries.\nAnswer: 14.224805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12) + 1)*(-80)\/100.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 17*y = 508. Let d be (2\/12*-1)\/((-1)\/y). Let z = d - -42. Which is the closest to z? (a) -0.4 (b) 11\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:33 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -10 - -23) + (-7 - -1 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8194 + -8193. Which is smaller: w or 94\/357?\nAnswer: 94\/357","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = -0*y, 0 = -5*q + 4*y - 11. Let r = 130\/3 - 43. Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {a: 1, t: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*7\/((-84)\/40). Suppose 2*c + 0*c = z. Factor 2*d - 2 + 6 + d + 4*d**2 + c*d.\nAnswer: 4*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 2:10 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwaswwlsla. Give prob of sequence alws.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1800.78587 + 1716.7853. Let u = -84 - w. What is u rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:13 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10)*-10)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1068 - 322 = -l, t + l = 373. List the prime factors of t.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -48*x**5 - 196*x**4 + 3852*x**3 - 8688*x**2 - 1360*x + 11328 = 0.\nAnswer: -12, -1, 2, 59\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-14)*-17*(-168)\/(-816)*-3.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:31 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/6)*k*k*k*k\/(k*k**31)*k\/(k\/(k\/(k**(3\/5)\/k)))*(k**(2\/11)\/k)\/k*k assuming k is positive.\nAnswer: k**(-8993\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1372 or -1381?\nAnswer: -1372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - (4 - (6 + -11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + (-1 - (2 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfffffg. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, 5, -3, -8, 223 in increasing order.\nAnswer: -8, -3, 4, 5, 15, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 2) + -5 - (-2 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 9. Let z be n(-4). Suppose -10*b = -z - 179. Calculate the least common multiple of 18 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -4*r**4\/3 - 288*r. Let c(k) be the second derivative of 0 + k + 0*k**2 + 1\/3*k**3. Determine n(c(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*15\/(-12) + (-5642)\/3472.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let i(m) = -10*m. Let f(p) = -11*p. Let d(q) = 5*f(q) - 6*i(q). Give d(x(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -89282500 rounded to the nearest one million?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2493441 (base 10) to base 2\nAnswer: -1001100000110000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 c when three letters picked without replacement from dlgcc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from {p: 1, t: 2, a: 2, b: 1, y: 1, j: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81452430 and 27795?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.487 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v = -51*v - 153. Suppose -v*w = 162 - 144. Sort w, 4, 3, -3 in decreasing order.\nAnswer: 4, 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.88 - -20. Let z = m - -0.58. Let k = z + -1.699925. Round k to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-c**2 - 12*c**2 + c**2)*(-117 - 137 + 283).\nAnswer: 348*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129128 - 65851. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -89. Suppose -k = -h - 9. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a hour?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 499337052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6445*c**3*q**3 - 52*c**2*q**3 + 6*c*q**2 - 23*q**3 wrt c?\nAnswer: 38670*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u - 42*u = 192. Is u not equal to 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 5*t - 3. Let i be -2 - 12\/(-4 - 0). Let p = -4 + i. Let q = p + -2. Give w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1540\/63)\/(-20))\/(18\/(-486))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70\/(-175))\/((-24)\/(-15)))\/((-4)\/416)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.32, -27, -2\/9, -2\/5, 0.5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -250037b?\nAnswer: -250037c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124 - 68. Find the first derivative of i*g - 2*g**2 + 17 + 4*g**2 - 95 - 21*g wrt g.\nAnswer: 4*g + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + -3.4. Let z = 250\/7 + -256\/7. Let w = z - -5\/14. Which is the third smallest value? (a) w (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9551 - -113451.\nAnswer: 103900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5264 divided by -8?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0*q**2 + 0 - 1\/18*q**4 - 2\/9*q**3 + 1\/30*q**5 - 2*q. Factor b(z).\nAnswer: 2*z*(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g**2 + 0*g**2 - 2*g**2. Let n(f) = -6 + 6 + 3*f + 0. What is n(c(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, t: 2, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/40 - k**4\/8 + 2*k**3\/3 - 8*k**2. Let g(u) be the first derivative of d(u). Determine g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 + 206.644. Let f = u + 0.156. Which is the nearest to f? (a) 2 (b) -0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 127*g**3*n*u**2 + 73075*g**3 + 89*g**2*u**2 - 3*g**2*u + g**2 - g*u**2 + 69562*n*u**2 wrt n?\nAnswer: 127*g**3*u**2 + 69562*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-6)\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 - (7 + 13) - (-2 + 12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -477193837*b - 173414745 wrt b.\nAnswer: -477193837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5\/2, 5, -3\/1837 in decreasing order.\nAnswer: 5, 5\/2, -3\/1837, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in 4, 48\/65, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrgg. What is prob of picking 1 r and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96056289?\nAnswer: 3, 7, 1524703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19023 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/(-6) - (74 - (18 + 66)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 174180378 a multiple of 7903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 10:57 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-119)\/21*72\/(-1). Let z = -223 + m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/113 - 442\/565. Let d be (-1)\/5 + (-19)\/(-20). Put -1, y, d in decreasing order.\nAnswer: d, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.83, 4, -1354, 2\/7?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 2*p + 1. Let d be x(1). Suppose -3*i + 0*i = d*i. Suppose 4*y + 20 = i, -4*g = g - 5*y - 4620. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 27*d**2 + 11*d + 889. Give j(25).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - y)*((3 - 3 - 2*y)*(0 + 0 - 8*y + (-1 + 3 - 3)*(0*y + 0*y - 3*y)) + (-5 + 5 - y)*(6*y - 2*y - 2*y)).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgtyetvytvttyyt. Give prob of sequence tvg.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -39. Suppose 8 = 2*s - 0. What is the highest common factor of s and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74930, 74939, 74962, 75005, 75074, 75175?\nAnswer: 75314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k = -5*r + 15, k - r - 4 = 0. Let n(z) = 4*z + 5. Let y be n(k). Solve -2*d + y = -7*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31568 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -706, -783, -894, -1027, -1170, -1311, -1438?\n\"Answer: 2*r**3 - 29*r**2 - 4*r - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 35*l**2 - 11*l - 11. Let k(y) = 7*y**2 - 2*y - 2. Suppose 0 = 38*i - 23 - 395. Calculate i*k(t) - 2*p(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 9*a - 12. Let d be s(-10). Let l be (2 + d + 0)\/2. Suppose -3*w + 6 + 3 = l. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 6*h - 5. Let y be u(3). Suppose y*v + 3*s - 98 = 62, 5*v + 5*s = 205. Let g = v - 30. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, 2, 8, 2\/11, 5, 6\/7, 1.8 in ascending order.\nAnswer: -0.28, 2\/11, 6\/7, 1.8, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2*j - 25 - 4, 0 = 4*b + 2*j - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.84076 litres to millilitres.\nAnswer: 87840.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*i = -79, -4*i + 14 - 6 = 0. Let p = 61 + -67. Let f be p\/o - (-54)\/10. Which is smaller: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -7.51993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11599 - -12361.1. Put q, -0.5, 3 in increasing order.\nAnswer: -0.5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361566 is divided by 744.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179 - 183. List the prime factors of 0 + 232\/((-8)\/y).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 - 438 - 681 + 1119.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 124925 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5656593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62825970 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5015 is divided by 251.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22148 + 22148.0099655. Let n = 0.01 - b. What is n rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 9*m + 0*m in the form u*m + f and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + (-53 - -55).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05804163888 rounded to 5 dps?\nAnswer: 0.05804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71282660 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*311 + (-1)\/1 + 1 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 {w: 8, p: 6, b: 1, z: 3}. Give prob of sequence wp.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let c(h) = -h. Let l(s) = -3*c(s) - v(s). What is l(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 - 12. Let a be s(5). Suppose -5*q - a = -3*i, 28 = 4*i + 2*q + 2*q. What is the lowest common multiple of i and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34543064 - -7?\nAnswer: 34543072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.1 and 460.\nAnswer: 456.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 20*v**2 - 314*v + 34. Calculate d(13).\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (35\/(-21))\/(205\/(-1812159)). Is 14734 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Suppose s + 15 - 16 = 0. Let k(h) = -9*h - 6. Give s*k(p) - 6*m(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 36*q**2 - 74*q - 51. Let z be o(38). Suppose 0 = -x + 5*i - 7*i + 20, 5*i = z. Solve -7*j + x = -11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a*a**(1\/5)))\/(a*((a*a\/(a**(-5)\/a))\/a)\/a))**(-4\/9) assuming a is positive.\nAnswer: a**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 210 + -208. Differentiate 90*k**2 + 194 - 2*k + k - 12*k**2 + 6 + 13*k**z with respect to k.\nAnswer: 182*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = -3*d + 2*d, 4*d = 2*q - 24. Suppose -q*r + 0*r = -712. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**17\/(b**6\/b)*(b**(8\/5)*b)**45 assuming b is positive.\nAnswer: b**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 40?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55618, -223105, -502256, -893071?\nAnswer: -1395550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**3 + 6*q + 4. Let i be f(6). Suppose 211 + i = 7*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2*-11*9\/(-99). Which is the smallest value? (a) 2 (b) v (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 + -1 - -1. Suppose -c - 6 = -20. Suppose -5*f + a + 15 = 0, 0 = 3*f + 4*a - 13 + 4. Solve -2*k + 3 + n = 2*r, -f*k - c = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27272 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 26. Let x be (-14)\/(-10) + 2*w\/30. Solve -2*n = z - 4, -2*z + 9 = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 3*h - 4. Suppose 0 = 4*l - 11 - 5. Suppose -l*m + 0*z + 2*z + 10 = 0, 1 = -2*m - 5*z. Suppose -7 = r + 5*d, -r = 3*d + m + 1. What is a(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423440020121 + 4?\nAnswer: 423440020130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1108479, -1108489, -1108499, -1108509?\n\"Answer: -10*q - 1108469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72342*l**2 + 44012*l**2 - 32236*l**2.\nAnswer: 84118*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 5 - 2*u**3 - 1 + 2*u**2 + 7 - u**2 in the form d*u + t*u**3 + r + p*u**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 - -3.399212. What is h rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4223306 is divided by 469255?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2676473165 rounded to three decimal places?\nAnswer: -0.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -5 (c) 2 (d) 765 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 - 96*h\/5 - 2304\/5.\nAnswer: -(h + 48)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13787343?\nAnswer: 3, 31, 49417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0*s**2 + 17*s + 0*s**6 + 0*s**3 - 17\/56*s**8 + 0 + 0*s**5 - 11\/6*s**4 + 0*s**7. What is the third derivative of y(p) wrt p?\nAnswer: -2040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6) + (-2)\/4. Let u(x) = x - 1. Let i(y) = 6*y - 7. Let b(s) = w*i(s) + 4*u(s). Let n be b(4). Are n and -5 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -57 (b) -0.07 (c) -32 (d) -5 (e) -4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/9161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40700 is divided by 13562?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -0.3. Let i = -17411 + 17397. What is the biggest value in -3, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/7 (c) 0.6 (d) 67 (e) -631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -108172\/199 at least as big as -543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 191580.19 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1219 and 1587.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/252 + 5*s**6\/16 - 11*s**5\/12 - 115*s**4\/12 - 37*s**2 - 2. Let r(t) be the second derivative of b(t). Factor r(m).\nAnswer: -5*(m - 22)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21.59 (b) 0.5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1681\/5, -5, -2\/3, 0.01, -18 in decreasing order.\nAnswer: 1681\/5, 2, 0.01, -2\/3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3 - 52\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 11*a + 48. Let v be g(14). Let l be (2 - (0 - -3))*(-5 + v). Let n(b) = -b**2 - 6*b - 4. Let s be n(-6). Put s, l, 2 in ascending order.\nAnswer: s, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 7*h**2 + 58*h - 354. What is g(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-143)\/715*(0 + 1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.2\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z**2 - z + 1862. Let k be f(0). What is the highest common factor of 98 and k?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 566 - 538 = 0. Solve -p + 8 = -3*i, -3*i + 6*i = 4*p + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 18. Suppose -208 - 1517 = -25*t. Calculate the remainder when t is divided by o(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 2. Suppose -v + 210 = 5*h, -22 = -t*h + v + 178. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) -3 (b) 2\/3 (c) 0.3 (d) 4 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 202 - 199 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-212 - -1) + (-270 - -380)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 - 2*a - 3. Let u be y(-5). Suppose u + 0 = -v. Let f(r) = -r**3 - 6*r**2 + 9*r + 10. Let w be f(v). Do w and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3267 and 169\/90.\nAnswer: 32670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 54 = 96. Calculate the remainder when 59 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 91 = -4*g, -2*g - 3*s + 389737 - 389788 = 0 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85920 and 29040?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*h + 25492 + 29348 + 852 = 0 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*c**2 - 639*c**2 - 646*c**2 + 1944*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 2464?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*l, 4*l = 5*j - 38 + 64 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 8 = 2*n, -4*n + 6*n + 11*b - 6*b + 11 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -d - 1, -u - 31*d = -29*d + 2. Solve 5*o + 2*n = 29, u*o + 3*n = o + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 83*w + 4918. Let k be a(40). Let j = -2 + -1. Sort k, -1, 0, j in ascending order.\nAnswer: j, k, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1325 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 2 + 2)*(2 - 2*i - 2) + 1 - 1 + i - i - 3 + 3 + (4 + 0 - 6)*(0*i + i - 3*i) + 1 + 3*i - 1)*(20*i + 21*i + 10*i) as n*i**2 + w*i + q and give n.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 171 - 141. Solve 11*z = z + c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232861.\nAnswer: 7, 176123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34720 + -1054?\nAnswer: -35774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 - d**2 + d - 1. Let z be s(1). Let g be (-20)\/(-6) + z\/(-12). Solve 3*m - 2*a + 31 = -6*a, 5*m = -g*a - 37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 361, 355, 347, 337, 325, 311?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = 2*o - 4*a, 2*a + 12 = 3*o. Let f be (o - 1)*3\/(9\/(-6)). Let j be ((-8)\/f)\/((-8)\/60). Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 74\/3*(-6)\/(-4). Suppose 2*x + d = 55, 5*x = d + 118 + s. Suppose 3*c - 21 = -3*r, -c - 304 + 309 = 0. Calculate the least common multiple of x and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2645*r - 108430. Determine t(41).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.10967\nAnswer: -0.00967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.3. Let d = 760.6 + -128.6. Let i = d - 630. What is the third smallest value in -15, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1979149729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149696673 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y**2 + 3*y**3 - 8*y**3 + y**2 - 5*y**4 + 5*y**5 - 2*y**2 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37040 divided by -5?\nAnswer: -7408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(245))*-1 - (3 + sqrt(245) + 1))**2 + 0.\nAnswer: 84*sqrt(5) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 295, 443?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. What is the third derivative of 32*s**2 - 26*s**2 - f*s**3 - 7*s**3 wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 340\/7. Let q be 258\/(-1032) + (-23)\/(-28). Solve 8\/7*l**3 - s*l**4 - q*l**2 + 0*l + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*x - 18, -3*x - 5*f + 28 - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:41 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -3. Let g = -265 - -198.2. Let f = 67 + g. Which is the nearest to -1? (a) o (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 66\/(-96)*-6*8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 1, a: 2, w: 1, q: 1, r: 1}. Give prob of sequence wqr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -0.5, 7, 604, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275390 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n + 213 = -31*n. Let z = -211 + n. Solve 0 = 6*h - 4*h + z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 3, b: 5}. Give prob of picking 1 u and 1 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502763987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:27 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -239.1 + 239. Let n = 20.45 - -17.55. Which is the nearest to u? (a) -0.4 (b) 3\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa9 - -4a85?\nAnswer: 2a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - o + 16 - 7, o = 5. Let a be (20\/15)\/(z\/(-24)). Suppose 5*f + a = 4*t, -2*t = -3*f - 3 - 5. Calculate the greatest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 0*b**2 + b**2 - 3*b**2)*(-85*b - 42*b - 14*b) to the form u*b + f*b**2 + o*b**3 + x and give o.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:43 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/29))**(-2\/45)*(((l**(5\/6)*l)\/l)\/l)\/(l*l\/(l\/(l\/(l**(-45)\/l))*l)) assuming l is positive.\nAnswer: l**(-41071\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 88 - 152 = 0. Let c = 166 + -302. Let q = g - c. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2*s**3 - 1468*h**2*s**2 - 10*h**2*s + 5*h**2 + 6027899*h*s**5 + s**2 wrt s?\nAnswer: 12*h**2 + 361673940*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2*1\/7 + 178560\/280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5025*u + 546 = -4999*u + 9946*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 212 = m - 21, 0 = -2*h - 3*m + 167. What is the greatest common factor of 2774 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - 39*r**2 - 16*r + 67. Let l be o(10). Solve -23*s + l = 214 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/16*3 + 1. What is the second smallest value in m, 11, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/3 + 502*h + 15160\/3 = 0. Calculate h.\nAnswer: -10, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*14\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 5*t - 1. Let x(g) = g - 3. Let c be x(7). Let l be o(c). Let u = 20 - 20. What is the closest to u in -3\/7, l, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1964.50108 to 1 decimal place.\nAnswer: -1964.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4460669?\nAnswer: 83, 223, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(7\/14*4). Which is the nearest to 7? (a) x (b) -1\/3 (c) 4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 3*f**2 - 2*f**2 + 57 + 5*f**2 + 6*f**2.\nAnswer: 2*f**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6) + (0 - -1). Let r be (63 - -1 - 0)*(-14)\/(-28). Let v = r + -32. Is i < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.3. Let q = 0.03 - -0.27. What is the closest to 2 in q, -2, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37566281 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -928, -3746, -8186, -14248, -21932, -31238, -42166?\nAnswer: -54716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, g: 3, o: 1, w: 2, p: 2}. Give prob of picking 1 w and 1 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(-3*m - m + 5*m) - 2 + 2 - 2*m - 100*m + 38 - 38)*(0 + 1 - 4).\nAnswer: 312*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 657678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 72 = 76. Suppose -r*n + 4*o = -0*n - 1404, 2*n + 3*o = 1376. What are the prime factors of n?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmm when three letters picked without replacement from {b: 1, m: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543267 divided by 60363.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*k + 0)*(2 - 4 + 0)*(-2*k - 6*k + 0*k).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74224564 - -5?\nAnswer: -74224559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g. Let h(d) be the second derivative of 3*d + 1\/24*d**5 + 0*d**2 + 0*d**4 + 0 + 2\/3*d**3. Let n(j) be the second derivative of h(j). Give c(n(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 102 - 50 + 3*l - 3*l**2 in the form r*l + f*l**2 + t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70 + -12?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 470670, 941341, 1412012, 1882683?\nAnswer: 2353354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2619? (a) -5 (b) -3 (c) -2\/5 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 15*j**2 + 36*j - 30. What is b(-6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from vvtrtttrttrvtvvt?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 6 - -27)*1. Let w = o + -25. Suppose -5*u - 26 = 2*g - w*g, g = -3*u + 15. Calculate the remainder when 11 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 + 236208*n + 3487138704 = 0. What is n?\nAnswer: -29526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -n + 4, -3*w = -3*n + 2 - 14. Suppose 0 = -5*f - w*s + 70, 10 = 4*s - 10. What is the least common multiple of 16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.23 or 7150\/1427?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 1, u: 1, j: 2}. What is prob of sequence ujm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 - -0.24. Let s = 569 - 587. Let j be -13 - (-833)\/63 - 86\/s. Sort j, 1\/9, w, 3\/5.\nAnswer: 1\/9, w, 3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(57) + sqrt(57)*-1)*6 - sqrt(57))*-3)\/(1*sqrt(48) - sqrt(33)\/(1*sqrt(11))))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41315441.1 rounded to the nearest 100000?\nAnswer: 41300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 23*v**2 + 28 + 19*v**2 + 30*v**2 + 2*v**3 + 7*v + 4*v - 62*v**2. Calculate t(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17 - 2 = 0. Suppose s*x + 4 = 14. Solve -x*n - 5 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12 - 8) + -9 - -7) + -8 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, d: 2, i: 3, p: 1}. What is prob of sequence did?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 932046391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(28\/(-8) + 4). Solve -u + 5*f + 27 = z, 3*u = 4*f - 20 + 46 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 9, -92 in ascending order.\nAnswer: -92, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/55 or 0.04?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 302018, 301780, 301564, 301376, 301222, 301108, 301040, 301024?\n\"Answer: o**3 + 5*o**2 - 260*o + 302272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.5 (c) 0.2 (d) -1 (e) 15 (f) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 193102.\nAnswer: 1\/96551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1737 + -1741. Sort 2\/7, -7, -2\/5, v in decreasing order.\nAnswer: 2\/7, -2\/5, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, 0, 37, 98, 189, 316?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 0.5 (c) 0.4 (d) 0.19 (e) 1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**3*i**3*k**3 - f**3*i**3*k**2 - 981*f**3*i*k**3 + 2*f**3*k**2 - 2*f**2*k**2 + 2*f*i**3 - 3874*f*i*k**2 wrt k?\nAnswer: -60*f**3*i**3 - 5886*f**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24409 + 11821 = 4*d + 2*l, -d - 2*l = -9050. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:28 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*w + 18763 = 0, 5*w = -i - 7829 - 10898. Let n = 47 + i. What is n rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + (-27 - (-1 - 27)) - -14\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 29 = 5*y, 5*l + 0*l - 20 = -3*y. Suppose 3*p - 22 = -k, 0*k - k - 2 = -y*p. Let o = -4 + 9. What is the remainder when k is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95578 (base 11) to base 4.\nAnswer: 201331222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 981840 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11462598 divided by -65877?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.31 + -7.21. Put 185\/7, f, 0.4 in ascending order.\nAnswer: f, 0.4, 185\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = -23*f + 28*f, 0 = 4*f + 20. Sort -3, s, 3 in decreasing order.\nAnswer: 3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2. Let w(a) = -60*a + 60*a + 2*a**2. Calculate w(x(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1883192.873 + -0.4.\nAnswer: -1883193.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/3 - 1*(2 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 11*o**2 - o - 8. Let i be u(-11). Solve -3*n - 10 = -x, i*x + 8 = -5*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -4345?\nAnswer: -4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 7*l - 4. Calculate the remainder when 101 is divided by d(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -5188.\nAnswer: -5187.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 3*j**3\/2 - 13*j**2\/2 - j + 35. Let c be g(2). Let q be 2\/11 - 8\/44. Solve -20 = c*b - q*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*g - 4*j - 24, 4*j - 8 = -5*g. Suppose -i = -2*f + 140, g*i = 5*f - 379 + 29. Calculate the greatest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 4)\/(2\/(-10)). Sort -0.1, 6, t.\nAnswer: t, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 4938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 5*q)*(-2*q**2 - q**2 + 4*q**2)*(-9 + 8 + 14)*(-2*q + 3*q - 4*q).\nAnswer: 78*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m = -63*m + 88 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5894*l*t**2 - 3*l*t + l - 22*t**2 - 7503*t wrt t.\nAnswer: -11788*l - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.48 + -0.18. Let u = 2195 + -2194.5. Which is the fourth smallest value? (a) 2\/7 (b) u (c) 2\/13 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (101\/2)\/((-3)\/(-6)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142879 is divided by 5100.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 8 + 8)*(4*r**2 + 5*r**2 - 6*r**2) + r**4 - 5*r**4 + r**4 + (-1 - 3 + 1)*(2*r**3 - 2*r**4 - 2*r**3).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 25 = -5*s + 3*d, 2*s - 10 = -d. Sort -1, s, 3, 1.\nAnswer: -1, 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 - -1.7. Let w = t + -2.18. Let x = 0.4 + -0.2. Sort w, 2\/5, x in increasing order.\nAnswer: w, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2052)*2)\/(-3*sqrt(36)\/(sqrt(12) + sqrt(12) + sqrt(24)\/sqrt(2))))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51\/(-408)*(-2)\/(-1 + 2). Let g be 3 - (270\/(-8))\/(-9). Which is the second biggest value? (a) 4 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819275817 to the power of 1\/4, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(931) + -3)**2 - sqrt(931)) - (-4*(sqrt(931) + 1) + sqrt(931) + sqrt(931)).\nAnswer: -35*sqrt(19) + 949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*o + 38*o = -95*o - 2025 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a = 3*t - 34613, 3*a - 103829 = -4*t. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2)*2\/(-4). Let t be 2*((-9)\/(-6) + p). Let h = t + -3. Solve f + f = h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6) - 40\/(-20)*51\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let g be (-58)\/p + 6\/3. Let r be (0 - 3) + -61 + 67. Solve -d + 5*b = r*d - g, 5*d - 11 = -3*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6250301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -2)*16\/8. Suppose m = c + 1. What is the smallest common multiple of 33\/(-2)*44\/(-66) and m?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 4:50 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13896 = -124*i + 127*i. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220.7321 + -219.82. Let s = 0.1451 - b. Let v = s - -0.7670337. Round v to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(170) + sqrt(170)*-2) + sqrt(170) + (sqrt(170) + sqrt(170)*1 + sqrt(170))*-5)\/((sqrt(810) - -4*sqrt(810) - sqrt(810))*4).\nAnswer: -17*sqrt(17)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/4 - 4)*-28 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4173*v - 1172594. What is z(-281)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 15*a - 36. Is (-290)\/2*-2*(-3)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166719 - -6.19051?\nAnswer: -166712.80949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 12. Suppose -v + 2 = 2*o. Which is smaller: o or -4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3 + 5 + 343*u - 2 - 3 - 340*u. Calculate q(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86593, 86578, 86563?\n\"Answer: -15*h + 86608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 2369*m**6\/60 + 69*m**5\/20 + 69*m**4\/8 - 544*m**2 - 2*m. Let w(y) = -46*y**3 - 2*y**2 - 2*y. Give 2*a(x) + 207*w(x).\nAnswer: -46*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(27 - 21 + 20)*(12 + 11*s - 12)*(0 + 5 + 2).\nAnswer: 4004*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3244.6 - -3244. Let z be (2\/(-420))\/((-8)\/830). Let q = 5\/24 - z. Is q >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 407 = 168. What is the remainder when 498 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.5 + 17. Let l = 0.5 - w. What is the smallest value in l, -2\/7, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/14 and -43\/12730.\nAnswer: 89110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwpp when four letters picked without replacement from wpwppwwpwpww.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(216) + sqrt(216))*2*-3)\/(sqrt(972) + sqrt(972)*-4*-6).\nAnswer: 2*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let q be ((-1 - -11)\/1)\/(10\/5). Find the second derivative of -5*y**q + 8*y**g + y - 8*y**4 wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13*v**2 - 2. Let q(g) = -209*g**2 - 33. Let y = -60 + 27. Let t(s) = y*l(s) + 2*q(s). Let u(k) be the first derivative of k**2 + 2. Give t(u(o)).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-11)\/(-22)). Let x be -1*(-2 + (d - -1)). Suppose 0*w = w + 3*u + 13, -2*w - x*u = 6. Calculate the smallest common multiple of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2034 (base 6) to base 5\nAnswer: -3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -327*b**4 - 1171 - 757*b**4 - 462*b**4 - 270578*b**2 + 270578*b**2 wrt b.\nAnswer: -6184*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*(-220)\/154?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 944, 1496, 2988, 5888, 10664, 17784, 27716, 40928?\nAnswer: 57888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1771 - 1457. Calculate the smallest common multiple of 3454 and v.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 18*u**2 - 601*u + 214. Give b(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 6*u - 3. Let y be n(-4). Let o = 17 + -13. Solve 3*g - y*v - 23 = 4*g, -3*v = o*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 29 in descending order.\nAnswer: 29, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-306*l - 221*l + 30*l)*(6*l**3 + 0*l**3 - 2*l**3) to the form p*l**2 + q*l + b*l**4 + c + z*l**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d - 245. Let w(l) = 7*l + 163. Give -5*n(o) - 7*w(o).\nAnswer: o + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 3*s**2 - 4*s**2 + (0 - s**2 + 0)*(-2 + 3 + 4) - 4*s + 8*s**2 - 2 + 15*s**2 + 6*s as m*s + h + j*s**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -367\/81 + 75017\/17415. Find the common denominator of n and -93\/344.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1889.00663 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-19)*l*(l\/(l**(-1)\/l)*l)\/l*l assuming l is positive.\nAnswer: l**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1608 divide 26159090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 3300?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2712148 is divided by 694.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 - s**4\/12 - s**3\/6 + 12*s**2. Let x(d) = 2*d**2 + 4*d + 2. Give 5*h(i) + 2*x(i).\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5 - 6*f + f**3 - 62*f**2 + 5*f + 65*f**2. Suppose -6*l - 20 = -l. Let i be x(l). Let z(q) = -q - 9. Calculate z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3604295, 3604293, 3604291, 3604289?\nAnswer: 3604287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 is divided by 310.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.52554 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (39 - 31 - -25).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c - z + 5*z, -4*c + 28 = -4*z. What is the tens digit of (-2 - -3) + (c - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 0 + 1)\/(83 + -84). Let k = 0 - 0.1. What is the nearest to 0.1 in 0.4, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*y**3 + 60*y**4 - 5*y + 92*y**3 + 7*y + 1 to the form k*y + s*y**3 + j*y**4 + f + d*y**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 10. Suppose 3*v - 5*w - 22 = 4*v, -3*w = -v + 18. Let g(b) = -3 - v - 3 + 6. Calculate -7*g(s) - 2*x(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*c**2 - 29*c**2 + 124*c**2 + 38*c**2)*(c + 0*c + 2*c) to h + z*c + t*c**2 + f*c**3 and give f.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Let x = -384272 + 384192. Which is the nearest to 0.4? (a) x (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749 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: Simplify (-2 + -2 + sqrt(425) + (-2 + sqrt(2448))*-6)**2.\nAnswer: -1072*sqrt(17) + 76377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = -2*h + 26, 3*h = -j - 1. Solve 2*x = 5 + h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**(-23)\/(v*v*v**(4\/5)*(v*v**(-1\/2))\/v))**(-3) assuming v is positive.\nAnswer: v**(1449\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (2502\/(-8) + -2). Let v = t + -319. What is the common denominator of v and -31\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028127486 rounded to seven dps?\nAnswer: -0.0002813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46640, 46414, 46034, 45500, 44812, 43970?\n\"Answer: -77*d**2 + 5*d + 46712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14130602909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*j + 69. Suppose c + c = -j. Let d = c + 13. Solve 2 = -g + 2*m - d, 0 = -g - 5*m + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(171)*2*-5*5)**2.\nAnswer: -2137500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1209*x + 285. Is d(-25) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.59534 * -3.\nAnswer: 70.78602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -15. What is the greatest common divisor of s and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuwhuhuuuwuguh. What is prob of picking 1 w, 1 u, and 1 g?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -82, -300, -730, -1444?\n\"Answer: -12*c**3 + 2*c**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 22. What is the third derivative of 11*p**3 - 11*p**3 + 2*p**6 + 4*p**i + 3*p**6 wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqmewwlmmqlded. Give prob of sequence mdme.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haih when four letters picked without replacement from ohahhiiha.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -42472.53 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2) + 0 + -1 - (((sqrt(2) - 3*sqrt(2)) + 4 + sqrt(2))**2 + -3).\nAnswer: -20 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -40*i + 34*i. Calculate the remainder when i is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**2 - 9*v**2 + v**2 + (-2*v**2 + v**2 + 0*v**2)*(0 + 0 + 3) to t*v + k + r*v**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/35*(-7)\/2 + -1. Which is greater: s or -0.026?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3739, -3779, -3817, -3853, -3887?\n\"Answer: b**2 - 43*b - 3697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:02 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12106324 is divided by 1008860.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -205, -479, -923, -1567, -2441, -3575?\nAnswer: -4999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2980670)\/(-3696))\/(-553))\/(5\/28)?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - b + 47 = -43, 3*m + 5*b - 90 = 0. Let j = -16 + m. Suppose 4*s - r - 115 = 0, 4*r - 34 = -j. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396*i**5 + 11*i**4 - 2*i**3 - 2732*i**2 - 19*i wrt i.\nAnswer: -23760*i**2 + 264*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 159?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**7\/840 - f**6\/60 - f**5\/10 - 7*f**4\/12 - 8*f. Let n(c) be the third derivative of j(c). Factor n(q).\nAnswer: -3*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-276 + 0*b + 404 - b)*(1 - 3 + 0) in the form t*b + a and give a.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/19, -2, -19, 0.1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (18 + -30 + -24)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.028 (b) 0.2 (c) -1\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300 + -283. What is the greatest common factor of y and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 + 255. Suppose -93 = -3*y - 3*x, 5*y + 4*x - 61 - l = 0. Let a(k) = 6*k**2 + 3*k. Let z be a(-5). What is the highest common divisor of y and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(1900)).\nAnswer: -10*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*k**3*r**3 - 19*k**3*r**2 + 246*k**3 + 35063*k**2 - 38*r**3 wrt k?\nAnswer: -168*r**3 - 114*r**2 + 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7354, 14708, 22062?\nAnswer: 29416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/7)*c*c**(-4)*c*c*c)**0\/(c\/(c*(c\/(c\/c**(2\/15)))\/c)*c**6*(c*c**(2\/3))\/c**(-2\/7)) assuming c is positive.\nAnswer: c**(-926\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*1*2\/5. Let u(b) be the second derivative of -b**5\/60 + b**4\/12 - b**3\/3 - 5*b. Let z(n) be the second derivative of u(n). Determine z(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289506 divided by 6893.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -14, -18, -22?\n\"Answer: -4*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183\/(-1830)*(-15)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/1)\/((-9)\/12). Suppose 0 = -x*d + 3 + 21. Let q(z) = -z**3 + 5*z**2 + 5*z + 2. Calculate q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3690898 is divided by 283913?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*v**2 - 386 wrt v?\nAnswer: 184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2292 = 2*l + 2312, 4*l - 10 = -i - 47 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/81)\/n*n*n\/n**(3\/4)*(n\/(n\/(n\/(n\/(n**(-8)\/n)))))**(2\/31) assuming n is positive.\nAnswer: n**(-3445\/10044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 - 199 = 220*t - 650. Solve 4*y = i + 6*y - 2, t*y = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = 1. Suppose -x*c = -1 - 3. Calculate the remainder when 3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:17 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayaaayaaaaaaay. Give prob of picking 1 y and 3 a.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:47 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/1 - (-3 + 1). Let t(l) = l**3 - 7*l**2 + 8*l - 4. Let k be t(6). What is the highest common factor of k and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52785 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 68, 126, 184, 242, 300?\n\"Answer: 58*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2109319744 - 2109319744 + 202*p**2.\nAnswer: 202*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212)*1*6)\/(((sqrt(4) - (sqrt(32)*-2)\/sqrt(8)) + sqrt(4))*-3).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8646 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 263*k + 360*k - 303*k to the form w + r*k and give r.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:07 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.9768177 - 389026.6308177. Let g = h + 389419. Let x = 425 - g. What is x rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76443921 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 201330117, 201330118, 201330119, 201330120, 201330121, 201330122?\n\"Answer: a + 201330116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6919, 13747, 20485, 27133?\n\"Answer: -45*z**2 + 6963*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 1, 277 in decreasing order.\nAnswer: 277, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8966 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: What are the prime factors of 71805135?\nAnswer: 3, 5, 1151, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306 (base 16) to base 6.\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -35, -37, -39, -41, -43?\n\"Answer: -2*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3708 and 495?\nAnswer: 203940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**5 - 145*r**4 - 310*r**3 - 10*r**2 + 305*r + 155 = 0?\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282 - 274. Let d be 354\/14 - 18\/63. Suppose -y*a = -13*a - d. Let i(k) = -k**3 - 5*k**2 - k - 2. Determine i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6603176 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 7, c: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 3. Let w be h(-1). Let c be -4*(4 + (-56)\/w). Let n be c\/(-4 - -2) - -2. Calculate the highest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264 * -4.2185\nAnswer: -1113.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.08 and -0.08.\nAnswer: -0.4864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62943.62 millimeters to nanometers.\nAnswer: 62943620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1491 = -5*k, y - 2*k = 5*y - 2014. Suppose -88*l = -87*l - y. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-1*3*(-174)\/(-261))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 727\/4, -4, 3\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2486.1 + -2486. Which is the nearest to -2\/5? (a) 0.3 (b) -10 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20718263?\nAnswer: 59, 351157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4637 times 1265?\nAnswer: -5865805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2)\/((-224)\/256).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -6 - ((7 - 1) + -9 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 46*o**2 - 140*o - 340. What is h(49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/2*55\/(-44). Suppose -953 + 167 = -3*l. Suppose 0 = -3*o + n*o - l. List the prime factors of o.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6150290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 141120?\nAnswer: 141112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, -91, 0.1, 0.09?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.013 + -0.087. Let i = -5.7 + 5.66. Which is the closest to i? (a) -2 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlllryeirwlrwyi. What is prob of sequence we?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*w + 8477 + 7065 = -3983 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140933, -281842, -422725, -563570, -704365, -845098, -985757?\nAnswer: -1126330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.47 * 5.\nAnswer: 7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 plus -1079?\nAnswer: -1078.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**4\/12 - 11*h**3\/3 - 17*h**2. Let m be z(12). Suppose m*o = -o + 81. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1450 and 26463950?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2431*q + 172448 = 48650 - 148474 for q.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1761933131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41.1269305 and 0.143.\nAnswer: 41.2699305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*g - b, 5*g + b - 1450 + 1465 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 4:10 AM?\nAnswer: 711","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 32 = 21*c. Suppose -4 = 3*m + 2*r - 40, 2*r - 16 = -m. Suppose 7*n = 2*n + m, 18 = 5*o - n. What is the least common multiple of o and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rry when three letters picked without replacement from rrrryryrrr?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 720352421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 43. Suppose p - q - 16 = 0, 0*q - 78 = -4*p - c*q. Suppose -2*n = p - 66. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 5. Determine z(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2952, -5988, -9024, -12060?\n\"Answer: -3036*r + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/3689 and -60\/3689?\nAnswer: 3689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440 (base 13) to base 3.\nAnswer: -222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s + 6. Let b(d) = 9*d - 12. Calculate 3*b(x) + 5*h(x).\nAnswer: 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1347341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*p**2 - 654*p**2 + 1114*p - 1114*p.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 4*g + 3*g)*(1 - 1 + 2*g) - 31*g + 11*g - 3*g**2 + 15*g.\nAnswer: -7*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6437)\/(21*15\/35 - 10) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let z(l) = l**3 - l. Let y be z(o). Suppose 5*f - 13 - 2 = y. Solve 0 = 5*u + 2*w - 5, -f*w = -2*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2. Let x(d) be the third derivative of 11*d**4\/12 - d**2. Give f(x(p)).\nAnswer: -2420*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 451265899 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one halves of a century?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 1\/4*z**4 + 0 + 3\/4*z**2 + 3\/4*z**3 + 1\/4*z = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5712 divided by 4\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1)*(-8)\/(-2))\/(11358\/1893).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8190 and 18000.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n. Let x(f) = -4*f + 3. Let l(o) = 3*o - 2. Suppose -4*i = -2*i - 4. Let v(q) = i*x(q) + 3*l(q). Give v(p(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f**2 + f - 1. Let z(g) = -5320*g**3 - 8*g**2 + 13*g + 2. Let j(a) = 2*w(a) + z(a). What is the third derivative of j(k) wrt k?\nAnswer: -31908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9981\/2 + 4992. Factor -y*m**2 + 27\/2*m - 12.\nAnswer: -3*(m - 8)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -815 by -163.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.059 - 0.241. Let x be ((-8)\/(-10))\/(9 + (-352)\/40). Let k = -12 - -8. Which is the nearest to k? (a) -4 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*j + 24 = 0, c + 8 = 2*c - 5*j. Suppose -4*w = w + 5*p - 10, -p = -5*w + 22. What is the smallest common multiple of w and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-102)\/306*6*4. Which is bigger: h or -41?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 5*f + 4. Let v be k(4). Let q be 2*-2 - (-368)\/96. Is v at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 12.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 203251 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3475, -3217, -2799, -2221, -1483, -585, 473?\n\"Answer: 80*g**2 + 18*g - 3573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49077.\nAnswer: 3, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 44878.\nAnswer: 4487.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 425657 + -832657. Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2313 and 0.1.\nAnswer: -231.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2770 + 2772. Which is the nearest to 18\/7? (a) g (b) 13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let f be (-460)\/(-1288) + (-1)\/(-7). Which is the closest to 1? (a) f (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2. Let l be w(2). Let k = l + 29. Does 12 divide -2 + k + -2 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1207 + -1211. Let i = 27 - 29. What is the biggest value in -1\/3, i, -2\/13, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5802, -46236, -155992, -369732, -722118, -1247812?\nAnswer: -1981476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - a00?\nAnswer: -9a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -297 + 298. Let q = 5 + -3. What is the remainder when 74\/14 - d - (-66)\/(-231) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 7*i**2 - 5*i + 8. Let g be r(3). Let x = g - 78. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/((-2)\/(-834)). Let r = 143 - c. Solve 2*q + 4*y = 2, 4*q + 0*q - 5*y - r = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 27 = s + j, j = 4*s - 108. Calculate the remainder when 107 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -76, -115, -154, -193?\n\"Answer: -39*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75410 by 15082.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4274 - 9?\nAnswer: -427d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003 - -122?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1448*w - 1440*w - 56 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:18 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 17748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjndnj. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 6*u - 2*u. Put 4, 2, 1, u in descending order.\nAnswer: 4, 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6204 + 46?\nAnswer: -6136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8944, 17859, 26776, 35695, 44616?\nAnswer: 53539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294627?\nAnswer: 3, 17, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39571141 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-19)*y\/(y\/(((y\/y**(2\/41))\/y)\/y))*(y**(-2\/47)*y)\/((y*y\/((y*(y\/(y*y*y**(-3\/2)))\/y*y*y)\/y*y)*y)\/y))**(-3\/26) assuming y is positive.\nAnswer: y**(203391\/100204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*n = -22, 6 = 5*p + 6*n - 2*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, m: 5}. Give prob of sequence mmgg.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114708*g*y**3*z - 2*g*y**3 + 7*g*y**2*z - 2*g*y**2 - 45*g*y*z + 6*g*z - y**2*z + 5*z wrt y.\nAnswer: -688248*g*z - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.07 + 189.07. Let z = 187.5 - h. Let g = -1 + 0.8. What is the second smallest value in 2\/3, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 4*n**2 - 2*n + 17. Is h(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112\/49 - (-4)\/(-14). Suppose s*c = c - 4. Let v(u) = -7 - 15*u + 28*u - 14*u. What is v(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**2 - b**3 - 21*b**2 + 2*b**4 + 9*b**2 to u*b**4 + v + w*b**2 + f*b**3 + g*b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -12. Let x(y) = 8*y**2 + 37*y + 3. What is the lowest common multiple of j and x(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*b - 3078*b - 240845 + 56926 = 133366 for b.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 1, g: 6, l: 3}. What is prob of sequence ggm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 236 + 380. Let y = t + -88. Factor y + 4*r**4 + 0*r + 16\/3*r**2 + 8*r**3 + 2\/3*r**5.\nAnswer: 2*r**2*(r + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -113819, -227645, -341471, -455297, -569123, -682949?\n\"Answer: -113826*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b20b - -32?\nAnswer: b240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/15 (b) -3 (c) 9 (d) -7\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fivurddu. Give prob of picking 1 f and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/99897*-71*(3\/(-6))\/(-1)?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 18 = -0*q. Suppose -q*s = -6*s + 36. Solve f + 5*t - 12 = -f, 0 = -3*t + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146387106.\nAnswer: 2, 3, 8132617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 28.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -105816 - 2459*j**2 - 3106*j**2 + 105816 - 4122*j**2 in the form g*j + l + u*j**2 and give u.\nAnswer: -9687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, 1\/3, 1\/4, 12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 206.3?\nAnswer: -20.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (13 - (-7 + -4 - -12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/((-9)\/(-42))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/m**(2\/5)*(m\/m**(-1))\/m**4 assuming m is positive.\nAnswer: m**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(28\/(-16)) + 4)\/(-1). Solve z = -6*v + v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.68, -0.4, 4\/7.\nAnswer: -0.68, -0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 199087768 not equal to 199087767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 - p**2)*(3*p + 2*p + 4*p) - 11*p**3 - p + 19*p**3 - 10*p**3.\nAnswer: -20*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4835742 and 0.92?\nAnswer: 4448882.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-15) - (-110)\/(-6). Let o = w + 5. Suppose 12*k = -6*k - 252. Is k at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 7) to base 13\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/30)\/((-4)\/(-40)))\/(-36*55\/158895)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f - 4*f**2 - 6*f**2 - 6 + 2*f**2 + 7*f**2. Let s be l(-7). Suppose 0 = -12*h + s*h. What is h rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 9) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2001 + 2493. List the prime factors of d.\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -131, -133, -135?\n\"Answer: -2*u - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**2 + 4*t**3 + 8*t**4 - 3*t**4 - 5*t + 3*t**2 + 6*t**3 - 5*t.\nAnswer: 5*t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2149, 0.2, 15.879 in increasing order.\nAnswer: -2149, -5, 0.2, 15.879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4127*x**4 + 164*x**3 - 2418627*x**2?\nAnswer: -99048*x + 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + -6)\/(4\/2) + 2. Suppose 2*w + 19*x - 2710 = 15*x, w = -d*x + 1351. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 1, s: 5, n: 4}. What is prob of sequence fn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1863*v - 980*v - 156 = 1012*v - 27 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z - 113*z - 174 = -11*a, 0 = 3*z - a + 116 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 380?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(17)*6 + 1 + (-5*((sqrt(425) - (sqrt(425) - (sqrt(425) - (sqrt(425) + -2)))) + sqrt(425)) + sqrt(425))**2.\nAnswer: 436*sqrt(17) + 6901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**3*p**2 + 6*j**3*p - 653*j**3 - j**2*p**2 + 5*j*p**2 - 1441*p**2 wrt j.\nAnswer: 24*p**2 + 36*p - 3918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -628.645 + -230.21?\nAnswer: -858.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(((-3025)\/50)\/11)*(-69)\/2?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2 - 1*-3). Suppose r*b + 6 = 4*b. Calculate the smallest common multiple of 6 and (42\/(-4))\/(b\/(-4)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 + (-5)\/(10\/4). Suppose 4*h - 6 = k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - o**2 + 5*o + 1. Let b be g(-4). Suppose 93 = 3*t + 3*c, -5*t = 41*c - 38*c - 155. Calculate the greatest common factor of b and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 210 = 10. Suppose 2*h = h - k. Let c = 1009 + -1945\/2. What is the common denominator of c and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48790 and 70.\nAnswer: 48790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-261)\/45)\/((-629)\/370*3\/(-51)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 5 = 6*b. Suppose -b*k + 10 = -15*k. Sort -3, -22, -2, k in decreasing order.\nAnswer: -2, -3, k, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2586250, 2586312, 2586374, 2586436, 2586498, 2586560?\n\"Answer: 62*z + 2586188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68788878.7 and -4?\nAnswer: -275155514.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 8*f**2. Let r be h(8). Suppose 4*p + 1 = 5. Is p not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42012095*w**2 + 197830484 wrt w.\nAnswer: 84024190*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 3. Let c = -1 - -1. Suppose -4*i + c*i + 20 = 0. Suppose -3*g + 4 = -i. What is z(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -48*o. Let n(l) = -339461 + 339461 - l. Give -4*m(a) + 176*n(a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 475*j - 10830.\nAnswer: -5*(j - 57)*(j - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17451 greater than 17456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -5 (c) 44\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g = -223083 + 224447 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Suppose 2*f - 3*u = -5*u - 6, w = -5*u + 10. Is (-10)\/(-2)*(-4)\/f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77186 + 77243 = -2*u - 5*z, -4*z = -42*u - 1088 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 137, 225, 311, 395, 477, 557?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5226393*z**5 - 17674633*z wrt z?\nAnswer: -104527860*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4202?\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7429, 14816, 22201, 29584, 36965, 44344, 51721?\nAnswer: 59096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 6*w - 6. Let n be r(6). Let m(l) = 3*l**2 + 3*l + 2. Let f(i) = 0*i**2 + 1 + i**2 - i - i + i. Let d(k) = -2*f(k) + m(k). Calculate d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 747241512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - ((2 - 4) + 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65507?\nAnswer: 13, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040092 is divided by 208013.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 9:17 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -1, 25, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(20)\/(sqrt(40)\/sqrt(4))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 7*k**2 - 9*k - 18. What is the remainder when s(-7) is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 0 - 3)*(-2*m**5 + 0*m**3 + 0*m**3) - 64*m**5 + 46*m**5 - 59*m**5 - 18*m**5.\nAnswer: -133*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*q - 2201 = -461*q + 8077 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -90132365.4 to the nearest 10000.\nAnswer: -90130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110000 - -1?\nAnswer: 1011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3\/(-3))*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41938 and 16130?\nAnswer: 209690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241\/35 + -51\/7. Let n = -3.6 - -0.6. Let a = 15284.9 + -15285. What is the closest to -0.5 in a, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h - 32. Let j be o(4). Is (6 - 2506\/(-2)) + j\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3. Let j be x(-6). Suppose 3*q - 2*q = j. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50716 and 226.\nAnswer: 5730908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let k = -3486 + 3518. What is the third derivative of -19*u**h - 12*u**2 + 32*u - k*u wrt u?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*b**4 + 310*b**3 - 29*b**4 + 8*b**4 - 8*b + 69*b**4 to s*b**2 + u + j*b + f*b**4 + p*b**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -194245*m + 12. Let u be -5*(-18)\/30*(-1)\/1. Let c be o(u). Let z = 1637253 + c. What is z rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/9)\/h)**24 assuming h is positive.\nAnswer: h**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 175457\nAnswer: -877285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 40*f**3\/3 - 249*f**2\/2 - 97*f. Find the first derivative of g(w) wrt w.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -3, -2.1, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 504*k**4 + 3*k**2 - 555*k - 3. Let t(l) = -l**4 - l**2 - l + 1. Let x(b) = c(b) + 3*t(b). What is the second derivative of x(d) wrt d?\nAnswer: 6012*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from gtggd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12093 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: What is the highest common factor of 224 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270626281.999947 - -270626165. Let z = t + 117. What is z rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + w + 44, 4*y - 4*w = -7*w + 60. Let l(k) = -k + 10. Let j be l(y). Let m(g) = g**2 + g - 2. Give m(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27847679 by -227.\nAnswer: 122677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 218885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + x**2 - x - 1. Let j(k) = -160*k**4 - 2*k**3 + k**2 + 244*k - 1. Let i(y) = j(y) - u(y). What is the second derivative of i(w) wrt w?\nAnswer: -1920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6722 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3125*z + 1692*z - 3648*z.\nAnswer: -5081*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 5:43 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - l**2 + 2*l**5 + (4 - 2*l - 4)*(677*l**4 - 41358*l**2 + 41358*l**2).\nAnswer: -1352*l**5 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.81686 weeks to seconds.\nAnswer: 57950036.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000166187 rounded to 6 decimal places?\nAnswer: 0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (18 + -12 + (2 - -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*n**4 - 65*n**4 - 61*n + 18*n)*(-3 + 3 - 2*n).\nAnswer: 2*n**5 + 86*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 16 = 3*i, 0*i - i = 5*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64087666.\nAnswer: 2, 32043833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 284, 3326, 11898, 28766, 56696?\n\"Answer: 461*r**3 - r**2 - 182*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.02, 1\/5, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 20, 2*h + 442 = -5*v + 5*h. Let b be v\/(-18) + (-4)\/(-18). Suppose b*x - 2*x - 17 = 4*j, 0 = 2*j + 4. Put 5, 4, x in increasing order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13965, -16014, -18051, -20070, -22065, -24030, -25959?\n\"Answer: g**3 - 2056*g - 11910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4038, 15600, 34654, 61194, 95214, 136708, 185670?\nAnswer: 242094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0.5 (c) 0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -102, -110?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -10, -5*j - 13 = -641*z + 640*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 + 77*n - 409. Determine t(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*i + 45596035, -5*i + g - 2*g = 45596010. Let l = 1316773 + i. Let a = l - 27397570. Round a to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 281*u - 117*u**4 - 69*u + 118*u**4 as x + j*u**3 + q*u**4 + o*u + w*u**2 and give o.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 25. Let d be -5 + 0\/(0 + -1). Let j(o) = 8*o - 17 - 8*o - 2*o**2. Let c(w) = d*b(w) + 7*j(w). Find the first derivative of c(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 22*v - 110*v**2 - 8*v - 14*v. Let n(z) = z. Give h(n(f)).\nAnswer: -110*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -1 - -2) + -4. Suppose -146 - 193 = -241*w - 98. What is the closest to -2\/5 in w, t, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186325337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + 13*l**2 - l - 12. What is the remainder when p(6) is divided by 181?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.9 and -2956517?\nAnswer: -8573899.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, j: 1}. Give prob of picking 3 s.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:09 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114*72\/(-2280))\/((-1)\/1).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q + 2*q + 0*q + (-35 + 5 - 8)*(-12*q - 11*q - 4*q).\nAnswer: 1023*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23072199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46200 divided by -550\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*m - 215, 0 = -2*t - t + m + 145. Let l = t - 20. Suppose -l - 7 = -h. Is 34 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6767562.73 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1. Let x(j) = -2*j**2 + 6. Let f(n) = 24*m(n) + 4*x(n). Let i(p) be the second derivative of -7*p**3\/6 + p. Calculate i(f(c)).\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = q + 17, -19*l + 17*l + 34 = -5*q. Let i(x) = -9 + 0 + 3*x**2 + 2*x**2 - 6*x**2 - 9*x. Determine i(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 5473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62253336.\nAnswer: 2, 3, 43, 179, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, y: 2, b: 1, t: 9}. Give prob of sequence gy.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 + 43 = 3*h. Suppose 0 = -4*u + 2*w + 222, -2*u + w = -3*w - h. Calculate the remainder when u is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*r - 153*r - 26598 = -300*r for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -1836.\nAnswer: -11\/918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/30723 and 229\/32340?\nAnswer: 614460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -527*u - 34128. Give n(-65).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 3\/2*y**2 - 1\/3*y**3 - 1\/20*y**5 + 0 - y + 5\/12*y**4. List the prime factors of l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90912556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 12\/78 + 1192\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -15. Does 33 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 101 (b) -1 (c) -20 (d) 1\/21574 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -202 + 4180?\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4028 + 33a?\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30121, -30142, -30183, -30250, -30349?\nAnswer: -30486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c**3 + 2*c**3 + 43*c**3 - 2*c**3.\nAnswer: 78*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - 2*g**3 - 3*g**2 + g**2)*(-790 + 233 + 276 - 337*g + 279) in the form m*g**2 + h + o*g + n*g**4 + u*g**3 and give u.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6592278 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-2 - -4 - 11). Let j be (-5)\/(-20)*l\/2. Suppose j = 4*q - 7. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 + 6*y**4 + 13*y**3 + 12*y**2 + 4*y = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255562 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/120 - f**5\/60 + f**4\/24 - 3*f**2. What is the units digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 777396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.04 smaller than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 9 = 0, 94*k + n - 4*n + 0 - 6 = -n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 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: Sort 9, 0.06, 3\/4, 3 in descending order.\nAnswer: 9, 3, 3\/4, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 2*c + 3\/2*c**2 - 1\/2*c**3 + 0. Determine p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*z - 133*z + 22617 = 0. Calculate the remainder when z is divided by 350.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 16, -1 in ascending order.\nAnswer: -5, -1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 460*y**2 + 8*y + 1. Let k be i(-1). Suppose -3*v - 5*h + k = -2*h, 5*h + 337 = 2*v. Suppose v = -14*r + 16*r. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Suppose -5*s - p*q + 29 = -0*s, -4*q + 8 = 0. Suppose 5*c - 15 = -5*n - 5, 4*n + 3*c = 10. Solve -n*u = -v + 21, 2*v + 0*v + s*u = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 - 5*j. Let r(k) be the third derivative of k**4\/12 - 2*k**2. Suppose -5*v + 0 = -10. What is v*b(m) + 5*r(m)?\nAnswer: 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, -2765, -2\/9, -0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*j + 1665 - 378 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -9 + 1. Suppose 0 = -5*s, -2*k = s - m - 4. Calculate the remainder when 14 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61095810 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 25830, 3.\nAnswer: 3, 4, 25830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 187.679 to the nearest integer.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:05 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n - 272 = 26*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) 3\/2 (c) 0.1 (d) 2\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107921*o + 107933*o + 0 + 0.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 433344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {s: 1, x: 1, c: 1, d: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -143*p**3 + p**2 - 20*p + 32. What is s(2)?\nAnswer: -1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-10)\/(-1))*-17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103333020 (base 5) in base 10?\nAnswer: 449135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/22)\/n)**21*(n**24)**(-46) assuming n is positive.\nAnswer: n**(-24729\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163619014?\nAnswer: 2, 13, 6293039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32139, -64350, -96561, -128772, -160983, -193194?\nAnswer: -225405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2\/(4*(-5)\/(-380))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(4)\/(2*sqrt(2))*5)**2.\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*x**4 + 335*x**3 - 906*x**2 + 640*x - 32.\nAnswer: -(x - 4)**2*(x - 1)*(37*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66701817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 13*m - 39. Determine x(7).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*f - 75*f - 2*t = 64, -5*f = -t + 53 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and (-4)\/((4\/18)\/((-12)\/9))?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = 416 + 541. Let m be 4\/(-22) + -1 + (-188759961)\/o. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 21 = 4. Suppose -4*u + 4*b = -12, -u - v*b = -0*u + 9. Let z be -2*(1 - -1) + -1. Put 3, u, z in descending order.\nAnswer: 3, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*i + 7*i**4 + 0 - 4*i**4 - 32*i + 36*i**2 + 2 in the form o*i**3 + v + h*i**4 + l*i + p*i**2 and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405609 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 237*l**2 + 193*l - 8805. Calculate y(119).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 962, 1848, 2734, 3620?\n\"Answer: 886*z + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9476.049 + -9497. Let m = -0.349 + j. Let x = m - -21.391. Round x to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 32?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Suppose -47442 = -67*s + 62974. Let n = s - 1641. Solve z = c + n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(-10)))\/u**(-33)*u**(-4\/13)\/(u**27*u))**(-1\/39) assuming u is positive.\nAnswer: u**(82\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -1088.959\nAnswer: -41380.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 945647 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let h(p) = 2*p. Let i(w) be the first derivative of w**4\/4 + 2*w**3 - 5*w**2\/2 + 4*w - 10. Let d be i(-7). What is d*y(n) + 3*h(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4559 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 36. Let f = y + 34. Calculate the least common multiple of 33 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (15 + 0 + -10 + 5) - 15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1449794 less than -1449797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (-28 + 12)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 778.0979287 to 1 dp.\nAnswer: 778.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765 (base 9) in base 7?\nAnswer: 3644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s - 4*m, 3*s + 5*m = 34. Let v = -4 - -2. What is the units digit of (s - -1) + 6\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 22. Let z be 16\/(-104) - r\/13. Are z and -1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/219, 0, 14.9563, 2\/3 in increasing order.\nAnswer: -5, 0, 2\/219, 2\/3, 14.9563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 - 4*t**2 + t**2 to the form w + g*t**2 + a*t and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3155239 and -2.6.\nAnswer: 0.82036214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 69, 2\/7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119 is divided by 62.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -790 + 1345. Let x = -85 + g. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3230004433 + 3?\nAnswer: -3230004430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 19*m**6\/30 + m**4\/12 - 27*m + 24. Let z(t) be the first derivative of k(t). Find the third derivative of z(a) wrt a.\nAnswer: 456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3422.53nm to micrometers.\nAnswer: 3.42253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4))**(1\/2)\/(x**(1\/5)*x*x\/((x\/(x*x**(-2\/13)))\/x)) assuming x is positive.\nAnswer: x**(-1389\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29327 + -733177\/25. What is the closest to -6 in d, -0.04, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 - -315. Let g = -164 + a. Calculate the highest common divisor of 30 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, -3\/2, -5, 47066?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.5989 times -0.106?\nAnswer: -3.7734834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15955783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 45, 86, 131, 174, 209?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let c(j) = 135 - 135 + 22*j. Calculate c(u(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26639 is divided by 2203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 136317*j + 490286?\nAnswer: 136317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129037 is divided by 321.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69040, -552568, -1865050, -4420978, -8634844, -14921140, -23694358?\n\"Answer: -69082*l**3 + 15*l**2 + l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*t - 9858, 11*t + 9856 = 4*u + 7*t. What are the prime factors of u?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 9:38 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 3*u + 4*n, -5*u + n - 23 - 193 = 0. Let a = 841 - u. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 + 142 - 1562*q**2 + 113.\nAnswer: -1562*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 6231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.018 + -0.106. Round l to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 359640.6kg?\nAnswer: 359640600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 17*i**2 - 321*i - 320. Give u(-28).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**3 + 6*a**2 + 4. Let u(c) = -3*c**3 - 6*c**2 + 13*c**2 - 3*c**3 + 5. Suppose -63 = 5*h + 87. Let b be h\/4*2\/(-3). What is b*f(z) - 4*u(z)?\nAnswer: -z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/8*10\/(-15). Let z be (-4 - (-6)\/1)\/i. What is the derivative of 2 + 0 + 4 + z*a**3 - 5*a**3 wrt a?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4874*o**2 + 4 + 4878*o**2 - 4.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/3*9\/3. Let h(g) = -997*g**2 - 8*g + 10. Let j(r) = 1662*r**2 + 18*r - 20. Let f(z) = -5*h(z) - 3*j(z). What is f(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/27 - (-104)\/18. Let l = 2399 + -2342. Calculate the highest common factor of d and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:25 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + 2*j)*(-j + 2*j + j) + 48 + 8*j**2 - 48 + (j - 2*j + 3*j)*(0*j - j + 0*j + (-1 - 3 + 5)*(4*j - 3*j + 0*j) - 4*j + j + 0*j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492282356 to the nearest integer?\nAnswer: 22187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4097*b + 36867. Determine s(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 0. Suppose z = -3*x - 3, f - 3*x = -0*x + 5. Solve -3*p - 7 = j, -f*j - 7*p - 10 = -2*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*l + 164*l - 78*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -19*y + 14. Let n = 114 + -120. Let u be x(n). Suppose -11*k + u = -598. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, -1, 0, 12 in decreasing order.\nAnswer: 23, 12, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 79*o**2 + 155*o**2 - 74*o**2 to c + i*o + r*o**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 - 105 - 32*v)*(0*v - v - v)*(-6 + 2 - 5).\nAnswer: -576*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.342157 millennia?\nAnswer: 4105.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 3}. What is prob of picking 2 p and 1 x?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaasaaaasas.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) 0.1 (c) 2 (d) 5260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -159\/5 and -31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 710 and 8.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -842 - 64*x**2 + 186*x**2 + 842 in the form b*x + j + o*x**2 and give o.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i*n**3 - 3*i + 718*n**3 + 13734*n**2 wrt n.\nAnswer: 12*i + 4308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231) + sqrt(231)*-2 + sqrt(231))*-4 - sqrt(231))\/sqrt(7))\/((sqrt(75) + -6*1*sqrt(75) - sqrt(75) - sqrt(75)) + sqrt(75) - sqrt(75)).\nAnswer: sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**3 + 16*r**3 - 27*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(-2 + 4 - 3) - 1 + 0 + 3)*(-11*j**3 + 2*j**3 - 34*j**3).\nAnswer: -172*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i**2 + 2*i + 2. Let v be y(-1). Suppose -17*l - 205 = -v*l. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**3\/6 - 3*t**2 + t. Let v be 12 + 5*5\/(-5). Let s(a) = a - 7. Let l(m) = v*p(m) - 6*s(m). Determine l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -49*s + 29*s + 3 + 24*s + s**3. Let c(k) = -5*k + 28. Let m be c(6). Give o(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s + 3*l, 4*l = -4*s + 2*s. Let c be 3 - (1 + 1)*(10 + -11). Let p be 806\/1209 - -5*2\/(-6). Put p, c, s, -2 in ascending order.\nAnswer: s, -2, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9\/c**(-16\/7) assuming c is positive.\nAnswer: c**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 9383*s**2 + 14929*s**2 - 5 + 5*s - 7*s.\nAnswer: 24312*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759 and 216845817.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 1.1854.\nAnswer: -20.1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:44 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25712327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8. Suppose -3 = -3*w, -2*l + 2*w = -5*l + 11. Let h be -3 - ((-16)\/l)\/2. What is the third smallest value in z, -4\/3, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8*r - 1485. Let d(s) = -102*s**2. Give m(d(u)).\nAnswer: -10404*u**4 + 816*u**2 - 1485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1471, 2824, 4177?\nAnswer: 5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-1))\/(21\/(-42)). Which is the fourth biggest value? (a) m (b) -0.4 (c) -1\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1239*r + 576.\nAnswer: -1239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4855787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121 + 356630?\nAnswer: 360051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.43 + -0.57. Let y = h + 3. Let a = -20.99999963 - y. What is a rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(5\/6)*k)\/((k\/(k*(k*k**(-7))\/k))\/k) assuming k is positive.\nAnswer: k**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 35 + -16)\/((-2)\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v - 451 + 21 = 0. Let i(q) = 0*q + q - 3*q**2 - 1 + 4*q**2 - 10*q. Give i(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -31261302?\nAnswer: 312612aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93151.84 millilitres in litres?\nAnswer: 93.15184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -73 - (-1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 5472*d - 28. Determine f(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -77*g**2 + 17\/2*g**4 + 0*g**6 + 0*g**3 + 0*g**5 + 0 + 299\/210*g**7 + 0*g. What is the second derivative of r(m) wrt m?\nAnswer: 3588*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**5\/4 + 5*b**4\/4 - 10*b**3\/3 + 251*b. Factor q(j).\nAnswer: 5*j*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 24 = 4*f - q, 2*f = -5*q. Which is the nearest to f? (a) 2\/19 (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.8 and 6439136.\nAnswer: 6439151.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let f(b) be the second derivative of 1963*b**3\/6 - 1778*b. Calculate m(f(u)).\nAnswer: 1963*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309703, -2477480, -8361443, -19819684, -38710295, -66891368, -106220995, -158557268?\nAnswer: -225758279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/643?\nAnswer: 5\/643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 235806737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -73, 2, -5 in ascending order.\nAnswer: -73, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-2) - 30\/9. What is the closest to -0.1 in -0.5, a, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(6\/1171) - -5. Let c = 4838 - h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + (0 + sqrt(891) - sqrt(891) - sqrt(891)))*1)**2.\nAnswer: -162*sqrt(11) + 8028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 - z. Suppose -3*b = -4*t - 70, -7*b + 2*b + 115 = -5*t. Let o(a) = -12*a**3 + 11*a**2 - 13*a. What is b*p(l) - 2*o(l)?\nAnswer: 2*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*v**5 + 4*v**4 - 605*v**3 + 19067900*v wrt v?\nAnswer: 3340*v**3 + 48*v**2 - 3630*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 2 + 2 - 7) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1116)\/(-20) - 3\/(-15). Let u(q) = q**3 - q - 13. Let x be u(0). Let t = x + k. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2367 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 0. Which is the closest to -4? (a) 2\/13 (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4643, -4365, -3903, -3257, -2427?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.11 (c) -2\/11 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwwwsswwwswws. Give prob of picking 1 s and 1 w.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 2, -1, 10 in increasing order.\nAnswer: -7, -1, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13771, -29719, -45667, -61615?\nAnswer: -77563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+0.25269\nAnswer: 0.26269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*w - 14*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 - 78 + 5*k**2 - k**3 + 2*k + 152 as z*k**3 + p*k + j*k**2 + c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 3*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/21*(-861)\/(-3690)*15\/13.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2429030 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7340408 kilometers?\nAnswer: 734040800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59241 by 59241.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {h: 3, x: 5, g: 1, s: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1242 - -871. Let u = r - -371. Factor -4\/7*y**3 + u*y**2 - 2\/7 + 4\/7*y + 2\/7*y**4.\nAnswer: 2*(y - 1)**3*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 161*t**2 + 3724*t + 28. Calculate q(28).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/91625, 1, -2, -2\/5?\nAnswer: -2\/91625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/45)\/(2*1\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2 + 3*(-4)\/(-12). Let u be 4\/3*(-3)\/(-2). Let o = u + t. Sort o, 2, -0.4.\nAnswer: o, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 4*w + 5. Let n be 3 + (0 + 1 - 1). Let o be 7\/2 + n\/6. Let v be u(o). Solve -3*h - 2*h + v = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 163181\/17 + -9595. Factor -80\/17*t + 32\/17 + 2\/17*t**4 - 20\/17*t**3 + i*t**2.\nAnswer: 2*(t - 4)**2*(t - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -1721646.\nAnswer: -1377316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dssd when four letters picked without replacement from {d: 6, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149044851 and 3498.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 646247*t + 4523734. What is g(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41588 and 17908.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - ((sqrt(468)*-1 - sqrt(468)) + 1))**2.\nAnswer: -36*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 o when four letters picked without replacement from gyogoy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3\/3 + 5*z**2\/2 - 5*z + 1. Let v be (32\/(-20))\/((-1)\/(-5)). Is 7 a factor of d(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 at most 577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*d - 102, 5*d = -5*u + 2*u + 250. Calculate the smallest common multiple of 2250 and u.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*j = -27, 2*t - 6*t - 4 = 4*j for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*z = -0*n + 66, 0 = 3*n - 4*z + 146. Suppose -2*l + 1 = 3. Let d be l\/(2*3\/n). Solve -3*f - 3*o - d = 0, -3*f + 4*o + 8 = -6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:03 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -27. Solve -o = -2*y + 3*b - 2*b, 0 = 4*y + 3*b - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-80)\/(-25))\/((-2)\/(-10)). Suppose 2*h - o = -2*h. What is the greatest common factor of 16 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {l: 2, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kksoosskweaao. Give prob of sequence os.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/8 and 62\/141?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90826 + 3261. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s - 36. Let c be (-5)\/(s - -4) + -1 + 1. Put 2, -5, c, 9 in decreasing order.\nAnswer: 9, 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**4 - 2*y**3 + 4*y**2 + 6*y + 6. Let a = 19 - 13. Let n(k) = -k**3 + k**2 + k + 1. Let g(f) = a*n(f) - r(f). Factor g(h).\nAnswer: 2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/72)\/(10\/18). Let y(q) = -q - 2. Let x(j) = -8*j - 7. Let w(h) = m*y(h) - x(h). What is w(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -7*j - 43. Let x be 1*-4 - 1*-2. Put j, x, -5 in descending order.\nAnswer: x, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a (base 13) to base 4.\nAnswer: 12003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2980*g - 314*g**2 + 2980*g)*((1 - 2 + 0)*(-1 - 1 + 4) - 1 - 8 + 1) in the form u*g + l + n*g**2 and give n.\nAnswer: 3140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 greater than or equal to -2518504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30421 (base 5) to base 10\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(11) - sqrt(132)\/(sqrt(12)*2)) + -1*sqrt(1331))**2.\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + x**2 - 3*x - 1. Let r be u(0). Which is the nearest to r? (a) 0.2 (b) -0.3 (c) -0.1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Suppose 0 = -3*m + 5*r + 35, r + 3*r + 36 = c*m. Suppose -m*l = -3*i - 25, l - i = -0*i + 7. Solve 4*f + 16 = -l*v, f + v + 14 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmcpxm. Give prob of picking 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -29*p - 72. Let x be y(-5). What is the remainder when 142 is divided by 2*2*(-9)\/((-36)\/x)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -31\/3. Let k be (-2)\/5 - 2\/(-4). Is k >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -85*w**2 + 9*w. Let q(g) = 0*g - 1 - 3 + 5 + 3*g - 4*g. Let v(t) = 2*c(t) + 18*q(t). What is the first derivative of v(p) wrt p?\nAnswer: -340*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18650, -18532, -18414?\n\"Answer: 118*p - 18768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/180 - 2*h**4\/9 + 14*h**3\/9 + 30*h**2. Suppose m(s) = 0. What is s?\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = q - 4*p + 60, 0 = -4*p - 16 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 47, 110, 201?\n\"Answer: 14*d**2 - 7*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 109.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 389 = -361. Suppose q*h = 9 + 12. Solve -h*y - 4 = z + 3, 15 = -5*y - 5*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, v: 2, t: 14, o: 1, p: 1}. Give prob of picking 2 t, 1 x, and 1 p.\nAnswer: 182\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 108 = -5*h, -4*h + 2*h + 2*p = -56. Let k = 1201 - h. List the prime factors of k.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/24 - (-1)\/(-3). Suppose 3*y + 7*i - 3*i - 11 = a, -4*y - 3*i = -3. Let u = y + 3. Is 0 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 16.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 + -1 - -1. Suppose w*v - 16 = s + 45, 0 = 5*s + 25. Suppose 2 = l - v. What is the remainder when 117 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*p**2 + 4 + 97*p**2 - 4.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 23 + 21 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from rrccrcrcdrrcdrrrcr?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 + 0)*(t + 0 + 0) + t**2 + 6 - 3 - 2 + (t + 10*t + 2*t)*(-3*t + t + 0*t)*(6 + 10 - 12).\nAnswer: -104*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2376\/(-10))\/(4\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42, -0.1, -3.2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 497999 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**4 - 756*j**3 - 2912*j**2 + 8880*j = 0.\nAnswer: -185, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7\/4)\/z)\/z*z)**(-12)\/((z*z*z*z*z*z**(-6\/11))\/z)**(4\/7) assuming z is positive.\nAnswer: z**(2389\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.867 * 0.2.\nAnswer: 2.1734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59065634?\nAnswer: 2, 29, 379, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 83 + 858 = g, -16 = -4*g. Suppose a + j = 2*w, -26*w = -22*w - a - 513. Calculate the highest common factor of 160 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205585246.\nAnswer: 2, 37, 421, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1992, -1104, 378, 2454, 5124?\n\"Answer: 297*b**2 - 3*b - 2286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.1, 4, 0.043, -15.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 2) - (2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2856518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8\/5, -2\/15, -4, -5.552, 10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*y**2\/7 - 32892*y\/7 + 348 = 0. What is y?\nAnswer: 2\/27, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.2, -8, 2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**3\/27 - x**2\/2 + 8*x\/9 - 94. Factor c(r).\nAnswer: (r - 8)*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0076818 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 7*h - 4. Let b be u(-5). Let a be b\/12*(-3 + 12 - 3). What is the first derivative of 23 - 5*i**3 + 2*i**3 + 2*i**3 - 5*i**a wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 569139153.0617906 - 569138993. Let k = f + -159.6818. Let w = k + -0.38. Round w to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5*f)\/f*f*f**(-7))\/(f*(f**(-1)*f)\/f)**23 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 2:08 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*i + 2*x - 11, -6 = -2*x. Is 42 a factor of (-8*1)\/(1593\/(-315) + i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 20 = 4*p. Solve -3*y - p = 2*b, -5*y - 17 = 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10522660 and 4760?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 3, h: 3, p: 3, w: 2}. What is prob of picking 1 g and 3 h?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3122.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 53*y + 33. Calculate o(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 371b9344 - 2?\nAnswer: 371b9342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50981?\nAnswer: 7, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/v**(-2\/5))\/v*v)\/(v\/v**(9\/7)))\/(v**(-15)*v)**(1\/46))**1 assuming v is positive.\nAnswer: v**(2407\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 19*k + 273. Let b be r(-27). Solve 67*m + 50 = b*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. What are the prime factors of ((-2)\/m)\/(2\/(-66))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0*4\/(-4))\/2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54 - 1)*(-4)\/10. Let i(r) = 4*r**2 + 104*r + 355. Let g be i(-22). Solve -g*w + a = 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 equal to 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -270*f + 504. What is the thousands digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*s + 16, -2*s + 2*m = 8 + 2. Let q(l) = -l + 8. What is q(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*p - 1616 + 1615 + 41*p)*(-p + 0*p - p + 21) as u*p**2 + k + j*p and give u.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, f: 2, x: 9, n: 1, o: 1}. Give prob of sequence zo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 * 0.00690973.\nAnswer: 0.62878543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41760 and 32256.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1450?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 1 (c) -1\/13 (d) -1.4 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 - (-158 + 86 + -76)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144129 is divided by 775.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1833*v**2 + 710*v**2 - v + 10*v**2 as r*v**2 + o + m*v and give r.\nAnswer: 2553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 4 - 2)*(a + a + a)*(-33*a**2 - 70*a**2 - 20*a**2)*((-a**2 + 2*a**2 - 3*a**2)*(2 - 3 + 0) + 0*a**2 - 4*a**2 + 6*a**2 - 3*a - 2*a**2 + 3*a).\nAnswer: 12546*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*(2 + 45\/(-10)*1 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-240))\/((-6)\/51 + 135\/(-2754))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4993 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1258 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5021534228 to the nearest integer?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*n - 8, 8 = -176*n + 181*n + 3*v. Solve 0 = 27*u + 77 + n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:35 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 21*j**3 - 11*j + 12. Determine u(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*b = -4*k - 24, 4*b + 78 = 5*k. Let i = -11 + k. Solve -4 = -i*c + 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -15*q + 11*q. Suppose 0*s + 2*x - 34 = -4*s, -q = -x. Calculate the highest common divisor of 88 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300 divided by -3?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -874 - -872. Let h = -0.52 + 0.14. Is i equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(190) - 3*-2*sqrt(190)))\/(-4*(-1*sqrt(250) - sqrt(250))))**2.\nAnswer: 931\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 8*b = 7*b - 41, -q + 26 = -2*b + 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 - 38 - 39)*(2 - 2 + 2*f) as t + a*f and give a.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 32. Which is bigger: -2\/3 or r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 2) + -1 + (-7 - (7 - 8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + x**2. Let o(b) = -3*b**3 - b**2 - 2*b - 4. Let m(q) = -o(q) - 4*z(q). Let h be m(-3). Let k be h\/(-6) - 11\/(-3). Solve -k*p = -8 + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/15 - 4\/10. Let i = -50470 + 50469. What is the closest to 0.1 in -2\/13, i, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/(-4))*(-2)\/(50\/15).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-4900)*-14*-5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 406027830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -25*h + 15. Let q = 16 + -14. Suppose 35 = -q*l + 19. What are the prime factors of c(l)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (6 + -40 + 39)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 153609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, t: 3, n: 6, g: 4}. What is prob of picking 1 h, 2 n, and 1 t?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*z - 5*u - 31 = -667*z, 2*u - 116 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(57)\/sqrt(48) - 1*(sqrt(2736) + sqrt(2736) + 0 + -3))**2.\nAnswer: -138*sqrt(19) + 10060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 47712.\nAnswer: 429408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 633*o + 7054. Determine s(-305).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0*q**2 + 1\/120*q**5 + 0 + 1\/12*q**4 - q + 1\/3*q**3. Let k(a) be the second derivative of z(a). Give k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12086, -24467, -36844, -49217?\nAnswer: -61586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -263 + 1154. Calculate the remainder when 13 is divided by 4\/(-18) - 418\/c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 - 2*g + 1. Let t(y) = 2*y**3 + y**2 + 3*y - 1. Let f(q) = -2*t(q) - 3*x(q). Give f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 30. Let w = -2351\/9420 + -1\/2355. What is the smallest value in w, 4, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 38 = -3*c, 28*c - 17 = -o + 30*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = -3*d + 3, 0 = 2*m + 3*d - 12. Let a(y) = 11*y + 13. Let k(w) = 5*w + 6. Calculate m*k(t) - 4*a(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6754 divided by 4.\nAnswer: 3377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, -0.1, 0.5, 5, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k - 3*k - k + (-1 - 2 - 2)*(3*k + 0*k - k) + 2*k - 2*k + 2*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8 - ((-189)\/(-14) - 18\/3))*-16 + -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q = -2*l + 14690, 5*l = -2*q + 7341. List the prime factors of q.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -70*v + 69*v. Calculate the common denominator of ((-38)\/v)\/(16\/(-12)) and -23\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + 0.17. Which is the closest to v? (a) 0.5 (b) -0.1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from wkexk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21383957 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/3 - 3*z**4 + 6*z**3.\nAnswer: z**3*(z - 6)*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 23*k + 37. Calculate h(20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50099\/1872 + 348\/13. Let n(o) be the third derivative of 0 + a*o**4 + 1\/180*o**5 + 0*o**3 + 1\/720*o**6 + 0*o + o**2. Factor n(q).\nAnswer: q*(q + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2622\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -106.\nAnswer: -12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppxxxxpxpxxxxpxxp. What is prob of sequence ppx?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26447, 24545, 21373, 16931?\n\"Answer: -635*d**2 + 3*d + 27079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1859 - -0.05.\nAnswer: -1858.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -267*s**2 - 1863*s + 42.\nAnswer: -3*(s + 7)*(89*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43420621 (base 7) to base 9.\nAnswer: 6888121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528582 is divided by 3769?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 91.144. What is c rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1 + -3)*1. Let t be (-1)\/p + 9\/(-6). Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2062, 15952, 53624, 126970, 247882, 428252?\n\"Answer: 1982*y**3 - y**2 + 19*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k - 5*a - 12 = 0, 2*k + a = -6. What is the remainder when 34 is divided by 2\/(k\/3) - (-120)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -2) + -1 + (-60 + 54 - (-1 + 1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-10))\/(2\/(-20)). Suppose y + 16 = 3*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, s: 7}. Give prob of picking 1 y and 1 s.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - j**2 + 2*j**3 + 2*j**2 - 1749*j + 1745*j in the form g*j + v + s*j**2 + i*j**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -1 (c) 3\/2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -563, 108, 1269, 2920?\n\"Answer: 245*t**2 - 64*t - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5121.573 rounded to the nearest integer?\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120*n**3*y - n**3 + 44*n**2*y + 2*n + 142970*y wrt n.\nAnswer: 720*n*y - 6*n + 88*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203421787 to the nearest integer?\nAnswer: 14263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -14.1. Let r = 12.5 - i. Let j = -2\/77 - -87\/385. Which is the third biggest value? (a) r (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ba102 (base 12) to base 6.\nAnswer: -51532402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of (-4 - -853) + -4 + 4 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {m: 5, o: 1, b: 2, g: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196218?\nAnswer: 2, 3, 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/(-12) - 2\/(-6). Suppose -2*z + 4*a = 96, z + 61 = 5*a + s. Let q = z + 107. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81726313?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2201737793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 10:33 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 - 0.15. Let x = 11 + -7. What is the biggest value in x, 1\/4, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 6 - 6 - 3*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18027143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*p**2 + 2*p - 2*p + p**2 - 3 + 3 - 1 + p**2 + 1 - 3*p**2 + 2*p**2 + 3*p**2 + (-4*p + 5*p - 2*p)*(-2*p - 2 + 2).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 3. Let f(v) = 12*v + 10. Let g(n) = -2*f(n) - 7*q(n). Determine g(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*k + 120 = 133*k. What is the hundreds digit of ((-15)\/(-12)*-222)\/((-4)\/k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 805759738191 and -11.\nAnswer: 805759738180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1, -1\/10, 3, 1.15 in decreasing order.\nAnswer: 3, 1.15, 2\/11, -1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567593074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:38 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86*m**2\/3 + 1772021*m\/3 - 61815.\nAnswer: (m + 20605)*(86*m - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*5\/5*-1. Let o be 2*((-14)\/r + 3). Is 1055*(-5 + 4)*o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3015551*t - 4185957 with respect to t.\nAnswer: 3015551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 - 8*f - 36. Let n(d) = 2*d**2 + 3*d + 12. Let q(c) = 3*j(c) + 8*n(c). Let k be q(-6). Calculate the greatest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4))**5*v\/(v*(v\/v**(2\/9))\/v)*v\/(v*v**(-1\/4))*v assuming v is positive.\nAnswer: v**(-487\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -10. Suppose 150 = 2*j + a. Let v = 140 - j. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - 48*z + 5. Let h be f(8). Solve h*v - 3*w = -5*w + 11, -2*v = -3*w - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 26\/5 of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + m**4 - m**4)*(-220 + 41*m + 220) + 3*m**5 + 0*m**5 - 5*m**5.\nAnswer: 80*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5 - 22*o**4 + 66*o**3 - 74*o**2 + 28*o = 0.\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2*z - 18, -1147*l + 1149*l = 4*z for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 3*c**2 + 738 - c**2.\nAnswer: -c**2 + 738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 41305.\nAnswer: 41303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -882, -1774, -2692, -3648, -4654, -5722?\nAnswer: -6864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzrmzzrr. Give prob of sequence rm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101.8 - 102.1. What is the closest to 3 in z, -0.4, -1.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 - 2*b**2 + 5*b**2 as r + v*b**2 + q*b and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-294)\/(-343))\/(-6))\/((-8)\/42*2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -1 - 156\/4. Let f be 0\/2 + c\/(-7). Suppose 5*q + 4 = 3*o, -2*o - 2*q = -6*o + 10. Solve -o*z = -z - f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-3 - 1) - 2) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/3)\/(q\/q**9)*q**(-3\/2)\/q*q*q**(5\/3)*q**(1\/2)*q*q**(-9)*q**5*q**(-9)*q*q assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3*2\/2*621\/4347)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(30\/4)*-2 + 95485\/158200 and 10\/147?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -75. What is the remainder when 237 is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223\/8 greater than 1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 8*u + 4. Suppose 0*v = v - 2*m, 3*v - u*m = 8. Suppose q = -v + 31. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -196, -390, -582, -772, -960, -1146, -1330?\n\"Answer: z**2 - 197*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1566 and 7772.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 9)*(-2*j**4 - 2*j**2 + 2*j**3 + 2*j**2 + (6*j - 3*j - j)*(2*j**3 + 3*j**2 - 3*j**2)).\nAnswer: 16*j**4 + 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677215300.\nAnswer: 2, 5, 2137, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -559\/16. Find the common denominator of (0 - 12\/112)*(-38)\/3 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*2\/6)\/(-1). Let o(i) = i. Let t be o(3). Let r(g) = -2*g + 0*g**3 + 4*g**3 + g**2 - t*g**3 - 1. Determine r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - z**3 + z**3 + (0*z + z + 0*z)*(1 - 1 - 2*z**2))*(-5 + 0 + 0).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 41 + 73 - 32. Let q(s) = 3*s**3 - 24*s**2 + 4*s**3 - 41*s**3. Let y(l) = 2*f(l) + q(l). What is the third derivative of y(k) wrt k?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 minutes before 1:13 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 11*u + 5. Let t = -2883 - -2871. Give f(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3156 + 3160. Let v be 2\/(-7) + (-104)\/28. Which is the second smallest value? (a) v (b) y (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/375 and 7\/18380?\nAnswer: 1378500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142 + 142 - 21*o**3 + 2*o**3 - o + o + (4 - 1 - 2)*(-3*o**3 + 2*o**3 + 3*o**3) - 4*o + 2*o**3 + 4*o - 4*o + 4*o + 2*o**3 - 2*o**3 - 3*o**3 + 4*o**3.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*m = -54*m + 79*m - 732 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 485 and 28436?\nAnswer: 13791460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 divided by -266?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, 2\/9, -303?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6.88 times 2.9\nAnswer: -19.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f + 7346 + 3430 = -509*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = z + 2. Suppose -108 = -k + 5*l, 0*k - 3*k = l - 260. Calculate the greatest common divisor of z and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 2\/60875?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in 16, -6, 57\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)\/y**(-12))\/(y**(-3))**25 assuming y is positive.\nAnswer: y**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1311.6941646 and -0.02.\nAnswer: -1311.7141646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 86, 24, -190, -556?\n\"Answer: -76*d**2 + 166*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1422, 7536, 18358, 33894, 54150, 79132?\n\"Answer: r**3 + 2348*r**2 - 937*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223 a factor of 6119092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1)*(-24)\/176?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 4*m - 640. Is 32 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (17 + 14 + -20 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 take away -564477?\nAnswer: 563843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1 - (1029\/(-70) + 16).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-12))\/((-4)\/(-3)). Sort 2, i, -215.\nAnswer: -215, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1008 - -3491. Let w = -14861\/6 + t. Find the common denominator of w and -6 - -5 - 21\/77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z + 31. Let f be (2\/4)\/(-3*4\/1008). Let p = f - -33. Is o(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2*b**2 + 4)*(0 - 3 + 4) - 5 + 5 - 2*b**2)*(3 + 1 - 13)*(3*b + b - 2*b).\nAnswer: 72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by -13408788\nAnswer: 47\/6704394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 28 - 19 = -4*w, w = 4*x - 12. Suppose 0 = -4*c + w - 0. What is the second derivative of -7*o + 5*o - 3*o**2 + o**c wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i - 9. What is the closest to -1 in i, 1\/10, 1\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/2 - 1\/(-2). Let f = t + -8. List the prime factors of (-27)\/f*2\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44.05028 > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u)**(-17\/3)\/(u**(2\/5)*u)**(-32) assuming u is positive.\nAnswer: u**(587\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -251, -503, -755, -1007, -1259?\n\"Answer: -252*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/505 and 83\/808.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52234 + 54772 = -14*a - 33*a for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 261, 386, 517, 660, 821, 1006?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let x(i) = -10*i - 7. Let g(d) = d. Let u(o) = 2*g(o) + x(o). Let v = -8 - -1. Let r(t) = -3*t - 2. Let m(n) = v*r(n) + 2*u(n). What is y(m(f))?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221 - -95. Is (-2 - -1)\/((-4)\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.86*2201\nAnswer: -1892.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y + 13 + 203 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*a - k - 117, -141 = -5*a + k. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7163*j. Let l(v) = 2*v**2. Determine l(m(b)).\nAnswer: 102617138*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**3 - 4*y**3 + 10*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*2\/(6\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1286386 - -0.6161\nAnswer: 0.4874614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1123, 2246, 3369, 4492, 5615, 6738?\nAnswer: 7861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17257607?\nAnswer: 31, 556697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32466076?\nAnswer: 2, 8116519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 5*j - 2. Let u(d) = 69*d**2 - 2*d + 1. List the prime factors of u(j).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 135 = 0, 370*k + 0*f = 373*k - 4*f - 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017841 rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n + 1. Suppose 0*p + 25 = 2*l - p, 0 = 5*l + 5*p - 25. Let i = l - 9. Let b be w(i). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.31, -5794, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52\/9 + 4\/18. Suppose m - k = -m. Solve 0 = 4*l - m*u + 10, 3*u - 2 - 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3692*c**2 + 3690*c**2 + 33*c**3 + 9 - 5 as u*c**3 + r*c**2 + k*c + l and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -187 (base 15) to base 10\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n - 296 = -10*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2 + i + 21. Let u(b) = 8*b**2 + b + 20. Determine 4*q(o) - 3*u(o).\nAnswer: 4*o**2 + o + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2 - 2*f**2 - 1 + 3 + 25. Let b(o) = 2*o**2. Give b(a(v)).\nAnswer: 8*v**4 - 232*v**2 + 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 3*(5 - 2). Let w = b + -8. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = -3*p - 6, 2*p + 2 = 2*y. Suppose 3*a + p*k = 17, -11 + 0 = -2*a - k. What is the nearest to -2\/5 in 0.2, a, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -x - g, -6*g = 214*x - 216*x - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 - 13 = 2*z + 3*b, -2*z = -2*b - 194. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-2)\/66)\/((-64)\/48). Let h = 91\/132 - t. What is the nearest to h in 0.5, -4\/5, 1\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004806515 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-7) + 5764\/308 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19915.6619 take away 52?\nAnswer: 19863.6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.92 in -0.4, -4, -5\/4, -0.04?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4142323 is divided by 514?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4543 + 13627\/3. Let h = 0.7 + -0.5. What is the nearest to -2 in -7, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = -2*m. Suppose -3*j + 2*q + 7 = 0, -11 = -j - 5*q + 14. Suppose -47 = j*o - 17. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, t: 1, l: 1}. What is prob of picking 3 n and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 385 - r**3 - 128 - 130.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.3 + -5.7. Let y = s + 46. Let c = y - 19.01. Sort c, 2\/5, 3 in ascending order.\nAnswer: c, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3779*h**3 + 11 wrt h.\nAnswer: 11337*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -9. Let y = 108.4 - 841.4. Let m = y + 733. What is the closest to -0.1 in m, -5, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -567 + 573. Which is the fourth biggest value? (a) 0.4 (b) -3 (c) o (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-5) - (-26)\/65. Let x = -73 + 77. Suppose 3 = x*p - 7*p. Sort 4, p, -2, u in descending order.\nAnswer: 4, p, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33524820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 - 1 + 1)*(205*w - 55 + 24 + 34) in the form r*w**4 + x*w**2 + l*w + j + v*w**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-6 - (-8 - -7)) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -2.7. What is the closest to 0 in -0.04, u, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24516 is divided by 1766.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -37\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -41. Suppose 0*w = -3*w + 45. Suppose 5*a - w = 3*f, 0 = -9*f + 13*f + 20. Put 1, a, -2, z in increasing order.\nAnswer: -2, a, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1011470 and 57482?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33282 + -7?\nAnswer: -33289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2937 - -3000. Calculate the greatest common factor of p and 4977.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m**3)*(21060 + 24393 - 40199).\nAnswer: 5254*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397*k + 394*k - 84*k**2 - 91*k**2 + 45*k**2 to the form s*k + u*k**2 + q and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**3 + 3*o**2 - 3*o - 3. Let a(j) = -32 + 4*j**2 - j**2 - 32*j + 9*j**2 + 76*j**3 + 20*j**2. Determine 3*a(s) - 32*c(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 8\/1 - 3. Find the second derivative of 17*r + 4*r**3 - 3*r**v - 13*r wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k - 4*s = -14, 3*s = -2*k + 12. Let p = 5 + -4. Let c(a) = a**2 + 1 + p - 4*a - a + 0*a. Calculate c(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27 - -3)*(-8)\/(-20). Calculate the remainder when 41 is divided by 7\/((20\/i)\/5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 22 - 128. Let g be -2*6\/f - (-257)\/5. Calculate the highest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -37 - 11*u + 58 - u**2 - 37. Let p be r(-9). Let w = -0.33 - -17.33. Is w less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 44*q - 40*q - 48*q - 58*q + 174*q.\nAnswer: -16*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 4. Let y(b) = -2*b**3 - 7*b**2 - 5*b + 1. Is y(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7419804.31 to the nearest 100000.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -25. Calculate the remainder when 15 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -13a5?\nAnswer: 13a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8897 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 2*g**5 - 3*g**3 + (-4*g + 0*g + 3*g)*((g - 5*g + 6*g)*(2*g - 3*g**3 - 2*g) + 2*g**4 - 2*g**4 - g**4).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1057 - -1854. Suppose 0 = 6*f - n - 4249. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 - (13 + 19)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 - -13)*4\/(-6). Suppose 522 = s*z + z. Suppose -2*l + z = l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - -2*3*18\/27. Suppose -2*b = -i + 141 + 184, 0 = 4*i + 3*b - 1333. Let t = z + i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7224 - 7224 + 2443*s**2 + 0*s + 0*s to h*s**2 + w + z*s and give h.\nAnswer: 2443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.18. Let i = 0.79 - 0.8. Let m = i + a. What is m rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = f + 3*f - 32, -3*h + 3*f = -36. Let u be 3\/h*2*85\/17. Suppose -u*k + 568 + 59 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2*a + 3*a)*(-465569 - 68*a + 465566 - 10*a) as p*a + l + b*a**2 and give b.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -2 (c) -0.2 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28701 (base 11) in base 4?\nAnswer: -21331022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - 1 + 0*r**2 + 1 - 2*r + 10*r**4 + 6*r**3 + 3*r**2 in the form z + d*r + t*r**4 + b*r**3 + q*r**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -28. Let n = k - -33. What is the remainder when n is divided by (2\/(-4))\/((-62)\/1178)*2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 20 = 0, 4*w - 16 = -4*q. Let s be 6\/(-15)*30\/2. Let o be (-30)\/s - 4\/2. Solve -o*v + w*v - 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396262544, 792525088, 1188787632, 1585050176, 1981312720, 2377575264?\nAnswer: 2773837808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42867331 + -0.4286. What is q rounded to 6 dps?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*k + 16 = 0, -4*k - 50 = 1021*w - 1012*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4105*p**2 + 1647 wrt p.\nAnswer: 8210*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5a (base 12) to base 3.\nAnswer: -11102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 72. Let x(q) = q**2 - 152*q + 594. Let s be x(148). Let h = 9 + -5. Solve s*k + 2*k + 5*d - p = 0, -h = k - 2*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:37 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1495 and 595792.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 131*a**2 + 5*a + 4. Let n be s(-2). Suppose n = -5*x + 2763. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0268? (a) -156 (b) 0.09 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2625 + -2372. What is the remainder when c is divided by 243?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23822 or -8177?\nAnswer: -8177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -32. Let z = -31 + 51. Let s = z - v. What is the third biggest value in 0.1, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 13*d. Let m be z(-3). Let g = 5 + -28. Let h = g - m. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -y - y. Suppose 2*g = -4*g + 564. Suppose -g = -5*l - 3*a, 2*l - 68 = -l + 4*a. What is the remainder when y is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-19 + (3 - (4 - 2)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -881849*y**4 - 27*y**2 + 2604*y + 10 wrt y?\nAnswer: -21164376*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1548*d + 3140*d - 1611*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - l - 1. Let m be a(-2). Suppose 2*y + m - 41 = 0. What is the least common multiple of y and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20210110202 (base 3) in base 9?\nAnswer: 223422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(25\/(-15) - -1). Let s(d) = -4*d**2 - d**2 + 4*d**t + 0*d**2. Let w(q) = q + 7. What is w(s(n))?\nAnswer: -n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 73*w**6\/15 + 193*w**4\/6 - 642*w**2 - w. Find the second derivative of r(o) wrt o.\nAnswer: 3504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) -2 (c) 11 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 44*c + 565. Let x be j(-13). Let i(w) = w**2 + 7*w - 16. Let p(t) = t**2 + 5*t - 11. What is x*p(k) + 5*i(k)?\nAnswer: -2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -0.4, -1\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17405893 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 241*t + 2718. Determine u(-131).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:13 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m**2 - 12*m + 1. List the prime factors of a(5).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(-4122 - 141*d + 4122) - 12 + 29 - d - 12 to j + q*d and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -934087\nAnswer: 20\/934087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 4*m + 2. Calculate the remainder when 2\/(1 - (-4)\/(-12)) is divided by y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 3. Let q(c) = -4*c + 10. Let m(w) = 3*q(w) - 10*x(w). Let b = -8 + 9. Let y(n) = -b + 3 - 11*n**2 - 2. Give y(m(l)).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:38 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 17, 34, 53?\n\"Answer: t**2 + 12*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -28769 and -6475 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 + 3*j. Let o(m) = -6*m**2 - 4*m. Let t(r) = -r**2 + 9*r + 7. Let h be t(10). Let k(l) = h*o(l) - 4*s(l). Let u(y) = y**2. Calculate k(u(w)).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/(-2)*(-13 - -11). Let f(r) = 4*r - 16. What are the prime factors of f(u)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 6. Let v be h(-4). Let i be 366\/3 + 2\/v. Suppose 2*b = i - 37. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -50*c + 113*c - 19 - 59*c. Let k be n(4). Let f(p) be the third derivative of -p**6\/120 - p**5\/60 + p**4\/24 - p**3\/6 - 4*p**2. Calculate f(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11681558939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 5*p**2 - 74*p - 24. Determine o(-6).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1\/4)\/x)\/x)**(-17\/5))**(-46)\/((x\/x**(2\/5)*x*x**(2\/11)*x)\/(x*(x*x**(-2\/7))\/x)**(-11\/5)) assuming x is positive.\nAnswer: x**(-153887\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9201017897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 62?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z = 20*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3912 + 8889. List the prime factors of u.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3963 and 3.\nAnswer: 11889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16193612003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-60))\/((-9)\/(-60)*5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -100, -98, -98?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -1a?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + sqrt(68)*1*1)\/((-2*sqrt(20))\/sqrt(5)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 4*m, -4*t - 13 = -m + 3. Suppose -9 = 6*i + 2*l - 17, -4*l = 4*i. Solve i*u + 10 = -m*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 1 + 4*u - 1 - 4.\nAnswer: 4*u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 5697*a + 2 - 5577*a - 2*a**6 + 137*a**3 + 2*a**2 wrt a?\nAnswer: -240*a**3 + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and -19300.4929977.\nAnswer: -19299.6929977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33001 + -32998. Let n = 5 - 4.6. What is the closest to -0.1 in -0.1, b, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 33202\nAnswer: 3\/33202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -1, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 371*s**5\/15 - 547*s**4\/24 - s**3\/6 + 2235*s**2. Find the second derivative of m(b) wrt b.\nAnswer: 2968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*j - 13 - 8, -2*j + 3*i + 23 = 0. Suppose 4*z - l = 7, 6*z - j*z - 5 = -l. Suppose z*n = 19 + 117. Calculate the remainder when n is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3577 - -7159\/2. What is the second smallest value in 3, a, -0.16?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a factor of 882236290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -13, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 680*o**2 + 28208*o - 59168.\nAnswer: 4*(o - 2)*(o + 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8 - (-6)\/(-8). Let z = 5745 - 5736. Suppose -20 = 3*f - 8*f. Solve -3*l - a - z = q, l + f*a - 4 = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 + 130. Let d(f) = f**2 + 8*f - 61. Does 26 divide d(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:06 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 2.1 (c) 43.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 36118 (base 9) to base 2\nAnswer: 101111001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36849430 divided by 18424715.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15473993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4780 + 4779.2. Which is the nearest to 2\/5? (a) -38 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let v be (15\/90)\/((-2)\/(-6)). Which is the closest to x? (a) 3 (b) -5\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -441*w + 445*w + 3*b - 3, 6 = 5*w + 3*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + q + 1. Let y(o) = -3*o**2 + 2*o - 1. Calculate 2*p(d) - y(d).\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from cvvqiqiqcihbhcch?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 12:12 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**5\/7 + 598*k**4\/7 - 9434*k**3\/7 - 4198*k**2\/7 + 62352*k\/7 + 56520\/7 = 0.\nAnswer: -314, -2, -1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.32, -4\/5, -1.018?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1652 = -b, -588*j - 1701 = -b - 591*j. Which is bigger: 1678 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvddvndvdttddntdnn. Give prob of picking 1 n and 2 d.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2212*v**3 + 10973*v - 10973*v)*(2 - 3 + 0).\nAnswer: 2212*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (3 + -4)) + 4044 + -4133?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 - 1 + 0 - 3*h**2. Let a = -23 + 28. Suppose 4*j - a*f = -0*j + 1, -3*f = 5*j + 8. Give s(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a111019 - 4?\nAnswer: 15a111015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.626 and -0.82.\nAnswer: 1.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408624.4ug to grams.\nAnswer: 0.4086244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14926446 * 0.1.\nAnswer: -1492644.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:39 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(6)\/sqrt(3)) - (sqrt(1700) + (1*sqrt(1700) + sqrt(1700))**2 - sqrt(17)).\nAnswer: -6800 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -13.8 (c) 4\/10003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300266 (base 7) in base 11?\nAnswer: -185858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.1, -1\/15, -4\/5, 17?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 318*i + 1 - 1 - 320*i. Let l(v) = -22*v + 9*v + 5*v + 7*v. Calculate n(l(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(25\/(-30)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 13 - 13 + u**4 - 7 - 7*u**2 to b*u + v + d*u**2 + t*u**3 + g*u**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337 - 769. Let x = r - -1881. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 53566\nAnswer: -12\/26783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-99))\/(12\/9)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 2)\/((-4)\/(-50)). Suppose -r - 4*h = -212, 415 = 24*r - 22*r + 5*h. Calculate the greatest common factor of j and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*p**2 - 25*p - 198 = 0. Calculate p.\nAnswer: -66, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/28, 2, -3\/7, 0.5 in ascending order.\nAnswer: -3\/7, 3\/28, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**4 - 3*l**3 + 3*l**2 + 5. Let g(s) = 8*s**4 + 4*s**3 - 4*s**2 - 5. Let b(x) = 3*g(x) + 4*t(x). What is the first derivative of b(u) wrt u?\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35342 + 12*t + t + 35344 - t + 0*t.\nAnswer: 12*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5 + 20*j**4 - 206*j**3 - 224*j**2 = 0.\nAnswer: -16, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:08 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2. Let x(w) = 4*w. Let r(u) = -5*u. Let a(i) = -3*r(i) - 4*x(i). Let b(y) = 24*y. Let n(h) = -12*a(h) - b(h). What is n(g(l))?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -16. Suppose -3 - 7 = p - 3*b, -4*p = n*b - 30. Solve -p = 2*d + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11279*n + n**3 - 16894*n - 19118*n + 839*n.\nAnswer: n**3 - 46452*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/72 and -14\/225.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1932 and 14190264?\nAnswer: 99331848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a**3 + 5*a + 3. Let q be b(-3). Suppose 0 = 5*h + 16 - q. Let j = h - 15. What is the highest common divisor of j and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13800 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11994856 divided by -4?\nAnswer: -2998714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*t + 2*t**2 + 2*t + 0*t)*(-6 - 3 + 6) as b*t + g + y*t**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2109 (base 15) to base 7.\nAnswer: -26235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = z - 4*z. Calculate the lowest common multiple of z and -3 + 15 + 1 + -6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z + 2 + 0*z + 2 - 3. Suppose -7 = -5*j + 4*v - 2*v, -j + 3*v = -4. Let s be y(j). Which is greater: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, z: 6, g: 1}. What is prob of picking 1 b and 1 z?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k**3 - 40*k. Let t be (-14 + 396\/24)*6\/5. Let p(v) = -6*v**3 + 13*v. What is t*u(i) + 8*p(i)?\nAnswer: 3*i**3 - 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 15. Let x(t) = t + 7. Suppose -46*s - 845 = 19*s. What is s*x(q) - 6*r(q)?\nAnswer: -7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8621447 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*r**2 + 89*r**2 + 26*r**2 + 10*r + 21*r**2 to l + m*r + n*r**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6901112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 212\/1113*((-5)\/(-10) - 2). Let v = 0.2 + -0.2. Which is the third biggest value? (a) v (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.666 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i - 90. What is the remainder when t(9) is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9539430, 9539434, 9539452, 9539490, 9539554, 9539650, 9539784, 9539962?\n\"Answer: x**3 + x**2 - 6*x + 9539434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 56396909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6360989.\nAnswer: 6360989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 4*k. Let g be s(4). Let z be 24\/(-48)*(-1 - 5). Suppose 0 = -g*n + z*n - 9. Solve 8*b - n*b = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253313 minus -296?\nAnswer: 253609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24500 - -12?\nAnswer: 24512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -406.6 + 470. Let a = o + -6.4. Let n = a - 57.3. What is the closest to 0 in 2, -1.8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(1*(-3)\/6). Let h be (1\/j)\/(10\/(-40)). Differentiate -6 + 2 + 0 - h*y + 0*y with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011111110110110100011001 + 11?\nAnswer: -111011111110110110100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 9) in base 5?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3726 - 96.314101\nAnswer: 3629.685899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9588582 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: Suppose -2*i**4\/5 - 246*i**3\/5 + 12638*i**2\/5 + 246*i\/5 - 12636\/5 = 0. What is i?\nAnswer: -162, -1, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/((-4)\/1528))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 0*w**2 + 4*w**3 - 92431 + 92931 - 2*w**3 as l*w**2 + b*w + s + m*w**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 12323?\nAnswer: -13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 58. Let o be (5\/(-3))\/(15\/(-54)). Suppose -o*d + y = -d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = 5*k. Let d(o) = -1. Let s be (64\/192)\/(1\/(-36)*-2). Let w(a) = -s*a + 32*a - 6*a - 19*a + 1. Calculate k*d(u) - 2*w(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685*d**4 - 215765*d**3 - 4998855*d**2 - 28005175*d - 407770 = 0. What is d?\nAnswer: -11, -2\/137, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 10:47 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 283 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5\/5 - 44*s**4\/5 - 156*s**3\/5 - 244*s**2\/5 - 176*s\/5 - 48\/5 = 0 for s.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - 88\/(-20). Suppose -3*z + 6 = t*y, 4*z + 5*y - 4 = 2*z. What is the remainder when 5 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -38*h**2 + 4. Let o(u) = 39*u**2 - 3. What is 2*o(a) + 3*p(a)?\nAnswer: -36*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose 4*b - 20 = 4*j, -3*b + 7 = 2*b + j. Solve -d*k - 14 = -2*a - 0*k, a = b*k + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972*j + 15586 + 9796 + 50434 = 0 for j.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 36*c**2 + 2*c - 68. Let y be q(-36). Which is smaller: -137 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*y + 11724 = 48*y - 277*y - 250*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38033, 59841, 81649, 103457, 125265, 147073?\n\"Answer: 21808*q + 16225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - -5*78\/(-120)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49.98 - 48. Let r = 3.29 - a. What is r rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (85\/(-15) - -6)\/((-4)\/12). Let h be (-2 + (b - (-4)\/1))*1. What is the fourth smallest value in 30\/7, 0.1, h, -2?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 60 + 36. Let o be (-4 - 1)*v\/(-20). Let a = 17 + o. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*-1)\/(2\/(-4)). Suppose 23 = q*d - 9. Let u = -5 + d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(75) - (sqrt(75) + -1)) + -1 + ((sqrt(75) + 1)*-2 - sqrt(75)) - ((sqrt(75) - (1 + sqrt(75) + 5 + sqrt(75))) + 1)) + 1))**2.\nAnswer: -2880*sqrt(3) + 11376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79249012*l**5 - 5197750*l?\nAnswer: 1584980240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7145\/2331 - -5\/518. Calculate the common denominator of 79\/2 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + 19.2.\nAnswer: 19.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1384, -4?\nAnswer: 1384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + -1*(-1 + sqrt(20)) + ((sqrt(50)*1)\/sqrt(5))\/(sqrt(162)*-1)))**2.\nAnswer: -304*sqrt(5)\/3 + 18884\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8*(-48)\/21*7. Solve 4*n = v + m, n = 2*n - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 8*d - 2. What is z(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 3*k - k)*(8541*k**2 + 974*k**2 + 4327*k**2) in the form n*k**2 + w*k**3 + l + v*k and give w.\nAnswer: -27684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3026 - -4528. Calculate the remainder when d is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, b: 1, v: 6, y: 5}. What is prob of sequence ryrr?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215012?\nAnswer: 2, 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 136766299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {t: 7, f: 4, z: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:32 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - c = -87, -3*y - 2*c = -50 - 34. Suppose -3*o - 2*o = -y. Suppose -7 - 17 = -4*n. What is the lowest common multiple of n and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + v - 1. Suppose -4*z + 5 = -3. Let m be 63\/49 - z\/7. What is f(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 7, n: 2}. What is prob of picking 1 d and 3 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/18*27*210\/(-378)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2 less than 343?\nAnswer: 349.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/345*-5*((-84)\/(-18))\/7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002684 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-10)*652\/3912*90\/(-1)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/4*l**4 - 47 + 2*l**2 + 0*l**3 - 3\/4*l**5 + 0*l. Find the second derivative of d(i) wrt i.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-1))\/((-18885)\/(-65468)))\/((-2)\/3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8*(-1 + 2). Let j(h) = -h**3 - 4*h**2 + 4*h - 9. Let b be j(-5). What is the closest to t in -0.4, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -85 + -4?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.98 - -0.02. Let x = i + -6.04. Let a = x + 0.24. Is a != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 404, -74, -16.\nAnswer: -74, -16, 0.08, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 223*m**2 + 7*m - 152. Let y(f) = 223*f**2 + 8*f - 183. Give -6*p(v) + 5*y(v).\nAnswer: -223*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9594476 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = f - 67 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -405 + 406. Suppose -t + 0 = 2. Which is the nearest to 0? (a) t (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*a + 64. Suppose a = 6*z - 2*z - 4*f, f + 45 = 4*z. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-52) - ((-74)\/4 + -1). Suppose -5*c + 2*h + n = 0, -2*h - 9 = -3*c + 7. What is the greatest common factor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-56)*-2*35\/(-120)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*50.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23722 + -4080149\/172. Let q = 2\/43 + h. Find v, given that 1\/4*v**3 - q*v - 1\/4 + 1\/4*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 2. Suppose 3*r + 270 = -5*t, -3*r + 3*t - 2*t - 270 = 0. Suppose -19*z + 12*z + 665 = 0. Let n = r + z. Determine j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -25386395?\nAnswer: 25386394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14\/9 - 11\/9. What is o in 3 - 2*o + w*o**2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 24712 + 49431 + f**2 - 24719 - 24*f**3 + 2*f**2.\nAnswer: -24*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {r: 6, g: 2, x: 2, v: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/15 (b) 2\/13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1488\/2108)\/((-18)\/(-68)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2143796 take away 75?\nAnswer: -72.7856204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -824.0423 - -824. Let p = h - -0.2693. Let u = p - 0.027. Which is the biggest value? (a) u (b) 5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*n = -63*n + 20. Let i be (2 + -1)*(4 + 1). Suppose -n*q - 5*z + 23 = 0, 0 = 2*q - 4*z + i*z - 11. Solve -2*w - k = -5, -3*w + 20 = -q*k - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 + 88.43. Let s = w + -4.43. Let y = 232 + -234. What is the closest to -1 in -0.01, y, s?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*v + 283 = -5, 0 = r + 2*v - 104. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q + 1. Let y(b) = -4*b**2 - 3*b - 3. Determine 8*g(m) + 3*y(m).\nAnswer: -4*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1678011 divided by 20217\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, -4, 1, 8, 17, 28?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and 11.\nAnswer: -25.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 99*a**2 + 80 + 86 - 53*a**2.\nAnswer: -152*a**2 + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 4*a - 35 + 17, 0 = 3*b - 7*a + 22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (2*sqrt(170) - sqrt(170)))\/sqrt(10) - ((4*(-1 + sqrt(17)) - sqrt(17)) + sqrt(17) + sqrt(17))**2.\nAnswer: -441 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 17 + 79. Suppose 48 = u*g - 8*g. What is the smallest common multiple of 0 + 5 + 4*g\/24 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n + 271 = -30*n + 839. Let w = 2 + 7. Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 342 (b) -163 (c) 1\/8 (d) 2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q = 29*q + 100. Let d = 173 - q. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 + 11*c**3 + 25*c**2 + 13*c = 0. What is c?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.742984ml to litres.\nAnswer: 0.006742984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1045*b**2 + 535*b**2 - 1023*b**2)*(b + 2*b - 5*b) as y*b**2 + a*b**3 + o*b + s and give a.\nAnswer: 3066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 - 0.1. Let j be 0\/6 - 105\/(-4). Let d = j + -26. Which is the third biggest value? (a) 2\/3 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-342)*18\/(-20)*5. What is b in 0*b - y*b**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-7)*2*(-23)\/((-5888)\/(-224)). Which is the closest to -2\/7? (a) u (b) 0.5 (c) 2\/635\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 36*l**2 - 555*l - 4135. Determine s(-18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 415\/7 - (-2)\/(-7). Let c = j + -33. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5898, 10763, 15628, 20493?\n\"Answer: 4865*v + 1033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*p + 13*p**3 + 9*p**3 + 15*p**3 - 27*p**3 + 597*p.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1309 - -31441\/24. Calculate the common denominator of n and 10\/(-75) + (-439)\/(-105).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 9 - 11 = -4*l, 46047*l = 46052*l - 7*r - 115 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdwdtttdwttdddt. Give prob of sequence wt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r - 65*r + 13*r + 2.\nAnswer: -91*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.1, -7\/6, 0.2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - l + 38, -5*l = 4*f - 75480 + 75450 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j + 4. Suppose 0*k - j*y - 3 = k, -2*k - 5*y = 10. Let w = -188 - -192. Solve 3*z - 6 = k*m, w = m + 2*m + 2*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 13*y = 588. Suppose 32*q - y = 30*q. Calculate the highest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -453, -1442, -2409, -3342, -4229, -5058, -5817?\n\"Answer: 2*j**3 - j**2 - 1000*j + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**2\/2 - 2. Let u be r(1). Solve -3*y + 11 + u = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3 - 5464*g**2 + 32846*g - 27380 = 0.\nAnswer: -2738, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 25065396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 - 32*l - 6*l - 18*l**2 - 4*l.\nAnswer: 7*l**2 - 42*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 17. What is the third derivative of g*o**4 - o**2 + o**5 - 619*o + 0*o**2 + 617*o wrt o?\nAnswer: 60*o**2 + 1176*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -64\/9*c**2 + 50 - 7\/9*c**4 - 116\/27*c**3 - 16\/9*c. Solve o(x) = 0 for x.\nAnswer: -2, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-8))\/(93\/(-124))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536666 (base 7) to base 16.\nAnswer: 16dc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 13 = 5. Suppose 0*b = -3*b + s. Solve -5*q = b + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 57 = -21*r + 149 + 69 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.9 - 38.2. Sort -4, -1\/6, h, -2\/17.\nAnswer: -4, h, -1\/6, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from qqsssqsshhqssyshqsds.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 20*j - 25. Let u be c(-20). Let l = u + 105. Suppose 4 = -2*t, l = 2*n - 0*t + t. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25976.727 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 581379.3 hours in seconds?\nAnswer: 2092965480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 15*o - 684. Calculate the least common multiple of o and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 2346.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2400, -9605, -21612, -38421?\nAnswer: -60032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 b when four letters picked without replacement from {u: 3, b: 2, f: 13}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*x + 8*x + x + (-5*x + 2*x + x)*(-4 + 1 + 2) - 3*x - 4*x - 2*x)*(-3 + 2 - 1 + (0 - 6 + 4)*(-2 - 3 + 3)) in the form w + b*x and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 73*p**4\/12 - 54*p**2 + 81*p - 9. Let s(m) be the first derivative of a(m). Differentiate s(o) with respect to o.\nAnswer: 146*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 3*o + 5. Let x be (-5 - -1) + -1 + 8. Let m(v) = -2*v**2 - 3*v - 6. What is x*m(a) + 4*i(a)?\nAnswer: -2*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n - 145. Let m(o) = 15*o - 142. Calculate -3*m(i) + 4*u(i).\nAnswer: 7*i - 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4899859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2883*j + 73 = 2885*j + d, -198 = -6*j + 4*d for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 762 divide 12340920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 7. What is the smallest common multiple of 429\/22 - 2*(-1)\/4 and x(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3900 = -3782575*m + 3782627*m for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kook when four letters picked without replacement from {k: 5, o: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.16383 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**3\/3 - 3*v**2\/2 + 4*v - 15. Let y be l(3). Suppose y*a = 2*a + 30. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/7 - 5317596*a\/7 - 1519312 = 0.\nAnswer: -2658796, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - l + 9. Let v be q(0). Let p = v + -7. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-4*o - 15*o - 8*o).\nAnswer: 54*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -44*o**2 + 0*o**4 + 0*o + 0*o**3 + 0 + 0*o**7 + 1\/120*o**6 + 0*o**5 - 1\/336*o**8. Find z such that n(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 - -1)\/(8\/(-28 + 4)). Suppose 3*y = 42 - l. Solve 12 + 3 = -y*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/432*10*(-18)\/(-4)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 9 - 14 + 4 + 3*b**2)*(0*b**2 - b**2 + 0*b**2).\nAnswer: -3*b**4 - b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*b - 43*b = 430*b - 37991886. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 3. Let c be m(1). Let j(v) = c*v + 4*v - 4*v + v. Let s(p) = -6*p. What is s(j(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001 (base 2) in base 8?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 485449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 722720893 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 756769609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 51985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foftokf. Give prob of picking 1 k, 1 f, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwwhswfwwsshwhwtww. What is prob of sequence tw?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -17*i**3 - 336*i**2 + 344*i - 6. What is l(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 7?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/4)\/(1*2\/(-24)). Suppose -4*q + 69 = 2*b - 129, 5*q = 5*b + u. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 2779992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/347 and 22\/14227.\nAnswer: 14227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78398\/5 + 15602. Is 1 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -0*u - 4*u - 16, 26*j - 22*j + 3*u + 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqbcehbueeece. Give prob of picking 2 e.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120 - -127. Suppose -2*g - 25 = -i*g. Suppose -g - 40 = -3*h - 3*y, h + 2*y - 10 = 0. What is the highest common divisor of 140 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - (-248)\/12. Suppose -4*p = p + 10. Let v be p + 1 + 4 + -1. Solve -d = -4*i - r, v*d - i - 10 = i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245818, 245763, 245610, 245311, 244818, 244083, 243058?\nAnswer: 241695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4336.9 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*t**2 - 2*g**2*t + 39*g**2 - g + 804*t + 15 wrt t?\nAnswer: 4*g**2*t - 2*g**2 + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/220? (a) -0.1 (b) 1\/9 (c) 0.04 (d) 0.0834\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1379 - 1410.45. Let d = t + -0.55. Let x = 28 + d. What is the third biggest value in 0.4, x, 2\/25?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 16016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*i**2*k**2 + 89*i**2 - 105*i*k**4 wrt k.\nAnswer: 18*i**2*k - 420*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13130756*z**2 + 13123014.\nAnswer: 26261512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4\/5 (c) 2\/113 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -54. Suppose -5*l + 2*l = -c + 62, g*c - 104 = l. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250703335 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*a - 578 + 564 = 2*a - 3*c, 0 = 41*c for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065.527 micrometers in centimeters?\nAnswer: 0.3065527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 14) in base 15?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from {u: 1, r: 1, a: 4, l: 1, d: 4, v: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242 + -242. Suppose c = -4*n - 3*n - 4*n. Solve -4*u + 4*h + 19 = -u, -u + 4*h + 17 = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 3404*c + 20358. What is o(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3320340 divided by 15\nAnswer: -221356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*c - 568, 4*c - 126 = v + 82. Let j = 99 - v. Let o = -160 + j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 7*m**2 - 1. Suppose -7*f - 28 = 5*k - 6*f, f = -4*k - 22. Let o(g) = 4*g**3 + 13*g**2 - 2. Determine k*o(v) + 11*i(v).\nAnswer: -2*v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 76. Let b be (c\/6 + (-6)\/9)\/1. Solve 2 + b = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*l + 6 = 421*l. Is -3\/181 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/176 + -1\/176. What is the third smallest value in o, 25\/2, -1?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 22*u - 100. Determine h(-20).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3 + 12*w**2 - 74*w - 180 = 0.\nAnswer: -9, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 80 = 10*c. Let p be ((-4)\/((-16)\/3))\/((-2)\/c). Solve 20 = 5*b + 4*s, -5*b + 20 = p*s + 2*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*l + 120 = -2*z, 5*z - 4*l = -200. Let n = 198 + z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 91 = -34. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-544)\/187 + -2 - 1\/11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + -122a5?\nAnswer: -1232a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-49)\/(-4))\/1)\/(-19 + 452383\/23808)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - ((-764)\/16 - -2). Let a = i + -45. Is 0.5 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7046 and 0.5049?\nAnswer: 1.2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - (-4417)\/14)*(5 - 3) is divided by 219?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-18))\/((-2)\/(-30))*426\/(-284).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 438703115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54178 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: Let t = -20\/3 + 254\/39. Let j = -18 - -23. What is the second smallest value in t, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 10*f**2 - 142*f + 281. Determine h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 63\/4, 3, 3\/31, 158 in descending order.\nAnswer: 158, 63\/4, 3, 3\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31186, -31221, -31262, -31309?\n\"Answer: -3*s**2 - 26*s - 31157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 113?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 11. Let x be 54\/8 - 3\/(-12). Let o be w(x). What is the third derivative of -4 + q**2 - q**4 + o wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from dkkkdk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16302.\nAnswer: 2, 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 - -1101011111?\nAnswer: 1101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7584)\/80896 + (-1)\/(-32).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416554 is divided by 532?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 1496 = 8*s. List the prime factors of s.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkkwwwookwww. Give prob of picking 2 w and 2 o.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) -3\/2 (c) 13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30033331 + 11?\nAnswer: 30100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 10:16 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 120 - 9*r + 1\/2*r**2. What is o(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*i**2 - 2*i**2 - 15*i**2)*(2 + i - 2) + (3*i + 3*i + 4*i)*(-i**2 - 2*i**2 + 8*i**2) in the form o*i + c*i**2 + j*i**3 + u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 3*q**2 + 0*q**3 + 0 + 6*q + 1\/12*q**4 - 1\/20*q**5. Calculate z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21118, -21088, -21038, -20968, -20878, -20768, -20638?\n\"Answer: 10*d**2 - 21128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -825 by 1.\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1220, 2449, 3686, 4931, 6184?\n\"Answer: 4*j**2 + 1217*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-14) + 1\/(16\/147)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.5 (c) 4 (d) 143 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4604220008 rounded to 5 dps?\nAnswer: 0.46042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 v when four letters picked without replacement from zvvvzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-50)\/(-4)*-2. Suppose 0 = 3*o - 0*o. Let n = o + j. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4325 = 4*c, -3*c + 2595 = 3*o - 5*c. Suppose 2*z - j + o = 0, 3*z + j + 1715 = -z. Round z to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -132.62. Let u = i - -0.315. Let x = -0.065 - u. Which is the second smallest value? (a) x (b) 3 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15180 - -98?\nAnswer: -150c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942311523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/176*-28)\/(552\/1012)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/9)*f*f)\/f)**(-2\/71)\/((f*f**(6\/5)*f)\/(f*f**(-1\/7)\/f)) assuming f is positive.\nAnswer: f**(-75113\/22365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2687432?\nAnswer: 2, 11, 30539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 313*u + 49*u + 3146 = 0. Solve u*p = 24*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:44 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f + 96. Let y be l(-7). What are the prime factors of 4 + (-27)\/(-2)*(-24)\/y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) 0.1 (b) 3 (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24\/3116665?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15)**(-3\/28)*(o*(o*o**(-3\/5))\/o)**(-6\/7) assuming o is positive.\nAnswer: o**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*y + y. Suppose y*v - u - 2 = -4, 3 = -3*v + 5*u. Suppose k - 1 = 0, 5*n - k + 1 - 10 = 0. Put 1, v, n in descending order.\nAnswer: n, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*k + 5 = -2*k, 0 = -k - 3. Suppose -312 = 3*w - f*w. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15887.3 to the nearest 100.\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 138*v - 111. Let l = 220 - 212. Is b(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 26.3. Let p = u + 0.3. Is -1\/56 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 892*r**3 - 519.\nAnswer: 2676*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88656449299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2 = 3427*l - 3408*l, 0 = b + 5*l + 12 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.369 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Suppose 24 = 4*y + 4. Let m(r) = r**2 - 6*r + 6. Let f be m(5). Let t(q) = -6*q + 3. Give f*t(d) + y*z(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (340\/(-816))\/((-6)\/16).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -5, 5, -3472 in descending order.\nAnswer: 5, -5, -86, -3472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(21)\/sqrt(7)*-4.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 2\/19, 1965\/8, 2\/7.\nAnswer: -3, 2\/19, 2\/7, 0.5, 1965\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200.3, 31, 1, 0, 1\/9, 14.\nAnswer: -200.3, 0, 1\/9, 1, 14, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -13 + 18 + 3 + -3 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 87 = 41. Let r be 1 - (i\/(-4) + 4). Which is the second biggest value? (a) r (b) -0.4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8090 > -8090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 2*p. Suppose -p*j = -8 - 22. Is (-2 + j\/9)*-57 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -61834526.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 6 - 6)*(-6*p**3 + 13*p**2 - 13*p**2).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*m + 1244 = 0, 2*a = 4*a + 2*m + 1256. Let z = 1951 - 2890. Let u = a - z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5591 - 5581. Solve -15 + q = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/60*-100)\/((-26)\/(-39)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g - t - 1, 5*t = -3*g. Suppose 15 = -3*o - 0*o. Sort 0, g, o.\nAnswer: o, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13637.89 weeks in nanoseconds?\nAnswer: 8248195872000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -153, 90, 429, 864, 1395, 2022?\nAnswer: 2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*i + 5*y, 2*y - 2 = i + 1. Suppose -2 - i = -f. What is the second derivative of -3*n**f - 2*n + 4*n**5 + n wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 5*c - 4*c - 8 + 9*c + 3005*c**2. Is n(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0.5, -1613, -14, 0.4 in descending order.\nAnswer: 1, 0.5, 0.4, -4, -14, -1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.98 + -3.98. Which is the nearest to 0.1? (a) 1\/2 (b) 5 (c) 4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 2*d - 3*d + (0*d + 0*d - 2*d)*(1 + 3 - 6) - 2*d - 2 + 2 + 61*d + 82 - 82)*(-2*d + 0*d + 3*d) to r + i*d**2 + u*d and give i.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-83)\/166)\/(2\/((-384)\/(-40)))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/((-2550)\/(-636) + -4). Is o\/(-1)*(-9)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20376*v**4 - 2*v**3*x**2 + v*x - 3*x**2 - 2073938*x wrt v?\nAnswer: 81504*v**3 - 6*v**2*x**2 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + 3*(-1 + sqrt(833)) + sqrt(17) + 2*(sqrt(17) + 3) + 3 + (sqrt(17) - sqrt(425)))**2.\nAnswer: -80*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7767 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -98.58 times -0.04242\nAnswer: 4.1817636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)\/b*b*b\/b**6)\/(b\/(b*b*b*b\/(b*b\/(b*b**(1\/4)*b*b*b))*b))**1 assuming b is positive.\nAnswer: b**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/(-57))\/((-3)\/12*14)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 15*k**2 - 3. Let s(u) = 30*u**2 - 5. What is 5*g(j) - 3*s(j)?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/2 + 7. Let i = 10 - 8. Sort o, i, -1\/4 in decreasing order.\nAnswer: i, o, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 + 3 - (-16)\/(-4). Let l(z) = -5*z**3 + 2*z**2 + 6*z + 4. Let a(f) = f**3 - f**2 - f - 1. Give q*l(d) - 4*a(d).\nAnswer: d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3492485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 32, 56, 86?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 - 99*v + 444 = 0. What is v?\nAnswer: -37, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 4*i - 1\/20*i**5 + 11\/12*i**4 + 0 + 11\/2*i**2 - 5\/3*i**3. List the prime factors of k(6).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67619\/20 + -3382. What is the common denominator of 103\/324 and t?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 175*g - 96*g - 76*g. Let l(z) = 46*z + 6. Let s(a) = -1932*a - 253. Let b(n) = 253*l(n) + 6*s(n). What is t(b(k))?\nAnswer: 138*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*l + 39083, 5*p - 8*l + 6*l - 39087 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*t - 17 + 6 + 11 in the form p + z*t and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1537348679 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*w - 0*w + 30, 4*s = 5*w + 34. Suppose -4*t = -2 - s. Let m be 2\/4 + (-3)\/6. Solve 0*k + k = -2, 5*j + t*k - 16 = m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -57*n**5\/5 + 8*n - 50. Differentiate a(h) with respect to h.\nAnswer: -228*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-221)\/884)\/(57\/28 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3111789, -3111785, -3111777, -3111765?\nAnswer: -3111749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2662 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 262516 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, b: 2, g: 3, z: 2, p: 1}. What is prob of picking 1 y and 1 p?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + d = 3 - 0, -11 = 3*g + d. Let c be (5 - -1)*(-1)\/g. Suppose -c*p + 4 = -4*n + p, 3*n - 4*p = 1. Sort 5, n, 3 in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-48)\/56)\/(1\/56). Let d = 37 - h. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*c**3*v + 2*c*v + 29*v - 4 wrt c.\nAnswer: 231*c**2*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 7679*t - 23025. Determine q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41274*q**4*t**3 + q**2*t + 184*q*t + 4*t**3 wrt q.\nAnswer: 990576*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -15. Suppose -2*v - 3*v - 12 = y, -4*y + 3*v = 71. Let g = q - y. What is the highest common divisor of g and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - g - 265, 5*c - 1806 = 3*g - 471. Let k = 26 + -17. Suppose 4*z + c = k*z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*r, -17*r = 3*z - 16*r - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from buubduuubbdbbbbbddu?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 - -12.91. Let r = -47.9 - -48. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 134*b**2 - 1131*b - 685. What is q(142)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 8*t**2 + 6*t - 1. Let o be l(-5). What is the second derivative of -o*h**3 - h + 40*h**3 + 0*h wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Suppose 0 + i = 3*q. Suppose r - 5*s + q = 103, -3*r = 4*s - 344. What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3395.\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let c be -5 + 2 + (1 + -1 - 129). What is the common denominator of (-3)\/((-45)\/(-2))*(-780)\/c and 32\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-121 - -154) + -24).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4327\/13 + -333. Let t be 0\/(-1) + (-8)\/36*3. What is the closest to 1 in 2, t, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*m = -2, -g + 2*m + 3 = 7. Suppose -g*a = -4 + 4. Suppose -4*o + a*o = 5*d - 66, o - 27 = 4*d. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11646 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2094 = 2*z, -3*j - 213*z + 212*z + 6302 = 0. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 88, 171, 252, 331, 408, 483?\n\"Answer: -t**2 + 86*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(936\/(-45))*8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 + 88. What is the highest common divisor of 352 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6561, -6547, -6533, -6519, -6505?\nAnswer: -6491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millennium in years?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4580655 + -0.4577. What is u rounded to 5 decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -0.1194727.\nAnswer: 21.1194727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (220\/(-350) - (-9)\/21)*(-15)\/(-18). What is the third biggest value in -1, -0.79, p, 5\/4?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((236\/12)\/1)\/((-72)\/54*(-18)\/72)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/50 and 103\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 0*h**3 + h**2 + 2*h**4 - 2*h**2 + 2*h**3 to b*h**2 + d*h + w*h**3 + l*h**4 + f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 22 = -23. Let z = -46 - -48. Let w be (k\/(-2))\/(z - 291\/144). Calculate the highest common divisor of 264 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 6*y**2 - 5*y + 6. Let s(b) = b - 10. Let h be s(9). Let z be h - 11*(-1)\/1. Suppose 2*q = 4*l - z, -l + 38 - 8 = 5*q. Calculate d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/252 and -29\/10306548.\nAnswer: 10306548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (624\/507)\/(504\/1092).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 253*j**2 + 502*j + 2036. Let f be i(255). Let o = 7 + -5. Let l = 7 - o. What is the closest to 1 in l, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122.5 - 122. Suppose 12*i + 5*i = 34. Which is the second smallest value? (a) d (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 35.58898km?\nAnswer: 35588.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*h + 1247 + 852 = -296 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45414*o + 45410*o - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 1\/4, 3, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9053 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/5 + 2*c**4\/3 + 2*c**3 + 31*c. Determine p so that r(p) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 - -0.0719666.\nAnswer: 34.0719666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12*-3 - (1 - 8). Is p != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 7, -2, -10 in ascending order.\nAnswer: -10, -6, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 33279996 = -4*t, 2378819 = -u - 3*t - 4277184. Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 3*f - 4*f)*(9*f**2 + 32 - 32).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13311, -26292, -39287, -52296, -65319, -78356?\nAnswer: -91407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 less than or equal to 241\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 13*b**2 + 5. Let k be a(-13). Find the second derivative of 2*z**5 - 8*z**5 + 5*z**k - 5*z + 5*z**5 wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*-4)\/(sqrt(12) + sqrt(48)\/sqrt(144)).\nAnswer: -24*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 3*d**2 + 3*d - 6084. Let h(z) = -z**2 - 13*z - 6. Determine -2*h(o) - 5*s(o).\nAnswer: 2*o**2 - 4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -1357*g**7\/14 - g**3\/3 + 1595*g**2 + g - 6. What is the second derivative of t(o) wrt o?\nAnswer: -81420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzxoooxgoouzg. Give prob of sequence gox.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415\/(-2)*(-35)\/(2800\/864)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = 7*h. Suppose -43 = -5*w - 3*x, -h*w + 12 = -x - 3*x. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45292150 or 45292147?\nAnswer: 45292147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1362308688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 15 - 2) + 4 - 26 - -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 3 - 3*g + 59*g**4 - 38*g**4 + 2 to the form c*g**4 + t + d*g**3 + f*g + q*g**2 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21731 + -13854. List the prime factors of o.\nAnswer: 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65471.92952 to the nearest one hundred.\nAnswer: 65500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*w - 58*w + 66*w in the form l + i*w and give i.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(420\/(-14)))\/(2\/15))\/(708\/(-24544)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36195 - 704. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 260984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c - 5. Let h be q(-3). Find the first derivative of -540*j**2 + h*j**4 + 540*j**2 + 24 wrt j.\nAnswer: 112*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-1891373\nAnswer: -1891372.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5508 - 5503. Let g(p) be the third derivative of -8\/3*p**3 + 0*p + 5\/6*p**4 + 28*p**2 - 1\/15*p**n + 0. Factor g(x).\nAnswer: -4*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 divided by 5.\nAnswer: -167\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*a - 65 = 93*a. Let c = 73 + a. What is the greatest common divisor of c and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187a98 (base 12) to base 2.\nAnswer: -1101000100101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1462.\nAnswer: -2\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 535900 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9 - 9)\/(-5))\/1 - (-2)\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21174 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 935.71 to the nearest ten.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 0*y - 4*y)*(2 + 0 + 0) + (-6 + 14 + 3)*(14 + 7*y - 1 + 2) to the form u*y + o and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -6*j**5\/13 - 490*j**4\/13 - 4222*j**3\/13 - 3254*j**2\/13 + 4228*j\/13 + 288 = 0.\nAnswer: -72, -26\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*s + 2*s + 9, -s - 7 = -4*b. Let x = b + 6. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(15\/(-6))\/(10\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -69. Is 18 + 363 - ((-24)\/4)\/r a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -94 - (12 - (-19 + (18 - 16) + 26)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315 - 193. Let g = 151.9 + -35.9. Let i = g - s. What is the biggest value in 0, -2\/11, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*u**6 - 1213*u**2 - 26*u**6 + 1170*u**2 wrt u.\nAnswer: -2160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 4*n + 3*n)*(3 - 3 - 5*n + 0 - 2*n + 0 + (0*n + 0*n + n)*(-2 + 2 - 2) + 2 - 2 - n - 3*n + 3*n - 2*n).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1901 - -1904. Let g = 8 + -13. Let v be (-5)\/g + 12\/r. Solve 0 = v*d - 0 - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836, 838, 842, 848?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8741.3 or 10776?\nAnswer: 8741.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3760*s + 3117*s - 45225 = 13288 for s.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + 69. Let u(r) be the first derivative of 17*r**3\/3 + 1879. Calculate h(u(v)).\nAnswer: -867*v**4 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 37, -5\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, -5, -430, 5 in decreasing order.\nAnswer: 24, 5, -3, -5, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 781*r. Let b(c) = 6612*c. Determine f(b(d)).\nAnswer: 5163972*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -12 - 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11435 (base 9) in base 15?\nAnswer: -23eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1016, -2 in ascending order.\nAnswer: -2, 3, 5, 1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-6)*-3*472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 46 = 82. Let c be 184\/6 - (-2)\/6. Suppose -5*j - r*f = -c, 0*f - 4*f = -16. Solve -2*l + 25 = j*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5227745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 2*s**2 + 0*s**2 + 194*s + 2*s.\nAnswer: s**2 + 196*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from drrgrdxrrtgtddrr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -171\/23? (a) 21 (b) -4 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.02 (b) 0.6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15535 - 42*b**3 - 31111 + 15576 + 14*b + 199*b**3.\nAnswer: 157*b**3 + 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18281.952 to the nearest 10.\nAnswer: -18280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 312.6 - 283. Let k = w + -29.9. What is the nearest to 2\/5 in -19, -2\/9, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 23*q - 3*o = 9012, o - 2 = 0. What are the prime factors of q?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.8 (b) 1\/57 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01540319*-5.\nAnswer: -0.07701595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1540 (b) -5 (c) 0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/106 - -927\/7526. Which is smaller: q or 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137546676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1159 (base 15) to base 6\nAnswer: 25020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1327117 - -0.1.\nAnswer: -1327116.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2 + -1 - sqrt(17) - (-2 + sqrt(272)))**2.\nAnswer: -14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8573035267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -5 (c) -6 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3))\/(h\/h**(3\/2))*h**(-15)*h**(-14) assuming h is positive.\nAnswer: h**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 7*n**2 - 8*n. Let d be z(-8). Solve d = 4*v - 2 + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373315.\nAnswer: 5, 197, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 2.3. Let t = 0.2 + q. Let d = -0.4057 - -0.0057. Sort -3, d, t in descending order.\nAnswer: t, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279 is divided by 599?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*y + 18, -3*l + 2*y + 29 - 1 = 0. Let a = -91 - -317. Let s be (2 - a\/(-10)) + (-42)\/70. What is the greatest common divisor of s and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*v + 70*v - 166 - 69 = 0. Which is the second smallest value? (a) -2\/3 (b) 339 (c) v (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.6 (b) -2 (c) -2\/21 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2858746 divided by -1.\nAnswer: 2858746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 4*n**2 + 23*n + 102. Let c be r(-7). Calculate the highest common factor of c and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -23401354.\nAnswer: -6\/11700677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 723061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18608 - 6739. Suppose o = 16*t - 5091. Calculate the highest common divisor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2)*(240\/81)\/((-12)\/(-27)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 2*n**2 + 3*n**2 - 1 - 1. Let d = 19 + -14. Suppose 5*u + 3 = -3*f - 10, -5*f - 5*u - d = 0. Calculate q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -54 + 56 + 2\/(-8) + 2\/(-8). Let u = -0.09 - -0.1. Sort -1\/5, u, 0.2, p in descending order.\nAnswer: p, 0.2, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - (-27580)\/1182*9\/15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295.554km in nanometers?\nAnswer: 2295554000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 272 + -270. Suppose 5*g = -5, -3*y + 5*g - r = -13. Solve 4*x + 2*z = 0, 0 = -4*x + 3*z - y*z + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1160708 and 5765?\nAnswer: 1154943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 208522196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 46, 78, 114?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24148 * -0.5\nAnswer: 12074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 31*r**3 - 2*r - 3*r.\nAnswer: 31*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.7 + -8. Let x = h + -0.7. Let o = -6.70776 + 15.70776. Which is the nearest to 0? (a) o (b) 1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429907787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1564\/19661 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 47.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2 - 2*d**2 - 17 + 9 - 4*d**2 + 8. Let c(x) = 96*x**2 - 33. Calculate 2*c(m) + 33*q(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.4 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012652122787 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 178\/6 - (-1)\/3. Let i = v + -25. Let f be (0 + 6\/4)*(-14)\/(-3). Put 3, f, i in decreasing order.\nAnswer: f, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 28. Suppose 0 = 2*m + c*x - 8, -2*m = -0*m - x - 11. What is the tens digit of m\/((-5)\/(-23))*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {r: 1, n: 1, j: 1, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -19. Let f(t) = 0*t - 3*t + t + 5*t + o. Let x be f(-3). Solve 3*c - 5 - 18 = 4*i, -c + x*i = -11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 16826, 0.1, -0.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/53 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 7. Let p(t) = 6*t**2 + 1. Determine -d(r) - 2*p(r).\nAnswer: -14*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 2*x - x)*(2 + x**2 - 2) + (5*x**3 - 9*x**3 + 7*x**3)*(4 - 4 + 2).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x. Let d(g) be the first derivative of -2*g**3\/3 + 45*g**2\/2 - 490. Determine q(d(a)).\nAnswer: 6*a**2 - 135*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o + 67. Calculate the least common multiple of 112 and s(1).\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c. What is the remainder when g(-3) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 929 - 928.6. Which is the nearest to 9\/4? (a) -4\/3 (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13312 (base 4) to base 6\nAnswer: -2154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1363, -2272, -2677, -2578?\n\"Answer: 252*v**2 - 1665*v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) -5 (b) 1\/107 (c) 1\/24 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 5. Let a be x(-10). Suppose -4*p + a*p + 27 = 0. Let d = 48 + p. Calculate the remainder when 40 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 604*t + 148*t**2 - 604*t.\nAnswer: 148*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*c, -3*w = 8*c - 7*c + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**26)\/((l\/((l*l**24)\/l))\/l))**(8\/5))**1 assuming l is positive.\nAnswer: l**(408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 72 + 129*q)*(33 + 21 - 38).\nAnswer: 2064*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9918473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13038.6 decades in centuries?\nAnswer: 1303.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 - 3 = 0. Let n be (1 + -2)*-5*(-68)\/(-85). Let a(p) = -p**2 + 8*p - 9. Let l be a(6). Sort f, l, n in descending order.\nAnswer: n, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j - 64. What is the remainder when k(20) is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -3 (c) -1 (d) -4 (e) -29 (f) -9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 25515561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1994.63 to the nearest integer.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -212, 3, -0.225?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(2*sqrt(12)) - (sqrt(17) + (-2*sqrt(1088))**2).\nAnswer: -4352 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - (-6 + 11 - 354)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t*t\/(t**(-7)\/t))\/(t*t**5*t*t*t**(-19)) assuming t is positive.\nAnswer: t**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -389619*a**3*u + 10*a**3 - 2*a**2*u + 6*a*u - 3923*a + 37 wrt u.\nAnswer: -389619*a**3 - 2*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**3 - 1115*c**2 + 48800*c + 1562820 = 0.\nAnswer: -21, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102460 + 102451. Let q = 0 - 0.1. Which is the second smallest value? (a) 5 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 4\/11, -0.3, -3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:27 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -16*z**4\/7 - 18*z**3\/7 + 78*z**2\/7 - 38*z\/7 - 6\/7 = 0.\nAnswer: -3, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 820188*v**2 + 84094285440*v - 1177159244800.\nAnswer: 2*(v - 205040)**2*(v - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12240 (base 10) in base 2?\nAnswer: -10111111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 4*(sqrt(68) + 1) + -3).\nAnswer: -48*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 19*m**2 + 67*m - 18. Let o be q(22). Suppose -o*y = -1 - 7, 5*y + 6042 = 4*r. What are the prime factors of r?\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v - 20. Let f = v + 2. What is the units digit of 9\/3 + f + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53541103 (base 6) in base 5?\nAnswer: -401141332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -22*z**2. Let y(s) = 14*s**2. Give t(y(b)).\nAnswer: -4312*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Suppose -2*y + b + 1 = 0, -4*y + 7 = -b + 2. Let q(t) = y*t - t - 2*t. Give q(c(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2298007 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/5)\/(t*(t\/(t*t*t**(3\/2)\/t)*t*t)\/t))**(-30)*(t**11\/((t*t*t*t**3*t)\/t))**(-4\/13) assuming t is positive.\nAnswer: t**(799\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13518, 27177, 40836?\n\"Answer: 13659*o - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -u + 1985, -o + 3*u - u + 386 = 0. Let z = -700 + o. Let r be (-2 + 34\/8)\/((-4)\/z). Calculate the highest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158650*y - 808*y**3 + 158650*y + 32 - 32.\nAnswer: -808*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-2) + (-112)\/28)*-4. What is the greatest common factor of 27 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8aa47 (base 13) in base 9?\nAnswer: -423860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 + 68*i**2\/9 + 430*i\/9 - 500\/9.\nAnswer: 2*(i - 1)*(i + 10)*(i + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, t: 2, g: 1, i: 11}. What is prob of sequence stt?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1, 1\/4, -2\/11, -0.4, -705, 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5\/6, -7\/5, 119\/12 in increasing order.\nAnswer: -7\/5, 5\/6, 5, 119\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 349448*a**2\/9 + 61864*a\/9 + 2738\/9 = 0.\nAnswer: -37\/418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 98\/(-1) - (2 + 0). Let l = q + 150. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-930)\/(-72) + -5)*6\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274169958?\nAnswer: 2, 3, 45694993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 0. Let o(x) = x**2 + 5*x + 4. Let l be o(y). Let v be 10\/(3 - l - 2). Solve 2*r - 5*r = -5*j + 34, -5*r = j + v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by 41\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m\/(m*m**9))\/m)*m**(4\/7) assuming m is positive.\nAnswer: m**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/2 + 4077*f**2 + 24444*f = 0. Calculate f.\nAnswer: -8148, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/16 (b) 7 (c) 4 (d) 5\/8 (e) -0.118 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*w**2 - 2*w + 5*w**3 - 5 - 41*w**4 + 5 + 43*w**4 wrt w?\nAnswer: 48*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 42 = -2*p, 4*d - 3*p - 2*p = 7. Let f be -3 - (46\/d - 6\/24). Is -8 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*s**4 - 2*s - 115.\nAnswer: -5100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -69, -80, -91, -102?\n\"Answer: -11*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(54)\/(1*sqrt(75) + sqrt(3)).\nAnswer: -1 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4036263.\nAnswer: 3, 7, 11, 101, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63024269050339.0999939 - -63024272205799. Let a = 3155459 - i. Let q = a - -0.9. What is q rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -10, 5*d - 4*j + 4150 = 2*d. Let s be ((-2)\/2)\/((-1)\/d). What is s rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + sqrt(180) + 0 - 2*sqrt(405))*6.\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*v. Suppose g - v*g + 75 = 0. Let i be 266\/18 - (-2)\/9. What is the greatest common factor of g and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + (-16)\/(-6). Let d = 9 - w. Solve -3 = 3*j, d*k - k + 5*j + 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 19 = -3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n + 5070 = 52*n. Let l = -250 + n. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = 26*j - 5. Let r = -5 - 0. Let u(k) = k**2 + 5*k. Let x(a) = -1. Let w(f) = r*x(f) + u(f). Give w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/(1\/3). Suppose -2*h = -2*l + 5*l - 2, 2*l - 16 = -5*h. Suppose i = 2*p - 72, h*p - 2*p = -z*i + 92. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4 and 3\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1.68 (b) -0.4 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 5. Let y be d(4). Suppose -y*r - 604 = -7*r. Let i = r + 296. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in -5, -19, -3\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-32)\/(-28))*(4 + 12\/4). Let u(f) = -2*f**2 - 3*f + 2. Give u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + 3*s)*(0*s - s**4 + 2*s - 4*s).\nAnswer: -3*s**5 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -275.336 + 0.336. Let o be (1\/(-12))\/((-11)\/(-33)). Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42065298 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 212.9 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 4. Calculate f(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-2 - (4 + 2)). Solve 0 = h - 0 + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 3 (c) -5 (d) 1 (e) -3 (f) 2429\/3 (g) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 287.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 8*d - 5. Let m be 2 + 0 - 2 - -4. Suppose m*t + 7 = 3*t. Let x be n(t). Is x at least as big as 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 469*f**3 - 22956*f**2 + f - 27907592.\nAnswer: 2814*f - 45912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51103, -51225, -51357, -51505, -51675, -51873, -52105, -52377?\n\"Answer: -z**3 + z**2 - 118*z - 50985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -129?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2592 = 5*o - 2813. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {m: 1, b: 3, e: 1, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 4652*n + 88749.\nAnswer: -(n - 4671)*(n + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**4 - 21*j**4 + 3*j**4 + 9*j**3 - 3*j + 11*j**4 - 22*j**3 to the form z*j**3 + o*j**2 + f + n*j**4 + i*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 31. Let o(v) = 439. Let b(m) = 351. Let u(f) = 5*b(f) - 4*o(f). What is -2*u(h) - x(h)?\nAnswer: 2*h + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/2 or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b*h**2*s**2 - b*h*s**2 + 2*b*s - h**3*s**2 - 12*h**3*s - 51*h*s + s**2 wrt s?\nAnswer: -8*b*h**2 - 2*b*h - 2*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5151*g = -5207*g + 224. Solve 11*q - 37 = -g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 489209 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 408, 824, 1250, 1686, 2132?\n\"Answer: 5*o**2 + 401*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from ggcgcg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 41. Solve 0 = t + t - k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + k**3 + 2*k + 0 + k**2 - 1. Let j(h) = -h**3 + 5*h**2 + 6*h + 3. Let w be j(6). Suppose 6 = -z - 4*i, 3*z = 2*i + i - w. What is n(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013716347?\nAnswer: 3, 7, 59, 818173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6, z: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-3)\/84). Suppose -31 = -3*u + q. What is the highest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1774 divided by -36\nAnswer: 887\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 82609 from 846.\nAnswer: -81763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 6) in base 9?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -120*b + 14. Let n be c(-1). Let w = -96 + n. Calculate the remainder when 188 is divided by w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*q + 3*o + 35, -5*o - 26 = -2*q. Suppose 0 = q*m - 4*i - 91, -m - 2*m = i - 71. Solve 2*x + m = -5*h, 4*h = 4*x + 4 - 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.151213542 rounded to four decimal places?\nAnswer: -1.1512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 169 + -91 + (-155 - 1)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 72187.675.\nAnswer: 72189.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24b452 + -4?\nAnswer: -24b456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c4 - -5?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/(-3)*12\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.08484147+-0.1\nAnswer: -0.18484147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-16 - (16 + -1 - 15)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 i when four letters picked without replacement from xiivvviiviixvii.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 7) to base 11\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c + 2. Let d = -42811 + 42811. Solve d*y + 4*y - 4 = 0, -m = c*y - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/243555 and 197\/6332430.\nAnswer: 6332430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9078.322 days to hours.\nAnswer: 217879.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, -2187, -5 in increasing order.\nAnswer: -2187, -5, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + 0 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1485\/4, 4, 2.1, -2, 0.07, -5 in increasing order.\nAnswer: -5, -2, 0.07, 2.1, 4, 1485\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 78416 = 96*u. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**2 - d. Let l be x(1). What is the units digit of 3\/(l\/12) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 388 - 1553\/4. Put v, -2.7, 2\/5 in descending order.\nAnswer: 2\/5, v, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y. Let b be (3 + 21\/(-6))*y. Suppose 4*u + 4 = u - s, -4*u - 2*s - 4 = 0. What is the closest to 0.1 in -5, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 6*i - 54. Let x be d(-11). Which is the third biggest value? (a) x (b) 1\/5 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478826?\nAnswer: 2, 31, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 949\/488 + -111\/61. Which is the closest to -4\/15? (a) 1\/2 (b) 1\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22329 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71, 243, 513, 869, 1299, 1791?\n\"Answer: -2*u**3 + 61*u**2 + 3*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1354*m**2 - 3967*m - 24. Let j(v) = 451*v**2 - 1322*v - 9. Let h(w) = 8*j(w) - 3*n(w). Find the second derivative of h(u) wrt u.\nAnswer: -908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2 + 42*n**2 + 41*n**2 - 81*n**2. Give s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 3, 4 in decreasing order.\nAnswer: 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 + 3*x**2 + 15 - 15 + 23*x to o*x + r*x**2 + s and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjp when four letters picked without replacement from {p: 9, j: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954646 = 8241*f - 138787 for f.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331088 is divided by 323.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 5*n + 1. Determine a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -21*z - 212 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 + 5. What is q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/6)\/(801\/(-14418))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1629*i**3 - 3251*i**3 + 3*i - 9*i**2 + 1624*i**3 - 2*i**3 - 2*i**3 + 6*i**3 + 0*i**3 - i**3 + 0*i**3 + (2*i**2 - 3 + 3)*(0*i - i - i) + 1 - 1 + 2*i**3.\nAnswer: i**3 - 9*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1028\/36 + -21 - (8 - 152\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*z - 81, 0 = 2*z - 4*i - 72 + 26. Suppose -z*o = -22*o - 11957. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 1631, -2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_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: Rearrange (-13*j**2 + 17*j**2 - 45*j**2)*(-13 + 2 + 8)*(-1 + 1 - j) + 2*j**3 - 3*j**2 + 3*j**2 to t*j**2 + z*j**3 + g*j + d and give z.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 4:41 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122314450 to the nearest integer?\nAnswer: 11060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:52 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1*2\/(-1). Let p(v) = -2*v**3 - v**2 - 2*v. What is the units digit of p(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (302*j - 30*j + 64*j)*((-j - 3*j + 2*j)*(-4*j + 5 - 5) + 2 - 2 - j**2)*(-3 + 1 + 0) to o*j**2 + z*j + i + g*j**3 and give g.\nAnswer: -4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {m: 4, f: 2, o: 5, x: 1, p: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**3 + 4*u**2 + 4. Let l(c) = -c**3 + c**2 + 1. Let f = 104 + -99. Let g be (7 + f + -10)*(-2)\/4. What is g*d(s) + 4*l(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*r = 5*t + 146*r - 1, 10*r - 7*r + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**15*(s*s*s*s\/(s**(-2\/19)*s)*s*s*s)\/s*s**(-12)*(s*s*s*s**(-1\/13))\/s assuming s is positive.\nAnswer: s**(2477\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 768*a**2*q**2 - 15*a*q**2 - 3*a wrt a.\nAnswer: 1536*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 7503*g**4\/2 + 442671*g**3\/2 + 427494*g**2 - 342*g = 0.\nAnswer: -57, -2, 0, 2\/2501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(25)\/sqrt(5) + -3 + sqrt(55)\/(sqrt(11)*2) + 1*(3*sqrt(605) - sqrt(605))))**2.\nAnswer: -141*sqrt(5) + 11081\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*h = 19, -3*a - 2*a + 3*h + 27 = 0. Suppose 10*r = 6*r + 16. Suppose -v - r = -a. Is v greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/6*-2)\/1. What is the closest to y in 2, 0.4, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1869*n + 5698*n + 157816 = -68095 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 3*r**2 + 52*r - 64. Let s be j(-8). Solve 0 = 2*w + 5*f - 23, 5*w + s*f = 6*f + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.837 - -0.163. Which is the third smallest value? (a) 3\/5 (b) 2\/3 (c) u (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -22. Let m = q - 8. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 19323*i\/2 + 2964171.\nAnswer: 3*(i - 6118)*(i - 323)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) -27 (c) 1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9780.02 (b) 0.4 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:55 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*f - 12 - 0, -4*k + 4 = f. Find the first derivative of 2*h**2 + 0*h**2 - 2*h**2 + 2 - 3*h**f wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, -70, -102, -132, -160, -186, -210?\n\"Answer: b**2 - 37*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, -413, -1666, -3623, -6290?\nAnswer: -9673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299a (base 12) in base 11?\nAnswer: 18269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001028038 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 76 = -2*r - 68, -3*r - 2 = 8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n - 179 + 160)*(-81*n**3 + 37*n**3 - 18*n**3).\nAnswer: 124*n**4 + 1178*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 31. Let k(u) = 2*u**2 - u**2 + 0*u**3 + 9 + u**3. List the prime factors of k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 348\/(-783)*(-41)\/((-943)\/(-4968))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 + 5*n**3 + n**3 + 61 - 3*n**3 + 148 - 167.\nAnswer: 3*n**3 + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3 - 4 + 1 + 9*d - 1. Let q(j) be the third derivative of j**4\/3 - j**3 - 6*j**2. What is 6*h(x) - 7*q(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 143 - 292 = 4*o, 414 = 3*c + 3*o. Suppose 1390 = 17*d - 7*d. Let y = c - d. Solve -u - y = 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350698134, 350698136, 350698138, 350698140?\nAnswer: 350698142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5))\/(q*q**(-2\/3)\/q*q))**5*(q*q**(-1\/3)*q)**(-31\/4)\/(((q*q**0\/q)\/q*q)\/q*(q\/q**(1\/2))\/q) assuming q is positive.\nAnswer: q**(-397\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (sqrt(208)*-1)\/sqrt(4) + sqrt(52))\/((sqrt(160)\/sqrt(5))\/sqrt(8) + sqrt(4)) - 2*sqrt(156)\/(-5*sqrt(12)*-3).\nAnswer: 11*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 24 = -0*z. Suppose z = -4*i + o, 2 = -i + 5*i - 5*o. Let y(v) = -v**2 - 4*v - 3. Let f be y(-3). Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**4\/10 - 2*n**3\/5 - 38. Factor x(b).\nAnswer: -2*b**2*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**3 + 2*b**2 - 23*b + 39. Calculate i(3).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 2*y + y)*(-5*y + 1 + 4*y + 1)*(-26 + 52 - 25).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 4*q**2 + 2*q - 2. Let j be m(3). Let b(h) = 38*h + 23. Let f be b(j). Let r = 286 + f. List the prime factors of r.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:21 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -6, 0, -14 in descending order.\nAnswer: 34, 0, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**6\/20 - t**5\/120 - t**4\/12 + 5*t**3\/3 + 1. Let i(m) be the third derivative of u(m). Does 3 divide i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b - 12 = 0. Let n = b - -43. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9960 + 21521\/2. Is d less than or equal to 801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -324*r**5 - 264624*r**4 - 1507948*r**3 + 415280*r**2 + 38928*r = 0.\nAnswer: -811, -6, -2\/27, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 10*j**2 - 12*j + 9. Let w be n(11). Is -8\/5 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**43\/h*(h\/(h\/(h*h**(5\/2))*h)*h)\/h*h**(1\/64)*h*(h\/(h\/(h**(-34)*h*h))*h)\/h assuming h is positive.\nAnswer: h**(865\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:51 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -10*h + 514. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -154696, -155565, -156434, -157303, -158172, -159041?\n\"Answer: -869*h - 153827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 + 2*b - 83. Let c(k) = -14*k**2 + 8*k - 249. Let f(q) = 6*c(q) - 17*z(q). Is 87 a factor of f(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 2, j: 2, w: 2}. What is prob of sequence jwq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719585971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y - 11*y + 6405 = -6399 + 12804. Factor y*a - 2\/11*a**5 + 10\/11*a**4 + 8\/11*a**2 - 16\/11*a**3 + 0.\nAnswer: -2*a**2*(a - 2)**2*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110410*c*g**2 - 6*c*g + 4270*c - 2*g**2 wrt g.\nAnswer: 220820*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -376 in descending order.\nAnswer: 1, -3, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-63)\/(-24)*-11*12\/(-66).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 6)*(-o + 0*o - o) - 1 + 2*o + 1 + (-4*o + 5*o + o)*(1 + 2 - 1) + 0*o - 3*o + o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 8*j + 12. Let a be x(9). Suppose 5*d - a*d = 0. Suppose 0 = -m - d*m + 3. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 34*s + 361. Let p be w(-28). Let v = -5303\/9 - p. Determine u so that -v*u - 14\/9 - 2\/9*u**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - n + 18, -3*m - 4*n - 511 + 508 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -0*g + 2*j, 3*g + j - 6 = 0. Let k be (9 - (-6)\/(-1)) + (18 - g). Suppose -k = 9*f - 200. Solve 2*n - f = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*a)*(-5 + 2 + 4) + 5 - 5 + 2*a + (a - 4*a + 4*a)*(0 + 5 - 4) - 3*a + 7*a - 3*a - 5*a + 3*a + 0*a - 2*a + 37*a - a.\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 2819 - 2362 = 0. List the prime factors of f.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000529830895 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-19)\/(912\/(-32272)) + (-3)\/9 + 0 is divided by 86?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.2 - 68.2. Which is smaller: r or -48\/5?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 202. Suppose -6*t = 203 - 143. What are the prime factors of h(t)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -399 + 403. Suppose 4*v + 19 = 15, g*c - v - 17 = 0. Calculate the highest common divisor of c and 120.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1029 times 608\nAnswer: -625632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 961*a**3 - 309*a**3 - 1 - 186*a**4 - 327*a**3 - 324*a**3 + 3*a to the form b*a**2 + c + p*a + u*a**4 + q*a**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -9\/8 (c) -5215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/2 - g**3\/3 + 3*g**2 + 7*g + 52. What is the units digit of j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 542, -1, 428 in increasing order.\nAnswer: -1, 428, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = 38*b - 5*b - 85 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 476 and 16660?\nAnswer: 16660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 210551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85059 - 801367.\nAnswer: -886426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -81 (b) 2\/7 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/11))**(4\/21)*(f**(-2\/7))**0 assuming f is positive.\nAnswer: f**(8\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 12*p + 30. Give u(10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 276105581 to the power of 1\/2, to the nearest integer?\nAnswer: 16616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhjkcok. What is prob of picking 2 k, 1 h, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22942 is divided by 916?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/215 + -221\/645. Let r = -5.02 + 0.02. Which is the closest to d? (a) -2 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 240246412?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 2*a - 120 = 0. Let f be (36\/(-8) - -4)*(a + -3). What is the greatest common divisor of f and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/5 - 8186*v**2\/5 + 4190208*v\/5 - 2093058\/5.\nAnswer: 2*(v - 1023)**2*(2*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -218, -331, -444, -557?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*p - 4, -5*p = -8*c - 2*p + 26. Solve -3*m + 3*q - 3 = 0, -c*m - 41 = -8*m - 5*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.56057247 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -108 + 168. Let r(q) = -3*q**2 - 40*q - 1. Calculate the remainder when 326 is divided by r(g).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*s**2 + 88*s**2 + 0*s**3 + 4*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*v)*(0 + 7 - 27).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6 - 6 + 2*v + 0. Let w(m) = m**2. Give c(w(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349748 divided by 4.\nAnswer: 87437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/3 - 2237*l**4 + 33533*l**3\/3 - 20113*l**2\/3 - 11178*l + 26824\/3 = 0. Calculate l.\nAnswer: -1, 1, 4, 6706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68890 (base 10) in base 5?\nAnswer: 4201030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 - 1.3. What is the third smallest value in 3, -3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -306, -334, -504, -888, -1558, -2586?\n\"Answer: -12*z**3 + z**2 + 53*z - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*z - 108*z - 223*z.\nAnswer: -444*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150.1 - 152. Let y = 13 + -15. Let m = k - y. Which is the closest to -0.2? (a) m (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = -3*v, v + 4*z = 2*z + 2. Let q be (3\/4)\/(-1 - (-35)\/28). Suppose -3*d - 7 = -q*n + d, 0 = 4*n + 2*d - 24. Sort n, v, -5.\nAnswer: -5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.51 + 16.51. What is the closest to 1 in 2\/13, y, -1\/8, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-10)\/225)*298. Let m = -869 - -349. Let x = f + m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**3 + 11025*b**2 - 472790*b - 2067240 = 0.\nAnswer: -2247, -4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9))\/((-2)\/18). Let y(z) = l*z + 1 - 2 - 4*z. Let p(m) = m**2 + 3*m - 6. Let k be p(-5). Determine y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-10))\/(1\/5))\/(34\/17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (-9 + 9 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 815 divided by -3\nAnswer: -815\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260) + (sqrt(1260) - sqrt(1260)*-2) - sqrt(35))*3)\/((sqrt(70) + -3*(sqrt(70)*3 + sqrt(70)))\/sqrt(10)).\nAnswer: -69*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, -14, 3967.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 535053615 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.38339l to millilitres.\nAnswer: 58383.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -q, 0 = 3*p - 2*q - 3. Let y be (2 - p)\/(6\/4). Let w(j) = -j**3 - 3*j**2 + 4. Let s be w(-3). Sort s, y, -5 in ascending order.\nAnswer: -5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 483775 + -8705215\/18. Let m = k + -151. Find the common denominator of m and (-3)\/(-15)*(-105)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m + 12 - 7*m - 3 + 5*m - m**2. Determine q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 7*d**2 - 10*d + 2. Let s be t(-5). Suppose -g - s*h = -4, 2*h - 18 + 8 = 0. Let j(a) = 2*a + 6. Give j(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/24 - 12442\/(-3). Let r = i + -2783. Is r a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*l**2*q**3 - 135224*l**2*q - l*q**3 - 130*q**2 wrt q?\nAnswer: -198*l**2*q - 6*l*q - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2376 and 111806.\nAnswer: 132825528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 4:39 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/2 - 2929*y**2 + 8985265*y\/2 - 587696328 = 0.\nAnswer: 144, 2857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*24\/18*(-34)\/289?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 9 = s. Let l be 3*(24\/s)\/(-2). Let j be l\/22 - 12\/55. Are j and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 0.7. Let s = -4 + 5. Is d at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1102, -2185, -3288, -4423, -5602, -6837, -8140?\nAnswer: -9523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -321, -1251, -3099, -6171, -10773, -17211?\nAnswer: -25791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.373 + 29.07. Let u = -2.512 - z. What is u rounded to 2 decimal places?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152818337 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(sqrt(252)*2 + -3 + -5*(2*sqrt(252) + sqrt(252))))**2.\nAnswer: 16848*sqrt(7) + 1533492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/168 and -11\/53088.\nAnswer: 53088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.9 + -48.9. Which is the nearest to v? (a) 1 (b) 1\/8 (c) 4\/27 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*s + 30, 3*v + 5*s - 20 + 2 = 0. Let r(q) = -16*q + 98. Calculate r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/10 + 2\/(-5). Suppose -v*w + 2*w + 8 = 0. Find the third derivative of 3*m**6 - m**w - 2*m**4 + 4*m**4 - 2*m**4 wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144836, -289674, -434512?\nAnswer: -579350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 4*q**2 - 9*q. Let j(d) be the first derivative of 2*d**3 + 0*d - 14 + 3\/2*d**4 + 7*d**2. Calculate -5*j(t) - 8*p(t).\nAnswer: 2*t**3 + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1561582 and 4684746?\nAnswer: 4684746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30300 - 409?\nAnswer: -30709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177708 is divided by 58049.\nAnswer: 3561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + y - 3*y)*(-88 - 115 + 137 - 2 + 1 + 0 - 4 + 6 - 4 + (-4 + 2 + 3)*(3 + 1 - 6) + 1 + 2 - 2) in the form c*y + r and give c.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, -799, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7)*15\/(270\/(-42)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (232\/(-24))\/((-29)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/3 + 352*h**4 - 132734*h**3\/3 + 451712*h**2 - 2393312*h\/3 - 1294080 = 0.\nAnswer: -1, 4, 8, 180, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 48 - 119 = 3*d, 65 = 2*w - 5*d. Let c be ((-21)\/(-1) - 3)*-1. What is the units digit of (c\/(-15))\/(6\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13140 and 1117.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*6 + (sqrt(136) - (sqrt(136) - 2*sqrt(136))*-4))\/((-6*-1*sqrt(48))\/(sqrt(6) + sqrt(54)*2 + sqrt(6) + sqrt(6))).\nAnswer: -27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/7)\/((-2)\/(-7)). Suppose -2*x + q + 598 = 0, 3*x + 3*q = -z*q + 910. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17139425 is divided by 66.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179429*f**3 + 1953*f**2 + 248624331.\nAnswer: 538287*f**2 + 3906*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11054, -3, -5 in ascending order.\nAnswer: -11054, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**5\/20 + 7*k**4\/12 - k**3\/2 - 5*k**2\/2 + k. Let h(z) = -z - 1. Let c be h(6). What is the tens digit of p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, -2, -2\/3, -0.05855, 8?\nAnswer: -0.05855","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 480516 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3424 + 3423. Let k be (-40)\/(-42) - 2\/7. Which is the third biggest value? (a) -1\/5 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 390*o - 8954, -30 = -2*d - 3*o + 7 + 32 - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 15*y - 18. Let v be a(-13). Suppose 0 = 3*g - 2*g - 2. Factor -g - v*p - 4*p**4 + 2*p**4 - 8*p**3 - 14*p**2 + 2*p**2.\nAnswer: -2*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -849 by -6.\nAnswer: 283\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 18*x**2 - x + 26. Let i be w(18). Solve p + 4 = i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -84, -122, -160?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 174 - 66. Let h = 71 + d. Find the common denominator of (h + 26)\/((-40)\/14) and 93\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*x - 192 - 48 = 0, -l + 80 = -x. Let b = 29 + -13. What is the highest common divisor of l and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4956 + 8503. Let n = z - 3548.961. Let o = n - -2.08. What is o rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/197 - -713\/2955. Let o(k) be the second derivative of 1\/150*k**5 + 5 + 1\/30*k**4 - h*k**2 + 3*k + 0*k**3. Let o(g) = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + 2*sqrt(475) + (sqrt(114)\/(sqrt(6) - sqrt(24)))**2 + sqrt(114)\/(1*sqrt(600)).\nAnswer: 19 + 151*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 358373819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = -0*f - p, 2*p = -4*f - 52. Suppose -4*v - 36 = -v. Is f less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134800 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -14. What is the least common multiple of 7 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*z**3 + 4*i*z**2 - 4*i*z + 2663052*z**3 + 23*z + 613 wrt z?\nAnswer: 12*i + 15978312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k. Let v be w(2). Let b be v + 2 + (-1 - 0). Suppose 0*a = -d + b*a - 7, 5*d + 5*a - 55 = 0. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 462?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**2 + 6*p - 9. What is the units digit of y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/21 - 16*g**4\/3 + 78*g**3\/7 + 16*g**2\/3 - 232*g\/21 = 0.\nAnswer: -58, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*g - 8099 - 231. Which is the third biggest value? (a) 3\/5 (b) g (c) -2 (d) 2\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459, 469, 493, 537, 607, 709, 849?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 24 = 0. Calculate the lowest common multiple of x and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441090 divided by 174.\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1667*d - 10. Is s(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622227?\nAnswer: 107, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwrwwaaw. Give prob of sequence wa.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*o + 6. Does 4 divide -3*(-4)\/o*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8504978.66999958 - -8504979. Let s = d - 0.33. What is s rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -605 - -1122. Suppose -512*y + t*y - 2690 = 0. What are the prime factors of y?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 12*i**2 - 10*i - 7. Determine l(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002163719 to 5 dps.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1*87)\/(5 + 5 + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 247*c - 3. Is j(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.04079?\nAnswer: -0.25921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988.931g in tonnes?\nAnswer: 0.002988931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147 + 40. Let y = l - -195. Calculate the remainder when y is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-466)\/(-12) - 2\/(-12). Suppose -p = -w - 12. What is the smallest common multiple of 18 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-18))\/((-8)\/(-30)). Suppose 3*x - 3*t + 2*t = 23, 5*x + 2*t = 42. Suppose 5*d - 3 = -0*o + 4*o, x = -5*o + 2*d. Which is bigger: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 680*m - 23120.\nAnswer: -5*(m - 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4857*z - 1. Let m = 23 + -11. Suppose -m = 5*t - 47. Let x be k(t). Round x to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3915 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(3 + 3*sqrt(80)*1)*-5)**2.\nAnswer: 28800*sqrt(5) + 291603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*l + 1185*a**2 + 3*a*l + a + 2*l + 126 wrt a.\nAnswer: -6*l + 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2. Let d(k) be the first derivative of 21*k**2 + 69. Determine v(d(c)).\nAnswer: 3528*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**6\/240 - 13*l**5\/120 + l**4\/3 - 3*l. Let q(t) be the third derivative of s(t). Is q(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -3937119\nAnswer: 3937135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r - 5. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 319\/6. Let p = -52\/3 - -18. Let w = t + p. What is the third biggest value in 0.4, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00094857168 to seven decimal places.\nAnswer: 0.0009486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68882930903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00327104 to 6 dps.\nAnswer: -0.003271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 - -0.172. Round h to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/10)\/(((-985)\/53190)\/((-1)\/54))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i + 5. Let r(n) be the first derivative of -6*n**2 - 6*n + 103. Calculate 5*r(h) + 6*v(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 58. Suppose -3*h + t*c + 9 = 3*c, -12 = -5*h - 2*c. Let q(b) = -8*b + 4*b + h*b. Let d(z) = -74*z**2 - 2*z. Calculate d(q(g)).\nAnswer: -296*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.06271 decades to months.\nAnswer: 6607.5252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3\/1 - (0 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1.52, 4, -3, -135 in increasing order.\nAnswer: -135, -33, -3, -1.52, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4, -29 in decreasing order.\nAnswer: 4, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -30*t**3 + 2*t + 1. Let y = -9 - -8. Is c(y) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6470243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189940935 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(2*(-99)\/(-204)). Let o = q - 6. Suppose 0 = 5*l - 3 - 2. Is o less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**18)**(1\/7))**(-1\/41) assuming f is positive.\nAnswer: f**(-18\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361277581?\nAnswer: 7, 379, 136177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.39 - -13.39. What is the third smallest value in -0.3, -5, q, 196?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1284602469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24371 = -68*o - 26547 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -968*r**4\/5 - 6709472*r**3\/5 + 31740438*r**2\/5 + 9030762*r\/5 + 124848 = 0.\nAnswer: -6936, -3\/22, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 4c?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 7*u - 4. Let x be b(-6). Let n = x - -14. Is 16 a factor of (24\/n)\/((-6)\/160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 5*a**2 + 7*a - 11. Let s be o(-6). Let p be 2 - (1 + (s - -3)). Find the second derivative of 4*c**4 - 15 - 2*c + p wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*d**3 - 81*d**2 + 24*d + 36 = 0. Calculate d.\nAnswer: -1\/2, 6\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 27. Let w(m) = -m - 14. Let k(t) = 6*v(t) - 11*w(t). Differentiate k(z) wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x - 8. Calculate b(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 4*l - 11. Let p be f(6). Let u = -1670\/7 + 239. What is the nearest to -2 in p, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -35.92747.\nAnswer: 1.7963735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614*s + 1616*s + 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000111 + 1010?\nAnswer: -1100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - o**2 + o + 4. Suppose 0 = -n + 2*p - 6, -5*n + n - p = -3. Let m be d(n). Factor 234\/19*z**3 - 80\/19*z**2 - 162\/19*z**m + 0 + 8\/19*z.\nAnswer: -2*z*(z - 1)*(9*z - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 802815, 1605632, 2408449, 3211266, 4014083?\nAnswer: 4816900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 156 - 107 - 105 - 3*i - i**2 - 7*i in the form a*i + y*i**2 + t and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 4. Let y(t) = -12*t - 12. Let x = 2 - -1. Let d(j) = x*y(j) + 8*b(j). What are the prime factors of d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (-105)\/(-20))*(1 - 5). Suppose 2*m - 101 = o*n - 6*n, -4*n + 2*m = -394. What is the lowest common multiple of n and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 23 - 81. Suppose -b - 23 = -4*c. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 14. Suppose q + q = 0. Solve -h - h - z = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, 1\/4, -18.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7620 + 3430. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3751969*v**5\/2 - 566543445*v**4 + 11894911676*v**3 - 60431262664*v**2 + 124755480*v - 64400 = 0. Calculate v.\nAnswer: -322, 2\/1937, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23895 or 24073?\nAnswer: 24073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 21012322311?\nAnswer: -21012322320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 1 + 3)*(4*r**4 - 2 + 2)*(5*r - 41*r + 12*r).\nAnswer: 1920*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h - 5*b + 2757, 0 = b + 2. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/150)\/(12\/50))\/2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-42)*-2*(85\/(-10))\/(-17)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7705301\/47505 + 2\/9501. Let p = -1407\/10 + a. Calculate the common denominator of p and ((-2410)\/(-120) + 5)*2\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52040.\nAnswer: 2, 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 + 81\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-42)*((-4)\/24 - ((-1052)\/(-24) + 4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -194, -177, -160, -143, -126, -109?\n\"Answer: 17*g - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 495310160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25501081981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1505 (base 7) to base 12\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12535 = -v - 3*v + 3*j + 12522, -v + 3*j = 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -203*f**3 + 5 + 63*f**3 + 69*f**3 + 5*f + 69*f**3. Let x be (-22)\/(-4) - (-1)\/(-2). Let j(b) = -b**3 + 3*b + 3. What is x*j(s) - 3*q(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = -14*j - 2*o, 3*j = 1558*o - 1564*o - 75 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s + 3. Let y(m) = -4*m + 4. Give -3*o(d) + 4*y(d).\nAnswer: -d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65718 and 27162?\nAnswer: 33056154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 48 - 3 + 3*h.\nAnswer: 3*h + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/81*1*521. Let g = -289 - k. Suppose -x - 5 = -4. Which is the closest to 0.1? (a) x (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by -9.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m**4 + 34*m**3 + 22*m**2 + 6*m - 5. Let b(q) = 2*q**4 + 2*q**3 - q + 1. Let h(f) = -6*b(f) - x(f). What is the third derivative of h(k) wrt k?\nAnswer: -24*k - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0 + 4. Suppose 2 = x*j - 5*w - 4, 0 = -4*j - 3*w + 38. Let n(z) = 9*z + 139. Calculate the least common multiple of n(-13) and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 10*j**2 - 8*j + 7. Let b be z(9). Suppose 4*y = -4*g + 116, 2*g = -3*g - y + 125. What is the highest common factor of g and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -786 in -1, -8, -40, 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -24 + 30 - (1 + 3142). Let c = 4680 + v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201210 - -1000010020?\nAnswer: 211101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 24. Let q be -1 - 20\/(-4 + y). Factor 13*z**2 - 12*z**2 + z**4 - 2*z**q.\nAnswer: -z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -76395, -1 in descending order.\nAnswer: 8, -1, -76395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 17*k = -23*k - 98, -4*k - 100 = 4*h. Which is the smallest value? (a) 11 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53076 is divided by 1515?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:35 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4165.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 164.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23179)\/(-5349)*15\/(-650).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -13. Let z be 0 - x\/3*-5. Calculate the highest common factor of 105 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -22093214.\nAnswer: -15465249.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3.87*-0.03\nAnswer: 0.1161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9855 is divided by 466?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*b = 69 - 5, -3*i = -b - 44. Suppose -3*t + 277 = 4*o + 62, -3*o + 162 = 2*t. What is the highest common divisor of o and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(2*i**4 - i**4 + i**4) + 7*i - 7*i + i**4 + 0*i**4 - i**4 - 2*i**4.\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9248 = -110*k - 28*k + 2*k for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -1) + (-24 - (76 - 106))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 461 = -25. Let s = 43 - w. Let l(j) = -j**2 - 12*j + 31. Does 14 divide l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**4 - 60*b - 11*b**2 - 15 - 6 - 5. Let l(h) = 4*h**4 + 6*h**2 + 30*h + 13. Let c(o) = -11*l(o) - 6*y(o). What is the derivative of c(m) wrt m?\nAnswer: -8*m**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107101112 divided by -26775278.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, a: 2, p: 2, v: 4}. Give prob of picking 1 v, 1 y, 1 p, and 1 e.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27459*f*x**2 - 73*f*x - 2*f + x + 76 wrt x?\nAnswer: 54918*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j**2 - 7*j - 2. Let a be (264\/6)\/4 + (-2 - 2). Determine f(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -90*t + 27. Let k(h) = -13*h + 4. What is -27*k(m) + 4*l(m)?\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/33937 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + f)*(2*f**4 - 7*f**4 + 3*f**4) + 4*f - 4*f - f**5 + 0*f**5 - 19*f**5 + 2*f**5.\nAnswer: -20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1438, -1398, -1356, -1312, -1266, -1218, -1168?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 31*p - 37*p)*(-367*p**2 + 734*p**2 - 367*p**2 + 978*p**3).\nAnswer: -65526*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, f: 10}. Give prob of picking 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 109*l**2 + 5*l + 586. What is x(-109)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) + (-883)\/4. Let g = i - -1343\/6. Find the common denominator of g and ((-2)\/(-48))\/((-2)\/(-188)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.44333 + -0.422599. Round i to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 6 = 32915*j - 32912*j, 2*j - 5*w - 7 = -0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 16*k - 861. Calculate v(22).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 22 = -j. Calculate the remainder when 149 is divided by j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 4. Let x(k) = -k - 1. Let d be x(t). Suppose -y = -d*y + 9. Solve 4*p + 5*g = y, -p - g + 2 = -0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 9*k**2 + 11*k + 12. Let z be b(-10). Let x = 2 - 2. Let w be x - 1 - (5 - 2). Sort z, -2, w.\nAnswer: w, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7316210 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4\/7, -1, -190, 11 in decreasing order.\nAnswer: 11, 4\/7, 0.2, -1, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 233225.\nAnswer: -4\/46645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -17. Let j = 9081\/712 - 3\/712. What is the common denominator of j and (-4)\/i*852\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 5:05 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52 and 1.1.\nAnswer: 53.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 969274 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 14. What is the second derivative of -4*r - v*r**4 + 0*r**2 + 0*r**2 + 15*r**4 wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -35, -50?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2545, 3198, 3853, 4510, 5169, 5830, 6493?\n\"Answer: l**2 + 650*l + 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**3 + 3*j**2 + 7*j + 6. Let g(d) = -5*d**3 - 3*d**2 - 6*d - 5. Calculate -7*g(z) - 6*t(z).\nAnswer: -z**3 + 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-108)*5)\/((-10)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710201.\nAnswer: 19, 37379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -478? (a) 1\/8 (b) 1 (c) -1\/4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -136930, -136935, -136942, -136951, -136962, -136975, -136990?\n\"Answer: -b**2 - 2*b - 136927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uccu when four letters picked without replacement from uccuuuucuucuucuuucc?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.1 - 6.8. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence biu when three letters picked without replacement from iruarib.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 947856.825 to the nearest ten thousand.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 546 = 65*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j**2. Let v = 17 + -11. Let f(u) be the first derivative of 5*u**3\/3 + 3. Determine v*y(o) + 13*f(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -80, -162, -244, -326, -408, -490?\n\"Answer: -82*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38856.\nAnswer: 2, 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 53225242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k - 9 + 29 - 9*k**2 - 11 - 11 - k**2. Let l(j) = -2 - 7*j**2 - 2 + 8*j + 3. Let m(b) = -7*l(b) + 5*z(b). Factor m(t).\nAnswer: -(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6244726 milliseconds in microseconds?\nAnswer: 624.4726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*a - a. Suppose -80 = -11*g + 74. Let u = a + g. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -5, 9, 43, 103, 195?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.271 * 14226.\nAnswer: -3855.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17492980 divided by -485.\nAnswer: -36068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -606793 divided by -6?\nAnswer: 606793\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 37, -77, -4, 2 in increasing order.\nAnswer: -77, -8, -4, -1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -11, 0, 11, 22, 33?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329376222 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -715 - -1147. What is the greatest common divisor of g and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -26*o. Let u(x) = 85*x - 1. Give u(r(v)).\nAnswer: -2210*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -6) + -12 + 2. Let i = n - -28\/3. Let p = -4 + 3. What is the second smallest value in 1, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14072495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1. Let z(x) = x + 28. Determine m(f) + z(f).\nAnswer: f + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2882 is divided by 1429.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 951738 and -273.\nAnswer: -259824474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/7 - 300*n**2\/7 - 306*n\/7 + 604\/7 = 0?\nAnswer: -2, 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -20 + (1 - -58 - (-3 + (11 - 11)))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 21. Let q be v(-9). Let w(g) = -5*g + 3. What is w(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 1. Let o(h) = -4*h + 6. Let m(l) = 5*o(l) + 30*p(l). Let q(x) = -x. Calculate m(q(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4423 - 7900*s**3 - 3169*s**3 + 3210 + 15725 wrt s.\nAnswer: -33207*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 25 - 7. Suppose -18 = x - v. Let a = 7 + -4. Sort 1, a, x in ascending order.\nAnswer: x, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 6*y**2 + 13*y - 3. Let a = -90 - -25. Let p = 72 + a. What is the tens digit of j(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04544632 and 3.\nAnswer: 0.13633896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5997.000015507 - -5997. Round d to 7 decimal places.\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 150, 196, 206, 168, 70, -100, -354?\n\"Answer: -2*g**3 + 84*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 3*k - 4. Let r be h(-3). Let t(d) = 2*d**2 + 6*d - 5. Let o be t(r). Suppose o*f + 16 = 4*f. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4377.\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/4 + z**3 - 3*z**2\/2 + 12*z + 85. Let x be o(3). Solve x*h - 6*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -14. Let r(g) = -4*g**2 + 53*g**3 - 4*g - 51*g**3 - g - 5. Let b(m) = 3*m**3 - 9*m**2 - 9*m - 11. Let s(a) = -3*b(a) + 5*r(a). Calculate s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1374, -4161, -19180, -48423, -96630, -168541?\n\"Answer: -790*s**3 - 2*s**2 + s + 2165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-231)\/198)\/(21\/(-99)))\/((-10)\/4)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/(-54) - 5)*30\/(-50)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/43472 and 94\/24453?\nAnswer: 391248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*-1)\/sqrt(5) - (sqrt(2) + (sqrt(8)\/sqrt(4))**2 + sqrt(2) + -2).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose b*f - 2 = 0, -f = -4*x - 0*f + 7. Suppose -m + 30 = x*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37223517, 37223521, 37223525, 37223529, 37223533?\n\"Answer: 4*s + 37223513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -546727, -546687, -546647?\n\"Answer: 40*i - 546767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 205, 203, 201?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1620*x**5 - 596*x**4 + 11*x**2 - 700180291*x?\nAnswer: 32400*x**3 - 7152*x**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 537784 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.61563482 - 580.38434458. Let h = t - -581. What is h rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*m - 120*m = -1111981. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12159, 25264, 38369, 51474, 64579, 77684?\n\"Answer: 13105*o - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 4)*(0 + 0 + p)*(5*p + 14*p - 7*p) as u*p + y + n*p**2 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 29 + 2*g - 29. Let c be l(1). Let b(s) = s**3 + s**2 + s + 1. Let f(r) = r**3 + 2*r**2 + 5*r. Let v(a) = c*b(a) - f(a). Solve v(o) = 0 for o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 20256. What are the prime factors of s\/28 - (3\/(-21))\/1?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 18*h + 72 - 21)*(h + 2 - 2) + 0 + 0 + h**2.\nAnswer: -17*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/75)\/((-2)\/10) - -696. Is t + 45\/12*4\/3 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*(152\/(-266))\/((-1725)\/(-35))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7051 - 7046. Solve 3*v - z*k = -8, -4*v - 4*k = 53 - 85 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let r(b) = 5*b. Let k(w) = -w. Suppose 2*u - 66 = -4*s, 2*s + 2*s = -3*u + 91. Let c(a) = u*k(a) + 4*r(a). Determine j(c(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*(sqrt(363) + -2))**2 + -1*(3 + sqrt(363)) + 0)*2.\nAnswer: -110*sqrt(3) + 730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38716286 and 7271.5.\nAnswer: -38709014.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.5512, -51, -1, -0.5 in ascending order.\nAnswer: -51, -1, -0.5, -0.3, 0.5512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-1)*3\/(-12). Let x(q) = 18*q - 38*q + 19*q + g. Calculate x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 3:47 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5682.74414 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20042\/(-68325))\/((-22)\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9401.3 + 1996780989.\nAnswer: 1996771587.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.76 rounded to 1 dp?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 6*x. Let c be l(-5). Suppose -6*w + 210338 = -c*w. Let m = -1120338 + w. What is m rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -14, 2 in decreasing order.\nAnswer: 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2028 and 28535988.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3997? (a) -2 (b) 133 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*t - 4)*(310*t - 32*t**2 - 310*t)*(4 - 5 + 0)*(3 + 14 + 2).\nAnswer: -1216*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 412115 - -3330?\nAnswer: 415445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-2 - (-2 + -1 + (7 - -6))) - 14?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 + 2713\/15. What is the nearest to 2 in -3, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014266882 to 5 decimal places.\nAnswer: -0.01427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -232920 divided by -29115?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 = -1. Let c(l) = l**2 - 2*l - 4. Calculate c(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68 minus -82783.092?\nAnswer: 82782.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 6:19 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(432) - (sqrt(432) + (sqrt(432) + 2 + sqrt(432))**2)*-1 - 5*(sqrt(432) + sqrt(432) + 1)))*-3.\nAnswer: -5178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2495 and 2436?\nAnswer: -607.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:44 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 2 - (11 - -1). Let p(j) = -j**2 - 10*j - 14. Calculate p(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/72)\/((-5)\/15)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**2 - u - 1. Let p(r) = -8*r**3 + 8*r**2 + 7*r + 6. Let l(h) = -h - 13. Let t be l(-12). Calculate t*p(z) - 6*y(z).\nAnswer: 2*z**3 - 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 17 + 5*r + 4*r - 9*r. Let i be g(-6). Is 11 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120730 rounded to the nearest one thousand?\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1928 + 1909 - (1 - (1 + 21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13017 = -2498*d + 583*d - 34082 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from shhssss.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 15 (c) 95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 - a)*(-5*a**3 - 40*a**3 - 70*a**3) as q + x*a**2 + s*a**4 + n*a + p*a**3 and give s.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-134)\/(-6) - (-1)\/(-3). Let a be (-65)\/39 - 5\/(-3). Suppose 112 = 2*g - 4*s, a*g - 310 = -5*g + 4*s. Calculate the greatest common factor of g and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 391999*s**2 - 5*s. Let c be h(-5). What is c rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*a - 121, -188 - 39 = -4*u + 5*a. Suppose t - 3 = 0, i - t - 2*t = -12. Let p = i + u. What is the remainder when p is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1599 or -1538?\nAnswer: -1538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + 34\/8. Suppose 2*q + 84 - 108 = 0. Solve -4 = o*d + q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1635\/(-1635))\/(-1*3\/(-96)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/14 of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.4, 63, -3, 6, -0.054?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18318 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 10) in base 5?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63.776823351 and 1.34.\nAnswer: 65.116823351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 5*b + 24. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/9 + -8\/45. Let a = -1.8 + -0.2. Sort a, -0.3, s in ascending order.\nAnswer: a, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 34 = -2*q, -3*o - 18037 = -4*q - 18011 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/18 and 61\/34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-8)*(-13)\/(-5) and 97\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdw when three letters picked without replacement from odoedowdoweeodo?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - 6) - (39 + -29).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*i + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 226, 508, 902, 1408, 2026?\nAnswer: 2756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13169*k**3 - 3*k**2 - 2*k + 1461554 wrt k.\nAnswer: 39507*k**2 - 6*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 10\/3)*-3. Suppose -17*f + 10*f + 35 = 0. Solve 3*g - w = y + f, 0 = 3*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4993? (a) 1\/7 (b) 2.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 6 - 6)*((171 - 171 - 3*k)*(0 + 0 - 1) - 3*k + 0*k - 2 + 2*k).\nAnswer: 6*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -40. Let r(k) = k**2 + 2*k - 5. Give r(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d = 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-6 - (-9 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.617 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 5:15 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 18. Suppose -448 + 148 = -q*p. Let r be (-30)\/27*-75*p. Round r to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 8. Sort -5, k, 7.\nAnswer: -5, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7019530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 0*m**5 + 2*m**5 + (9*m**4 - 31 + 31)*(-6*m - 2 + 5*m + 11*m).\nAnswer: 89*m**5 - 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -210853, -421705, -632557, -843409, -1054261, -1265113?\n\"Answer: -210852*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93910703?\nAnswer: 17, 5524159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from fyyfddffydddf?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 105 = -16*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 72 = w, 2*w + 44*k - 43*k = 102. Which is the third biggest value? (a) 4 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvvhhvhhhcvzhvchzh. What is prob of picking 2 h and 1 z?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8.74 + 358862245\nAnswer: 358862236.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224 + 25*p**3 - 224)*(3*p + 4 - 4) - 2*p**4 + 2*p**4 + 2*p**4.\nAnswer: 77*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 41 + 23 - 46?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -2, 143, -4, -1036 in increasing order.\nAnswer: -1036, -4, -2, -1\/11, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 14*u**2 + 14*u + 3. Let t be w(15). What is the units digit of (2\/(-6))\/(t\/3060)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.49 - 16.49. What is the fourth smallest value in 20, 0, w, -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 65196116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1200 and 2264.\nAnswer: 339600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z + 47. Give w(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 883866019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1170884*-2.7\nAnswer: -3161386.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 11*f - 27. Let l be b(-20). Let g = -155 - l. Calculate the greatest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 16. Suppose 0 = -2*y + y + c. Let n = 105 + y. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 17*o - 36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2513 - 51\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 185, 378, 607, 848?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 6*m - h + 28, -4*h + 34 = -2*m. Let i(v) = 3*v + 23. Let w be i(m). Is 2 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/35*150\/6?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 558 and 1229181.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 56627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 + -23900136.103\nAnswer: -23900135.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432013 + 2113231?\nAnswer: 1131213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17981*f + 17980*f + 42 - 5.\nAnswer: -f + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126175 is divided by 2872.\nAnswer: 2679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/13 (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279260.\nAnswer: 2, 5, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 + 17*a - 10 + 13*a**2 - 8*a**2 - 6*a. Let x be j(-12). Suppose 3*u - 29 + 14 = 0. Solve x*r + u = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 11704, 1\/7, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -0.34438 (b) -0.4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7809200 to the nearest integer?\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -9 + (-1 - 32).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19268 and 40111159.\nAnswer: 160444636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20256 and 2708818?\nAnswer: 130023264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 894*l**2 - 103. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 + 30 - (1 - 1)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/1 - 58\/(174\/(-588393)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -198485.\nAnswer: -277879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111101001 (base 2) to base 16.\nAnswer: 7e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 8*h + 7. Give a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkqcvvkvvqv. Give prob of picking 1 v, 1 c, and 1 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/3))**(1\/20)*((g\/g**(-7))\/g*g)\/(g**(2\/5)\/g) assuming g is positive.\nAnswer: g**(259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -39. Does m = 13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -473044 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 11) to base 13\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(-1 + sqrt(475)) + -3)**2.\nAnswer: -280*sqrt(19) + 7649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200210010 - -12012?\nAnswer: 200222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 35 - 24. Is h bigger than -14\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 - -263. Find the first derivative of 4*d**2 - 13*d**4 - 3*d**2 + 337 - d**g - 306 wrt d.\nAnswer: -52*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436795456 divided by -6428?\nAnswer: 67952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4)\/f*f**(-5)\/f)\/(f**(-1\/5)\/f)**16 assuming f is positive.\nAnswer: f**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 5:21 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**2 + d - d)*(-10055 + 14939 + 22404 + 8060 + 44941 + 8528) in the form t + s*d**2 + o*d and give s.\nAnswer: 177634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3\/(27\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1502*o + 1683*o = -9050 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 2990520?\nAnswer: 2990520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c - 126. Let v = 131 - 54. Let z = c + v. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**8\/6720 - j**7\/630 - j**6\/240 + 61*j**4\/12 - 75*j**2. Let u(y) be the second derivative of v(y). Factor u(q).\nAnswer: -q*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2525, 1863, 1203, 545?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 34 - 38. Solve x - 2 - u = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-8))\/1 - 1248\/896?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 10 + 8)*(2 + 4 - 5)*(-2*a + 3*a + 0*a).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -529801696 divided by -4?\nAnswer: 132450424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 112593 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: Two letters picked without replacement from vulwvvbvwvwvuvvvv. What is prob of picking 2 u?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21616636101 + -4.\nAnswer: -3.78383363899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n**2 + n - 4. Let m be r(0). Let w(f) = -4*f + 4. What are the prime factors of w(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-4)\/24 - 2\/(-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*a*n**2*w**2 + 2*a*w**3 - a*w + 55*n**2*w + 2*n*w**3 wrt a?\nAnswer: 25*n**2*w**2 + 2*w**3 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**5 - 520*d**4 + 3000*d**3 - 5930*d**2 + 4915*d - 1470 = 0.\nAnswer: 1, 3, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*j + 32*j - 8*j.\nAnswer: 115*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21435939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 58846.\nAnswer: -1\/29423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -5. Let w = u + 6.0006. Round w to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 13146.1?\nAnswer: -657.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2804 = -11*w + 7063. Suppose 9588 - w = 3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 7709*v + 138843\/2.\nAnswer: -(v - 15427)*(v + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-577 + 577 - 57*j)*(2 - 3 + 2) + (-3 + 4 + 0)*(0*j + 3*j - 2*j))*(-2*j - 3 + 3).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = 0. Let u(s) be the third derivative of s**4\/8 - 25*s**3\/6 - 10*s**2. Let c be u(9). Solve g = c*t - 3*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -450*p**2. Let x(o) = 0*o**2 - 3*o**2 - 3*o**2 + o**2 + 4*o**2. Give x(w(q)).\nAnswer: -202500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 7:35 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 0.13 (c) -10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 1, q: 4, p: 1, f: 3, s: 4}. What is prob of picking 1 n, 1 f, 1 u, and 1 p?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrwrrwwwwwr. What is prob of sequence rr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 + 6*z - 3. Let b be u(2). Let d be (-4)\/b - (12 + -12)\/4. Factor 3*c**3 + 0 + 11\/3*c**4 + d*c**5 + 1\/3*c**2 - 1\/3*c.\nAnswer: c*(c + 1)**3*(4*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + 2*l)*(2*l**4 + 2*l - 2*l) + (-41094*l + 726*l**4 + 41094*l)*(0 + 0 + 2*l).\nAnswer: 1450*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s + 38. Let l be d(-7). Suppose -4*n + 5 = -l. Suppose n*m - 29 - 9 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75688.92ms in seconds?\nAnswer: 75.68892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 15975793?\nAnswer: -2\/15975793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1931*u - 1 + 1.\nAnswer: -1931*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + -4.19. Which is the third biggest value? (a) 0.5 (b) -1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-28)*(-118)\/(-1) and -41\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. Suppose 10*s - 9 = 7*s. Suppose -j*b + 7 = -s. What is the remainder when 4 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b. Let m(i) = 5*i. Let w(y) = 6*a(y) + 7*m(y). Let h be 3 + 3\/(6\/8) + -4. Let z be w(h). What is the highest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (-3 + -3 + sqrt(19) + (sqrt(114)*2 + sqrt(114))\/sqrt(6))**2)*5.\nAnswer: -240*sqrt(19) + 1690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, 3\/3268, 101, 3?\nAnswer: 3\/3268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + 94\/10. Let w be -4*(-6 + 8)\/(-4). Solve -i - 3*k - 1 = -w, 3*i + 3*k = u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(i**3 - 4*i**3 + 2*i**3) + 0*i**3 + 0*i**3 + i**3 + 3 - 3 - 2*i**3 + 0 + 2*i**3 + 0 - 2*i.\nAnswer: 3*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Suppose i = 3*q - 7. Let n = -792 - -788. Put 2, q, n in decreasing order.\nAnswer: q, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 minus -6?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -844 = 3*o - 211. Let q = 66 - o. Does 36 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -1 + 10, -p - 9 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13461603?\nAnswer: 3, 17, 263953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*p - p - 2*z, -2*z = -2. Suppose -p*b + w + 3381 = b, -4*b + 2696 = -3*w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63904277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 1 c when three letters picked without replacement from {c: 1, r: 1, e: 2, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h**2 + 25. Let p(a) = -a**2. Give -m(x) - 6*p(x).\nAnswer: -4*x**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1778383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36871406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 16 + 8. Solve -4*w - y*x + 6 = -x, -2*x = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13.06 in 2, -0.5, 0.4, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 13*t**2 - 19*t - 204. What is n(-13)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8502, -8531, -8580, -8649?\nAnswer: -8738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5))**(-2\/35)\/(v**5*v**(2\/19)) assuming v is positive.\nAnswer: v**(-17089\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -c6538 (base 16) to base 12\nAnswer: -332134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*n - 811, -137 - 474 = 3*t - n. What is the tens digit of t\/8*-4*4\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 9*o**2 + 6. Let d be u(8). Suppose x + x = d. Suppose 3*c + 3*b - x = -11, 24 = 5*c - 3*b. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2757, 2761, 2767, 2775, 2785, 2797?\nAnswer: 2811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*b - 8313 = -0*b, 0 = s + 3*b - 2074. Is 2 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*((-3*(sqrt(1300) - (-2 + sqrt(1300))))**2*-5 + 2) + -1)*4.\nAnswer: -6412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 63788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a1286 - -a?\nAnswer: 1a1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -674 divided by 1?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 7. Let r be -7 + ((-3)\/(-4))\/(3\/12). Let k(z) = -3*z - 20. Determine r*k(j) + 11*m(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 507954018 divided by -169318006\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from {d: 1, m: 5, j: 4, c: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-22)*f)\/(f**(-3\/11)\/f*f))**(2\/79) assuming f is positive.\nAnswer: f**(-456\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -227*g - 307. What is the lowest common multiple of a(-9) and 20?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3 - (-3 - -10)) + 15 - -14?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 times -0.05\nAnswer: 0.00365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8 (b) -2 (c) -158.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.7 - -23. Let m be 1\/3 + 2\/(-3). Is i at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by -6\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1297, -1303, -1309, -1315, -1321, -1327?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c**2\/2 + 6785*c\/2 + 2895 = 0. Calculate c.\nAnswer: -193, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210000122 (base 4) to base 9.\nAnswer: 683810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -3332.\nAnswer: 1\/3332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*m - 2348, m + 503 + 663 = 2*h. Suppose -116 - 5 = -g + w, 0 = -5*g - 5*w + h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1434506*u + 10041549. Give f(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2. Let w = -23 - -33. Let x(u) = -5*u + 3*u + w*u + 16*u. Calculate h(x(o)).\nAnswer: -1152*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2. Let o(l) = 903*l**2. What is o(s(z))?\nAnswer: 14448*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -372*p + 339*p. Solve -4*m - 12 = 2*y, p*m + m + 16 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5624 and 521922.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 - 115 = 8*v - 45*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6 + 7 + 11 - 3*t + t**2. What is the least common multiple of c(12) and 20?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 0.5 (c) -2\/9 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1) + 26\/(702\/81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 7:57 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21732859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030204 take away 0?\nAnswer: -0.0030204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5427528194 to the power of 1\/2, to the nearest integer?\nAnswer: 73672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 4*g**2 - 11*g - 3. Let a(k) = k**2 - k + 1. What is -3*a(p) - w(p)?\nAnswer: -p**3 + p**2 + 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 326*w**2 + 206*w + 88. Does 136 divide v(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68.02 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*l + 0 = -6, -3*l + 9 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjqj when four letters picked without replacement from {g: 1, j: 3, q: 5, h: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - j + 7, -5*n - 3*j = -n - 11. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millennium in decades?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11857500 and 20460.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/7327 and 41\/3017.\nAnswer: 51289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from edddudddedddded?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/7 - 20*b**2\/7 + 16*b\/7.\nAnswer: 4*b*(b - 4)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308.4686 - -0.4314. Let p = n + -309. Sort -4, p, -2.1 in increasing order.\nAnswer: -4, -2.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365076.2005 rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1073.251 - -1073. What is i rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 198 - 6 = 0. What is the remainder when 35 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7*z = -3*c + 76, -5*c - 60 = -5*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -5. Let q = s - 5. Let z(k) = k**2 + 4*k + 1. Calculate the remainder when z(q) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50 and -1.165.\nAnswer: -58.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 305483 + 467274. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - (-530)\/45 - (-2)\/9. What is the remainder when (-3)\/(45\/(-785)) + f\/6 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 19 + 1. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 19. Let n = 73 + -64. Let z = o - n. Solve 6*w - z*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -932 + 925 + (1 + -1 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.11 - -4.11. Let z be 1\/6 + (-1)\/(-3). What is the nearest to z in 2\/19, t, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 131. Let r(s) = -4*s**2. What is i(r(n))?\nAnswer: -12*n**2 + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 1. Let r = -0.1 - 0.23. Let t = 0.03 + r. Which is the third smallest value? (a) t (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16275 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g + 24*g - 12672 = 0. Calculate the remainder when g is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 8) + -3 + -3 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -43. 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: What is -6 divided by 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -120?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38044.\nAnswer: 2, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b + 15. Let h = b - -14. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + (-4 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 14*o + 222 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 + -6. Let z = 0.02 - 0.62. Let b = n + z. What is the smallest value in b, -3\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.1706 weeks in milliseconds?\nAnswer: 247466378880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 3. Let g be (d - (-32)\/5) + -3. Which is the third biggest value? (a) g (b) 0.2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*w + 5 = 37, -w = -y + 1. Let n(a) be the second derivative of a**5\/20 + a**4\/3 - a**3\/6 + 6*a. Calculate n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363309.\nAnswer: 3, 347, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 5 - 1258355*m**3 + 1258243*m**3 - m to p*m + n*m**3 + d + h*m**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 19 - 9 + 2*p.\nAnswer: 2*p - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 112. Let q = -1195.2 + 1089.07. Let d = w + q. What is d rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -386*b - 398*b + 750*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(480)*2)\/(sqrt(12)\/sqrt(2)*-6).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -141 in 4, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 639 - 841. What is i rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(12)\/(1*sqrt(4)*-2) - ((3*-2*sqrt(3) - sqrt(3)) + 0)**2).\nAnswer: -144 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from givgivggvgigggvi. Give prob of sequence iv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*s = 612747 + 643243. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (18 - 15) - -30.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = z + 2*z - 12, -4*z = -4*s. Let d(g) = -g**3 + 2*g + g**2 + 0*g + 1 - g. What is d(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 11:35 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.967 + -2.607. Which is the nearest to -1? (a) 2 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(((-6)\/(-9))\/(12\/27)). Is o greater than or equal to -25\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 61290321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18331 is divided by 375.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5555 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsajmxjmaxaaaa. Give prob of sequence samx.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14867 and -1.7.\nAnswer: -25273.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -1000?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5 - 25 = 0. Solve 5*q = -a - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:19 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228773160 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7438362 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 9. Suppose -q*u = x - 10 - 3, 4*x - 14 = 3*u. What is the third derivative of 5*s - u*s**6 - 5*s - 2*s**2 wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuwwuuuuuuwwuuuuuuw?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 4*y**2 + 4. Let z(g) = 5*g**3 - 19*g**2 + 21. Let h(b) = -11*r(b) + 2*z(b). Let p be 1\/((8\/40)\/(3\/(-5))) - -9. Calculate h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204822*t**3*x**2 + 2*t**3*x + 95142*t**3 - 2*t**2 - t*x - 94*x**3 - 4 wrt x.\nAnswer: 409644*t**3 - 564*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5443, -5445, -5447, -5449, -5451, -5453?\nAnswer: -5455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(-2)*-2*(-23 - (-333)\/15)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 56 = -13*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, x: 4, j: 9}. What is prob of sequence oo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + 1.2. Let w = -3.3 + n. What is the third smallest value in -0.2, -1\/2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28068*s**3 + 14030*s**3 + 14030*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4477 and 1815.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3111 = -8*t + 25*t. Which is smaller: -181 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*3\/9 - -2. Suppose -3*x = -5*r + 163, -2*x = -v*r + 2*x + 54. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*(-3 - 0). Let h be 2\/(t - 15\/9). Let r = h + 11. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/7)\/((-2)\/(80\/10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 58?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-15)*(-19)\/57. Let j be (-3 + -1)\/((-4)\/(-10)). Let l(x) = -x**3 - 11*x**2 - 13*x - 3. Let m be l(j). Is f at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -115 (b) 0.4 (c) -1\/9 (d) -3889\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/74 and -5\/26506.\nAnswer: 980722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 18*d + 34. Determine u(12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4348*v + 1 = 4347*v. Are v and -6\/5573 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456757 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -110, -246, -498, -884, -1422, -2130, -3026, -4128?\n\"Answer: -3*i**3 - 40*i**2 + 5*i - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/15 + 3*p**4\/8 + 2*p**3\/3 + 16*p**2. Let x(a) = 2*a**2 + 4*a + 2. What is -6*h(f) + 13*x(f)?\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, 11, -0.3, 4 in decreasing order.\nAnswer: 11, 5, 4, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:25 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7125220?\nAnswer: 2, 5, 356261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:22 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) - sqrt(26)*-1)*-5 - sqrt(26))\/sqrt(2).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23.8013 and -16042?\nAnswer: 16018.1987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1047*f**2 + 269. Let z(l) = -278*l**2 + 67. What is 6*b(v) - 23*z(v)?\nAnswer: 112*v**2 + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5 - 54*o**4 - 1548*o**3 + 1830*o**2 + 8073*o + 4752 = 0.\nAnswer: -16, -1, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/s**(-6)*s*s)\/s)**(-2))**(8\/5))**(12\/7) assuming s is positive.\nAnswer: s**(-1728\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9752.99 hours?\nAnswer: 585179.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*h - 250*h + 732*h - 241*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 634167 to the power of 1\/2, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -525244 + -4012?\nAnswer: -532256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 475 - -331. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i - 9. Let s be b(3). Suppose -s*z = 5*r - 156, -4*r = -9*r - 4*z + 158. Which is smaller: 29 or r?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -17*a + 6300. Is a a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3984383?\nAnswer: 13, 306491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - n**2 - n**3 + n - n + n**3 + (-n - n + n)*(-3*n**2 - 2*n**2 + 4*n**2) - 4*n**3 + 2*n**3 - n**3 + (-4*n + 3*n + 2*n)*(0*n**2 - n**2 - n**2).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(1 + -3 - -1). Let j = p + -11. What is the third derivative of r**2 + r**2 + 4*r**j - 2 + 2 wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 - 103. Let m = -40 + v. Suppose 6 + m = 2*o + b, 18 = o + 2*b. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2313, 1, 67 in ascending order.\nAnswer: -2313, -2, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 157560*d + 1102889. Determine w(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36352390000 rounded to the nearest 1000000?\nAnswer: 36352000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/37? (a) -1\/2 (b) 0.2 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.351708nm in micrometers?\nAnswer: 0.006351708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -51. Solve p*b + 5 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*(-7)\/56*4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 32. Suppose 5 = -c + r. What are the prime factors of (40 - -3)\/(1\/c)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1576, -3151, -4726, -6301, -7876?\n\"Answer: -1575*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 421 * -4\nAnswer: -1684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:27 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**34*(r**1)**(-2\/61) assuming r is positive.\nAnswer: r**(-2076\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p - 460 - 741 - 35 = 909 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -t - 3*z - 0, 5*t - 5*z + 25 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 3. Let i be (-8)\/3*6\/(-4). Let x be k(i). Let d be (-1)\/x - 1089\/(-45). Calculate the greatest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 415\/30)\/((475\/665)\/((-2)\/14)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + u = -k - 7, -k - 4*u + 6 = 0. Suppose -k*o + 1 = -135. Let l be o\/85*(-10)\/(-2). What is the highest common divisor of 32 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777 is divided by 921?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -219 - -673\/3. What is the common denominator of h and 1\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-13 + 26 + -11 + -38)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 405*c**2 + 0 + 834*c**2 - 429*c**2 - 1 - 15*c**3 + 7*c**4 in the form r*c**4 + j + s*c**2 + x*c**3 + w*c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5862 (base 12) to base 14.\nAnswer: -384a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 5*v - 1. Let y be n(4). Let k(o) = 2*o**3 + 8. Let c(q) = -q**3 - 3. Determine y*k(h) + 8*c(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5910*b - 41378. Calculate f(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38858650 is divided by 9714639.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 161608.47?\nAnswer: 48482.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/506044 and 3\/13888.\nAnswer: 8096704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2934)\/(-2) - (-30)\/10. Suppose -2*m = 3*m - p. Is m a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11743\/2 - 5871. What is the closest to t in 1\/4, -1, 2\/5, 0.62?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 5480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -8 + 3 - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -0.1, 31, -0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2 - 9*s + 6. Let q be d(3). Put -1, -5, q, 3 in ascending order.\nAnswer: -5, q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411053446 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3*z - 4*o**3 - 459*o**2*z - 825*o wrt z?\nAnswer: -o**3 - 459*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -2\/11 (c) 4 (d) -4 (e) -7 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-15))\/((-296)\/(-80) - 4). Put -8, 12, l, -4 in descending order.\nAnswer: 12, l, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 44*j**2. Suppose -16 = 3*m - 2*a, 12*m + 11 = 11*m - 5*a. Let y(t) = t**2. Let g(o) = m*y(o) + q(o). Let r(b) = 3*b**2. Calculate g(r(k)).\nAnswer: 342*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/23, -3\/5, -10638, -2 in decreasing order.\nAnswer: -3\/23, -3\/5, -2, -10638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 3*f**3 + 0*f**3 + (-1 + 0 + 2)*(f**3 - 2 + 2) - f**3 + 2*f**3 - 3*f**3 - 3*f**3 + 40*f**3 - 4*f**3.\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 317*c - 1585. Is 28 a factor of b(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/(-1)*1. Solve o = -3*n - 11 - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -11.\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + 3*b)*((-4 + 2*b + 4)*(-5 + 5 + 4*b**2) + b**3 - 1 + 1).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/3 - 67*m**2\/3 - 285*m - 663 = 0. What is m?\nAnswer: -51, -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4499639 is divided by 174.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272368, -544739, -817110?\nAnswer: -1089481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96 + 2173?\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33.041 and -31.\nAnswer: 2.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/28)\/l)\/(l\/l**(-19)*l))\/((l**(-2\/9)\/l)\/l*l*l**(-3\/11)) assuming l is positive.\nAnswer: l**(-56939\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 2)*(-4 - g**2 + 4) - 64*g**2 - 19*g**2 - 40*g**2 to a*g**2 + f + p*g and give a.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -410?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 1, z: 2, a: 2, o: 1, h: 2}. What is prob of sequence hqa?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -37. What is the lowest common multiple of d and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-36) - -3)*(-13 + 525\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19548 and 8412.\nAnswer: 13703148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 less than 628803.6?\nAnswer: 628821.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.621216 and 1.\nAnswer: -3.621216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1558 (base 11) to base 14.\nAnswer: a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) 2 (c) -14 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {w: 8, e: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1706\/3 - 574. Find the common denominator of r and (-6)\/(-15) + 344\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 3*o - o)*(4 + 4 - 6) + o - 2*o + 0*o + 243*o - 105*o - 64*o as w*o + d and give w.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -33*d - 498. Calculate r(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*t + 47*a - 44*a + 19, 5*t = 3*a - 77 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + -3. Let l be 210\/36*(-1 + 9). Let k = l + -47. What is the second biggest value in -0.1, o, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6 = -3*q, k + 12 = 4*q + 2*k - 8 + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 1387 - 732 = 0. Let n = -149 + f. Let g(p) = 4*p**2 - 3*p + 10. Calculate the remainder when g(5) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-5) + (-17)\/(-85). Factor 13 + 11 + 3*o**2 + 15*o - 2 - x - 8*o**2.\nAnswer: -5*(o - 4)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113203*t**4 + 30*t**3 - 112*t**2 + 838*t + 6.\nAnswer: 2716872*t + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 2 - -4) + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3394)\/39 - (-1)\/(-3). Let p = v - -263\/3. Let s = 38\/39 - p. Which is the closest to s? (a) -3 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let j(t) be the first derivative of 2*t**3 + 28*t + 1127. Calculate j(i(b)).\nAnswer: 6*b**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:39 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64889, 65052, 65215, 65378, 65541?\n\"Answer: 163*j + 64726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 348*q - 350*q + 0 in the form i + r*q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -7 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.3, -34, -2\/165, -3, 1 in ascending order.\nAnswer: -34, -7, -3, -2\/165, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 486\/(-8856)*((-7)\/(-1) + (-366)\/54)?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*g**2*r**3 + 87*g*r**3 - 20*g*r + 3*r**3 wrt g?\nAnswer: 252*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -892863.84654 + 1409655.84685. Let r = 516780 - s. Let l = r - -12. Round l to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -29 - (9 - (34 + (9 - 6)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 19*t**2\/2 - 5*t - 12. What is the first derivative of k(p) wrt p?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 + 0 = 3*k, 0 = 3*z - k - 4. Let q(v) = -v**2 + 3*v + 1. Let m be q(z). What is the third biggest value in 1\/9, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = 56*a - 7470. What is the least common multiple of 140 and a?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 - 0.4. Let l = d - -5.1. Suppose 0 = -2*g + 5*t - 26, 30*g - 11 = 35*g + t. Which is the third biggest value? (a) l (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2. Let x be (11\/(-2) - -4)*-2. Let p = x - 2. Let h(f) = p - 3*f**2 + 2 - 3. What is n(h(i))?\nAnswer: -45*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 717.4.\nAnswer: 286.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 687 (base 12) to base 3\nAnswer: 1022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0.4, 113, -0.1, 3613 in descending order.\nAnswer: 3613, 113, 5, 4, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101111001001100 (base 2) to base 8.\nAnswer: -1257114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12db1 (base 15) in base 9?\nAnswer: 101844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/12*(6 + -2). Solve t = -x + 3*r, 3*r = -2*x - r - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:45 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255355, -510738, -766109, -1021462, -1276791, -1532090, -1787353, -2042574?\nAnswer: -2297747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssxlslllsssslll. Give prob of picking 1 s and 1 x.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192 - -98. Suppose -4*n - 16 = 0, -k + o + 10 = 3*n. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 6 = 8*c + b, -c + 19 = 5*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/5)*y**(-4\/3))**(-2\/33))**(-48) assuming y is positive.\nAnswer: y**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 117\/12 + (-3)\/4. Let m = 208 - t. What are the prime factors of m?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.652209ns to days.\nAnswer: 0.0000000000009797709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -26, -100, -238, -458, -778?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59500)\/(-21250))\/(26\/(-10))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 128*p**3 + 4*p**2 + 8*p**4 - 2*p**5 - 118*p**3 + 4*p**5.\nAnswer: 2*p**2*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5 - 1 + 0 + 0 + (-6 + 3 + 4)*(3 - 5 + 1) - 4 + 0 + 2 - 3 - 1 + 2)*(-9*t + 4*t - 4*t).\nAnswer: 45*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 460120658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -207*(-35)\/(-70)*(-30)\/(-45)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 5*o + 28. Let b be u(-5). Solve 0*i = -3*i + 4*x + 5, -b*i - 13 = 5*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -0.04, -5, -12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.2 - 41. Let v = 8.2 - -1.8. Let m = 0.03 + -5.03. What is the closest to -0.1 in m, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = 56. Let u(s) = s + 11. Let p be u(-9). Suppose 4 = -p*a, -3*f = -5*f - a + 52. Calculate the remainder when f is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1500687639 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -224 - -237. Which is the nearest to 0? (a) 0.2 (b) y (c) -0.04 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -25*i**2 + 3*i + 45. Differentiate h(z) with respect to z.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.36 + -17.3. What is the biggest value in 2, b, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11 = 3*h, -3*g + 1 = -3*h + 10. Let k = 446.3 + -446. Which is the biggest value? (a) h (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -442 (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -84*f - 19. Suppose 0 = -7*g - 6 - 8. Let s be r(g). Suppose k + s = x, -3*x - 604 = -7*x + 2*k. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 3*m**2 + 4*m. Let f(s) = 16*s**2 - 8*s - 12. Let a be f(-3). Suppose -4*o + a = 20. Calculate the remainder when z(-7) is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20962340 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4070 + 1365 + 543*k + 1350 + 1357.\nAnswer: 543*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, n: 2, x: 4, r: 3, i: 4}. What is prob of picking 1 i and 3 r?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200102 (base 3) in base 11?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n - 483. Determine s(-27).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1.2, -0.4 in descending order.\nAnswer: 4, 3, 1.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 176*r**2 - 506*r - 115883. What is c(74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8352 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*h + 7*h**3 - 9*h**3 - 6*h**3 - 259*h.\nAnswer: -8*h**3 + 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-912)\/(-16))*(-1)\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 99*b**2 - 56*b + 44. What is the smallest common multiple of n(-5) and 4976?\nAnswer: 44784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -1023, -2006, -2987, -3966?\n\"Answer: d**2 - 988*d + 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 95144 times 0.5\nAnswer: 47572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggwggoogwgg?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -524.8 - -525. Let u = 1 - 2. What is the closest to -2 in f, u, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-23 - -10) + 63 - (2 + 8))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g**2 - 4*g)*(1 - 1 + 2*g)*(2 + 9 - 2).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -19 - (10 + (-27 - -8) + -3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13180818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 802\/(-12)*(-21 - -15). Let m = z + -401. Solve i = -m*i - 1, 3*i + 8 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*q = 3998, -2*u - 1267 = 4*q - 5269. Suppose -13*a + u = -5365. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2\/11*u**2 - 2\/11*u - 4\/11 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 368*l - 5071. Let b be w(17). Calculate the greatest common divisor of b and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**5 - 2*r**2 + 14*r**3 - 14*r**3 + (-2*r**2 - r + r)*(-r**3 + 2*r**3 - 3*r**3).\nAnswer: 8*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/7 - 152423*o**2\/7 - 914511*o\/7 - 1371753\/7 = 0 for o.\nAnswer: -152417, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161087 - -23817. Let j = o + -184903.8869588. Let z = j - 0.113. What is z rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 178418 from 1821991247.\nAnswer: 1821812829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {p: 1, s: 2, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -121*j**3 - 13*j**2 - 11*j + 3. Calculate w(-1).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1301.2 + 1302. Which is the smallest value? (a) 1\/6 (b) 0.4 (c) t (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:22 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67\/2 + 34. Let r(z) be the second derivative of -z**2 + 1\/6*z**4 - 3*z + f*z**3 - 3\/20*z**5 + 0. What is r(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 1, 35.\nAnswer: 0.3, 0.5, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20136881.\nAnswer: 2389, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 475365533?\nAnswer: -475365531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 46 = 3*a - 5*a, 0 = 5*a - 15. Solve 36*r - x = 32*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11.1051 millilitres?\nAnswer: 0.0111051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.136, 5, 2, -128 in decreasing order.\nAnswer: 5, 2, -0.136, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let g(k) = -21*k**3 + 2*k**2 - 8*k - 16. Let o be g(-2). Suppose -2*v = -2*b + v + 89, 4*b - o = q*v. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(5)*2*-1.\nAnswer: -9 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*b - 18, 299*b + 0 = 298*b - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 343315440*a - 7366593208899600.\nAnswer: -4*(a - 42914430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 23*y + 17. Let b be r(7). Differentiate -13 - 47 + 11*a + 3*a**3 - b*a + 3*a**3 wrt a.\nAnswer: 18*a**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2306440 divided by -230644.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y + 9. Let g = 21 + y. What is the greatest common divisor of g and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1981*m = 2159*m + 20254 - 6192 for m.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1287, -1273, -1263, -1263, -1279, -1317, -1383?\n\"Answer: -h**3 + 4*h**2 + 9*h - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2548 and -39\/4058.\nAnswer: 5169892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*4\/69. Let o = 42 + -41.8. Which is the third smallest value? (a) -4\/7 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31450656.000455 + 31450567. Let z = 89 + q. What is z rounded to five decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -13. Let w = -8 - i. Let z(n) = -7*n**3 - 2*n - 1. What is the lowest common multiple of w and z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t - 17. Determine s(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + (1 - 0 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4318680 and 2920.\nAnswer: 4318680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 2, r: 4, p: 2}. Give prob of sequence ep.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 + -4 - -10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*(sqrt(175) - (2*(sqrt(175) - 1*sqrt(175)) - sqrt(175))))**2 - (sqrt(14)\/sqrt(72) + sqrt(1008)*2)).\nAnswer: -145*sqrt(7)\/6 + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7480044)\/79380 + -1*(-1)\/(-5). Let z = i - -808\/9. Let j = -7327\/490 - z. Calculate the common denominator of 7\/10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + x + 430 = 0, 144 = -3*f + x - 114. Let y = f - -205\/2. Find the common denominator of y and 1\/4 - (-66)\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1679 < 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-1\/3))**14*(w**(-7)*w)\/(w**(-1\/6)*w*w))\/((w**(-2\/3))**(-6\/13)\/((w*w\/w**(-1\/11))\/((w\/w**4)\/w))) assuming w is positive.\nAnswer: w**(6087\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 + -2.63. Let x = 2 + m. Suppose d = -d - 4. What is the second smallest value in 2\/5, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -231754 + 2914?\nAnswer: -228840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3058, 6082, 9104, 12124?\n\"Answer: -l**2 + 3027*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z - 11. Let k be p(-3). Let a(b) = b + 1. Let g be a(3). Let v(i) = -6*i**3 - 1. Let l be v(-1). Solve -l*y + 20 = -5*r, 2*y - k = -r + g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a - 8. Does 18 divide (2\/a)\/((-1)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27763 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)\/(23 - 24). Let l(z) = 2*z + 20. Let n be l(-5). Let f(w) = -2*w + 18. Let d be f(n). Put d, h, 47 in decreasing order.\nAnswer: 47, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 16*s - 3. Give a(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t + 0*t**3 + 0*t**3 + 15 + 7*t**3 - 2*t**2 - 5*t**3. Let h be s(4). Let c = 175 - h. Calculate the remainder when c is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.56 + -3.3. Let d = s - -10.74. Let r = d + -10.6. What is the third smallest value in -1\/11, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 158\/59351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -3*m - 2*m. Let x = m + 148. Let o = -124 + x. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 39*d**2 + 50*d + 1149. Let n be w(-38). Calculate the greatest common divisor of n and 1638.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2230\/9 + -248. Let p = 109 + -543\/5. What is the closest to -0.1 in p, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 19056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 398420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1263*s - 5064. Calculate r(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10769500877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266508 and 56285009?\nAnswer: 7403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 2. Let n be 3\/(-3*b\/6). Suppose -n*u + 14 = -25. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Suppose -4*k - 4*w = -104, -2*k - 10 + 56 = -w. Suppose -4*o + k = 2*c, -6 = -o - 2*c + 6. Let m be r(o). Put 0, -5, m in decreasing order.\nAnswer: 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 98.06. Let t = k + 0.06. Let d = -0.28 + -0.02. Do d and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*u + 2*u + 5*g, -4*u + g = -2. Is u not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 50 - 46 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -57 (b) 0.007 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uguhhsgsscsschugsss. What is prob of picking 1 u, 2 g, and 1 c?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38028298 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2443, -2474, -2583, -2812, -3203, -3798, -4639, -5768?\n\"Answer: -7*q**3 + 3*q**2 + 9*q - 2448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 e when four letters picked without replacement from memmeee?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -91\/3, -3, -0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 less than -3?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**11*j)\/j**8)\/((j**(-15)*j)\/j**(-10)) assuming j is positive.\nAnswer: j**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 17401995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(-u + 0*u + 3 - 1).\nAnswer: -3*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10231242 + -4?\nAnswer: 10231234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3981*x + 1604364. Calculate s(-403).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 3*u + 0*u + (0 - 3 + 1)*(-5*u + 3*u - 2*u) + 13 - 13 - 5*u to the form s*u + r and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/22 - (-6 + (-248)\/(-88)). Does 38 divide (-2)\/((j - 4)*-2)*-304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgegh. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2296 divided by -328?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/105 - (-5426)\/(-210))*-7. Put a, -4, 3, -17, -5 in descending order.\nAnswer: a, 3, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245184686.\nAnswer: 2, 6907, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 79196432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/65258 and -53\/261032.\nAnswer: 261032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11561*q + 92507. Calculate r(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 + 40*o**2\/7 + 192*o\/7.\nAnswer: 2*o*(o + 8)*(o + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 s when three letters picked without replacement from {s: 2, g: 7, t: 1, l: 4, i: 3}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 167, 2, -5 in ascending order.\nAnswer: -5, -2, 2, 3, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u = 45*u - 18*u - 17, -17 = -3*h + u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*a + 10 = 2*u, -2*u + 7 = -a. Suppose 2*y + 2*c + 6 = -0*y, -u*y + 24 = -5*c. Which is smaller: -1\/4 or y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 1\/6*z**3 + 0*z + 0 - z**2 - 1\/12*z**5 + 0*z**4. Differentiate q(x) wrt x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 - 152. Let d = -8 + z. Which is the nearest to -2\/17? (a) d (b) -0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, c: 2}. What is prob of picking 1 c and 1 m?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -179, -419, -755?\n\"Answer: -48*x**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**2 + 16*q**2 + 8*q**2 + (-3*q**2 + 0 + 0)*(0 + 0 - 1) - q**2 - q**2 + 0*q**2.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1539) - (sqrt(1539) + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 5*t + 4*t + (3*t - t - t)*(1 - 2 - 2) - 25 - 10*t + 25.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2179.\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4145355 (base 6) in base 13?\nAnswer: -70529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**5\/5 + 24832308*x**4\/5 + 49664604*x**3\/5 + 4966460*x**2 = 0.\nAnswer: -6208075, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a\/(a*a**(-1\/8))*a*a\/(a**2*a))\/((a*(a*a*a*(a*a**(1\/5))\/a)\/a)\/(a**(1\/2)\/a)))\/((a**0)**(-7\/12)*(a**(-2\/9))**31) assuming a is positive.\nAnswer: a**(1913\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 24 + 144 = 0. Sort x, -3, 2.\nAnswer: -3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16665740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let y = 9 - 11. Which is the nearest to 0? (a) y (b) k (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - g - 29 = -0*f, -5*f - g = -25. Let z be (1\/(-3))\/(f\/54). Let x(i) = i**2 - i + 1. Is x(z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 6629.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*o + 71, 2594*v = 2592*v + 3*o - 76 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1. Let t(g) = 16*g - 5. Determine 6*h(q) - t(q).\nAnswer: -16*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0404791293 rounded to four dps?\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -244*a*b**4 - 114*a*b**2 + 56*a*b - 14*b**6 + b**2 wrt b?\nAnswer: -5856*a*b - 1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 4*r + 100 = 0. Solve -4*w + r = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23867576.883 rounded to the nearest 100000?\nAnswer: -23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.63 + -0.076845947.\nAnswer: -43.706845947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 + 36*w + 1. Let g(b) = -b**2 - 7*b. Let q(h) = -11*g(h) - 2*n(h). Give q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*w = -804, 4*g - 1544 = w - 3*w. What is the highest common divisor of g and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26 + 2*k + 11 - 5. Let z be l(-17). Let n(m) = -2*m - 3. Let j be n(z). Is j greater than or equal to 1\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1477.79 (b) -0.2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o**3 + 30*o**2 + 8*o - 4. Let u(c) = 8*c**3 - 30*c**2 - 10*c + 5. Let w(x) = -5*m(x) - 4*u(x). What is the third derivative of w(a) wrt a?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 12*r**2 - 18*r - 17. Let t be g(15). Find the second derivative of -t*x**3 + 388*x**3 + 9*x**4 - 9*x wrt x.\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*r - 194, 2*q - 235 = -3*r + 150. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.4 (c) 1\/2 (d) -0.2 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k - 4*m - 20, -k + 9 = -3*m. Let y(z) be the first derivative of 5*z**3\/3 + 7*z**2\/2 - 22*z - 559. What is the units digit of y(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 11*w**2 + w + 14. Let o be g(-11). Suppose -o*x + 7 = 22. Let l be (14\/(-35))\/(3\/(-3)). Put 3\/7, l, x in decreasing order.\nAnswer: 3\/7, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 254*y**2 - 2831*y + 719059. What is l(254)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 600, 1114, 1626, 2136, 2644?\nAnswer: 3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -3*p**8\/560 - 2*p**7\/105 - p**6\/45 + 5*p**4\/24 - 6*p**2. Let k(d) be the second derivative of x(d). Factor k(m).\nAnswer: -4*m*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12574402.\nAnswer: 2, 6287201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 - 40*l**2 + 6*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 - -2183. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100, 64, -82, -338?\n\"Answer: -55*r**2 + 129*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmznmkmmkemkkmmeem. What is prob of sequence kzn?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11200 (base 3) to base 9\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*k - i, -6 = 2*k - k + i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-15) - 500\/(-12)) + 2079\/297.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r = 33 + 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420976 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 809, -3, -4 in increasing order.\nAnswer: -4, -3, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440 - 834. Let f = o + 394.0000191. Round f to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 3*m**2 + m + 2. Let z be p(-2). Let a = -8 + z. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -c - 0*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**3 + 294*o**2 + 763*o - 41548. What is v(59)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24191\/4 + 6048. Let r = -27 + 25. Which is the closest to n? (a) -0.5 (b) -1\/45 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18)\/(10\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91470?\nAnswer: 2, 3, 5, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 1387b?\nAnswer: 13873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -478*t + 3328. What is y(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*r = -2446, 5*r = u + 2*u - 3671. Suppose -2*d - d = -u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*l**2 + 10*l**2 + 4*l**5 + (-18*l**3 - 19*l**4 + 18*l**3 + (l**2 + 0*l**2 - 2*l**2)*(6*l + 3*l**2 - 6*l))*(4*l + 1 - 1).\nAnswer: -84*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2*(1 + (-2)\/8). Suppose m = 5*w - 18474, -o*w - 4*m + 7238 + 3828 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 11, -7, 1 in descending order.\nAnswer: 11, 1, 0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*a + 122. Suppose 178 = 4*d - a. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 0.3037?\nAnswer: -3.9481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(22\/220*-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, 40 in decreasing order.\nAnswer: 40, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 151669995 a multiple of 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**3 - z**3 - 7*z**3 - 7*z**3.\nAnswer: -43*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7052, 3296, 0 in ascending order.\nAnswer: -7052, 0, 3296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3 - 28626*m**2 - 102416670*m + 102445298 = 0.\nAnswer: -7157, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 462*t**2 + 129*t**3 - 462*t**2.\nAnswer: 129*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4\/2 + 6*d**3 - 17*d**2\/2 - 15*d = 0.\nAnswer: -1, 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*o + 3, 2 = 2*q + 7*o - 3*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + (-5)\/2. Let r(t) = t**2 + 7*t - 2. Let l be r(-6). Let z = -5 - l. What is the closest to z in y, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23054562 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57\/16 in -3\/7, -9, 5, 0.02?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + q - 2. Let a be i(4). Let h = -6 - a. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Let g(m) = -s - m + 0 - 1. Let l(t) = -3*t - 17. Let a(y) = 11*g(y) - 4*l(y). Find the first derivative of a(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6329.759ns?\nAnswer: 0.006329759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 5:53 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -104*h + 145*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/3)*224\/(-288)*24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 26\/5, 0.5, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 6. Let c be m(13). Suppose h - 5*h + 24 = 0. Let q(x) = x**3 + 9*x - x + 13*x**2 - 5*x**2 + h. What is q(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*u + 4*y, -17403*u - 84 = -17406*u - 10*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 23 + -4 - (-2 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 1386, 2176, 2962, 3744?\nAnswer: 4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(156)*2)\/(-4*(sqrt(12) + sqrt(12)*-2)*6)*2.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24262 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 42\/35*75\/(-60)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5*j + 1060*g**3*j + 4*g**3 + 3693*g*j wrt g?\nAnswer: 40*g**3*j + 6360*g*j + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21367139.\nAnswer: 21367139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187788757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*n = -20, n + 187 = 182. Which is smaller: -7\/922 or i?\nAnswer: -7\/922","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*w + 106*w - 2*o - 10 = 0, -5*o = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1380*f**2 - 699*f**2 - 683*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42597 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 7*g**5\/20 + g**4\/12 + 4*g**3\/3 - 6*g**2 - 10*g + 5. What is the lowest common multiple of c(4) and 18?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 268. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i + i)*((9 + 9 - 14)*(-7 + 2 + 4)*(-3*i + 0*i + i) - 2*i + 0*i + 4*i + (0 + 2 - 4)*(0 + 0 - 2*i)).\nAnswer: 70*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p = -4*k + 14, 178*p = 179*p + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*g = 25, 26 + 18 - 52 = -18*h + 7*h - 4*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 - 0.07. Let o = 3.08 - f. Let r = 0.37 + -0.07. Sort o, r, 1 in descending order.\nAnswer: o, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*b + 5*b**2 - 452*b - b**2 + 899*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -10 + 0 + (0 + -14 - -19).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 652, 2\/9, -0.3?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - 7*o**3 + 7*o + 10*o - 5*o.\nAnswer: -3*o**3 + 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/265 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.88*8\nAnswer: 23.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8. Let r = -0.02 + -1.98. Are r and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f - 202 = -58*f - 2*r, 39 = f - 5*r. Calculate the highest common factor of 512 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*g - 681 = 0, -g - 30 = -4*w - 927. Let a be 6\/(-608)*(-60)\/w. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -741 divided by 13\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1) + (-2)\/(-280). Let d = -3847\/420 - v. Calculate the common denominator of d and 0 - -1 - 119\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12247 - -12845. Put 2, 8, q in ascending order.\nAnswer: 2, 8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75128341 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 917 divide 405557673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 126*q**2 - 23*q + 57. Is g(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28324937, 28324937, 28324945, 28324967, 28325009, 28325077, 28325177?\n\"Answer: t**3 - 2*t**2 - t + 28324939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8)*(-31992)\/19995. Let v = -41 + 208\/5. Solve 0*p + 0 + c*p**2 + v*p**3 = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 + 2. Suppose -4*q + 8 = 0, 2*y + 30*q - 4 = 32*q. Let o(i) = -15*i**2 - 5. Give y*o(u) + 9*j(u).\nAnswer: 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -37446*d**2 + 8*d - 10. Let w be m(3). Round w to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 213 + -1069\/5. Which is the second biggest value? (a) 0 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304358501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 4*s - 4. Suppose 0 = -v + 3*v - 10. Let t be g(v). Suppose 14 = -o - 4*r, -5*r - 26 = -5*o - r. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256 + -256 - (0 + 7 + -1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066373741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194437254210 - 194437254210 - 20*r**3.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 + 440 = 15*n. Suppose -n*b = -68*b + 50. Solve -2*k + 0*k - 16 = 5*c, 22 = -4*k - b*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:29 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 550541079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*p + 5200 + 5249. Calculate the lowest common multiple of 258 and p.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + k**2 + 18*k + 5. Give a(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/7 - 877784*u**3\/7 - 96328892648*u**2\/7 - 3466986975936*u\/7 - 31200323375232\/7 = 0.\nAnswer: -219428, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i**3*p**2 - i**3*p - 4*i**3 + 47*i**2 - 253*i - 3996*p**3 with respect to p.\nAnswer: 10*i**3*p - i**3 - 11988*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-10))\/((-630)\/(-300)))\/(4\/18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886378943.\nAnswer: 53, 4027, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 51. What is the closest to -1 in -0.3, -4, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*j**3 + j - 1456 wrt j.\nAnswer: -186*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*y = -8, 140*w - 11*y - 15 = 139*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 175843319 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 59*q + 60*q + 29 = 0, 0 = -3*g + 41*q + 384 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-5 + -1)\/3. Suppose -2*o - 2*z + 8 = p, 2*o - 2 - 6 = -5*z. Is 2\/o + 138\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 7\/(-3))*-9. Suppose -4*i + x*i = -38. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 56.2 (c) 1\/3 (d) 29\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26161 + 0.3\nAnswer: 26161.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -218. Suppose 3*r = o + f, 16 = r + 4*o - 58. Suppose 5*p = r + 154. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/10 and 145\/3034632.\nAnswer: 15173160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v**2 + (3*v + 2*v - 4*v)*(-v - 5*v + 4*v))*((-38*v + 20*v + 14*v)*(-1 + 4 - 4) + v - 5*v + 2*v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 34*v**3 + v**2 - v + 1. Let n(d) be the third derivative of -35*d**4\/24 - d**3\/6 - 4*d**2. What is the remainder when n(-2) is divided by k(1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.56 + -0.5. Let l = k - 0.06. Let n = l - 13.5. What is the third smallest value in -1, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -25. Suppose 2*h - 18 = -x. What is the remainder when 119 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 1) - (-528 - -521) - 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-6))\/(16\/(-18)). Let f = -43\/80 + n. Let l = -0.1 - -0.3. What is the second smallest value in l, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -802\/9, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -67452920?\nAnswer: 67452926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 324 and 198?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5815 - -5815.0008798. Round y to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -8828966\nAnswer: -8828961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -8*x**4 - 25586*x**3\/5 - 118218*x**2\/5 - 68596*x\/5 - 2032 = 0.\nAnswer: -635, -4, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 14*z**3 - z. What is the units digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 7881*u + 7878*u - 5, u = 2*w - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*z**3 - 377*z**3 + 707*z**3 - 147*z**3.\nAnswer: -134*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1813*g - 1828. Determine p(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x = 48*x - 626. Let q = x + -221. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92419 or -92218?\nAnswer: -92419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - 1.05. Let m = -0.06 + -4.94. Let v = -2 - m. Which is the closest to u? (a) -0.1 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*w - 34 = 2*f, -3*w = -2*f + 22. Calculate the greatest common divisor of 12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 (base 13) in base 12?\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + (-2 + sqrt(17))**2 + -1) + 0 - (-4 + (sqrt(425) + -2 - (5 + sqrt(68) - sqrt(17)))).\nAnswer: -69 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 5*w - 4. Let l be b(-4). Is 4 a factor of l\/40 - (-42)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 24*j - 45. Let a be p(3). What is the greatest common divisor of 459 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(b + 2 - 2) - 15*b - 3*b + 4*b - 2*b - 3*b - 2*b to z*b + y and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbkknknkb. Give prob of sequence nk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89.841 + 90.3. Round a to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Suppose -4*q + 19 = 2*p + q, -17 = -2*p - g*q. Suppose -2*o - 19 = -5*d, -o - p = -2*d - 0. Solve 2*m = -o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/5)\/((j*j**(-1\/13)*j)\/j))\/((j*(j\/j**(-2\/11))\/j)\/j**(-9\/2)) assuming j is positive.\nAnswer: j**(-11447\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3100852?\nAnswer: 2, 173, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74.7 + 75. What is the nearest to -9 in 0.2, 0.5, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579116860 a multiple of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 6. Let a be p(6). Let m be ((-1190)\/a - 1)*25. Let v = m + -1630. Find the common denominator of 59\/6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2001.\nAnswer: 12006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*t**2 + 0*t**2 + t**3 - 2*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-six sevenths of a week?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071435539 - -3?\nAnswer: 2.928564461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 106750794 divided by -186?\nAnswer: -573929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3571, -3562, -3541, -3502, -3439, -3346, -3217?\n\"Answer: h**3 + 2*h - 3574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 837393563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 11*p = 54*p - 878472. What are the prime factors of p?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3)*2178\/(-3025)*25\/(-4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4419 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3473, -1, 7, -4, -7, -3 in decreasing order.\nAnswer: 3473, 7, 4, -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from osoossss.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 134, 135, 134, 131, 126?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17193 and 6773.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -28*w - 7. Let t be (2\/3)\/(9\/(-81)). Is l(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 26961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*-3 + (-8)\/20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 56*c + 53*c - 32 = 0, -3*m + c + 14 = 0. Let a = 7 - 13. Let f = a + 14. Solve -m*q + 0*q = -f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*h + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/572 and 79\/6187324.\nAnswer: 6187324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 times -5220?\nAnswer: 1315440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73982395 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -60, -132, -256, -450, -732?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 37 = -5*w, 5*u - 9*u + 17 = -w. Let h(l) = -l**3 - 4*l**2 + 2*l + 4. Let j be h(-4). Put w, 2, j in increasing order.\nAnswer: w, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -29*o**4\/4 + 2*o. Let x(q) = q + 14. Let w(z) = -z - 10. Let i(r) = -7*w(r) - 5*x(r). Determine m(i(u)).\nAnswer: -348*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4 + 0 + 22*1375\/82280.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.35 - 2.9. Let i = 0.75 - z. What is the closest to i in -1, -8, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 9*i**2 - 8*i + 4. Let r be f(8). Suppose -112*x = -2311 - 4745. Which is the smallest value? (a) -1 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 49*o**2 + 2*o. Let f(d) = -24*d**2 - d. Let b(h) = -11*f(h) - 6*g(h). Let s be (-15)\/(-65) - (-32)\/(-26). Determine b(s).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9984\/8011?\nAnswer: -9984\/8011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 c when four letters picked without replacement from {q: 3, f: 2, c: 3, u: 5}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**2 + 41*h**2 + 39*h**2 - 2*h**2 + 7*h**2 - 3*h**2 + (3*h**2 - 2*h**2 + 0*h**2)*(-3 + 3 + 1) - 4*h**2 + h**2 + 4*h**2.\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 0.4, 0.5, 0.2, -40\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12953 - -12957. Suppose -3*q + 4*a - 6 + 1 = 0, -3 = 3*q - 3*a. Put -1, f, q in descending order.\nAnswer: f, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*3*2 - sqrt(170)*-1*2)\/((sqrt(110)\/(sqrt(44) + sqrt(11)) - (sqrt(10) + sqrt(80)\/(sqrt(128) - sqrt(8))))*1).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -20940 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9531 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94638312 and 4926.\nAnswer: 4926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.3 - 22.4. Let b = r - -19.578. Let y = 0.092 + b. What is y rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 18*t + 56. Determine l(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/628977 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*q**2 + 2*q**3 - 77*q**2 + q**3 - 4*q**4 as f + x*q**4 + p*q**3 + k*q + i*q**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1212 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 14. Let l be h(-6). Let a(y) = 2*y**2 - 26*y + 43. What is the remainder when a(l) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5928)\/494*((-8)\/60)\/((-2)\/10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**2 - 7. Let g(k) = 4*k**2. Determine g(m(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.869 + 4.869. Let i = -0.4 + 0.4. Let s be 104\/120 + (-6)\/9. Which is the third smallest value? (a) -17 (b) w (c) s (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllyilliclii. Give prob of picking 1 l and 2 i.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -362 - -443. Is g less than or equal to 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*q**2 + 49116*q + 1440664.\nAnswer: -4*(q - 1783)*(7*q + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8673*b - 8936*b - 1254 = 324 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-5) + 12\/30*-1. Let h be (-9)\/((-27)\/j) - -3. Let l(k) = 2*k - 9. Calculate l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**2 + 0*u**3 + 0*u**5 + 13\/4*u**4 + 6\/5*u**6 + 0 + 36*u. Find the third derivative of k(t) wrt t.\nAnswer: 864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 4. Suppose 2*k = -m - 1 + 7, -6 = -2*k - 2*m. Let r(h) = -1. Let a(v) = -1. Let d(x) = k*a(x) - 4*r(x). Calculate b(n) - 4*d(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 3872714014?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -20*r**3 - 3*r**2 - r + 3. Is x(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by -3?\nAnswer: -200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -6, 3, 10, 0.06 in descending order.\nAnswer: 10, 3, 0.06, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0*v - 7 - 3*v + 5*v. Let w(c) = -4 + 1 + 40*c - 20*c - 19*c. What is 3*m(l) - 7*w(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1220445 - -321?\nAnswer: 1221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (9 - 1 - 4) - 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-2)*((-13)\/7 + 3). Solve -8 = 4*i - 4*z, -r*i + z + 2 = 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11) + -4*(sqrt(11) + sqrt(396) + sqrt(11)))*-2.\nAnswer: 2*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/13)\/k**5)**(-10\/13) assuming k is positive.\nAnswer: k**(670\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 3 - 324*p**2 + 1325*p**2.\nAnswer: 1001*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -5\/6*k**3 + 0*k + 1\/2*k**4 + 2*k**2 + 0. Is 4 a factor of y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:04 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 - 13*d**2 + 2*d + 29 + 9*d**2 in the form t + f*d + h*d**2 and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*y, 5*y + 0*y + 10 = 0. Let x be (-3 + 3)\/(1 + i). Suppose -b + 3*q + 24 = x, 3*q - 45 = -2*b + 30. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.48287 minutes in nanoseconds?\nAnswer: 2128972200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8*1*-10. Suppose 22 = h*r + 2. Suppose 3*f = 1 + 14, -553 = -3*j + r*f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 8 = 2*h. Let q(k) = k**3 - 5*k**2 + 8*k - 14. Let o be q(h). Solve -4*s - 8 = -3*z, -o*z = s - 6*z - 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*((u**(-1\/2)*u)\/u)\/u)\/u))\/((u*u**8*u)\/u))\/(u\/(u\/(((u*u**(-4\/3))\/u*u)\/u)*u)*u**(-9)\/u))**(-27) assuming u is positive.\nAnswer: u**(-315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f. Let g(u) be the third derivative of -11*u**5\/60 + 4*u**2. Give z(g(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, 0, -1610, 1, 24 in decreasing order.\nAnswer: 24, 20, 5, 1, 0, -1610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212661302?\nAnswer: 2, 7, 31, 490003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-42) + (-22)\/(-12). Let l(n) be the second derivative of 7*n + 4\/5*n**5 - 4*n**v - 2*n**3 + 0*n**6 + 2\/3*n**4 + 0 - 2\/21*n**7. Factor l(t).\nAnswer: -4*(t - 2)*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 782 = 5*u + 4*w, -u + w = -3*w - 142. Suppose -u = f - 0*f. Let d = -33 - f. What is the greatest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) -3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3658 divided by 62\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 30. Let i be -2*(33\/6 - k). Find the common denominator of 91\/100 and (-710)\/(-20) + (1 - (i + 2)).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56.85 + 58. Let k = 31.3 - 33. Let g = k + o. What is g rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -7\/48, -3, 4\/3?\nAnswer: -7\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 29 = 5*f. Suppose 0 = 4*h - 3*n - 96, 5*n = -h + f*h - 88. Calculate the remainder when h is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*d + 629 = 0, i + 2*i = 2*d + 896. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 12 + 20 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*i + 5. Suppose l - 4 = i. Calculate the remainder when 16 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3944017303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 3*a - r + 130, 127 = -3*a - 50*r for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96, -104, -112, -120?\n\"Answer: -8*b - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 24*c + 110. Let z be t(-6). Let x be 55 + 1 + 1 + 0. What is the greatest common divisor of z and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5) - (-5*(-12)\/210 + (-30639)\/735)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Let y = 3 + u. What is the smallest common multiple of y and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + -6)*-2*1. Let z = n + -18. Let g be (z - 8004)*(-14)\/8. What is g rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -671*-4936\nAnswer: 3312056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/6 - 52*b**2\/3 - 298*b\/3 - 392\/3 = 0.\nAnswer: -98, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 1. Let v = 12 + -5. Let f = 14 - v. What are the prime factors of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 5*q**2 - 7*q - 6. Let k be i(-4). What is the third derivative of 73*y**k + 227*y**2 - 248*y**2 + 37*y**6 - 2*y + 0*y wrt y?\nAnswer: 13200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51427, 51423, 51417, 51409?\nAnswer: 51399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 - 245. What is the lowest common multiple of (p\/(-8))\/((-36)\/(-1008)) and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*g - 142*g + 12*g)*(-4 + 1 + 0).\nAnswer: 633*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 666749575 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56.77 and -7304606729.\nAnswer: -7304606785.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22013 (base 6) to base 9\nAnswer: -4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-488)\/(-305))\/(2\/150). Solve -3*i + x - 112 = -a, -4*i = -4*a - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**28)\/r*r*r*r\/(r*r**15))**13 assuming r is positive.\nAnswer: r**(-520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*s**3 + 3*s - 38*s**3 - 6 - 27*s**3 - 29*s**3.\nAnswer: -15*s**3 + 3*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (-6 - (8 - 19)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*(6 - 90\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -258 - -264. Solve 11 = 3*l - n*t + 5*t, -4*l + 4*t + 20 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 439 = -3*j - 230 - 280, -3*o + 13*j + 621 = -16*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*q = -12, -2*q = -5*f - 5*q - 12. Sort 3\/2, 2\/3, -5, f in descending order.\nAnswer: 3\/2, 2\/3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248410 and 169.\nAnswer: 41981290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -2*a**2 + 11\/6*a**3 + 1\/15*a**6 + 3*a - 11 + 1\/6*a**4 + 0*a**5. What is the second derivative of n(m) wrt m?\nAnswer: 24*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109351 is divided by 878?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i**3 + 5*i**2 - 754 - 5*i**2 - 31*i**3.\nAnswer: 2*i**3 - 754","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - u - 4, 0 = -14*d + 16*d - u - 4. Let j be 2\/(-8) + 25\/4. Let y = j + 0. Solve d*t - 3*t = -y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1001011?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**4\/24 - 5*k**3\/6 - 36*k**2. Let p be (-8)\/(-6) + (-4)\/(-6). Let b = p + -2. Give v(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 3940*m + 776000.\nAnswer: 5*(m - 400)*(m - 388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*p = 436, -558 = -5*d - 5*p + p. Suppose -6*v + 70 = -308. Let q be v\/3 + 1 + 0. Calculate the greatest common divisor of d and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + d = -7, -4*d = 2*o + 2*o - 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*j**2 - 25*j**2 - 22*j**2)*(0 + 3 - 1)*(1 - 1 - j).\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74865756 and 733978.\nAnswer: 74865756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8. Suppose 0*r - 5*r + 1197770 = m. Suppose -4*w + 2799554 - r = 0. Round w to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525659.\nAnswer: 37, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79285 and 2929?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 2*m. Let s be t(-2). What is the units digit of ((-26)\/s - 0)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*s = -55, 4*r - 2*s = r + 36. Let p(m) = m**3 - 6*m - r*m + 15*m. Let k(t) = 6*t**3 + t**2 - 8*t. Give -k(d) + 5*p(d).\nAnswer: -d**3 - d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*w + 668 - 353 - 336 + 26*w wrt w.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 11112?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38518345 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + q + 4 = 0, 0 = 4*d - q - 4*q - 38 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 u when four letters picked without replacement from aauakakyakakkkuaack?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6026*k - 553. What is the hundreds digit of o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 24, -70 = -72*p + 73*p + 29*t. Calculate the lowest common multiple of 722 and p.\nAnswer: 37544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 26d?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 16*t - 134, -398*o - 37 = -5*t - 399*o for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m - 3. Let o(c) = m*c**2 - 4*c**2 - 3*c**2. Let x(s) be the first derivative of -14*s**2 + 328. Give o(x(u)).\nAnswer: -1568*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0391, -4, -2\/7, 12, 350 in ascending order.\nAnswer: -4, -2\/7, -0.0391, 12, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkctkbbkkknbkk. What is prob of sequence cb?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*v)*(1 + 1 - 3) - 2*v + 2*v - v - 5*v + v + v + (6 + 3 - 33)*(4 + 2*v - 4) to the form w*v + s and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 589474?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.94851 months in millennia?\nAnswer: 0.0118290425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1.7, 2, -0.2, 7 in descending order.\nAnswer: 7, 2, 1.7, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -13*w**4\/6 + 47*w**2\/2 + 33*w. What is the derivative of x(y) wrt y?\nAnswer: -52*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrjmvrmvrmjmrvjrr. Give prob of sequence mvjm.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131 - -924. Suppose -3*q = 2*q - 7200. Let s = q - n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 12*n**2 + 6*n - 13. Is 23 a factor of l(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2038, -336, -5.\nAnswer: -2038, -336, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/2)*v*v**(4\/11)*v*v*(v**2)**3 assuming v is positive.\nAnswer: v**(173\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9993741 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 13 - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*n, j + n = 12 - 5. Suppose 3*g + 93 = j*c - 84, -4 = -g. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t - 2. Let g(f) = -18*f - 4. Determine 5*d(q) - 2*g(q).\nAnswer: -9*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/84941 in -1\/3, -4, -1, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4674672 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:57 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 4*x**2 - 6. Let o be b(2). Let a be 10\/(-124)*o\/(-10). Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 36. Let c be o(-16). Let x(p) be the first derivative of -p**2 - p**3 + 0*p - 1\/4*p**c + 1. Suppose x(u) = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 166, -5 in decreasing order.\nAnswer: 166, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 5:19 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16)\/(120\/(-240))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*c - 1044 = -60*c. Let t(g) = 5*g - 12. Let v(m) = -9*m + 23. Give c*v(p) + 11*t(p).\nAnswer: p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.9 + -24. Is p <= 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132988782 divided by 1797?\nAnswer: -74006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 2*w**2 + 4 - 15.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 406.41082 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 6*d + 30. What is the smallest common multiple of d and (3\/2)\/((-3)\/(-44))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74529 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/18 - q**3\/3 + 2*q**2\/3 - 13*q. Determine o, given that k(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + 21 + -9 + -20 + 37.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/455 and -81\/4394?\nAnswer: 153790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011612 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 6 = -b, 14835*b = 14839*b + 194*s - 182 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*k + 20191 - 43195 = 0 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v. Let z(w) = -4*w + 34. Let n be z(8). Let o be -1*(3 + -6 + 0). Let g(k) = -8 - o*k**2 - 5*k**n + 8. Determine g(l(y)).\nAnswer: -128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10737*i - 6808 = -10885*i for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 1457?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-21480)\/(-720) + 15\/(-18) + -19\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/5 + 279*g**2\/5 - 2082*g\/5 + 360.\nAnswer: 3*(g - 6)*(g - 1)*(g + 100)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270) - sqrt(270)*3)*-4)\/sqrt(10))\/((2*sqrt(1350))\/sqrt(6)) + 3.\nAnswer: 4*sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/6 + 140*x**3\/3 - 145*x. Let n(i) = -2*i. Give l(n(y)).\nAnswer: -8*y**2 - 560*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*2*sqrt(405) - 6*(1 + sqrt(405))**2).\nAnswer: -2436 - 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 0. Let l = n + -2. Suppose 0 = -l*t - t. Solve 5*x + 0*x + 5 = t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 2)*1115\/10. Let w = t + 313. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:48 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15*o + 126 = 0, 5*r - 2*o = 6*r - 24. Calculate the highest common divisor of r and 2946.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 10*y - 11. Let w be (-2)\/(-9) - (-140)\/18. List the prime factors of j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36811*f + 44110 wrt f?\nAnswer: -36811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 1066160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.3 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) -4\/7 (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3163375694 to the nearest integer?\nAnswer: 56244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11784825 divided by -27729.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -128, -188, -244, -296?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 34*n**2 + 113*n - 2. Let y be p(37). Put -4, 3, y in descending order.\nAnswer: y, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z - 3. Let x(o) = 2*o - 1. Let g(h) = r(h) - 4*x(h). Give g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.2 - -7.8. Let i = z + -71.0000116. What is i rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 27*l + 34. Suppose -3*a = 4*i - 30, -16 + 10 = a. Give o(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2102 - -2109. Suppose -t - 3 = -3*v, 0*t + 4*t + 4*v = 20. Is t at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*r + 9, -124*r + 121*r - 4*v + 12 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 45 = 4*y - 125, -4*a = 5*y - 100. Suppose 2*s = d - 2*d + 100, -4*d - 4*s + 392 = 0. Suppose d = j + y. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (264 - 539 + 275 + 2067*w)*(w**2 - 3*w**2 + 5*w**2) in the form d*w**3 + s*w**2 + v + c*w and give d.\nAnswer: 6201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -2 - (62 + 22)\/(-28))*(-3)\/10.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g - 17. Let l be i(-4). Suppose 5*k + 40 = 5*b, 2*k = l*b - 0*k - 19. Let n = 20 - 4. Calculate the least common multiple of n and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420 by -6.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 1390*w**3\/3 - 508*w**2 + 586*w - 3. Differentiate k(f) wrt f.\nAnswer: 2780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -207\/7. Let a(q) = -2*q**3 + 2*q**2 - 1. Let f be a(-1). Suppose -13 - f = -4*p. What is the second biggest value in p, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18974 less than -2247?\nAnswer: 16727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182 divided by -3?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-697)\/(-85))\/((-33)\/165 + 3\/10).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9184.228 + 9126. Let n = -179 + 121. Let z = n - w. Round z to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 - 1008*y**3 - 313*y**2 + 3*y wrt y?\nAnswer: 60*y**2 - 6048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -817\/13 - -63. What is the second biggest value in 5, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1617661584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11220984 is divided by 79021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756)*-2 - sqrt(756) - sqrt(21)) + sqrt(2100)*6)\/(-2*sqrt(3)*2 - sqrt(33)\/sqrt(11)*2).\nAnswer: -41*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(1\/12)))\/u*u*u*u**(6\/13) assuming u is positive.\nAnswer: u**(241\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/30)\/9*2\/21\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbbabbbbbbbbbb.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3468348148 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:19 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.32 - -2.32. Which is the third smallest value? (a) 0 (b) r (c) 1\/6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z + 26. Let k be g(5). Let j(l) = 48*l**3 - 2*l**2 + l. Is j(k) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -423.88975 - 0.11025. Which is smaller: 9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -156921 at most as big as -627689\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 345651570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose -v - 3*p + 2 = c, 0 = 4*v - 0*p - 2*p - 8. Factor i - i**3 + 0*i**v + 0*i**2.\nAnswer: -i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -775.9090604 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04048 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 6*i - 132. Let l be g(-17). What is the highest common divisor of 2 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = s - 11. Suppose -2*m + 4*p + 16 - 6 = 0, -3*m - s*p = -5. What is the lowest common multiple of 14 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 - 61. Calculate the greatest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19339, -39003, -58667?\nAnswer: -78331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q. Let c(l) = 1 + 16*l + 3 + 8 - 10*l - 13. Calculate c(h(f)).\nAnswer: 60*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 2)*(724*z - 4583*z + 52*z).\nAnswer: 22842*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*246.3\nAnswer: 246.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/120 - p**5\/30 - p**3\/6 - 5*p**2. Let n be r(-2). Is (n + 2)\/((-7)\/(-112)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642681 is divided by 37804?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4036662 and 7421.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 6*c**5\/11 - 16*c**4\/11 - 384*c**3\/11 + 2004*c**2\/11 - 1990*c\/11 - 900\/11 = 0.\nAnswer: -9, -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101506 - -10.9\nAnswer: -101495.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3304\/2795 - -10\/559. Which is the nearest to 0.3? (a) w (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 157, 320, 483, 646, 809, 972?\n\"Answer: 163*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsossfc. Give prob of sequence cof.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26*(-5)\/((-450)\/135).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -24. Suppose -10*a - d*a = -2119. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -759, -1367, -1987, -2625, -3287, -3979, -4707, -5477?\nAnswer: -6295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from cbb.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -151*v - 297. Does 8 divide i(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1005? (a) 0.3 (b) -0.2 (c) 1 (d) -4 (e) 6.7 (f) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -29*v. Let u(a) = 1225*a - 77. Let h(f) = 16*f - 1. Let g(b) = -154*h(b) + 2*u(b). Determine c(g(d)).\nAnswer: 406*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2497090 to the nearest ten thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19368443?\nAnswer: 19368443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080) - sqrt(1080)*2)\/(sqrt(150) - sqrt(150)*1 - sqrt(150) - sqrt(6)) + (sqrt(50) - (sqrt(350) + sqrt(350)*2)\/sqrt(7))\/(sqrt(160) + sqrt(40)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**3*t**6 + 647*r**3*t**3 - 205*r**3*t**2 + 2*r*t + r wrt t?\nAnswer: -600*r**3*t**3 + 3882*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Let c = -29601 + 29598. What is the nearest to u in 0.38, c, -0.4?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h - 6. Let a be w(1). Solve 4*s + 13 = -v, -12 = -v - a*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**2\/13 + 10*l\/13 + 4\/13.\nAnswer: -2*(l - 1)*(7*l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863104?\nAnswer: 2, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -61, -60, -39, 8, 87, 204?\n\"Answer: s**3 + s**2 - 23*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 329, 517, 687, 833?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 204*u + 208.\nAnswer: -4*(u - 52)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417 is divided by 89?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-4)*(-4)\/((-32)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0.5, 0.4, 33, -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/13*a**3 + 48\/13*a**2 + 4\/13 + 30\/13*a.\nAnswer: 2*(a + 1)**2*(11*a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 424. Let a(t) = 246*t. Calculate u(a(q)).\nAnswer: -121032*q**2 + 424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 3. Which is greater: j or 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**5\/30 + g**4\/12 + 4*g**2 + 5*g. Factor c(d).\nAnswer: -2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-4)\/(-5))*1\/45*(-2160)\/6120?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1762 and -1438832637?\nAnswer: 1438834399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 133*v = 137*v - 6083884, 4*d - 3041935 = -3*v. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-379 + 379 - 223*z**2)*((-5 + z + 5)*(-9 + 18*z + 9) - 3*z**2 + 5*z**2 - z**2) to y*z**4 + q*z + g*z**2 + h*z**3 + p and give y.\nAnswer: -4237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.722754 rounded to two decimal places?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/4, 4, 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 40 + 10. Suppose 15 = 5*o - q. Solve g - o = -5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 15 = -2*f, 6*f - f = 2*v + 10. Let x(k) = -k - 6. Let l be x(-5). Let d be (0\/(f - 2))\/l. Solve d = -n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 67*m**2 - 67*m + 79. What is the remainder when 23 is divided by d(66)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170 + 0*r - 12 - 2*r)*(8*r + 0 + 0).\nAnswer: -16*r**2 - 1456*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/28 - (2 + -5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3524*g - 28186. Calculate b(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -536, -552, -584, -638, -720?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 10*g - 24. Determine c(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7486 or 7487?\nAnswer: 7486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1665191, 1665292, 1665393, 1665494, 1665595?\nAnswer: 1665696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 334 + 16. Calculate the remainder when 40 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + -164. Is (0 - j) + 20\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:58 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 460*x + 1899. Give r(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 1. Let g be k(-1). Let f(l) = 6*l - 1. Is 5 a factor of f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3133 is divided by 167?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 892186921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*k + 0*m + 5*m + 84 = 147*k, 3*k - 14*m = 63 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1863 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008147313 to 6 decimal places.\nAnswer: 0.000815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 9, -3, -15 in descending order.\nAnswer: 9, -3, -15, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8498.25 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223926 is divided by 69?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6*-4*68\/672)\/((-4)\/14)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 3*u)*(1 - 3 + 0)*(1 - 1 - 3).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -433823, -433782, -433737, -433688, -433635, -433578, -433517?\n\"Answer: 2*w**2 + 35*w - 433860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 3*f + 5. Let n be 1\/(1\/(-65)) + -1. Let l = f - n. Calculate the highest common divisor of 80 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10589775 and 16641075?\nAnswer: 116487525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s - 249*s**3 + 12*s - 20*s - 99*s**3 + (3 - 3 - 2*s**2)*(-5*s + 2*s + 6*s).\nAnswer: -354*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**3 - 12*n**2 - 16*n + 48 = 0. Calculate n.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260602.17 months in centuries?\nAnswer: 217.168475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 232 - 3 - 229 - 3*j. Let p(n) be the third derivative of -4*n**5\/15 - n**2. Calculate p(y(f)).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4984 is divided by 232.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-1475)\/15)\/5 - -3)\/((-1)\/2). What is the fourth biggest value in 2, m, 2\/13, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from hjhy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/(z**(-1)*z)*z)\/z)**26)**1)**(-2) assuming z is positive.\nAnswer: z**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 41*k**7\/2520 + k**6\/180 - k**5\/60 - k**4\/3 + 3*k. Let s(b) be the third derivative of g(b). Is s(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 30845*u**3 + 1550*u**2 - 775. Let d(w) = 159*w**3 + 8*w**2 - 4. What is -775*d(h) + 4*x(h)?\nAnswer: 155*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666 + b - 9*b + 725 - 30*b.\nAnswer: -38*b + 1391","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clel when four letters picked without replacement from lepypceseeeclee?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/36 + (-14)\/(-6). Which is the closest to -0.1? (a) d (b) 2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (18 + -10 - 15 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 413, 1043, 1925, 3059, 4445, 6083?\n\"Answer: 126*b**2 - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 14. Let v be l(7). Let t be (v\/(-21))\/((-3)\/27). Find the third derivative of 2 + 23*n**2 - t - 11*n**5 + 10 wrt n.\nAnswer: -660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g + 7 = 0. Suppose -4*o - 4*i = -12, o - 6*o - 2*i = -24. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.382 rounded to 1 dp?\nAnswer: -20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*r - 4*r + 366 = 0, 5*r = 25. Let o = 134 - x. Solve 4*m = 5*l + o, 2*m = -2*l + 4 + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.43 + 17.57. Let c = i - 23. Is c less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 4*o + o)*(-4 - 1 - 4)*(4 + 2 - 5 + (3 - 2 + 0)*(-1 + 3 - 3) + 137 - 103 - 183 - 274).\nAnswer: 7614*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3191*y**5 + 11 + 2911*y**6 - 2 + 171*y**2 - 12 + 3191*y**5 wrt y?\nAnswer: 349320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 66 = -73 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-19760)\/1482*(-27)\/(-15)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**2 - 2*r + 1. Let w(b) = 4*b - 65. Let j(l) = -6*l + 68. Let a(c) = -4*j(c) - 5*w(c). Let x be a(-13). Determine g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 3\/145409, -5, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 12357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28181 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -64200 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -147. What is the common denominator of 1\/a - (-3887)\/552 and 89\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46818.1 not equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 + 399330*v**2 + 9587060*v - 20771400 = 0 for v.\nAnswer: -26, 2, 79890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308 + -169. Let p(j) = -j + m + 0*j - 137. Determine p(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (15 + -14 + 7 + 8)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 39149842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49575 + 21?\nAnswer: 49596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 37. Sort -3\/5, 0.4, f.\nAnswer: f, -3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3312 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 0. Let z = f + 10. What is the greatest common factor of z and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -515*x**6\/6 - 46*x**3\/3 - x + 752. Find the third derivative of h(c) wrt c.\nAnswer: -30900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 573592198?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, 4 in descending order.\nAnswer: 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5288 by 6.\nAnswer: -2644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18057379 is divided by 135.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2606, -6608, -10618, -14636?\nAnswer: -18662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659476 divided by 5?\nAnswer: 2659476\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + q - 342 = 0, q - 15 = -a + 51. What is the remainder when a is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-2 + -2)) + -2*(-70)\/28?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -94232*f**2 - 3. Let b(q) = 4*q. What is r(b(a))?\nAnswer: -1507712*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in -10, 7\/18, 0.5, -5, 38?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k - 1. Let b be d(-4). Let l = -8 - b. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3319037*i + 53644482 with respect to i.\nAnswer: 3319037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, w: 1, m: 1, q: 7, l: 5}. Give prob of sequence jj.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y)\/((y*y**(-10)*y)\/y))\/((y\/(y*y\/y**(-3\/10)))\/((y*y**13)\/y)) assuming y is positive.\nAnswer: y**(233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 16, 8, -2, -14, -28, -44?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 63, 3, -1.\nAnswer: -1, 2\/5, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w + 31. Calculate s(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-24) + (-143237)\/(-7572)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 881.4315 decades?\nAnswer: 8.814315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/784845 and -137\/14670?\nAnswer: 1569690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -42*s**3 + 134*s**2 - 12*s - 3. Determine u(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169*j - 832*j = 594*j - 24672 for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 182\/(-84) + (-2)\/(-9)*3. Suppose 3*w = -g - 8, 0 = 3*g - w + 3*w + 10. Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2740, -2739, -2738, -2737, -2736?\nAnswer: -2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/56*(-13)\/(52\/(-32)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**2 - 12*a**2 + 3*a**2. Let l(t) = 8*t**2 + 15. Let u(z) = 6*b(z) - l(z). What is the derivative of u(p) wrt p?\nAnswer: -28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**2 - 1710*a + 146205 = 0.\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:11 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 63*m**3 - 10 - 25.\nAnswer: 63*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101 (base 2) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(1*sqrt(21)\/sqrt(3))*4.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3677\/92207 - 6\/211. Is d bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.5. What is the second smallest value in 0, r, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000110677825 rounded to seven decimal places?\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3024031 (base 5) to base 6.\nAnswer: 1013105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61664 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296 a factor of 444858375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/((r*r**(2\/15))\/r)*r**(-2)\/r**0)\/(r**(2\/3)\/r**(-2)*(r\/r**(-4\/11))\/(r\/(r\/((r\/(r\/((r\/(r\/(r**(-3)\/r)))\/r)))\/r)*r))) assuming r is positive.\nAnswer: r**(-669\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 2163328*g\/3 + 584998504448.\nAnswer: 2*(g + 1622496)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709428?\nAnswer: 2, 3, 59119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/13)*b)\/(b\/(b**14\/b*b))*b**4\/(b*b**(1\/2)) assuming b is positive.\nAnswer: b**(463\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let z = 36 + -29. Suppose -z*q = -3*q - 8. Let u(b) = -5*b**q - 9*b + 9*b. Determine i(u(d)).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 0.1, 1.3, 3\/2, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (793 - 1419 - 2*z + 1230)*(-3*z**2 - z + z) as x*z**2 + d*z**3 + g + v*z and give x.\nAnswer: -1812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -19. What is the third derivative of -8*y**6 + 2*y**2 - 10*y**2 + 9*y**i wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Let m(w) = -4*w - 60. Let s be m(-16). Solve s*j = -n + 23, 5*n - q*j = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -103. What is the remainder when n is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let g(w) = -6*w**2 + 8*w - 8. Let p(z) = 2*z**2 - 3*z + 3. Let v(b) = 2*g(b) + 7*p(b). Is 15 a factor of v(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 296*t - 15335. Calculate r(67).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244528*-0.4.\nAnswer: -497811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4463 - 128.15?\nAnswer: 4334.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 19468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7197*l = 7199*l - 5*a - 31, -2*a = 3*l + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*i - 100*i + 234 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:34 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*r + 93 = -19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125874217.\nAnswer: 7, 17982031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 7 + -4 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 4292*n**2 + 0*n + n.\nAnswer: -4292*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**7\/5040 - i**6\/360 - i**5\/60 + i**4\/24 - 2*i**2. Let s(u) be the second derivative of p(u). Solve s(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d + 20 + 27 - 26 + 24 - 105*d**3 + 7 wrt d.\nAnswer: -630*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-31360)\/(-78) + 7 + -10. Let n = -399 + k. What is the closest to -1 in n, 0.1, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -759.969 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 11:26 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 16*w**2 + 5*w - 3. Suppose -22*s + 14*s = 24. What is the remainder when v(s) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/120 + b**5\/10 - b**4\/24 - 7*b**3\/6 + b**2 - 32. Give n(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 2. Let g be y(-2). Suppose g*t - 8 = -t. Solve 4*v - c + 1 = 0, -2*c - 2*c = -4*v + t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2 + 5320*o + 1768900 = 0 for o.\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.618961898 and 0.1?\nAnswer: 0.0618961898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 5*m**2 - 12*m - 16. Let f be l(7). Sort -12, 2, 1, f.\nAnswer: -12, f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a9 (base 13) in base 6?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -251*k + 1527. What is the remainder when 58 is divided by u(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4 - 10*a - 4 + 68*a**2 - 55*a**2 + 69*a**3 wrt a.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59416 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 453192*p**2 - 173132469*p = 0. Calculate p.\nAnswer: -150681, -383, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.8 + -8. Let u = -307\/175 - -12\/7. Which is the closest to -1? (a) u (b) z (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Let i = 1567\/14 + -773\/7. Which is the smallest value? (a) i (b) 0.02 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(85) - -1*sqrt(85)) + sqrt(85))\/sqrt(5) + 4*((sqrt(833) + -3 - sqrt(833)) + sqrt(833) + sqrt(833))**2)*2.\nAnswer: -696*sqrt(17) + 26728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 5) + 1*106\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/12)\/((-5)\/(-4)). Suppose 2*w + 11*l - 14*l = -8, w - 4*l + 9 = 0. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21660*f**2. Let v(g) = -138*g. Determine k(v(m)).\nAnswer: 412493040*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/10 + 5\/(50\/9). Put -2, y, 1\/18, 2 in descending order.\nAnswer: 2, y, 1\/18, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9408 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1556 + 1610. Do l and 51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1413577*k + 1413575*k + 142 = 0 for k.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360982096?\nAnswer: 2, 383, 58907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 40200796.\nAnswer: -5\/40200796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1)**(-9)*((l\/((l*l\/(l\/(l\/((l**(3\/2)*l)\/l))))\/l))\/l)\/(l*l*l**1))\/(((l*l**(-6\/5))\/l**(-2\/5))\/(l**(-1\/2)\/l*l*l**(-2)*l)) assuming l is positive.\nAnswer: l**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3592178 is divided by 76429.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 685, 1477, 2405, 3469, 4669, 6005, 7477?\n\"Answer: 68*d**2 + 588*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 131 from -0.2443.\nAnswer: -131.2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 15 - 15)*(-1 + 3*w + 1).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 25 = v - 5*h, -5*h = -v - 7. Solve -4 = -7*t + v*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -47, -49, -35, 1, 65, 163, 301?\n\"Answer: o**3 - o**2 - 16*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 3. Determine r(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 543379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (242*w + 237*w - 480 - 481*w)*(10*w**4 + 2*w**3 + 15*w**4 - 30*w**4).\nAnswer: 10*w**5 + 2396*w**4 - 960*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*a = -41, 116*m - 5*a + 35 = 119*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130148 is divided by 403?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 30 = -6*s. Let w = -23 + s. Let v = -8 - w. Calculate the highest common factor of v and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25216310563 and 20166.\nAnswer: 25216330729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -8 + (6 - 2) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 603904.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffiaaiifaffaffiiiia. What is prob of picking 2 i, 1 f, and 1 a?\nAnswer: 245\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -686 - -671. Let x be 4\/(-10) + ((-42)\/k)\/7. Sort -5, x, 5, -35.\nAnswer: -35, -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**3 - 11*g**2 + 5*g - 1. Let x(u) = -7*u**3 - 12*u**2 + 5*u. Let f(y) = -6*r(y) + 5*x(y). What is the tens digit of f(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/(-8*9\/(-324))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -486 divided by -18\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*h**3 - 12*h**3 - 40*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26384 is divided by 8788?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*p**3 + 195*p**3 - 39 - 91*p**3.\nAnswer: -p**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 29 - 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -225416 at least as big as -225415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 20. Sort 7, 1\/4, u.\nAnswer: u, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Let n be 136\/36 - (141\/(-27) + 5). What is the first derivative of -21*x**f + n - 22*x**4 + 50*x**4 wrt x?\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/11))**(2\/9) assuming s is positive.\nAnswer: s**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00359594873 rounded to seven decimal places?\nAnswer: 0.0035959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11232 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*o = -25, -381 = 3*h + 3*o - 306 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2220*a = -43022 - 49789 + 3561 - 15090 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*k*r**3 - 317*h**3*r + 14931537*h**2*k*r**3 + 199*h**2*r**2 + 16*k*r**2 wrt r?\nAnswer: 6*h**3*k + 89589222*h**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 30*n. Suppose 10*v = -7*v - 255. Let k be i(v). Let t be (2 - 0 - -4) + -1. Solve k = -4*u - 4*o + 4, -t*u - 2*o = 3 - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/154)\/(18\/(-165)))\/((-1)\/8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2717, 5670, 8897, 12434, 16317, 20582?\nAnswer: 25265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z, 2*a - 62 = 5*z - 22. Suppose 20 = 5*k - 4*o - a, 0 = 3*k - o - 25. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1889 <= -1890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-7 + 1)) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299718 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 4*k**2 + 3*k**2)*(5*k - 2*k - 2*k) + (4*k + 2*k**2 - 4*k)*(4 - 4 + 2*k)*(149 - 13 + 19).\nAnswer: 621*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5521226, 5521218, 5521210?\n\"Answer: -8*v + 5521234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 3*y**2 + 2*y - 1. Let a(k) = 0*k - 8 + k + 6. Let n be a(5). Suppose -3 = -n*x + 4*x. Give s(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2971.9 + -2972. Let h be (-65)\/252 + (-16)\/(-56). Which is the biggest value? (a) -4 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 11:17 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1953 or -1957?\nAnswer: -1953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3771*v**5 + 365*v - 1 wrt v?\nAnswer: 75420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00073610658 rounded to five dps?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 171 + 93 = 0. Suppose q - 10 = 6*q, -4*b - 4*q - k = 0. Let h = -2 - b. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f2b - -10?\nAnswer: -f1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 5*j + 565. Calculate z(16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494, 1535, 3190, 5465, 8366?\nAnswer: 11899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 348 + 304. Let s = k + -51. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 188*g + 10*g**3 - 210*g - 213*g + 611*g.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(3 + -1)*(39 + 18). Let d = l + 191. Solve -t - d = -6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 8 = 761*j - 764*j, 3*o + 6 = 3*j. Which is the fourth smallest value? (a) 0.5 (b) -1\/2 (c) j (d) 26\/9 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r - 2*r)*(0 + 0 + r**3) + 0*r**2 - 2*r**4 + 0*r**2.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3843 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**7\/70 - m**6\/10 - m**5\/4 - m**4\/4 + 10*m**2. Factor y(o).\nAnswer: -3*o*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1310 + -204361\/156. Let a = 11250 - 1754965\/156. Let n = a - c. Is n bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 628, 8, 20 in descending order.\nAnswer: 628, 20, 8, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*u = -n + 121, 0 = n + u - 23. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -352. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 a factor of 125767030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.88412483 rounded to three decimal places?\nAnswer: -7.884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 + 4\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -48*t**2 + 6*t. Let v(u) = u. Give b(v(x)).\nAnswer: -48*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/25 (b) -2 (c) -1\/5 (d) 2\/11 (e) -12 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 33, 37, 31, 9, -35, -107, -213?\n\"Answer: -n**3 + 4*n**2 + 3*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*h + 25 = 2*h, h - 89 = -5*d. Suppose -74 = -4*c + 4*f + f, 5*c - 90 = 5*f. Suppose c*z - d*z = -33. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.019? (a) -11 (b) 5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -287, -1182, -2733, -4988, -7995, -11802, -16457?\n\"Answer: -8*u**3 - 280*u**2 + u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 133, 1\/2, 2\/3, -4\/5, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 14. Let v be b(-11). Let h be ((-2)\/v)\/(10\/(-48)). Find u such that -4\/5*u + 2*u**3 + 0 + h*u**2 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496710876.\nAnswer: 2, 11, 47, 1207307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8755 times 1\nAnswer: -8755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/((-1)\/2). Suppose 145 = -3*r - 5*h, 26*h = -r + 24*h - 49. Let d be (-630009)\/r + q\/15. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539b (base 14) in base 6?\nAnswer: 150513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144\/11 + -1805\/132. What is the common denominator of y and 0 + (-1)\/((-40)\/(-38))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39346949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 - 169*x + 186. Let t be h(42). Suppose -2*r = -5*y - 13, r + 3*y - 10 = 2*y. What is the greatest common divisor of r and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/(320\/(-288))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 735 + -254. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*j + 5699, 5*p - 6*p - 5*j + 1396 = 0. What are the prime factors of p?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10867661 - -3564596963\/328. Let q = -70\/41 - g. Let p = 27\/2 + q. Calculate the common denominator of 22\/5 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:48 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 - 129. Find the second derivative of -r**5 + y*r - 86*r**5 + 13*r**5 + 6*r**5 wrt r.\nAnswer: -1360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.3 (c) -43 (d) 0.5 (e) 12431 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184843076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*f = -0*f - 9, -f = -5*s - 2. Suppose 2*k = -2*k + 8. Let b(n) = 0*n**2 + k*n - 2*n**2 - 2*n**3 + 1 + 3*n**2. Give b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + (2 + sqrt(125) - sqrt(125)))**2 + sqrt(25)\/sqrt(5)*-3 + sqrt(5).\nAnswer: 18*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 28*v**2 + 30*v + 17. Suppose 32*j - 1355 = -1835. What is x(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1313)\/202 - ((-2)\/4 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.9 times 1.2712?\nAnswer: -57.07688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25720 by 4.\nAnswer: -6430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x. Let f(w) = 15*w. Let a(s) = 4*f(s) + 7*h(s). Calculate a(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3 - 828513*w**2 - 171571573023*w + 15276433355489 = 0.\nAnswer: -414301, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207978*t = -208099*t + 5687 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/r**(1\/17))\/(r\/r**(-11)*r**6) assuming r is positive.\nAnswer: r**(-392\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328979 - 105119 = 82*w. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t - 194*t**2 + 292*t**2 - 13*t - 787*t**2 + 88*t**2.\nAnswer: -601*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12360*y = -12344*y - 336 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 680.00000129 - 680. Round k to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8796 = 119*d - 3*l - 8757, -3*l = 2*d - 39 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from 20064.\nAnswer: 20063.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -229, -341, -451, -559, -665?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k + 21*k - 19*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -261961*b. Let u(d) = -16*d**2. Calculate u(w(s)).\nAnswer: -1097977048336*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (0 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 2*g**2 + 21*g**3 - 18*g**3 - 2*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 11010?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*t = 7, -4*t + 8 - 2 = -3*y. Find the second derivative of -n**y - n**2 + 5*n - n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = 0, 0 = -4*m + c - 2*c + 4. Suppose -8 = -2*q + m. Suppose -b = -2*d + 8, 14 = -d - q*b + b. What is the lowest common multiple of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1763*k - 1866*k + 27305 = -7003 - 16498 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j = 22*j - 100960. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 1\/30*g**5 + 0*g - 2*g**2 - 4\/105*g**7 + 0 + 0*g**4 - 1\/20*g**6 + 0*g**3. Determine j, given that z(j) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*40\/(-400)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 12. Suppose -2*i - 4*i = 0. Solve -x*k + 3*k = i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, 41, 4\/7, -5, 0 in ascending order.\nAnswer: -5, -4, 0, 4\/7, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 157813441411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/70 and -27\/660365.\nAnswer: 9245110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-32)\/(-36)*6\/8 and -83\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/2756136 and 1\/342.\nAnswer: 157099752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 9. Let n(a) be the first derivative of 22\/3*a**i - 10*a**5 - 12*a**2 + 15*a**4 - 2 - 8*a. Factor n(o).\nAnswer: -2*(o - 1)**2*(5*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -52. Calculate the least common multiple of k and 51.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/21467280 and -43\/175005.\nAnswer: 64401840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -398 + 353.8. What is q rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 411*r - 162. Let w(f) = 11*f. Calculate n(w(t)).\nAnswer: 4521*t - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/180 - j**5\/18 - 2*j**4\/9 - 4*j**3\/9 + 7*j**2. Factor p(q).\nAnswer: -2*(q + 1)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455414335 (base 6) in base 4?\nAnswer: 133333010303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 50*y**2. Let j(w) be the second derivative of w**3\/6 + 5*w**2\/2 + 2*w - 34. Let p(a) = -4*a - 25. Let m(g) = -10*j(g) - 2*p(g). Determine x(m(t)).\nAnswer: 200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**3 + 15*u + 5. Let n(a) = 2*a**3 - 16*a**2 + 24*a - 5. Let d be n(6). Let b(m) = 4*m**3 + 7*m + 2. What is d*b(x) + 2*w(x)?\nAnswer: -2*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 8*v = 22*r - 40*r - 60, -5*v + 25 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**3 - 6 - 7*n**3 + 4 + 3*n**3 - 4*n**2 to the form u*n + o*n**2 + g + l*n**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4763 = 6*n - 8*n. Let p be (-2)\/8 + (-2418)\/(-8). Let c = n - p. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5 + 35846*k**4 - 160347716*k**3 - 2414472772*k**2 + 5309845318*k - 2735060674 = 0.\nAnswer: -17, 1, 8969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 166. Let h(c) = -1112*c**2 + 2226*c**2 - 1117*c**2. Determine h(y(k)).\nAnswer: -12*k**2 - 1992*k - 82668","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 3. Suppose 0 = -3*n + 5*b + 95, 3*b = -3*n + 65 - p. What is the remainder when 48 is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 42, -2, 10, -3 in increasing order.\nAnswer: -3, -2, 5, 10, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2 and -29\/367.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(180))*-3 + (-3 + sqrt(180))*6)**2.\nAnswer: -360*sqrt(5) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*t - t + t + (0 + 2 - 3)*(-t + 5*t - 3*t) - 2*t - 1 + 1 - 5*t + 0 + 0.\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -8. Let l be q\/((-3)\/684*3). Suppose -3*a + l = a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -43 + (-376 - -376)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + (-14 - -25) - -14 - (-8 + -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*(0 + -2 - -1). Suppose 52 - 46 = w. Calculate the greatest common divisor of w and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711.146 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -21. Let l = 16 + n. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - -2 - 26\/(-4) and -139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-44))\/(-7 - (-212)\/32)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 3*k**2 - 5*k - 5. Let i be r(5). Calculate the greatest common factor of i and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/10*-5*1. Suppose 111 = 5*n - a, 8*a = h*a - 12. What is the remainder when 79 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-4 - 161)\/5)\/(-2)*16\/24 and 1676?\nAnswer: 18436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 73846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(0 + sqrt(147)) + -2)*-6.\nAnswer: -6 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4\/5 + 1179*p**3\/5 + 2373*p**2\/5 - 1179*p\/5 - 474 = 0.\nAnswer: -2, -1, 1, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 6*q - 15)*(-3 + 6 - 1) - 3 + 2*q + 3 - 2*q - 2 + 2 + (0*q + 2*q - 4*q)*(0 + 0 - 3) - 2*q - q + 0*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 7054817*u\/3 - 7054820.\nAnswer: (u - 7054820)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 8. Suppose -206*f - 9 = -207*f. Let v(s) = s - 17. Let o(h) = f*k(h) + 4*v(h). What is o(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((((sqrt(228) - 3*sqrt(228) - sqrt(228)) + sqrt(228))\/sqrt(12) - sqrt(19)) + sqrt(19) - (sqrt(684)*-5 - sqrt(684))) + -4)**2.\nAnswer: -1360*sqrt(19) + 549116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 148509103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -358284 or -357725?\nAnswer: -358284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvdeztmevtmvetdmez. Give prob of sequence vt.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.142 * 0.09199\nAnswer: 0.01306258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + z + 86, -415 = -5*g + z + z. Suppose c - 2*i - 44 = 6*c - 453, 2*i = 14. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(14\/(-8)))\/(3\/(-66600)*-5). What is the highest common factor of v and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 16 = -9*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j - 3 - 9*j**2 + 2*j wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 9*b**2 - b + 4. Give h(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 0)**2 + 2 + 1 + ((sqrt(99) - -2*sqrt(99))\/sqrt(9) - sqrt(11)).\nAnswer: 2*sqrt(11) + 1334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 3*x**2 - 5*x - 4. Let f be j(-2). Suppose -2*n + 26 = f*n + 2*l, 0 = -5*l + 15. Find the second derivative of n*m + 4*m**5 + 5*m + 0*m wrt m.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 8*o**2 - 4*o - 13. What is p(8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44702 is divided by 718?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/880 and -29\/1540?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 45. Suppose 5*s = w + y, 2*w + s + s = 16. Sort -2, -3, w.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -18*t - 635. Let r be g(-36). Solve -3*o + 2 + r = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04382494 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*j)*(2*j**4 + 3*j**4 - 4*j**4)*((2 - 3 - 1 + (3 - 4 - 1)*(0 - 8 - 1) - 1 - 3 + 6)*(0 + 7 - 4) + 1 + 3 + 1).\nAnswer: 118*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6162947184 + -31.8\nAnswer: 6162947152.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 1, t: 1, x: 3}. What is prob of picking 3 t and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = -5*z + 8, -2*g = 2*z - 16. Suppose 0*h + 11 = -2*h + 3*o, -3*h + z*o - 14 = 0. Let -1\/2 - 9\/2*q**h + 2*q**3 + 3*q = 0. Calculate q.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igij when four letters picked without replacement from {p: 1, q: 3, i: 6, y: 3, g: 2, j: 4}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t. Let g(x) = -4978854*x. Determine h(g(r)).\nAnswer: 9957708*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/2 of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 613360 + -34?\nAnswer: 613325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 5*u + 4. Let x be r(2). Suppose -m + 2*w = -6 + x, -w + 1 = -2*m. Which is the nearest to -3? (a) 7\/5 (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.2 + 23. Is 1 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162 (base 8) to base 4.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*b = 3*l - 2128 + 2060, -10*l + 275 = 5*l + 5*b for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 37925*l - 75846.\nAnswer: -(l + 2)*(l + 37923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 15) to base 16.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-4*(-2)\/20). Suppose 0 = -4*x + w + 25. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2108*n**2 - 714*n.\nAnswer: -4216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = -63*o - 53*o + 135*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((-13)\/65)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 0*h**4 + h**4 + (h**3 + 0*h**3 + 0*h**3)*(3 - 3 + 4*h).\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1238145947 - -0.4.\nAnswer: 1.5238145947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 43*a**2 - 328*a + 1. Determine i(-7).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6695, -13473, -20251, -27029, -33807?\nAnswer: -40585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -0.0339\nAnswer: 0.0339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 42 - 33. Sort m, 5, -3.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716374947?\nAnswer: 3, 238791649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 849*a**3 - a**2 - 6*a - 18. Let h(j) = 1694*j**3 - 3*j**2 - 11*j - 33. What is 6*h(o) - 11*t(o)?\nAnswer: 825*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/17*w**2 + 0*w - 6\/17*w**3 - 2\/17*w**5 + 6\/17*w**4 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 16*l**2 + l + 18. Let b = -8 + -8. Let z be u(b). Solve -z*t - 2*t + 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 9. Let u be w(7). Let z be 86\/8 - (-3)\/u. What is the third derivative of -2 + 13 + 3*o**4 - o**2 - z wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10 and ((-2)\/102)\/(4\/(-6))?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:48 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + t**2 - 3*t + 3. Let n(l) = -160*l**3 + 5*l**2 - 15*l + 735. Let x(f) = -5*j(f) + n(f). Differentiate x(s) with respect to s.\nAnswer: -495*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0 + 1\/60*w**5 - 67*w**2 + 1\/24*w**4 - 1\/6*w**3 - 23\/120*w**6 + 0*w. Determine m(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58656 and 28717?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r - 155. Determine c(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {h: 2, i: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.795209 rounded to 2 decimal places?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -38*s**3 - 190*s**2 - 42*s - 143. Calculate w(-5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-583)\/(-636)) + -20?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16114987 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 2:10 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 3 - 13 - 31568*v - 7.\nAnswer: -31568*v - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, q: 1, r: 1, d: 4, u: 4, w: 4}. What is prob of picking 1 u, 1 r, 1 w, and 1 d?\nAnswer: 64\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 16. Suppose r - 5 = -g*j - 21, 2*r = -2*j. Let o(h) = -h**2 + 3*h. Let w be o(r). Put 4, w, 1 in descending order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.97 + 1.97000258. What is i rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 20*u - 19*u. Does 36 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -0.157 in descending order.\nAnswer: 0.2, -0.157, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-32 - (-54 - -7)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 3*g**2 + 12*g + 3. Let t(a) = -a**2 - a - 1. Let f(q) = r(q) + 3*t(q). What is the second derivative of f(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*p*s**3*t - 221*p*s**3 + 13*p*s**2*t + p*s*t - p*s - 3*s**3*t - 2*s**3 + 4*s**2 - 2 wrt s.\nAnswer: 72*p*t - 1326*p - 18*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 86, 132, 216, 350, 546?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z - 9. Let s(r) = -r + 1. Let o(h) = k(h) + 6*s(h). Let q(f) = -3*f + 3. Let i(x) = -5*o(x) - 6*q(x). Differentiate i(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 16) + 12 - (-1 - (-4 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 33*v**2 + 27*v + 49. Let z be u(33). Suppose 0 = 7*s - z + 170. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057 (base 9) in base 11?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -782 and 26566.\nAnswer: 25784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 272832144 divided by 1311693?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:13 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1.4 (c) 12\/17 (d) -17 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85, 86, 87, 88?\n\"Answer: w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9. Let a(l) = -3*l + 38. Let b(h) = -a(h) - 4*v(h). Let j(y) = 6*y - 4. Determine -9*b(x) + 4*j(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o + 4*o + 9*o**2 + 5*o + 1. Let i be (1\/(2\/2))\/(-1). What is the units digit of l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386918 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 140864 divided by 568?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = 2*g - 112, -4*f + 104 = 2*g. Suppose 3*c = -4*x - g + 451, 4*x = 4*c - 540. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151321 is divided by 151284.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1115388 and 0.06.\nAnswer: -1115387.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7)*3)**2 - ((-2*(sqrt(7) - sqrt(49)\/sqrt(7)))**2 - sqrt(7)).\nAnswer: sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -72.6?\nAnswer: 14.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. Suppose 3*k - 3*n = 15, -8*k + 2*n = -4*k - 16. Let v(t) = 6 - 3 + 0 - 1 - k*t. Give v(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/3 - (-276)\/70) + -2. Let p be (2\/9)\/(210\/369). Let b = p + a. What is the second biggest value in -1, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 3*q + 10. Let m be k(7). What is the common denominator of (-24)\/18 - (-71)\/m and 149\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(143)*3)\/(sqrt(539)*-4).\nAnswer: 9*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -181\/7. Let y = 4.9 - 0.9. Which is the third smallest value? (a) d (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24007821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8653.681 kilograms?\nAnswer: 8653681000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 442237.1600331\nAnswer: 442237.1600331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*s - 22 = 0, 2*s - 58 = -3*l + s. Let m = l - 18. Suppose -3*i = n - 74, 140 = 3*n - m*i - 142. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6401.2 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5400 + 5402. Solve -h - 4*t + r = -9, 8 = 2*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6*1)\/((-174)\/1566). Solve 10*t + 35 = x*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15450 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -12, 26, 21 in ascending order.\nAnswer: -12, -5, 4, 21, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4768, -4769, -4770, -4771, -4772?\nAnswer: -4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997*g = 1053*g - 1120 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (-2)\/7 - (-561)\/77.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*l*n**3 - 47*l*n**2 + l*s**2 - n**3*s**3 - 2115*n**3*s**2 - n**3 + n*s wrt s?\nAnswer: 2*l - 6*n**3*s - 4230*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 6:31 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - 5*x)*(205*x + 233*x + 81*x).\nAnswer: -1557*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 18. Let k be q(-6). Factor -6*l - k*l + 9*l - 6 + 12*l**2.\nAnswer: 3*(l - 2)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 7*y - 10. Let g be z(-8). Let r be g\/(-10) - (-18)\/(-30). Are r and 13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45 + -0.03. Let v = l + 0.28. Which is the closest to -2? (a) 3 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -17 (c) -6\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0 - -2)\/(1 - -1). Let h be ((-4)\/14)\/(6\/(-14)). Is h smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 13*o + 5. Let q be l(13). What is the units digit of 452 + -43 - (2 + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 3\/2 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 + 130. Suppose -16*l + a*l + 930 = 0. What are the prime factors of l?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170128 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 18.4.\nAnswer: -25.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 40, 64, 88, 112?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 + t - 1. Let r be p(6). Let k(j) = j + 4. Let d be k(0). Suppose 0 = -z - d*z. Solve z = -i - 3*g + r, -i + 2*g = g - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/4 - 23647*r**2\/2 - 94585*r\/4 - 11823 = 0. What is r?\nAnswer: -47292, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in -1\/4, 1697, -3\/5, -10, -0.4, -3\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.68382 millimeters?\nAnswer: 0.868382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - h + 2*h)*(5 + 0 - 2).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166251 is divided by 2584.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.0611 rounded to 0 dps?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 72. What is the hundreds digit of (y\/6)\/(6\/(1856 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.181 + -94.819. Let q = 76 + l. Which is the closest to q? (a) 2\/11 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20884351 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*y - 0 + 21, 0 = -4*y - 2*a + 10. Suppose -y*j - 5*h - 18 = 7, 3*j = -2*h - 17. Is j*(-148 + 3\/(9\/(-3))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-126)\/8736 - 6\/(-4).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 38. Suppose -4*x = -x. Put i, x, -5 in increasing order.\nAnswer: -5, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*g = 60. Let p(c) = -c**3 + 13*c**2 - 19*c + 8. What is the hundreds digit of p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380 + -1413.\nAnswer: -1793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-320)\/10)\/1)\/(2\/(-11)). Let j = n - 174. Solve 0 = -j*s + 13 - 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 55508545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200119332 divided by 7147119.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/63)\/(-70 + 6666\/99) and (-3)\/3 - (-43)\/33.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 8398719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1763972 and 10?\nAnswer: 8819860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -564 + 568. Suppose 5*o + 50 = -5*z, -7*z = q*o - 2*z + 45. Let u(g) = -g**3 - 4*g**2 + 4*g + 4. Determine u(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmlvzzmlzmzlbbmmbvob. What is prob of sequence bbzb?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -17. Is q a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000609 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4152671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 4*t - 16*t)*(-3*t**4 - 4*t**4 + 5*t**4) - 112*t**5 - 47*t**5 + 38*t**5.\nAnswer: -109*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/((16\/12)\/(-4)) + 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (5 + -6)) + -3 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + j - 19 = -47, d - 3*j - 9 = 0. Suppose 6 + 4 = 2*p. Suppose -p + d = 2*b. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.9642 to the nearest integer.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 18*q - 30. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -10. Let m(f) = -9*f + 3. What is the smallest common multiple of 27 and m(y)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1447*q - 1450*q + 238 = -10*i, 0 = 4*q + 6*i + 166 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5 (base 16) to base 13.\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200011111000 - -2?\nAnswer: 200011111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**3 + 4*d**2 + 19*d + 14. Let p(w) = -4*w**3 + 4*w**2 + 19*w + 14. Let n(o) = 3*m(o) - 4*p(o). Solve n(i) = 0 for i.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42\/18)\/(1\/9). What is the derivative of -31*w - 11 + 26 - t*w + 35 wrt w?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 0. Let k(x) = 7*x + 6. Let i(v) = 6*v + 5. Let q(d) = 6*i(d) - 5*k(d). Let u be q(l). What is the highest common divisor of 42 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1\/6 (c) 1\/7 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1911 + -4686. Which is smaller: -2777 or u?\nAnswer: -2777","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -177*i**4\/2 + 266*i**2 + 312. Find the second derivative of z(c) wrt c.\nAnswer: -2124*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 620 = 102*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/5)\/6*-7)\/(13\/26)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000332392719 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*1*1\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 838 = -913 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -356, -514, -658, -788, -904, -1006?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51629 is divided by 3670.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006335571 rounded to 5 decimal places?\nAnswer: 0.00634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzm when three letters picked without replacement from {m: 2, z: 3, l: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*y - 9*y - 8736. Suppose y = 49*f + 28. Factor -5\/2*z**3 + 3\/4*z - 9\/4*z**5 - 3\/2*z**2 + 21\/4*z**f + 1\/4.\nAnswer: -(z - 1)**3*(3*z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t*t**24)*t)\/t*t)\/(t*t*t*(t*((t**13\/t)\/t)\/t)\/t))\/(t*t**(2\/5)*t)**38 assuming t is positive.\nAnswer: t**(-631\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, h: 7, q: 7}. What is prob of sequence hq?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-10))\/(4\/(-100)). Let t = o - 4. Solve 0 - t = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26*x**2. Let q(j) = -580*j**2 + 2 + 17*j**2 + 545*j**2. Calculate g(q(n)).\nAnswer: -8424*n**4 + 1872*n**2 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5*q**2 - 2*q**3 + q**2 - 7*q**2 to the form z*q**3 + h*q**2 + j*q + i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1965440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 147437592176804?\nAnswer: 147437592176803.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -518 or -882?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**3 - 24*l**3 + 76*l**3 - 24*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 24*p**2 - 54*p - 135. Is 145 a factor of z(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*a - 3*v + 5 = -104*a, -4*v + 6 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3.9. Suppose 0 = -6*q + 3*q + 5*r - 92, -5*r = 4*q + 181. Let s = -315\/8 - q. Which is the closest to -3? (a) 2 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 387940572 by 13998.\nAnswer: 27714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 1\/3*w**3 - 8 + 2*w + 2*w**2. What is c(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 228, 7, -6 in decreasing order.\nAnswer: 228, 7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -4. Let x = 7 - s. Suppose -4*a - 2*p = -2, -p - 9 = 3*a - x*p. Let y(l) = 4*l**2 - l. What is y(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -3 (c) -40 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tggg when four letters picked without replacement from ttgggt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 17. Let g be y(-11). Let j = g - 1. Calculate the smallest common multiple of 11 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5957*o**4 - o + 5958*o**4 - 1 + 0*o**2 - o**2. Let z(c) = -16*c**4 - 25*c**3 + 21*c**2 + 21*c + 1. Let j(y) = p(y) + z(y). Factor j(m).\nAnswer: -5*m*(m - 1)*(m + 2)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 108\/233 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = -238*n - 1120 + 248. Which is the closest to 27? (a) -0.5 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*l - w - w, -4*w = -5*l + 63. What is the remainder when 28 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247924 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168 (base 12) to base 10.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3245087, 3245089, 3245091, 3245093, 3245095, 3245097?\n\"Answer: 2*g + 3245085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/857, 2\/3, -68?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238110431*g**6 + 571*g**2 + 107*g + 50 wrt g.\nAnswer: -28573251720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 219022 divided by -373?\nAnswer: -219022\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Let q(s) = 0*s + 5 + 60*s**2 + 0 + s - 61*s**2. Let n be q(0). Solve n*t = -x + 6, 2*t - 1 = p*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 1. Let t(c) be the second derivative of 8 - 3*c + 1\/3*c**3 - c**2. Give 4*i(d) - 3*t(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000111692 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**3\/6 - 7*q. Calculate i(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 + 1 + (-1 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2609*t - 2619*t + 5227*t. Let d(k) = 21*k**2 + 5. Determine d(z(n)).\nAnswer: 21*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, -6\/521, 1\/7?\nAnswer: -6\/521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2427*d**2 + d**3 - 1137*d**2 + 0 - 1 + 1013*d**2.\nAnswer: d**3 + 2303*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2346 = 4*m - 7*m. Suppose -j + 3 = -3. Let y be 15750*(-3 + m\/j). Round y to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.7 + 23. Let q = -3 + j. Let i = q + 0.4. What is the second smallest value in 1\/4, 2, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103 - 30*x**2 - 2*x**3 + x**3 - x**3 + 3*x**3 with respect to x.\nAnswer: 3*x**2 - 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 4773284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -303?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604, 1204, 1802, 2398, 2992?\nAnswer: 3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 158243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6924510 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 77. Suppose h + 2*h = 0, -3*p + 5*h = -d. Suppose 5*x - 275 = -2*j + 212, -p*x = -2*j + 511. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1732*l*t**5 - 9*l*t**3 - 2*l*t**2 + 1361*l*t - 20*l - t**4 wrt t.\nAnswer: -103920*l*t**2 - 54*l - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f + 160 = -62*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0 - 20. Suppose h = j*r - 17, 20 = 5*r - 0*r. Let v(f) = -f**2 + 2*f + 4. Let m be v(h). Sort 2, -5, m in descending order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*p + 77. Suppose 4*a + 0*a = p. Let m(q) be the first derivative of q**4\/4 - 2*q**3 + 2*q**2 + 2*q + 56. Determine m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 9 (b) -2\/9 (c) 2\/7 (d) 1 (e) -3 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 385?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 655192, 1309838, 1964484?\nAnswer: 2619130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 209, 202, 195, 188, 181?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -168 + -2083?\nAnswer: -222b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 + 2*c**2 + 3 + 5*c - 7*c**2 - 1 + 0. Let q = -26 + 21. Calculate h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + 3*u**4 - 4*u**4 + (-3*u**3 + 3*u**3 - u**3)*(0*u + 5*u - 4*u) - 3*u**4 + 78*u**4 - 11*u**4 + u**4 - 4*u**4 + 5*u**4.\nAnswer: 67*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0483 + -0.0517. Let w = -33 + 33. Which is the closest to -3\/5? (a) l (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3476? (a) -4\/5 (b) -5 (c) -0.2 (d) -2\/2589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-3 - 7\/(-2)). Let l = k - 4. Let r be l\/((-2)\/3*3). Solve -5*o + r*b = -b - 7, -o - 4 = b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.2. Let h be (-2)\/4*(-16)\/6. Let k = 1 - h. What is the biggest value in j, k, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -47. What is the remainder when 45 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62985 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0119290086 rounded to five decimal places?\nAnswer: -0.01193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -10*l + 95. Is (-2 + -23250)\/(-18 + l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2. Let k(z) = -2*z + 5419. What is k(h(p))?\nAnswer: -4*p**2 + 5419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*j - 835 = 0, 0 = 5*t - 3*j - 684 - 141. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 9:43 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 10) in base 7?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-56)*(-88)\/33.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 311, 632, 1063, 1604, 2255?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 43 = 5*d - 24, -5*d + 2*a + 76 = 0. Let p be (-4)\/d + 96\/42. Solve j - 9 = -w - p*j, 4*w - 4*j + 12 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -q. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j. Let d(x) = -x. Give o(d(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 17 + 8. Let i = 8 + k. Solve i = 5*h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 33\/152?\nAnswer: 33\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + o = 8, -m + 2*o - 5*o + 14 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -937964*s**4 - 2*s**3 + 58*s**2 + 848023292*s?\nAnswer: -11255568*s**2 - 12*s + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4055 by -4055.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -328.1 in -1\/3, -3\/4, 0.23?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 5, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 5 - 1 + 1 - 4 as g*f + b*f**2 + k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q + 61673 = -54*q + 301411. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -20*j - 1. Let g(i) = -i. What is g(n(h))?\nAnswer: 20*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 4*q**2 - 2*q + 11. Let s be n(-3). Solve -s*h + 5*h - 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*q - 5*y, -2*y - 64 + 79 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.501 - -0.499. Which is the second smallest value? (a) 1\/4 (b) u (c) -7.4 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9960257 minutes to milliseconds.\nAnswer: 59761.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/156*(-39)\/6. Suppose u - 165 = -4*u. Let v = u + q. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.8 + -3.8. Let n = q + -43. Let y = -2 - -1.8. What is the third smallest value in y, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 210 = 2*r + f, -r + 105 = -5*f. Let x(v) = 9*v**2 + 11*v - 37. Let t be x(4). Let m = t - 130. What is the greatest common divisor of m and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukkk when four letters picked without replacement from ktxtueekkuee.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 702 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 350958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 267, 2, -6, 0 in increasing order.\nAnswer: -6, -1, 0, 2, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99879239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1648577 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25254191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16733319 and 318.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2107694 litres?\nAnswer: 210.7694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 238\/(-357) + (5589838\/6 - 0\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334e (base 15) in base 8?\nAnswer: -332774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.1. Let f(j) = j - 6. Let z be f(6). Let x be z - (-12)\/(-9)*1. Put x, u, 0 in increasing order.\nAnswer: x, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10353329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -1304*x**2 - 15*x + 16*x**4 + 1460*x**2 + 26*x**3 - 33*x - 122*x**3 - x**4 = 0.\nAnswer: 0, 2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*c - 225272, 49*c = -4*w + 52*c + 901043. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {j: 1, t: 1, m: 1, s: 1, u: 2, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4c84 (base 15) to base 3\nAnswer: -211101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(63) + -2 - (-2 + (sqrt(847) - (sqrt(847) + 1))**2) - 5*(sqrt(756)\/(-2*sqrt(12)*3 + sqrt(12)))**2.\nAnswer: -48\/5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:34 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.10997ml?\nAnswer: 0.00710997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 18*g - 33. Let x(i) = -6*i**2 + 124*i + 49. Let y be x(21). Calculate r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -223 + 0*f**2 + 228 + f - f**2. Calculate p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 80, 128, 176?\n\"Answer: 48*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b = -35 - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 334276*t**2 + 3031*t + 6062. Let a(z) = 441*z**2 + 4*z + 8. Determine -3031*a(v) + 4*b(v).\nAnswer: 433*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(360) - (sqrt(360) + (sqrt(360) - (-3*sqrt(360)*-6 + sqrt(360))))) + sqrt(360))*-4)\/(sqrt(24)\/((sqrt(3) - sqrt(27))*5 + sqrt(3) + sqrt(3))).\nAnswer: 7296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419069 (base 11) in base 15?\nAnswer: d3bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kff when three letters picked without replacement from kkkkfofkffkxfkfff?\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 14041993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.59 and 1.8.\nAnswer: -2.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 208\/52 - (1 - -8). Let d(l) = l**3 + 6*l**2 + 6*l - 2. Give d(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, 182, -5 in increasing order.\nAnswer: -5, 5, 14, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1c5318c (base 13) to base 10\nAnswer: -9432006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.927439ml in litres?\nAnswer: 0.001927439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526723 is divided by 173.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2. Let g be 0 + (-1 - 1*-2). Suppose -4*k = -2*z - 12, -2 - 10 = -3*k. Let c(f) = f. Determine g*x(y) + z*c(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011100 + 101?\nAnswer: 100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21444281?\nAnswer: 31, 601, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1515599243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265359 - -265343.955744. Let g = 80.956174 - u. Let s = g - 96. What is s rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14093884 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (0 + -1 + (-19 - -16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 74321949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2486860211\/312 + -7970724. Let m = -262\/13 - c. Find the common denominator of -85\/72 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.8 - -59.2. Let k = p - 73. Which is the nearest to -7? (a) 2 (b) 1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 2*v + 4*v - v**2 + 2*v**3 + (4*v**2 - 3*v**2 + v**2)*(0*v + v + v) + 0*v + 0*v + 2*v**3 - 2*v**3 + 0*v**3 + v**3.\nAnswer: 6*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73726 + -1?\nAnswer: 73725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 352. Let y be (636\/26)\/3 + 26\/q. Solve 5*r - 13 = 4*o + y, r - 4*o = 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121\/1032 - -1\/129. Suppose -3*f + t + 17 = 0, -33*t + 38*t = -f - 21. Find the common denominator of f and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 8. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-21) + (-37)\/(-7). Let s(b) = b**2 - 2*b + 8. Let d be s(r). What is the greatest common factor of 207 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12*n**2. Let f(b) = -137*b**2. Let z(y) = y**2. Let s(x) = f(x) + 6*z(x). What is s(w(p))?\nAnswer: -18864*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 251 - 509 - 4315*w**2 + 257 - 3127*w**2 as u + l*w**2 + z*w and give l.\nAnswer: -7442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -756892*t + 2596204*t + 1573905*t + 1905197*t.\nAnswer: 5318414*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48.654566 and 2?\nAnswer: 97.309132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 71?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -125*s**7\/21 + 19*s**4\/4 + s**3\/6 + 6*s**2 + 31. What is the second derivative of h(m) wrt m?\nAnswer: -15000*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = c + 4*a, -6*c + 4*c = a + 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -172 in 1\/10, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**3 - 189*w**2 - 2202*w - 8498. Let f(i) = -i**3 - 2*i**2 - i + 1. Let p(r) = 2*f(r) - v(r). Factor p(q).\nAnswer: 5*(q + 10)**2*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221022212 + -11?\nAnswer: 11221022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3 - 4*v - 4 + v + 3*v + v. Let c(y) = 20*y - 4. What is -c(k) + 2*w(k)?\nAnswer: -18*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -131.9 and -12939 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13390*l - 14766*l + 162713*l + 141712*l.\nAnswer: 303049*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*a + 34 + 5, 0 = a + p - 24. Let g be ((-8)\/(-12))\/(2\/a). Suppose -4*b = -3 - g. Solve -2*v + b = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 336524679, 673049355, 1009574029, 1346098701, 1682623371, 2019148039, 2355672705?\n\"Answer: -s**2 + 336524679*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - (10 + (-4 - 0) + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l**2)*(-13 + 6*l**2 + 13) - 10*l**3 - 5*l**4 + 10*l**4 - 5*l**3 + 0 - 2*l**4 + 0.\nAnswer: 15*l**4 - 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -180669.9064 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 507414.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.44 * -1112731.\nAnswer: -489601.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -10, 5*o - b - 3*b = 63. Let f = -10 + 10. Suppose -2*a - 2 = -f, 5*v = 2*a + 17. Calculate the least common multiple of v and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79.5 - -79. What is the closest to -8\/7 in q, -1\/3, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*p + v - 104, -3*p + 17 = 2*v. Let u(f) = f + 5. Let z(x) = x - 1. Let j = 11 - 15. Let o(b) = j*z(b) - u(b). Give o(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 1, y: 6, n: 3, v: 3}. Give prob of picking 1 g and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 635104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/4669 and -103\/3990546.\nAnswer: 115725834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 - (32 - 98) - ((-1 - 0) + 4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54203 by 54203.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 0*m**4 - 8*m**4 + 4*m - 2*m**2 + 7*m**4 as u*m**3 + x*m + f + b*m**4 + r*m**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3627 = 13*v - 1495. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 = -2*v + v, -4*v + 5*p + 114 = 0. Let a = -527 - -735. What is the greatest common divisor of v and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142428, -284857, -427286, -569715?\nAnswer: -712144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9017*h**2 - 39 + 57*h**4 + 9017*h**2 with respect to h.\nAnswer: 228*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 943?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 3*n = 980. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 114, 121, 130, 141?\n\"Answer: h**2 + 4*h + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(5 + sqrt(1053)*2*2*2 + (sqrt(1053) - sqrt(1053)*2*-6 - sqrt(1053))*-1).\nAnswer: -432*sqrt(13) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(1\/(-60)*-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 705. What is the remainder when 38 is divided by (-2)\/10 - (n\/20 + 6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514*y = -546*y + 19200. Calculate the greatest common divisor of y and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*q**3 + 30019*q**2\/2 - 674644*q - 8541\/2 = 0. What is q?\nAnswer: -1\/158, 73, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/80500 and 111\/3500.\nAnswer: 80500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(3\/4)*h)\/h**13)\/(h**0)**(-13\/2))**(-1\/12))**(-29\/3) assuming h is positive.\nAnswer: h**(-145\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -6, 2\/9, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17808033 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2553, -0.4, 403 in increasing order.\nAnswer: -2553, -0.4, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d - 145. Calculate z(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -20*z**2 - z - 1. Let h be y(-1). Suppose -3*w - 4*q - 9 = -q, -2*q - 10 = 4*w. What is the units digit of (-3)\/(w*(-2)\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**4\/24 - c**3\/6 - c**2. Let n = -9 + 11. Calculate a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54 + 0 + (-1 - -2). Let z be 3\/(-5 + 452\/88). What is the greatest common factor of z and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(128)\/sqrt(4) + 2 - sqrt(32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**2 + 372*l**2 + 403*l**2.\nAnswer: 742*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 106, -79, -264, -449, -634?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50688, -50956, -51402, -52026, -52828, -53808?\nAnswer: -54966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -545342 less than or equal to -545322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4421506, -4421510, -4421514?\nAnswer: -4421518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10567 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 - (1 + -5 - -6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - p - 3*p + 47, 0 = -2*g + 4*p + 18. Suppose 5*w - m = g, -6*m = 4*w - m + 7. Solve -w = -d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 + 138. Suppose 0 = -6*d + s + 9. Solve p = -4*i + 13, -d*p + 0*p = 2*i - 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -15*z + 12*z + 47115, 4*z - j - 62831 = 0. Does 113 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 550\/2759 - 12\/89. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o - 12 = 0. Let h = 11 - 3. Suppose 12*y - 16 = h*y. Calculate the smallest common multiple of o and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10 = 2*t, 17*u + 4*t = 12*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 - 67*d**2 - 14*d + 154. What is i(-22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17978 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m. Let y(w) = w**3 + 2*w**2 - 11*w - 4. Let o(h) = 4*h**3 + 7*h**2 - 35*h - 14. Let c(l) = 2*o(l) - 7*y(l). Give -6*a(d) + 7*c(d).\nAnswer: 7*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -157*s - 8173. Calculate u(-52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -5, 0.32, -1\/4, 785, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 444263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 84354, -4\/3, 4, -3, 8 in increasing order.\nAnswer: -3, -4\/3, 4, 8, 84354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3\/7*s**3 - 9*s**2 + 1296\/7 - 534\/7*s = 0.\nAnswer: -8, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -8b?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -2\/69 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1\/4 (c) -0.4 (d) 1\/2 (e) 0.127 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 55\/(-15) - -4 - -21. Let z = 21 - r. Which is the nearest to z? (a) 0.1 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -439 in 0, -2\/13, -28\/69, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(3) + 1)**2 + 1) + (sqrt(1200)*-1)**2)*1.\nAnswer: -4*sqrt(3) + 1190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-24))\/3*256836\/1259\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.8 - 19. Let a = t - -3. Let u = 407823\/4 - 101956. What is the closest to a in 0, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 5*m**2 - 5*m - 5. Let v(o) be the third derivative of -o**5\/60 + o**4\/24 + o**3\/6 - 42*o**2. Give 2*t(g) + 10*v(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*o - t + 2, 4*o + t - 11 = 0. Suppose o = -2*i + 3*c, -5*c - 18 = 2*i + 2. Is 13 a factor of i\/(5\/1) - -131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 6\/5 (b) -2 (c) 2\/17 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54026, -54302, -54766, -55418?\nAnswer: -56258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*i = -0 - 5, 2*d - 4*i - 4 = 0. Suppose -4 = -2*m - d. What is n in 0*n - 2\/3 + 2\/3*n**m = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -390*((-6)\/(-12))\/(6\/6). Which is smaller: -194 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:50 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46 or 2\/385?\nAnswer: 2\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6708, -53222, -179356, -424920, -829724, -1433578, -2276292, -3397676?\nAnswer: -4837540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*-0.821.\nAnswer: -0.22988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/93092664 and 29\/23273166.\nAnswer: 93092664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:57 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g = -0*g - 20851. Let m = 445 - g. Which is smaller: -275 or m?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38403 - 921527\/24. Let z = 9\/6403 - -876995\/153672. Find the common denominator of z and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 12*m**2 - 3*m + 6. Let b be z(-11). What is the common denominator of 89\/2 and b\/(-176)*-1*-1?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40dbd (base 14) to base 6.\nAnswer: 3203551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 9:31 PM?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {p: 11, k: 9}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - -3 - (-124)\/279.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.575 in 5, -18, -2\/13, -10, -7, 2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/5, -108, -1, 0.4, -5, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -39. Let f be 6500\/5*(-2)\/l. What is f rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.87533 milligrams in kilograms?\nAnswer: 0.00002687533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2385.94 + 2386. Let m(q) = -4*q - 7. Let f be m(-3). Which is the smallest value? (a) -0.2 (b) f (c) z (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 9*h**2 - 7*h**2 - 2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 5*d**2 + 6*d - 8. Let p be k(-6). Let q = p + 8. Put q, -3, -1 in increasing order.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 - 126. Solve o - 3*o - f = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 31 + 3 = 0. Let k = f - -12. Let a(q) = -q**2 + q - 1. Let d(g) = -3*g**2 + 4*g - 8. Calculate k*a(o) - d(o).\nAnswer: -2*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207942 is divided by 153.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*b = -0*m - 146, 2*b = -6. Let i(g) = g - 26. Let t be i(m). Solve t*j - 4 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93966.7s in milliseconds?\nAnswer: 93966700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -210143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 - 3*a)*(-1 + 2 - 2)*(1 + 0 + 0)*(-623 + 675 - 539) in the form o + f*a and give f.\nAnswer: -1461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 11:01 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.8 - -10.8. Suppose -4*x = x + 20. What is the closest to x in h, -1\/9, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*d + 92, 0 = -4*b - 0*b + 3*d + 100. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 21 - 13 - y + 8*y to the form r + u*y and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 10*z**2 - 10*z - 8. Is y(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**2. Suppose 0 = 3*i - 12 + 3. Suppose j = -4*u + 3, 5*j = -i*u + 8*u + 15. Let b be l(u). Is b at most as big as -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*n - 4444 = 284*n - 110*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 660 times 11.51\nAnswer: 7596.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -47*s**3 + 2*s**2 + 2*s + 1. Let u be d(-1). Let j = -46 + u. Suppose -m + 3777 = j*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2597960?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/78 and 3\/1232.\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 3 - 6*l**2 + 23*l**3 - 29*l**3 + 5*l**2.\nAnswer: -6*l**3 + l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143895019 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301 (base 4) to base 9.\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2699665.07383 minus -0.1?\nAnswer: -2699664.97383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2083617*u**2*x**6 - 8*u**2 + 9792*x**2 wrt x.\nAnswer: -250034040*u**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + 1 + 0*z)*(22*z - 22*z - 24*z**4).\nAnswer: -24*z**5 - 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r + 10*r - 12*r - 448*r**2 + 449*r**2.\nAnswer: r**2 - 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 920 and 608736.\nAnswer: 70004640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -205*p**3 + p**2 + 3*p - 15. List the prime factors of r(-4).\nAnswer: 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/69*9*(1 + -2). Solve 4*v - 3*d + 17 = -0*d, 0 = 4*v + t*d + 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3791988\/115 or -32975?\nAnswer: -3791988\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -27. Let r = w + 26. Let u be r\/(-3) + 7\/7. Solve -3*n + 3 = -u*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3\/6 + 15877525*r**2\/3 + 16806344334895*r\/2 - 67225716060540 = 0 for r.\nAnswer: -3175509, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24231?\nAnswer: 3, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h + 1. Suppose 0 = -4*w - 3*x + 20, 2*x - 6 = w - 0*x. Calculate the least common multiple of w and c(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 9. Let k(c) = c + 4. Let b(s) = -9*k(s) - 4*x(s). Let i(v) = -9*v. Give i(b(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 180?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.46 - 1.46. Let i = 99 + -492\/5. What is the nearest to u in i, 0, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644 + 545 = -33*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -460.5593662 + 0.3?\nAnswer: -460.2593662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 (base 8) in base 10?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -45 and -45 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4519125 < -4519128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -683 at most 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 326 + 326)*(-3 + 3 - k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13034 and 1596.\nAnswer: 78204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 4*c = 2*g + 8, 3*c + 17 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*m + 7*m - 129 - 781. Solve -m*s + 12 = -144 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 12*l. Let p = 16 - -8. Let k = -12 + p. Let z(y) = -y**2 - 5*y. Calculate k*z(f) + 5*g(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k. Let q(l) = 11650 + 4*l**2 - 11650. Give q(a(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 2, d: 1}. What is prob of sequence fqqf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -20*c**4 - 31*c**2 - 1449*c - 9. Let q(z) = 9*z**4 + 16*z**2 + 724*z + 4. Let j(d) = 2*f(d) + 5*q(d). Find the second derivative of j(y) wrt y.\nAnswer: 60*y**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -4*h + 40, -21*h + 39 + 181 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 240560 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0191313l in millilitres?\nAnswer: 19.1313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 18 = -68. What is the third derivative of k**6 - 10*k**5 - 18*k**6 + 4*k**5 - 361*k**p + 283*k**2 wrt k?\nAnswer: -2040*k**3 - 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1452 or 1451?\nAnswer: 1452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 32*y = -28 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 1 + (1 - ((1 - -3) + (37 - 33))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 2, q: 3, v: 1, w: 3}. Give prob of sequence wwv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 15 - 16 = -4*q, 12*q + 38 = 6*m + 17*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19118 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = -0. Suppose -m*k**2 - 30 + 30 = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 861 (base 10) to base 7\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*r + 80 = 4*r, 4*o + 5*r + 147 = 0. Let d = o - -3. Let j be d\/(-21) - (-4)\/(-6). Solve -2*u - 2*z + 6 = 0, -u - 4*z - z = j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.69 - -53. Let s = p + -1.31. Let d = 64 - 64.01. Is s at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*j + 2. Let z = j - 1. Calculate the highest common factor of 28 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 2*x**2 - 2*x**2. Suppose 4259 = 5*h + 2*v, 2*h + 376 = -2*v + 2082. Let r(c) = h - 851 + 3*c. Calculate n(r(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -528*l**4*v**2 - 2*l**2*v**2 - 1806*v**2 wrt l?\nAnswer: -2112*l**3*v**2 - 4*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20416 and 9454?\nAnswer: 3327808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 1 - 14. Suppose v*j = -5*i - j - 21, -4*i - 17 = 3*j. Which is smaller: -6 or i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -81*x - 124*x + 106*x - 154*x - 60. What is the tens digit of s(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 48. Let i(h) = 3 - b*h**2 + 1 + 62*h**2 + 4*h + h**3 - 32*h**2. What is i(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 182 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 750 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 36 (b) 2\/9 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 35*m - 113. Let u be q(13). Solve u*v - 16 = 4*g, 3 = v + 5*g - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 + 6*w - 14. Let i be y(-5). What is the remainder when 880\/24 + 2\/i is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 56. Let x be a(-24). Let f = x + 15. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -80583 and 0.05.\nAnswer: -80582.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -130.9. Let o = q - 38. Which is the second smallest value? (a) o (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455148162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a + 4 = 0. Let y be (1 + a)\/(-27 + 1). Let m = -7 + 7.1. Is m at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 36*u + 3. Let w be d(9). Put w, 4, -11, 2 in descending order.\nAnswer: 4, w, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116770361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 975761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 18. Suppose -5*g + m = -g. Let c(y) = 5*y - 2. Is 9 a factor of c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9198.93 + 9199. What is the biggest value in q, -0.3, -0.08, -3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 + 176.6. Let g = d - 20. Is 0 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1196 + -844. Suppose 4*x = -0*x + q. Suppose t = -3*t + x. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -16*u - 23. Let x be q(-2). Sort 3, 4, x, -1 in descending order.\nAnswer: x, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*q + 0*q + 2942 = 0, -5*y + 4955 = -2*q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 16) to base 7\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34595*k**3 - 54661*k**3 - 10152*k**3.\nAnswer: -99408*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2 + (5 - 4 - 3)*(-1 + 1 + 2))*(4*z - 2*z - 3*z)*(-8 - 1 - 23).\nAnswer: -192*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6*z - a**5*z - 2*a**3 - 3*a**2*z + 4*a**2 - 2*z wrt a?\nAnswer: -120*a**3*z - 60*a**2*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (0 - -2) + 33\/(-11). Let r be u\/(-7) - 123\/(-7). Calculate the greatest common factor of r and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:36 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-9) + (-134)\/(-3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from {k: 8, w: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 4*q**3 - 3*q**3)*(1 - 3 + 0).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 26*b - 56. Give x(27).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(135)*-1)\/(2*-2*sqrt(320)).\nAnswer: -45*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -5276?\nAnswer: 5271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 - 63444*h\/5 + 1840717\/5.\nAnswer: -(h - 29)*(h + 63473)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + ((-2)\/(-1) - -17). Suppose 3*k = -2*k + 10. What is the greatest common divisor of k and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/9*(648\/660)\/(-9)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/49 and 11\/1085.\nAnswer: 7595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*s - 16 + 84, 3*m = 4*s - 151. Suppose -2*g + 957 = -g. Suppose -3*p = 117 - g. Calculate the greatest common divisor of s and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l - 132 + 174 = 324 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25532 is divided by 2300?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1578577 and 17017?\nAnswer: 26835809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -58253.\nAnswer: -3\/58253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.95038 take away -7.04662?\nAnswer: -9.90376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*t - 139*t + 963 = 0. Suppose -5*q - 3 = p - 15, -2*p + 9 = 5*q. What is the units digit of -4 + q - t - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0 + 0*p**2 + 3*p + 1\/6*p**3. What is the lowest common multiple of 5 and t(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -5*q**6\/6 - 2*q**3 + 13. What is the third derivative of v(g) wrt g?\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-10\/9))**(-1\/29) assuming m is positive.\nAnswer: m**(10\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 908064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*d**2 + 233*d**2 - 460*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/3)\/(91\/(-364))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 833*l - 9 = 832*l, 0 = -t - l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-9) - 690\/1350. Which is bigger: x or 0.0644?\nAnswer: 0.0644","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51 (b) -3\/4 (c) -60 (d) -3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 20*t + 1660 = -226 + 517 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -1\/3*j**3 - 3*j - 2*j**2 - 16. Give c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*g - 12, 0 = -2*g + 5*b - 13 - 2. What is the first derivative of 10*m - 3*m + g + 2 + 1 wrt m?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -54. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-25)\/(-10))\/((-11)\/4). Let i = 4.1 + -4. Which is the closest to -1? (a) f (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 959538502*q**4 + 4471*q**2 + 93046 wrt q.\nAnswer: 23028924048*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -256*q + 14. Let j(h) = 55*h - 3. Let i(p) = -14*j(p) - 3*u(p). Let t(b) = -372*b - 2. What is t(i(o))?\nAnswer: 744*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2992?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 1 + 8 = 0, -2*f - 5*b = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 25*t**2. Let z be p(-25). Solve z*r - 5*r = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (-6 - -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-10962114\nAnswer: 5481057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1177*y**2. Let s(z) = z**2 + 5771*z - 5*z**2 - 3*z**2 - 5771*z. Give s(m(k)).\nAnswer: -9697303*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141391\/123162 - 92\/1579. Calculate the common denominator of -37\/9 and w.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-42)\/12)\/7)\/(-5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2\/n**30 assuming n is positive.\nAnswer: n**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyllyyylyyy. What is prob of picking 3 y?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 5 + (sqrt(400)*2*2)\/(sqrt(192)\/sqrt(6))).\nAnswer: 2 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 36 = 2*g + 3*k, 0 = 4*g + 3*k - 18. Suppose g + 104 = -11*x. Is x bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 46, -4 in increasing order.\nAnswer: -5, -4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -13*s**2 + 34. Let p(h) = -9*h**2 + 23. Let m(o) = -7*p(o) + 5*q(o). Let u(d) be the first derivative of m(d). Let a(j) = 2*j. Determine u(a(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -547, -1597, -3293, -5623, -8575?\nAnswer: -12137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v**2 + 7*v - 1. Let r be q(-3). Calculate the highest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 + 40*v - 13. Calculate z(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.05 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 458e04 + 55?\nAnswer: 458e59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 973653 divided by -661\nAnswer: -1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 22*d + 24*d + 15*d - 60*d. Let h(p) = 2*p**2 - 549*p. Calculate u(h(x)).\nAnswer: 2*x**2 - 549*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33, 40, 47, 48, 37, 8, -45?\n\"Answer: -a**3 + 6*a**2 - 4*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/4405204 and -11\/3?\nAnswer: 13215612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*k = -0*k + 58. Calculate the remainder when 4117 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(4\/12). Let p = g + 2. Find the second derivative of 0*l + 5*l**p - l - 3*l**3 wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/14 in -3\/4, 2\/5, -7, 0.2, 6\/65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 1348*z - 11938. Give t(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.164 and 0.68.\nAnswer: 0.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -199776*i**6*u**3 + i**6 - 6*i**2*u**2 + 6*i**2 - 142*i*u**2 + u**3 wrt i.\nAnswer: -23973120*i**3*u**3 + 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, -0.001, 5\/3?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = d - 25, -4*d + 7*d + 65 = 5*l. Suppose -4*m - 1 = -g - 3, 8 = -4*g - 3*m. What is the remainder when (-19)\/(0 - (g - -3)) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 6) to base 8\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (5 + 12)) + 25?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/16 - 185\/(-4). Let r be -2*5\/(-35) + c\/7. Let a be (-4)\/(-22) + 40\/22. Solve -r = 3*z + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*q**4 + 14*q + 11*q**4 - 5*q**4 wrt q?\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k - 3. Suppose -20 = -5*q, 5*i - q + 0*q - 21 = 0. Let u = i + k. What is the remainder when 3 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -50*b + 17. Give n(5).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 740207 - 723420.784. Let x = f - 16732. Let t = x - 54. Round t to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - (-7 + 16\/(-56)). Which is the second smallest value? (a) 2 (b) z (c) 0.2 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:06 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28740465 by 1916031.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.031 and -0.03049.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32.907 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Suppose 9 = 2*h + 3. Let q(o) = o + h*o + 2*o. Calculate q(i(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41603414 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71.5 - -4.5. Let o = c + 68. Sort -1, 1\/3, o, -2\/5 in decreasing order.\nAnswer: o, 1\/3, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126820 or -2155918\/17?\nAnswer: -126820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k - 154. Let g be o(-20). Let m be 6\/(-24) - g - (0 + 5). Are m and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 43*x**2 - 21*x.\nAnswer: -x*(x - 21)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146446780.\nAnswer: 2, 5, 227, 32257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13696 is divided by 4503.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (4 + 1)) + 1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1456 divide 9743552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 26*n + 2730 - 2730.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = 3*g, 4*y - 22 = -5*g + 6. Suppose -r + 2*r + 2 = 4*n, 2*n + 2 = y*r. Calculate the highest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191 + -1867\/10. Find the common denominator of l and -51\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5 and -20\/67.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*v)*(2*v**2 - 2*v**2 - v**2 + 1 - 1 + 3*v**2 + v - v**2 - v + (v**2 - 2*v**2 + 2*v**2)*(5 - 5 - 1) + 4 - 2*v**2 - 4 - 16*v + 16*v + 12*v**2).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294944 by -73736.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o - 16*o + 159 + 381 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 22, -5, -3 in descending order.\nAnswer: 22, 11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 1\/2 (b) -1 (c) 158 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/60 - k**5\/30 + k**4\/24 + k**3\/6 - 2*k**2. What is the remainder when (7\/(-14))\/(2\/(-76)) is divided by h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x - 3*v + 19 = 0, -4*v = -3*x + 20. Calculate the smallest common multiple of x and 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*4\/(-16))\/(27\/(-6)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1813*u - 1812*u + 15 = 7*a, -5*u - 4*a = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1457 + 1457.019824. Let b = x + -0.02. Round b to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 1, m: 2, k: 1, b: 4}. Give prob of sequence mm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 6. Let t be 1*(-7 + 1 + -1). Let w be h(t). Let f(a) = a**3 + 19*a**2 + 19*a + 25. Let x be f(-18). Solve -2*u = w + x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a527 (base 14) to base 5.\nAnswer: 1402310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 7*p**2 + 11*p - 12. Let j be x(8). Let k = j - 6. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/7 (c) 0.05 (d) -3\/7 (e) 954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1947167680 divided by -2.\nAnswer: -973583840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o*o**(-5)))\/(o**(4\/3)\/(o**0*o))*((o**(2\/3)*o)**(1\/23))**(2\/15) assuming o is positive.\nAnswer: o**(1382\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, -88, 0, -79 in descending order.\nAnswer: 0, -79, -88, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 1279164*x.\nAnswer: 4*x*(x + 319791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 892728 divided by -3?\nAnswer: -297576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7231*i + 2410*i + 2412*i + 2408*i. Let k(l) = 3*l + 1. Calculate -14*h(g) - 4*k(g).\nAnswer: 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:37 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9. Suppose v = 3*o - 3*l - 1692, -o = -0*o + 5*l - 558. Is o 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 didwxjxa. Give prob of sequence ad.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - -166. Let q = g - 52. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 8*x**2 - 14*x - 6. Give k(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v - 4. Let c be f(3). Let s(z) = 18*z + 144. Suppose -7*r - 48 = 8. Let k be s(r). Solve -2*d = -0*d + 4*i, k = -c*d + 2*i - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - 3) + 5 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41732, 41781, 41870, 42005, 42192, 42437, 42746?\n\"Answer: y**3 + 14*y**2 + 41717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -611 - -5501\/9. Which is the second biggest value? (a) j (b) -20 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28203?\nAnswer: 3, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, 13, 2239, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {m: 3, o: 9, v: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24984 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7)**(3\/19))**(-38) assuming b is positive.\nAnswer: b**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17708 and 4864.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 742*i**4*r - 19*i*r - 2*r + 19942 wrt i.\nAnswer: 2968*i**3*r - 19*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 8 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52445.\nAnswer: 5, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89220 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-4 + 2)*1. Let x(w) = 0 + 3 - 2 - w + h. List the prime factors of x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from mmmpadpmasmmprs?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l + 2. Let o(h) = 34*h + 22. Let d(r) = j(r) + o(r). Is d(32) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2530 and 403144?\nAnswer: 22172920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8375 at most -50257\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410325*i**2 - 1641288*i**2 + 410322*i**2 + 410322*i**2 + 410320*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u + 22*u + 12 + 2*u + 5*u. Is y(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 - 0.1. Let l be (-25)\/7*21\/108. Let x = l - -1\/36. What is the closest to x in -2\/5, 0.5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84139 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: 1.05 * -1076\nAnswer: -1129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -104, -102, -102, -104, -108, -114?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -5.3162217?\nAnswer: 5.7162217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - 3*x)*(3252 - 486*x - 3252).\nAnswer: 1458*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*((-60)\/24)\/((-25)\/(-20)*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1. Let s = -699 + 694. Let w(d) = -15*d - 5. What is s*o(b) - w(b)?\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 954 and 424?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**3\/8 + z**2\/4 - 3*z\/8 - 1\/4 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 1216502443.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.27.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7\/4*j + 1\/2 - 1\/2*j**4 + 1\/2*j**3 - 1\/4*j**5 + 2*j**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 44*l**2 + 244*l + 12. What is the remainder when w(19) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 59*q + 14. Determine z(2).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -1, -64 in descending order.\nAnswer: 6, 5, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1. Let y(k) = k + 3. Let n(b) = -24*b**2 - b. Let u be n(-1). Let z = -24 - u. Give z*y(r) + 3*q(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(931)) + sqrt(931) - sqrt(931))*1 + (-2 + 2 + sqrt(19) + 2)*-1.\nAnswer: 4 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -30*c + 545. Let j = 127 + -127. Let b be z(j). Round b to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.89. Let l = p + 2.11. Which is the second smallest value? (a) l (b) 1\/7 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 5*z + 3*y, -5*z - 48 = 4539*y - 4538*y for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + p - 536 = 0, 0 = -2*o - 0*o + 3*p + 361. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737913751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*x - 2, 3*x - 1 = 5*g + 2. Let c = g + 3. What is the least common multiple of c and 1 + (-1 + -9)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + a = 2, 4*a - 13 + 5 = -u. Let x be (-72)\/72 - (-1 + -4 + 1). Solve x*f + 6 + 0 = u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g - 149. Let m be i(-17). Suppose m = 4*j - s - 106, -s = 5. What is the highest common divisor of j and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260 * 0.001618\nAnswer: 0.42068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3673 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g**2 + 2*g. Let y be s(-3). Suppose 5*c - 174 = 2*k, 5*k = -3*c + 6*c - y. Let d = -864 + 868. What is the highest common factor of c and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*l = 76, -2*b + l + 34 - 4 = 0. Let z = b + -12. Suppose -6*f + 104 = -2*f + 3*j, z*f - 4*j = 161. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 197189.7 and -0.3.\nAnswer: -59156.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35405903.\nAnswer: 13, 409, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10461*h + 104567. Determine v(10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**3 - 7*t**2 + 4*t - 4. Let u(n) = -n**2 - n + 1. Let s(p) = -o(p) - 4*u(p). Find the third derivative of s(k) wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -810*x**4 - x**2 - 1142*x?\nAnswer: -9720*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 5*w - 10*n - 47, -4*w + 2*n + 36 = 0. Solve 0 = -28*k - w*k - 140 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.32 (b) -0.2 (c) -2146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.276 + 0.124. What is the closest to 11\/5 in -4, -1, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (815 + -778)*(0 + 1322\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 455673203 to the power of 1\/2, to the nearest integer?\nAnswer: 21347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111999.\nAnswer: 3, 37, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*h - 3 - 1 + 35*h + 1251*h**2 - 82*h to the form o*h + g*h**2 + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -3*m - 20. Let z be ((-28)\/m)\/(1\/(-10)). Suppose -3 = -z*b + 5*b. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 + -125. Let n be (-7704)\/(-135) - (-4)\/(-10). Let g = x - n. What is the closest to 1 in 0.5, 2\/7, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -264 + 260. Suppose 0*p = -5*p. Which is greater: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w. Let d be (-4)\/(-3)*12\/(-8). Let t be g(d). Is t bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104124344332 + 13?\nAnswer: -104124344314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(-1)\/u)\/u)**(1\/14)*(u\/(u\/(((u**(-2\/9)\/u)\/u)\/u)))**(-45) assuming u is positive.\nAnswer: u**(1014\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 24. Put 2\/23, -0.5, r in decreasing order.\nAnswer: r, 2\/23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/8065 and -62\/196795.\nAnswer: 317430335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w. Let i(p) = p - 2218506. Calculate y(i(b)).\nAnswer: -5*b + 11092530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20944617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -352 + 175. Let u = b - -93. Round u to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17151461*4\nAnswer: 68605844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2\/(-3)) + 0. Let k = -130 + 648\/5. What is the nearest to -1 in 0, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 7\/(-4). Let b(x) = x - 1. Let v(s) = 3. Let i = 16 + -17. Let n(a) = i*v(a) + j*b(a). What is n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 - 24 = -3*l, 2*o - 20 = -3*l. Let c(z) = -2*z**3 + 7*z**2 + 5*z. Let y be c(l). Suppose 9*f = -y*f + 10231. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3540113, 3540120, 3540131, 3540146?\n\"Answer: 2*j**2 + j + 3540110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 16*g = -2*x - 7, 0 = 5*g - 6*x - 31 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.019357 millilitres in litres?\nAnswer: 0.008019357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1689533*x + 424385?\nAnswer: -1689533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226445 (base 8) in base 7?\nAnswer: 5053204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27607*l**3 + 55152*l**3 - 27588*l**3.\nAnswer: -43*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -401 + 4*i - 3*i + 85. Let u be p(0). Let c = -204 - u. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42781\/211 less than -203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 5213550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15615 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 30*t**2 + 29*t + 4. Let p be y(-31). What is the second derivative of 4*u + 1 - 12*u**2 + 0*u + 12*u**2 - p*u**4 wrt u?\nAnswer: -792*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -3364, 1, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101\/17 - 3583\/357. What is the common denominator of -29\/3822 and p?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 0)**2 - (sqrt(70)\/sqrt(2))\/sqrt(7).\nAnswer: -sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/39 - (-84889)\/(-543543).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p + 1. Is p != -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 10*k + 8.\nAnswer: -(k + 4)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 277*l - 141. Let s(h) = -210*h + 106. Calculate 9*s(f) + 7*w(f).\nAnswer: 49*f - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 401\/7 - 57. Suppose 4 = 4*u - 2*u. Let i be (u\/(-6))\/((-3)\/(-9)). Which is bigger: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + f = 17, 2*f = -2*z - 2*f + 26. Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*t + 40 = 0. Suppose 35*w = 40*w - t. Which is greater: 8 or w?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5008606 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -c - 29, 0 = q + 4*c - c - 23. Calculate the smallest common multiple of q and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:36 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11364797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -85*n + 1. Let r(s) = 140*s - 2. Let f(h) = -10*c(h) - 6*r(h). Let l(q) = -11*q - 2. Calculate 4*f(k) + 3*l(k).\nAnswer: 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070 is divided by 1500?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*b - 113*b = -38 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 6*a**2 - 4*a + 5. Suppose -7*r + 4*r + 5 = 2*o, -5*r + 45 = -4*o. Let g be h(o). Let z be -1*(0 + -2 - -1). Solve 0 = -s + z - g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15) - 196\/(-10). Let s = r + -13. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 16. Let f(m) = 7*m**2 - 12*m - 11. Let d(c) = -6*c**2 + 11*c + 10. Let w(s) = h*f(s) + 6*d(s). Calculate w(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2179104, -4358213, -6537324, -8716437, -10895552?\n\"Answer: -z**2 - 2179106*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 4. Calculate q(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -138, -189, -226, -243, -234, -193?\n\"Answer: t**3 + t**2 - 61*t - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2668 divide 473852928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.853004 grams to micrograms.\nAnswer: 1853004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 16. Let g be u(-10). Suppose 0*n = 4*s + 2*n - g, s + 2*n = -1. Put 4, s, -2 in descending order.\nAnswer: s, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3107 - 2\nAnswer: -3.3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.575538m?\nAnswer: 3575.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21882 is divided by 304?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -302*k + 94519. Calculate v(313).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -3171.4.\nAnswer: -3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 + -873*21\/(-945) + 1. Solve -2*x + 3*x - 13 = -2*c, m = 3*c + x for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-1\/15)*w*w*(w**(-17)*w)\/w*(w**(1\/13)\/w)**(-2\/11) assuming w is positive.\nAnswer: w**(-29813\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126659*o**4 + 2725*o**2 - 2*o + 8?\nAnswer: -3039816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzkzdzzdedd. What is prob of picking 1 z and 1 d?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -313 * -68668.2.\nAnswer: 21493146.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -807, -1223, -1617, -1983, -2315, -2607, -2853?\nAnswer: -3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b. Let g(o) be the second derivative of 6*o**3 + 29*o. Determine w(g(y)).\nAnswer: 108*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22370? (a) -2\/11 (b) 10 (c) -2\/9 (d) -1 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4643702*r**2 + 6328972?\nAnswer: -9287404*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9013553 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -56\/678711?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2981454, 5962908, 8944362, 11925816, 14907270?\nAnswer: 17888724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/315)\/((-2)\/(-10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 379, 563, 743, 919?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-45))\/(20\/6)*5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/((-4)\/3). Calculate the remainder when 2040\/9 - (i\/(-3) - 0) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336110724*m**6 + 40055*m**2 + 14823*m wrt m.\nAnswer: -40333286880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5, z + a = -3*z + 31. Suppose 0 = 3*t - 7 - z. Let y(o) = 2*o**2 - o**2 - 5 + 2*o - t*o**2 - o**3. Give y(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179018 and 167846.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122220125 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:01 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(3 + 1 + -6). Let u(d) = -d**2 - 2*d + 5. Let f(o) = -o + 3. What is c*f(a) - 3*u(a)?\nAnswer: 3*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -19, 29, 2, 4 in ascending order.\nAnswer: -19, 2, 4, 20, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24529129.\nAnswer: 2153, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9282 is divided by 1954.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -170788.9 to the nearest one thousand.\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -570 and -3.325.\nAnswer: 1895.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from zabxfafxfaaaxffx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**3\/3 + 5*g**2 + g. Let k be u(-8). Let m = 7 + k. What is the greatest common factor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275745276*g**3 - 24*g + 1817165 wrt g?\nAnswer: -1654471656*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r**2 + 3*r. Let a be y(2). Suppose 0 = -a*j - j + 300. What is the remainder when j is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 7*n - 1. Let p(f) = f**2 - 6*f + 1. Let y(u) = -4*b(u) - 5*p(u). Give y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*y = -80, -t - 5*y - 36 = -8*y. Which is bigger: -31 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + (-6*1*sqrt(117) - sqrt(117)) - (-3 + 2*(sqrt(117) + 3 + sqrt(117)) + -2))**2.\nAnswer: 528*sqrt(13) + 14221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/31 (b) -1 (c) 1102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) -12 (b) -2\/93 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Suppose 0 = -2*j + 3*q, -v*q = -2*j - 5*q. Suppose -2*m = -6*m + 20. Solve -3*d + 20 - m = j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l - 19*l - 3768. Calculate the remainder when l is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l**4\/2 + 39*l**3\/2 + 2751*l**2 - 29280*l - 20736 = 0. What is l?\nAnswer: -27, -2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*v - 229*v - 286*v - 314*v - 647*v.\nAnswer: -1143*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 280, 568, 870, 1192, 1540, 1920, 2338, 2800?\n\"Answer: a**3 + a**2 + 278*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 43\/14 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h - 476. Determine s(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3, 99, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1582051 and 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2175 and 250?\nAnswer: 21750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/3 in -4\/299, -1\/2, -18\/11, 4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35195820 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19103*c**5 + 111*c + 64 wrt c?\nAnswer: -382060*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007684571 rounded to seven decimal places?\nAnswer: -0.0007685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 12*m - 25 = 0. Solve -l + m*l + 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 11. Suppose 0 = -2*v + 3 - 7, v = -5*y + 173. Suppose 5*d + 5*w - y = 0, d = 2*d - w - 5. Let c be b(d). Sort 0, c, -2 in descending order.\nAnswer: 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 12*l**2 - 23*l**2 - 2 - 7*l**2 + 4*l**2 to the form h + s*l**2 + a*l and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 6. Let v be -2 - (-1 + i - 3). Let z = -2.819 - -3.319. What is the second smallest value in 2, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*q**4*s - q**4 + 56*q - 2*s + 486913 wrt q?\nAnswer: 180*q**3*s - 4*q**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1021537689 and 249?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 45. Let t = -18154 + 18157. What is the lowest common multiple of o and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -1*(sqrt(136) + 3*sqrt(136)))\/sqrt(8).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 11, n: 2}. What is prob of sequence zn?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3911*b*x - 298*b*z + 19*b - 762*x*z - 1 wrt z.\nAnswer: -298*b - 762*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4839 = -f, 14503 = 3*j + 2*f + 2*f. List the prime factors of j.\nAnswer: 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.3 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*y = -7*f + 200, 5*y = -2*f + 84. Let w(c) = 389*c + 20. Let q be w(1). Let g = 422 - q. What is the greatest common divisor of f and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 686987140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g - 11. Let n(w) be the first derivative of 3*w**2 + 900. What is v(n(p))?\nAnswer: -36*p - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-16)\/h)\/(h\/(h**(1\/24)\/h))*(h\/h**(-5))\/h*h**(-3\/2))**(-18\/13) assuming h is positive.\nAnswer: h**(1113\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 4*w**3 - 4*w**3)*(-56*w + 6*w + 27*w).\nAnswer: 23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 28977.42g?\nAnswer: 28.97742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 0*q)*(3918 + 56*q**2 - 3918).\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -21) + -12 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 3:23 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24821, 47831, 70841, 93851, 116861, 139871?\n\"Answer: 23010*u + 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274594, -274595, -274596?\nAnswer: -274597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(-2 - 0)*3. Find the common denominator of (y\/6)\/((-1)\/(-41)) and -47\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -5 - (2 - -1). Let o(i) = -i**3 - 7*i**2 + 9*i + 6. Let d be o(-8). Let r be (d - t\/(-3)) + 4. Solve -r*s = -6*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v**4 + 3*v)*((1 - 2 - 1)*(v - 3*v + 5*v) - 3 + 5 - 532*v + 573*v + (0 - 3 + 2)*(0 - v + 0)).\nAnswer: -72*v**5 - 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 3*x + 3. Let f be m(-2). Suppose -2*w + f = 3*w, -d + 2*w = -10. Suppose 4*y + 2*z = 2*y + d, 20 = -4*z. Solve -3 = -2*t - y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 33*t - 6. Let h be u(1). Sort -70, h, -3 in descending order.\nAnswer: h, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/75)\/((-2)\/5). Let y = 0.21 - 8.21. Let q = -11 - y. Which is the closest to -1\/4? (a) 1\/4 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let b(f) = -1 + 31*f + 12 - 12. What is b(q(z))?\nAnswer: 31*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 15, 5, 270 in increasing order.\nAnswer: -5, 3, 5, 15, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -8) + 10 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:24 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8.7 (b) -0.1 (c) -2 (d) 887\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109 and 4687.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 - 0.59. Let t = m + 0.5. Let r = -0.5 + t. Sort 4\/3, r, 0.5.\nAnswer: r, 0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2830132109?\nAnswer: 7, 37, 73, 181, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5\/7 + 2*a**4\/7 + 122*a**3\/7 - 2*a**2\/7 - 1920*a\/7 - 1800\/7 = 0.\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - (-6 - -21 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) - (-5)\/((-150)\/(-32)). Factor -z*u**3 + 2*u**2 + 0 - 4\/3*u.\nAnswer: -2*u*(u - 2)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13b7a731 + 0?\nAnswer: 13b7a731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + 76\/(-12). Let b = k - -26. Calculate the highest common factor of 171 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**7\/2520 + h**4\/12 + 5*h. Let n(z) be the third derivative of c(z). Let r(j) = 2*j**2 + 4*j**2 - 2*j**2. Give n(r(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 - 5.11. What is the second smallest value in -3, 4, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -337*h**2 - 17511*h + 763. Determine w(-52).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59121, -59012, -58903, -58794, -58685, -58576?\nAnswer: -58467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/11 - -17\/33. Put 2\/5, u, 3 in descending order.\nAnswer: 3, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.4 + 16. Let b = -2 - j. Let z = b - 0.4. Which is bigger: z or 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -431881.6341 from -0.67929.\nAnswer: 431880.95481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*i + 7, 4*i + 21 = 6*w - 9*w. Solve -31*a + 16*a - 135 = i for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -956077.\nAnswer: -956077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1140)\/10488*4\/5\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2618*a = -2959*a + 2046 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63112?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0912 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1110001000010001 (base 2) to base 7\nAnswer: 330504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z + z + 26*z)*(0 - 13 + 3).\nAnswer: -130*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126.9 + 126.6. Let v = 2\/47 - -39\/188. Put h, v, -3 in increasing order.\nAnswer: -3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**4\/24 + 13*r**3\/6 + 77*r**2. Determine j(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let z(j) be the second derivative of 7*j**4\/4 + 12*j. Give f(z(t)).\nAnswer: 441*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1506 and 27223460?\nAnswer: 81670380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/70)\/(4\/14). Let a(s) = 129*s + s**w - 129*s. Let k(g) = -6*g. Determine k(a(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b + b - 2*b + 56*b**2 + 3 + 5*b. Is t(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18806077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**3 + 3*v**2 - 3*v. Suppose -4 - 2 = -3*n. What is the remainder when m(n) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.719586 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**2 - x. Let s be j(-1). Let a = -3 - s. Find m such that -2*m - m**3 - m**a + 8*m**2 - 13*m + 9 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 4 + 4)*(-14 - 12 + 8)*(4 + 1 - 3) + 6*x + 48 - 48 in the form j*x + l and give j.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 1 (b) 19 (c) -28 (d) 31\/42 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15810612941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 80\/3*d**3 - 2\/3*d**5 + 0 + 0*d**2 - 12*d**4.\nAnswer: -2*d**3*(d - 2)*(d + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) 1 (c) 0.04 (d) -0.1 (e) 87\/376\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiiieepi. What is prob of sequence eiiw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17847*k + 2*a = 17851*k - 6, -4*k - 4*a = -24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 568 - 566. Let t(f) = -6*f**2 + 3. Let w(h) = -25*h**2 + h + 13. Calculate o*w(i) - 9*t(i).\nAnswer: 4*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -726.8799 + 726.4. Let o = w - -0.0609. Round o to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/6366063?\nAnswer: 7\/6366063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5366, 5365, 5364, 5363, 5362, 5361?\n\"Answer: -i + 5367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 2:38 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(17) + sqrt(17) + (1 + sqrt(17) - sqrt(17)) + 4 - (sqrt(17) + sqrt(68)*-1) - sqrt(204)\/sqrt(192)*-4))**2 + 1.\nAnswer: 640*sqrt(17) + 4753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62599, -62599, -62589, -62563, -62515, -62439, -62329?\n\"Answer: o**3 - o**2 - 4*o - 62595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 837480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 83. Let f be s\/10 + 3 + -7. Factor 4\/5 - f*j**2 - 2\/5*j + 6\/5*j**3.\nAnswer: 2*(j - 1)**2*(3*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tifdtffdtfffi. What is prob of picking 1 f, 1 i, and 1 d?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 49*q**3 - 43*q. Suppose -5*x - 7*x = 24. Let c(o) = -146*o**3 + 130*o. Let p(f) = x*c(f) - 7*h(f). Find the second derivative of p(r) wrt r.\nAnswer: -306*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11\/v)**42\/(v\/(v*v**(4\/9)))**(-4) assuming v is positive.\nAnswer: v**(3764\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4043\nAnswer: -1\/4043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353586910?\nAnswer: 2, 5, 17, 2079923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 7*v + 317. Let m = v - -88. Calculate the remainder when 65 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191 - -202.3. Let v = 11 - b. Let h = -0.07 - -0.07. What is the closest to 1\/2 in 3, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 30. Let m be 1*4\/(-8)*d. Sort 2\/13, m, -3\/5 in ascending order.\nAnswer: -3\/5, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -948 - -965. Solve 3*p - 4*n = -19, -p - 4*p = -3*n + z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1252*d**3*v**2*x + 2*d**3*x - 4*d**2*v**2 + d*v**2*x - 6*d*v**2 - x wrt d?\nAnswer: -7512*v**2*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/((-45)\/216).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -42, 1, 16742 in ascending order.\nAnswer: -42, -2, 1, 8, 16742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/(-80) - (-2)\/8. Let n be (-8)\/10*(-85)\/(-102). Which is the smallest value? (a) n (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 5*t**2 + 26. Let z(w) = -w**3 - 4*w**2 + 26. Calculate -4*c(y) + 5*z(y).\nAnswer: -y**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 937*j**4 - 2*j**3 - 2*j**2 + 4019 wrt j?\nAnswer: 3748*j**3 - 6*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*q + 4*u - 8*u, -3*q + 11 = u. Suppose b + 14 = 4*d, -5*b - q*d = -9*b - 23. Is 43 a factor of (606\/b)\/(-5 + 4) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let w(k) = 4*k - 4*k**2 - 8*k + 3*k**2 - 3. Suppose 114*t - 12 = 118*t. Let u be w(t). Calculate y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 12013585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**3 - 10. Let d(p) = -8*p**3 - p - 11. Let q(a) = -3*d(a) + 4*n(a). Let i(o) = o**3 - o + 1. Calculate -5*i(g) - q(g).\nAnswer: -g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 200862, 401730, 602598, 803466, 1004334?\n\"Answer: 200868*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 495470 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 28*o - 142. Let k be a(-7). What is the second derivative of -6*d**2 + k + 2*d + 1 + 0*d**2 + 17*d**2 wrt d?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (0 + 1 - -134). Let n = j - 38. Suppose -7*l + l + n = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -4 (c) 0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k. Let v be 12\/(-36) - (4 + 30\/(-9)). Let d(h) = -h + 2. Determine v*d(s) - i(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 5*q + 2*c + 62, 35*q + 13*c - 6*c - 2*c + 55 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10222022002 - 232?\nAnswer: 10222021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 270.6674g?\nAnswer: 270667400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1\/2 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203 (base 6) to base 9.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28415 + 2216413\/78. What is the common denominator of 25\/2054 and l?\nAnswer: 6162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -32. Suppose -4*c = -3*c - g. Solve -4*h + 2*y + 1 = -c, 5*h + 5*y = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4202, -4205, -4210, -4217, -4226?\n\"Answer: -b**2 - 4201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + (-801)\/39)*(1 + 0)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 9*t**2 + 11*t + 101. Let q be z(-9). Solve -i + q = 0, -5*x - 10 = 2*i + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.17 - 0.17. Let m = a - 9. Let f = m - -5.0000001. What is f rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9154 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -702744 - -702816.87032. Let g = 1.15868 + w. Let z = 74 - g. What is z rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyqcyyayycyauyyycc. Give prob of picking 1 y, 1 u, and 1 c.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -25. Suppose 3*p - 1 = 5*x, 3*x - 22 = -5*p - 9. Put -4, 1, o, p in descending order.\nAnswer: p, 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 69, 7, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952720083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 2*(sqrt(7) + 2) + sqrt(252) + 0.\nAnswer: 4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + (-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 42031 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-10)*1)\/(-1). Let p be (6\/28)\/(36\/42). Which is greater: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-6) + 2\/3. Let q be -6 - 1 - (y - -1). Let v = q - -25. What is the least common multiple of v and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-22)\/(c**(-24)\/c)*c*c**(2\/3)*c\/(c\/(c\/(c\/(c*c**(8\/3))))) assuming c is positive.\nAnswer: c**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*sqrt(102)*3 - -1*sqrt(102)*3)\/((sqrt(54) + sqrt(270)\/(sqrt(10)\/sqrt(2)))*1).\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - 1. Let i be 0\/(-2) - (-9 - -13). Let z(t) = -t**3 - 4*t**2 + 2. Let n be z(i). Suppose 2*s = -n - 10. Calculate p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2860531385 to 3 decimal places.\nAnswer: -0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 243, 240?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30166668*m**2*s + 5*m**2 + 659774*m*s + 7 wrt m?\nAnswer: 60333336*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 359 - 38*z**4 - z - 280 + 181*z**4 wrt z?\nAnswer: 1716*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5 + 2*s**3 + 7 - 2*s to the form l*s + x + f*s**3 + k*s**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212 + -1102121011221?\nAnswer: -1102121000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-5))\/((-2)\/5). Suppose -2*z = g*b - 113, 3*b - 89 = z + 3*z. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79879 is divided by 13302?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 f when four letters picked without replacement from uffuuuufuuff?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Let b(h) = 2*h**2 + 7*h. Suppose -4395*x = -4347*x - 240. Give x*f(i) - b(i).\nAnswer: 3*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 13793?\nAnswer: 13793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 167410080?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.634 and 5.\nAnswer: 108.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 3. Let q(c) = 4284*c - 45. Determine 15*n(a) + q(a).\nAnswer: 4314*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/225)\/((-8)\/80)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*k**4 + 508*k**2 - 28*k**5 - 508*k**2 + 8*k**3.\nAnswer: -4*k**3*(k + 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374 + 374.2. Put i, -1\/3, 0.11, 3\/7 in descending order.\nAnswer: 3\/7, i, 0.11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(4 + sqrt(243) + -1 + 0 + -1*(sqrt(243) - (sqrt(243) + 0))**2 + (6*3*sqrt(243)*5)**2).\nAnswer: -49207575 - 225*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290766473?\nAnswer: 43, 6762011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2)*(2 + (-36)\/8). Let s be -6 + 3 - -2 - (-420)\/a. What is the units digit of (-8440)\/(-68) - (-10)\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 10 = 32*d. Let r = -10 - -19. Suppose r + 13 = d*u. What is the greatest common factor of 44 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1913005?\nAnswer: 5, 382601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(45))\/sqrt(9) + -2 + sqrt(5)*-1 - (-2 + (sqrt(5) + 0 - sqrt(5)) + sqrt(5) - sqrt(60)\/sqrt(192)))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -340629.3 * 5.\nAnswer: -1703146.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*j + 162 = 0, 2*j + 44 = w + 8. What is the highest common factor of 476 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -193 and 14.\nAnswer: -2702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 31 = -k, 36 = -2*k + 4*g + 92. Suppose 68 = 2*c + 2*d, 0 = 2*c + 4*d - 26 - 32. What is the greatest common factor of c and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*w - 13, w + 0 = -h + 1. Let z be 528\/20 + h\/(-5). Suppose 5*k + 10 = 0, 0 = 2*x - 4*x - 5*k - 4. Solve -a + 5*a + z = 3*l, x*a = l - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -542 + b?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g - 2*g**2 + 7*g. Suppose -4*c + c + 6 = 0. Let k(p) = -p - 2*p - c*p. Give k(v(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -207030?\nAnswer: 2070.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590769236?\nAnswer: 2, 491, 300799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 391*q + 69590. Calculate t(-178).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87? (a) 26 (b) -2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1532862 and -51\/22.\nAnswer: 16861482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9432, -9398, -9328, -9204, -9008, -8722, -8328?\nAnswer: -7808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -341*w**2. Let s(q) be the first derivative of 13*q**3\/3 + 1159. Calculate s(u(b)).\nAnswer: 1511653*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 59298*l + 830760.\nAnswer: -3*(l - 19780)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4788 and 73\/5014632.\nAnswer: 15043896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 0 (c) -9942\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-64)\/(-38)) - -2. Let b = 17\/24 + k. Factor b*j - 2\/3 + 1\/3*j**2.\nAnswer: (j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-45)\/(-10))\/((-3)\/(-114)). Suppose 6*x - m = 69. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -305 - -336. What is the highest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*f + 6*f - 32, 0 = 3*k - 3*f. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333.9 + -171.6. Let a = -162 + j. Suppose -8 = -0*c + 2*c + 2*s, -5*c - 4*s = 23. Sort 2, a, c.\nAnswer: c, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.227 - 0.37. What is l rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2 - 5 + 23 - 8*j. Let p be m(7). Suppose 0*z + p = z + 3*x, 0 = -3*z - 3*x + 15. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 3*p + 114. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*3 + (sqrt(88) - 4*2*sqrt(88)))\/(-1*(sqrt(40)\/sqrt(45) - -1*sqrt(1152))).\nAnswer: 30*sqrt(11)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 3736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 89 = -5*k. Let s = k + 43. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 + 265.9897. Round i to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:32 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 - 161. Let f = -0.28 + 13.28. Let p = l + f. Which is the closest to 2? (a) 4\/7 (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 - 26*x**2 - 19*x**3 - x - 4*x. Let z(t) = -9*t**3 - 11*t**2 - 2*t. Let w(n) = -2*b(n) + 5*z(n). What is the third derivative of w(u) wrt u?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -4. Let b(p) = p**3 - 12*p**2 - 13*p + 27. Let r be b(13). Is r less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 10 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/18 - (1 - 2). Let x = -2.6 + -0.4. Let p = 3.3 + x. Which is the nearest to j? (a) 0.1 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 + 167. Suppose x = 4*c + 4. Let q = -15 + c. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011021201 + 2?\nAnswer: 10011021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 742079772 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -17*h**3\/3 + h**2\/2 - 173. Let t(y) = -5*y. Calculate t(m(r)).\nAnswer: 85*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 198 or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 4*k + 2. What is v(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:34 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 1. Let j(m) = -m**3 - 11*m**2 + 14*m + 6. Let n(f) = -4*g(f) - j(f). List the prime factors of n(-8).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 13) to base 2\nAnswer: -11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 14. Suppose -3*d = -5 - c. Sort -1, 1, d in descending order.\nAnswer: d, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2 + 8. Suppose 2*q + 7 + 19 = -f, 0 = -m*q - 4*f - 29. Let x = q - -27. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -46. Put 0.02, 1, w, -1\/6 in descending order.\nAnswer: 1, 0.02, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 43*b - 493. Give j(-16).\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 50387730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -28017\nAnswer: 28\/9339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412 + 340 = -6*n, -4*n + 48 = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 264\/(-28) - -4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v - 3*v**2 + 4*v - 5 - 2*v**2 - v**3. Let s be x(-5). Let p = 4 - -2. Solve p*y = y + s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163674799 a multiple of 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*f + 20, -a + 0*f = -6*f - 45. Solve -127*w + 130*w - a = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4743*v**2 - 9*v - 4. Let t be r(6). Let g = t + 1022551\/6. Let k = -380 - g. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2856589147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*z - 6, 2*z = -0*v + v + 2. Let d be (4*-1)\/((-6)\/(-9)). Let f = -0.0307 - -0.2307. What is the smallest value in f, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*v - 15509 + 15509 to the form j + l*v and give l.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192280 and 31625?\nAnswer: 4807000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 2. Let z = -2 + 0. Let c be t(z). Suppose -3*s - 33 = 2*y - 5*y, 0 = 2*y + 2*s - c. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 24*t**2 - 15*t + 9. What is w(-6)?\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 0*c**3 - 2*c**3 + (-4*c**2 + 2*c**2 + 0*c**2)*(-3*c + 2*c + 5*c)*(-2 + 3 - 5).\nAnswer: 29*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + -0.3. Let s = q + 1. Let u = -199\/1953 + -2\/217. What is the closest to -0.1 in 2, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92578009, -92578007, -92578005, -92578003, -92578001?\nAnswer: -92577999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/28)\/5*6. Is -1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 338, -538, -1412, -2278, -3130?\n\"Answer: t**3 - 5*t**2 - 868*t + 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmtamxxtma. Give prob of picking 1 t and 1 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 94.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6*l - 35 = 0. Let m(x) be the second derivative of 0 + l*x - 3\/4*x**4 + 0*x**3 - 4*x**2. Differentiate m(c) with respect to c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298836 + 298737 = 33*r. Let p = 362037\/1360 + -1331\/5. Let x = p - -3253\/2992. What is the nearest to 1 in x, r, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Suppose -5*a + 2*i = -43, -4 = -2*a - i + 15. Let k(c) be the first derivative of -10*c**2 - 2 + a*c**2 + 1. What is k(s(j))?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.9 in 3, 41, 1\/2, -89, 5\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13224, -13222, -13220, -13218, -13216, -13214?\n\"Answer: 2*d - 13226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 6*d**2 + 5*d + 13. Let u be r(-6). Let w = u + 17. Suppose -4*i - 3*n + 167 = 0, 2*n - 5 - 5 = w. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66901*y**4 - 31351*y**2.\nAnswer: -1605624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29910033*i*t - 5*i - t - 1823539 with respect to t.\nAnswer: 29910033*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-28)\/(-8))*-126. Suppose 2*g - 101 - b = 0. Suppose 6*l + 3*c = 4*l + g, -3*c = 9. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37131895 to the nearest integer?\nAnswer: 6094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 32*n**2 + 2*n - 2. Let v be a(16). Let g be (v\/(-7))\/((-30)\/(-21) + -2). Factor 25\/4 - g*l + 5\/4*l**2.\nAnswer: 5*(l - 5)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139906 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c + 4*u, -4*u - 9 - 11 = 0. Suppose f = -f + c*f. Suppose -3*t + t + 23 = 3*v, -4*t + 16 = f. Sort -1, 0.5, -0.1, v in decreasing order.\nAnswer: v, 0.5, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 6. Let h be ((-44)\/(-1))\/(-4*(-1)\/t). Factor 31*s + h*s**2 + 18 + 48*s + 15*s**3 - 10*s.\nAnswer: 3*(s + 1)*(s + 3)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*i**3*m**3 + 2191*i**3*m**2 + 4*i*m**3 wrt m?\nAnswer: 306*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14603*k**5 - 5399*k**2 wrt k?\nAnswer: -876180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34.96569ug?\nAnswer: 34965.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -0.057?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/35 + -37\/35. Let z = -70 - -121. Let y = z - 38. What is the smallest value in 3, f, -0.4, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26994 - 53987\/2. Let 3 - b*r**2 + 1\/2*r = 0. Calculate r.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/(-44)*-11*12?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-243)\/81*(-1)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7*(-20)\/40?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5\/3 - 484*x**4 + 10364*x**3\/3 + 484*x**2 - 10360*x\/3 = 0. What is x?\nAnswer: -370, -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-235)\/(-141) + (3 - 16418\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059593890.\nAnswer: 2, 5, 331, 320119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 4, z: 6}. Give prob of picking 4 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -18*z**3 + 4*z**2 - 2*z - 4. Calculate s(2).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 10 = 6*h. Suppose 0 = z - h*z + 316. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Which is greater: s or 0.098?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 164 = -3*d + 260, 0 = 4*d - 4*s - 560. Suppose h = -2*g + 68, 4*g + 0*g = -3*h + d. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9\/8)\/(s**18\/s) assuming s is positive.\nAnswer: s**(-145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -115. Let f be 8\/(-6)*(-2 + g). Solve -5*u + f = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 3*c**5 - 2*c**5 + (c**2 + 0*c**2 + c**2)*(7 + 3*c**3 - 7).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/27, 41, 5, -2\/23, -982\/9?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5. Let x(t) = t**3 - t**2 + t - 1. Let u be x(l). Solve -3*v + 13 + 2 = u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/67? (a) 2\/19 (b) -2.6 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.747 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 - 1)) + 1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 23. Let o be 4\/8 + 27\/(-6). What is the remainder when x is divided by 6\/(o*2\/(-16))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqhqhhqhqhhqq. Give prob of sequence hqhh.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3954*h**6 + 83*h**2 + 12*h wrt h.\nAnswer: -474480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25078297366 minus 0.3?\nAnswer: -25078297366.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - a = a + 800, -z = 4*a - 218. What are the prime factors of z?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/252*-3*4)\/((-1)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221201 - 21121111?\nAnswer: -102120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 481*p\/3 - 160.\nAnswer: -(p - 480)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 639 = -9*h. Is h >= 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 1. Suppose -3*p + 15 + 0 = 0, -4*c = p - 17. Let f be s(c). Suppose -377 = -5*k + 3*q + 864, 0 = k - f*q - 244. Round k to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00275891 rounded to 5 dps?\nAnswer: -0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 561400 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*s = 84*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34209.78 millimeters?\nAnswer: 34209780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*h**3*i**3*q - 1453*h**3*i*q - 2*h**2 + 4*h*i**3*q + 2957*h*i*q - 60*h*q - 2*i**3*q wrt h.\nAnswer: 318*h*i**3*q - 8718*h*i*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*k**2 - 65*k - 107*k**2 + 69*k + 58*k**2 in the form i*k**2 + o + j*k and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6191*q**3 - 2096*q?\nAnswer: -37146*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2\/7 + 678066372*d\/7 + 57471750604655298\/7 = 0.\nAnswer: -169516593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -5. Let l = 1 + r. Suppose 24 + l = 5*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y - 7*y. Suppose -999*t + 1009*t - 30 = y. Solve -2*h = 2*r, t*h + 40 = 3*r + 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:24 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 150003?\nAnswer: -150002.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*12\/144*-8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1608 + 2651. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131041197.\nAnswer: 3, 7, 89, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6736189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 7*t + 1. Let a be 2*2*21\/(-12). Let w be y(a). List the prime factors of (0 + w)\/(8\/96).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 30, 59, 100, 153, 218?\n\"Answer: 6*s**2 - s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 18571822*t**2. Let w(h) = -33*h**2. Give w(a(m)).\nAnswer: -11382114889189572*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = -5*a + 6*r - 25, -5*a - 33 = -0*a - 7*r - 13 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 798?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from {e: 4, y: 1, q: 3, k: 4, r: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 32289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00176606 to 5 dps.\nAnswer: 0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o*v**2*x + 105*o*v**2 - o*v*x + 1718*o + x wrt v.\nAnswer: 6*o*v*x + 210*o*v - o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5905 = a, 0 = 3*x + 3*a - a - 5903. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = -2*g, -2*g + 6 = 3*j - 2. Solve c - 3*y + 2 = -0*c, j*y = 3*c + 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52480 and 1230.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywwwwwwyww. Give prob of picking 2 w.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -6\/79, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5668037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 328*u. Let d(x) = 100*x. Determine s(d(k)).\nAnswer: -10000*k**2 + 32800*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3)*12\/(-21)*279\/651.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 936459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/56 and -19\/8120.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 38. Solve -b - q = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d167 - -5?\nAnswer: -d162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 10*w + 5. Let d(b) = -b**2 - 3*b + 2. Let p be d(-3). Suppose p*q - g - 3 = -5, 4*g - 8 = -2*q. Suppose -6*x + 43 + 11 = q. What is h(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 7:11 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2 + sqrt(44)\/sqrt(4) + 2*sqrt(891))*3*2 - (-2 + (sqrt(891)*2 - sqrt(891) - sqrt(891) - (sqrt(11)*2 + -5)))))**2.\nAnswer: 52200*sqrt(11) + 3702425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzhh when four letters picked without replacement from {z: 1, h: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = -7 - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 2*m - 1827. Suppose -4*q + 819 = m. Suppose 4*p = -10 + q. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 27 = 117. Let r = 40 - o. Let l(a) = a**3 + 6*a**2 + 6*a + 3. Give l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -117.5. Let d = 1\/2 + -7\/6. What is the closest to d in 4, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/10 and -33\/98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r. Let b(i) = -i**2 - 13*i + 16. Let s be b(-14). Let j(l) = 307*l + 4*l**s - 307*l. Give j(y(c)).\nAnswer: 676*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -606, -1082, -1544, -1986, -2402?\n\"Answer: c**3 + c**2 - 486*c - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -m + 54, m - 2*i = -0*i + 52. Suppose 0*u = 4*u - m. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 28 = -2*y, -q + 0*y + 31 = 5*y. Solve 6*j = q + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = 3*w - 5*w, -3*d - 21 = -3*w. Solve 2*q + w = -5*f, -4*q = -4*f - 1 - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*c + 19, -4339*h + 2*c = -4334*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 912, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 35637132115742?\nAnswer: -35637132115742.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 11*r + 23. Let w be s(-12). Let o(a) = 5*a - 12. Is o(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 31265331 - 69220574 = 189516595. Round r to the nearest 100000.\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 306 - 22?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 2*d**2 - 10*d + 73. Calculate n(6).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Let d = 22 - 18. What is the nearest to -2\/3 in 6\/11, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -205.16 + 205. Let u = -0.36 - l. Which is the second biggest value? (a) u (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490734?\nAnswer: 2, 7, 233, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 112*r**3 + 19*r**3 - r**2.\nAnswer: -93*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3462*b**2 + 3656*b**2 - 5*b**5 - 700*b**3 - 130*b**4 - 5158*b**2.\nAnswer: -5*b**2*(b - 2)*(b + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60739529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 14*f - 25 + 23.\nAnswer: 14*f + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1089 = -137. List the prime factors of j.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11069225 is divided by 688?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/2 in 1\/5, 0.1, -9, 3, 17?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = -0*k - 2*k - 32*k - 302 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.598 times 2?\nAnswer: -233.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/169 + -2123\/3211. Let h = 117\/95 + b. Let j = 4 + -9. What is the third biggest value in j, -0.5, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 4, k: 1, v: 6, f: 1, h: 3}. What is prob of sequence vvfd?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 218989347 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-23*a + 12*a - 21*a)*(0*a**2 - a**2 - 7*a**2).\nAnswer: -512*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g - g**2)*((-2*g - 4*g + 4*g)*(1 + 0 + 0) + 30*g - 21*g + 34*g - 4*g + 5*g - 3*g) to the form m + w*g**3 + x*g**2 + p*g and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -256501142\nAnswer: 3\/256501142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10331024 (base 6) to base 13.\nAnswer: a9bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2113336128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-150)\/54 - 3. Which is the nearest to -1? (a) 0.1 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 1\/2, 0.3, -1\/4829 in decreasing order.\nAnswer: 1\/2, 0.3, -1\/4829, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1330*o**2 + 2603*o**2 - 1315*o**2 + 5 as s*o**2 + t*o + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -6 - (-18 + 27 + -7) - 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9621*g**3 + 61*g**2 - 34*g**2 - 27*g**2.\nAnswer: 9621*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12164\/6 - (-155)\/93 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-9 + 0 + 1 + 55).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0\/(-3) - -1. Let s(f) = -4*f - 2*f**3 + 7*f - 7*f - 5*f**2. Let o be s(-2). Calculate the greatest common divisor of u and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2 - 1, 0 = 3*i + 5*c + 33. Let d be (i - 1)\/(1\/(-11)). Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*l**2*q**2 + l**2*q - 7*l**2 - 102*l*q**2 + 14 wrt q.\nAnswer: -46*l**2 - 204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261 and 141.\nAnswer: 12267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -6075*d**3 - 1890*d**2 + 60*d + 40 = 0.\nAnswer: -2\/9, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Suppose -3*g - j + 14 = 0, 4*g + 3 = 2*j + j. Let q(c) = 20 + g*c**2 - 20 + 4*c**2. What is q(z(f))?\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/15*-6)\/((-4)\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:39 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 1440?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:32 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 380073328 to the nearest one million.\nAnswer: 380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58, 114, 218, 382, 618, 938, 1354, 1878?\n\"Answer: 2*z**3 + 12*z**2 + 6*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from kktktqjk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/7)\/h**19 assuming h is positive.\nAnswer: h**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5082 is divided by 1692.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -8 (c) 1\/4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {a: 1, n: 1, d: 2, p: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37977\/952 - -319\/8. Let s = 458\/1071 - b. Let d = 1.1 - 0.1. What is the third biggest value in d, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -71?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k**4 + 32*k**3 + 5*k**2 - 12306 with respect to k.\nAnswer: 20*k**3 + 96*k**2 + 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/28*((-155)\/(-372))\/((-5)\/14).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13706377477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1664 and -2?\nAnswer: -3328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2123 - 11?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -2767 (c) -2\/5 (d) -2 (e) 214 (f) 0.5 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -152?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - n + 9. Let w be s(-4). Let z be 2 + 5\/3*(9 - w). Calculate the greatest common factor of z and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007 times 3.2?\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c**5 + 0*c - c**2 + 1\/24*c**4 + 0 - 1\/30*c**6 + 1\/6*c**3. Is x(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.031*-0.2.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33\/((-3465)\/(-750)))\/(2\/14). Solve -f*q = -49*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + f - 174 = 0, -3*f - 216 - 494 = -4*z. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13662 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 388\/3, 2, -0.007, -5 in decreasing order.\nAnswer: 388\/3, 2, 2\/9, -0.007, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2\/37, -155, -4, 368, -2 in descending order.\nAnswer: 368, 6, -2\/37, -2, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 - -2696. What are the prime factors of x?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11616 + 11616 + 324*f)*(7*f - 3*f - 3*f) as h*f + x + c*f**2 and give c.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 12. Let c be k\/14 - (-253)\/847. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(3 - 2 - 5)*(-10*f**2 + 28 - 55 + 30).\nAnswer: 40*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/(9*4\/(-32)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 3, h: 1}. What is prob of picking 1 h, 1 i, and 1 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)\/c)**(-20\/7)\/(c\/c**(1\/2))**(-3)*((c*c*c**5)\/(c\/(c**(3\/2)*c)))**(-16) assuming c is positive.\nAnswer: c**(-1923\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74534803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11142? (a) -3 (b) 112 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4045*a**3 - 4046*a**3 + 8092*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 855.5914ml?\nAnswer: 0.8555914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n - 24 + 1 + 13. Let x be z(-2). Factor 0 - 215*f - 4 - x*f**2 + 223*f.\nAnswer: -4*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -1251?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:26 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4320 - -3554?\nAnswer: 7874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 5*x + 6*x - 3*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/17 or 88.105?\nAnswer: 88.105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.047136 and 2?\nAnswer: -0.094272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 28, 0, -443\/3 in decreasing order.\nAnswer: 28, 5, 0, -7, -443\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/7, -0.2, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g**(-1\/4)*g)\/g))**(-25\/4))**19 assuming g is positive.\nAnswer: g**(-475\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 - 7*b - 7 + 0 wrt b?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 2, m: 4, q: 9}. Give prob of picking 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*y**2 + 1057*y**2 + 1941*y**2 + 85*y**2 + 1748*y**2 in the form g*y + r + b*y**2 and give b.\nAnswer: 5038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - b. Let m(s) = 10161*s**3 + 5*s**2 + 7*s - 4. Let i(u) = -6*k(u) - m(u). Let d be i(4). Round d to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -5624977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*d**3 + 2 - 207765*d**2 + 207765*d**2.\nAnswer: 49*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 24. Suppose 0 = -2*l - 4*y - 4 - j, -3*l + 12 = -3*y. Suppose -3*v = -l*p + 84, 5*p - 208 = -v + 2. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5713406 (base 8) to base 12\nAnswer: -626806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -907 + 496. Let v = -372 - l. Calculate the remainder when v is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*t + 31. Let x = 332 + -318. Solve -x - t = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42540 * -0.5\nAnswer: 21270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 3*v + 1. Let h(z) = 484 + 2*z - 1006 + 521 + 2*z**2. Determine -2*f(y) - 3*h(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let v(w) = 67*w**3 + w. Let t be v(c). Suppose -3*f + 22 = -t. Calculate the highest common divisor of 75 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -37*v - 780. What is x(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 237327 (base 9) to base 15\nAnswer: 2c637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323361 is divided by 6467.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 276*f - 1729. Let s be w(22). What is the greatest common divisor of 473 and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34236 is divided by 1032?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**3 + 230*z**2 + 3375*z + 15390 = 0.\nAnswer: -19, -18, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 6*v - 27. Let n be j(11). Let i = n - -163\/2. Let f = 739\/854 - 1\/122. What is the smallest value in -1, f, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*c**2 - 536*c**2 + 1335*c**2 - 8*c**3 - 259*c**2.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*y = -15, -3*w = y + 16 - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 22. Let k be y(-8). Find i, given that -2\/3*i + 4\/3 - 2\/3*i**k = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/28 + 82\/8. Let z(d) be the first derivative of -d**3\/3 + d - 4. Let y(c) = -6*c**2 + 10. What is x*z(i) - y(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -4 (b) 19 (c) 0.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*f - 13, -7*f = -4*v - 2*f. Let y(d) = -d**3 - 7*d**2 + 6*d + 4. Let n be y(-8). Suppose v*b - n = b. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n + 0*n - n)*(-2 - 3 + 4) - 3*n + 5*n + 0*n - n - 2*n - n)*(-22 + 6*n**2 + 22 + (-n + 0*n + 0*n)*(n + 0 + 0) + n - n - n**2).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.58527 * -4\nAnswer: 18.34108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388800 by -6.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95344 and 4?\nAnswer: 95344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 - -0.29. Which is the third smallest value? (a) 0.3 (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1674+-10\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 + 3 + 340*v - v**4 - 336*v + 2*v**2 + 5*v**2 to the form t + z*v**3 + h*v + o*v**2 + j*v**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 - 21)\/(-2))\/((-1)\/(-16)). What is the greatest common divisor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/7, -2, 2, -1\/2, -85?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37581, 75162, 112743, 150324?\n\"Answer: 37581*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15145025 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(25)*4)\/(sqrt(20)\/(sqrt(500)\/sqrt(5))))**2.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**7\/42 + 19*g**4\/24 - 14*g**3\/3 - 5. Let f(t) be the third derivative of o(t). What is the first derivative of f(r) wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61976060, -123952121, -185928182, -247904243, -309880304?\nAnswer: -371856365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 654813 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -16.26.\nAnswer: -15.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4) + sqrt(11) + 0 + 3 - sqrt(66)\/(sqrt(66)\/sqrt(275)).\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -17*k - 3. Let l(u) = -18*u - 3. Let t be (2 - 0) + 3 + 0. Let n(h) = t*l(h) - 4*f(h). What are the prime factors of n(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 p, and 1 z when four letters picked without replacement from irfrrirriiripiz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 5*l - 6. Let f be h(5). Suppose 20 = 5*b, 3*b = 2*y + f + 11. Let k = 12 + y. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - (2 + -2 + 2))*1. Let d(f) = 57*f - 1. Let w be d(m). Let s = w - 136. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 9*v**2 + 21*v + 12. Let b be f(-11). Let i = 25 - b. Suppose 2*q = 2*d + q - 14, i*d - 4*q - 26 = 0. Solve 25 = -0*s - d*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**3 - 3*b**2 + 3*b - 8. Let k be t(2). Calculate the greatest common factor of 136 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:21 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1885.709 kilograms to nanograms.\nAnswer: 1885709000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-199 - -185) + (-12 - (-2 - -4)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/(-14)*4\/9. Solve 0 = 5*o - 2*o - 5*k - f, -6 = -3*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 1180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21 - -1)*(-2 + 1\/4). What is the greatest common divisor of 105 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -45*n + 46*n - 6*l + 5*l - 4*l, 4*n - 6*l + 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = -35*v - 3*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -151269 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -17. Find the common denominator of 95\/16 and -4 + 10\/16 + x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91\/2 + -46. Let k = 31\/135 + -1\/135. Which is the second smallest value? (a) -5 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 444.\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1058 = 52*d - 6*d. Solve -2*w - 15 = 5*z, 2 + d = -5*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -188 in -3\/5, 100, 46, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 3, 1, -6, 220 in decreasing order.\nAnswer: 220, 3, 2, 1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(68) - 2*sqrt(68)) + -5)**2*-6.\nAnswer: 3000*sqrt(17) + 51750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46004?\nAnswer: 2, 7, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*l**2 - 575*l**2 + 21*l**3 + 828*l**2.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t**4\/7 + 144830*t**3 + 37179012*t**2\/7 + 50411592*t + 219030480\/7 = 0 for t.\nAnswer: -18, -2\/3, 169005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/10)\/((-8)\/(-20)). Suppose h*n - 16 = 6*n. Suppose -9*a + 4*a = 5. Sort n, 2, a in decreasing order.\nAnswer: 2, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711472697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*u + 1 - 425*u - 425*u - 422*u - 417*u + 2106*u.\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + v**2 + 2*v + 2. Let c = 0 + 2. Let s be k(c). Solve 0 = 3*x + s*x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -12?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - -0.96. Suppose -4*l - 5*g = 8, 4*g - g + 15 = l. Let i = -0.2 - -0.6. Which is the second biggest value? (a) l (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2238\/24)\/(13\/156) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-135)\/18*4\/(-5). Let d(m) = -m**3 - 3*m**3 + 12*m**3 - 5*m + 4 - t*m**3 - m**2. Is d(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a factor of 1508507616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -6, 6*g = 4*g - 5*h - 19 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwrwwwerrwwre. Give prob of sequence ewwr.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -48*c**4 - 111*c**3 - 15*c**2 + 111*c + 129. Let x(t) = -3*t**4 - 7*t**3 - t**2 + 7*t + 8. Let z(h) = -33*x(h) + 2*y(h). Suppose z(i) = 0. What is i?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 38 (b) 1550 (c) 3 (d) 0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4921?\nAnswer: 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 544630 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 19*g + 19. Calculate l(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*g + 202*g - 105*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in -5, 0.3, -3, 0, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -16 (c) 2\/11 (d) -2 (e) -1 (f) -2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(4\/((-6)\/(-3))). Suppose h = 8*c - 5*c - 12. Sort -4, c, 5 in descending order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8701 + -5824. Let a = l - 2876.39984. Let z = 0.6 - a. What is z rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -1)*2 + (sqrt(833) + sqrt(833)*1)*1 + -3 + sqrt(34)\/(4*sqrt(18) + sqrt(18)))**2.\nAnswer: -842*sqrt(17)\/3 + 3018722\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(275)*2 + 3*(sqrt(275) - (3 + sqrt(275))) - -6*((3 + (sqrt(275) - sqrt(275)*-1) - sqrt(275)) + -1 + sqrt(275) + sqrt(275) + 1))**2.\nAnswer: 2400*sqrt(11) + 110144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*l**2 - 2 - 3571*l**2 + 0 + 1196*l**2 + 1191*l**2 - 53*l + 3.\nAnswer: -l**2 - 53*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 495568 - -110?\nAnswer: 495678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4941 - 4908) + (-3 - (-2 - -4))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, b: 1, q: 3, h: 1, e: 9, a: 2}. Give prob of sequence he.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -1\/3*y**3 + 0*y**4 + 1\/10*y**5 + 0*y**2 + 8*y + 0. Find the second derivative of j(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 610*b**2 + 11 - 44 + 14 + 4*b + 21 wrt b?\nAnswer: 1220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (249\/1494)\/((-33)\/12).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 100493 and -0.04439?\nAnswer: 100493.04439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -4764?\nAnswer: 4770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.987663 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 46, 3, 56\/9, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9*1\/30)\/(0 - (-2)\/20). Sort -2, 1, g, -139 in decreasing order.\nAnswer: g, 1, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 580 divide 35627080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**2\/2 + 19*c - 2. Calculate the remainder when 25 is divided by v(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518148 divided by -333.\nAnswer: -1556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 1\/2 (c) -15 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84576?\nAnswer: 2, 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = -3. Solve -5*y - 4*r = -24, -6 = b*y + 4*r - 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 13*v**2 + 0 + 0*v - 1\/3*v**4 + 1\/120*v**6 - 5\/2*v**3 - 11\/60*v**5. Is j(12) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -25. Let k be (-9)\/b + (-2 - -2). Suppose -2*o - d = -9, 0*o + 3*o - 24 = -5*d. Sort 2\/5, o, k in decreasing order.\nAnswer: o, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:53 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26392 and 130261015?\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (331\/(-12) + (-13)\/(-52))\/(25*66\/2475)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2031130 (base 8) to base 14.\nAnswer: -dda9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = c - 1. Suppose 15*y + 29*y - 323 = 469. What is the greatest common divisor of c and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let y = -4 - -3.5. Let t = y + 0.7. What is the second biggest value in 5, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2693*r**2 + 201*r**3 + 2693*r**2.\nAnswer: 201*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 6907843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.218105l?\nAnswer: 8218.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -424, -2\/7, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 2\/9, 1.9, 2.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1241 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6534*k**2. Let s(m) = m**2. Calculate s(d(w)).\nAnswer: 42693156*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/108237 (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 20 = 4*b. Suppose -o = -4*u - 26, 2*u + b = 4*o - 14. What is the greatest common divisor of o and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.255 + -0.955. Which is the smallest value? (a) -23 (b) -5 (c) 2\/15 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.1809265 and 7.\nAnswer: 5.8190735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 594 = 29*u, 3*u + 2391*t - 27 = 2409*t for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 92 + 37 = -19*x + 16*x, 2*l - 15*x - 34 = 0 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4875 divided by 975\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6575909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 7*w - 14. What is a(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87330509.\nAnswer: 7, 181, 68927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010101011110 (base 2) to base 12.\nAnswer: 1a166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 25810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 606 (base 11) to base 4\nAnswer: 23130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 59*n**2 + 2*n + 19184. Does 29 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1044 by 174.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**3\/2 + 4*n. Let i(w) = -2*w. Let z(d) = -10*d. Let f(k) = 9*i(k) - 2*z(k). Calculate f(o(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-160)\/8 + (-20780)\/(-1040))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 27. Let a be t(-10). Let y(j) = 4*j**3 + j**2 - 4*j. What is the hundreds digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10542345 - -3?\nAnswer: 10542348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 193841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*c = 24*c + 858 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, 1\/5, 1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.325966 tonnes?\nAnswer: 1325966000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 13. Let b(a) = -a**3 + 3*a**2 + 3*a + 1. Let f be b(3). Let n be p(f). Suppose n*j + 3 = 18. Solve j*c = 6 - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 14. What is p(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 5694*i**2 + 17064*i.\nAnswer: 2*i*(i - 2844)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14855, -1\/12, 0.01?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ole when three letters picked without replacement from womzwzzozezwlww?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436003 is divided by 335.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1681 and 47314?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.82 - 0.02. Let g = -0.6 + h. Which is smaller: g or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6))**(1\/48)*((x\/(x**(-15)*x))\/x*x)**(-1\/3) assuming x is positive.\nAnswer: x**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 96. Suppose -14*k = -10*k - t. Calculate the highest common factor of k and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v)*(v + 3*v - 2*v) + v**2 + 0*v + 0*v + 32*v - 32*v - 3*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12272 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/(-2) + 9\/54*-6. Is -27 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/71204140 and 137\/60.\nAnswer: 213612420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 224*g - 229*g = -18, 0 = 3*h + 4*g - 33 + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*j, -r + 3*r - 2*j - 26 = 0. What is the greatest common factor of r and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1489, 653, -5 in descending order.\nAnswer: 1489, 653, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39\/20 - 11\/5. Let p = -5.4 + 1.8. Let l = p + 4.1. What is the closest to g in l, 1\/3, 6\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11457, -27409, -43361?\n\"Answer: -15952*b + 4495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (8 + -15 - -12) - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24093.\nAnswer: 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -3907.7\nAnswer: -1172.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) -1 (c) -168 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/2)\/r))**(-1\/37)\/((r\/(r\/r**(-1\/5)))\/((r\/(r*r**3))\/r))*(r\/r**(-3\/7)*r*r\/(r**(-4)*r))**(5\/3) assuming r is positive.\nAnswer: r**(17803\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*q + 2 - 7)*(-13 + 49 + 21) as u*q + j and give j.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 5*r - 10. Let d(w) = -w - 2. Let u(p) = c(p) - 5*d(p). Let i(b) = 6*b**2 - b**2 - 2*b**2. Give u(i(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/4)\/((-3)\/24). Suppose 7*m + h - 260 = 2*m, 0 = m - c*h - 63. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 10\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-2 - 20\/(-12))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48722, 97446, 146172, 194900, 243630, 292362, 341096?\nAnswer: 389832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 22*k**2. Let j(s) = -s**2. Give j(n(m)).\nAnswer: -484*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14135090213 - -14135090202.000000453. Let z = t + 11. Round z to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - 3?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -129*s. Let v(h) = -h**2 - 111*h + 9. Give i(v(p)).\nAnswer: 129*p**2 + 14319*p - 1161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9047 (base 11) in base 13?\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/1182983 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/26*(-166)\/(-3). Solve -24*g - 11 = -q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 3*g + 2. Let r be h(-3). Let f = 5 + 42. Let d = f - r. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j + 20*j + 10*j + 19*j - 4494123*j**3 + 4494132*j**3 + 10*j.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335 divided by -59741.\nAnswer: -335\/59741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5944 = 10*b - 12*b. Suppose -3*k + b = -k + 2*r, 5*r = -2*k + 2957. Suppose -11*i + k = -797. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + (-28 - -22) - -14) + (-11 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = j - 364, -2*j + 884 = 5*t - 6*j. Suppose t = -4*k + 7*k. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1563047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvcvcfbvvfbbcvvvvc. Give prob of sequence bcv.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6831 and 6831?\nAnswer: 6831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 120, 366, 816, 1536?\nAnswer: 2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28.047521 and 6.\nAnswer: 34.047521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -88744\/89 and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -172, -2, -1 in ascending order.\nAnswer: -172, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2548558427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 + 12*z - 8. Let r(b) = b**3 + 7*b**2 + 4*b - 36. Let x be r(-5). What are the prime factors of m(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(110)*-5)\/(-5*((sqrt(10) - sqrt(100)\/sqrt(10)) + sqrt(10))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 + 3*x**3 - 27*x**2\/2 + 27*x + 4. Let h(q) = 0. What is q?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02744 - 748.02744. What is the smallest value in c, -1\/5, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1166, -270, -4336, -12400, -25830, -45994, -74260?\nAnswer: -111996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11643000 to the nearest 100000.\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2*5\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-12)*z)\/z)\/z**(-5))\/(z**(4\/3))**(-1\/93) assuming z is positive.\nAnswer: z**(-1949\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 44 + 7*m**2 - 12 - 27 - 8.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.51 + -17.49. Let r = o - -18. What is the closest to r in -2\/11, -2, 0.6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/20 - 7*v**4\/12 + 10*v**3\/3 + 10*v**2 + 182*v. Calculate r(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 10. Let t(j) = -j + 5. Suppose -6296*o + 6293*o = -12. What is o*x(f) - 9*t(f)?\nAnswer: f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 93385 (base 10) in base 11?\nAnswer: 64186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1221\/(-88))\/(57\/(-304)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*6*10\/(-15). Let r be 119\/3 - 3\/(-9). What is the lowest common multiple of 4 and m\/r - 4\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -11 - 19. Suppose -55 = 5*u - 5*r, -3*u + 2*r - g - 17 = 0. Let w = u + 26. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + -32. Let w = 14539 - 14395. Calculate the remainder when w is divided by m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1077490 and 8\/28355.\nAnswer: 1077490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 - -0.43. Suppose -10*s - 4*s = 532. Let w be (-2)\/10 + s\/110. Which is the closest to 1\/7? (a) w (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120858, -120786, -120716, -120648, -120582, -120518?\nAnswer: -120456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 11251?\nAnswer: -11250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -78*2*2\/(-8). Suppose a = -c - 2 + 7, -3*c + 3*a = -u. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let n(a) = 10037*a - 2. Calculate n(r(t)).\nAnswer: -10037*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(12 - 20672\/1720). Suppose 4*j - 5*j - q + 369 = 0, -4*q + 730 = 2*j. Let f = j + x. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-4)*5\/(-15)*3. What is the highest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -887, 3 in ascending order.\nAnswer: -887, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(1 + (0 + sqrt(1008)*-1 + 2)*-4))**2.\nAnswer: -24192*sqrt(7) + 582372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 12, 0, -5 in decreasing order.\nAnswer: 12, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1332749316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajjy when four letters picked without replacement from jyjayjy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/4)\/((-5 - -1)\/(-48)). Let b be 3 - (-4 + 3)*-3. Suppose 0 = 3*i + 5*o + 17, b*i + i - 4*o = 17. Solve 0 = -w + i + p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let z(p) = -p - 1. What is -2*j(o) + 6*z(o)?\nAnswer: -4*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + 57*f**2 + 287*f - 320. Let l(s) = s**3 - 29*s**2 - 144*s + 160. Let i(g) = -7*l(g) - 4*n(g). Factor i(w).\nAnswer: 5*(w - 8)*(w - 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**2\/2 - 9*u + 9. What is the first derivative of n(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38301 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 476*f**2 + 1069*f**2.\nAnswer: 1545*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 47*i**2 - 39*i - 1194. Calculate z(46).\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 117\/(-36)*2\/13. Let n = -14 + 35. Is k <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + w**2 - 3*w + 1. What is the remainder when 27 is divided by f(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9*k - 8*k = 225, 3*w + 5*k + 707 = 0. Let y = -149 - w. Calculate the highest common divisor of 48 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 11*u - 5. Let j be k(11). Let x(n) = 4*n**3 + 2*n**2 + 5*n - 4. Let d(w) = -5*w**3 - 2*w**2 - 6*w + 5. Give j*d(i) - 6*x(i).\nAnswer: i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-277)\/1662*2\/(-2))\/(5*(-1)\/3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63591521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 9 - 6. Let k(w) = -2 - 6*w + g*w**3 - 4*w**3 + 9 + 5*w**2. What is the units digit of k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31549 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.85089 rounded to one dp?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-788)\/(-22) - 4\/(-22). Let q = -31 + i. Solve -1 + 11 = q*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plpllll. Give prob of sequence pll.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10574665 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(612) - (sqrt(612) + sqrt(612)*1)*6))*3 + -4)**2.\nAnswer: 5148*sqrt(17) + 666637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 - 2*a**2 + 18*a**2 + a**3 to the form w*a + q*a**3 + s + p*a**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14162, 56580, 127276, 226250, 353502, 509032, 692840?\n\"Answer: 14139*b**2 + b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83.8 + -19.8. Let l = n - 63.9999924. Round l to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -1 (b) 0.5 (c) 156 (d) 0.1 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i + 40*i = -4. Let l be -3 + 1 + 4 + -2. Solve 3*w - 4*j - 31 = l, -5*j + i + 4 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 412236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.732321938 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 57 = -75 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i. Suppose 2*t + 2 - 6 = 0. What is h(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Let n(u) = -7 - u - g*u + 5*u + 0. Suppose -k - 13 = -2*k. Let t(f) = -2*f + 15. Calculate k*n(w) + 6*t(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 349?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(143)*5 - sqrt(143)) + (sqrt(143) + sqrt(143) + (-2*sqrt(143) - sqrt(143)))*-6))\/((sqrt(66)\/sqrt(2)*-5 - sqrt(33))\/(sqrt(24)\/sqrt(128))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 29. What is f(29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.94 + 151.06. Let s = f - 104. Let y = 0.09 - 0.19. Are y and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -355 times 8\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 812 divide 845846187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 - 30*s**2 + 21*s + 10. Let u be x(-9). Suppose -u*y + 316*y = 105129. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 1. Let c(b) be the second derivative of 25*b**3\/6 + 10*b**2 - b. Suppose 42*x = 2*x + 920. Suppose x = 24*f - f. What is f*c(t) - 20*g(t)?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -3*n**2\/2 - 11. Let b(s) be the first derivative of -s**2\/2 - 2. Determine b(o(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-4)\/3))\/(3\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4\/5 + 41472*l**3\/5 - 32471616*l**2 + 33467100160*l = 0.\nAnswer: 0, 2120, 37232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -8, 4\/7, 15 in increasing order.\nAnswer: -8, -0.07, 4\/7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 45, 28, -57, -246, -575, -1080, -1797?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 15*x**2 - 13. Let i(k) = -k**2 + k - 1. Let a(o) = -b(o) + 6*i(o). Calculate the remainder when a(-8) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54631, -109251, -163857, -218449, -273027?\n\"Answer: 7*u**2 - 54641*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 96. Let d(a) = -35. Let u(w) = -7*w + 980. Let n(y) = 28*d(y) + u(y). What is n(f(s))?\nAnswer: 14*s - 672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2006538674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v + 31 + 52*v - 31 - 2213*v**2.\nAnswer: -2213*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 62.3 times 1.1\nAnswer: 68.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Suppose -15 = 3*y, 21 = -4*x - 0*x - 5*y. Let b(h) = -57*h. Let o(k) = x*b(k) + 6*r(k). Is 14 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b = 10*b - 108. Let g(v) be the third derivative of -1\/390*v**5 + 0 + 1\/780*v**6 + 0*v**4 - 27*v**2 + 0*v**b + 0*v. Determine y so that g(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -20?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Let c be s(-3). Suppose -4*o - 4*b + c*b + 16 = 0, 3*o + b = 11. Calculate the greatest common divisor of 12 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1021115 and 38263?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8898 - 8909)*2\/(-10).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5693372.959703 from 0.2.\nAnswer: -5693372.759703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 12. Let k be a(-16). Find the third derivative of 32*u**4 + 38*u**4 - 47*u**k - 31*u**2 wrt u.\nAnswer: 552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 4*a - 27. Let c(t) = 96*t + 4. What is the remainder when c(a) is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 592 - -241. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -45. Let g be (-7 + 3)*58\/(-4) - -5. What is the highest common divisor of g and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**3 - 10*l**2 - 5*l. Let k(q) = 5*q**3 + 9*q**2 + 4*q. Let i(s) = -5*k(s) - 4*z(s). What is the third derivative of i(w) wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7894 greater than -7283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-18\/11)*q\/((q*q*q\/(q\/q**(-3\/7)))\/q))\/(q**(-4\/17)*q**(-12)*q) assuming q is positive.\nAnswer: q**(14435\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 923988, 924153, 924318, 924483?\nAnswer: 924648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**3 - 36 + 3*d**3 - 18*d - 35 + 77 to p*d**3 + s + l*d**2 + j*d and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -19*f - 12. Calculate the smallest common multiple of f and (1959\/6)\/(0 + 1)*2.\nAnswer: 3918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1922080892 and 0.23.\nAnswer: 1922080892.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5746 and 2210?\nAnswer: 28730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**3 + z + 2. Let y(t) = -t**3 + t**2 - 1. Calculate d(c) + 2*y(c).\nAnswer: 2*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*n**5 - 7108*n**4 - 110842*n**3 + 61820*n**2 + 5888*n - 4096 = 0 for n.\nAnswer: -32, -1\/4, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 14*d**2 - 114*d + 902. Calculate u(8).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -0.141, 2, -5?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 1.1. Let x = 8 + -7.7. Let r = -0.3 + x. What is the closest to 0 in 4, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 230334*f - 231159*f - 1.\nAnswer: -825*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-32)*m)\/m)**(-8\/5) assuming m is positive.\nAnswer: m**(-272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, 1 z, and 1 f when four letters picked without replacement from zffzrefzqffrzzz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-4)*2 + -2. Let r = -1773.5 + 1773. Which is the third smallest value? (a) v (b) -1\/3 (c) r (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37128, -37151, -37200, -37287, -37424, -37623, -37896?\nAnswer: -38255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-637958.4.\nAnswer: -1913875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 8158292 - 8158292.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.1 - 19.09634. What is n rounded to 4 decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27224, 54529, 81846, 109175?\nAnswer: 136516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+774834325940\nAnswer: 774834325940.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95637 and 2343?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - (-1 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12870 + 12870.4. Let c be (4\/(-600))\/((-3)\/262). Let x = -9\/25 + c. Put x, -4, 3, z in ascending order.\nAnswer: -4, x, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991 is divided by 166.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*t + 478. Suppose 5*c - t = -5*h, 4*h = -3 + 15. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1239919446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5942413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5920000 to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 16. Let o be k(3). What is the lowest common multiple of -1*((-1)\/(-2))\/(o\/1040) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11081.722 rounded to the nearest one hundred?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-3 - 18) - (-1 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1000 divided by 1625\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -17\/6*w**3 - 2 + 19*w - 3*w**2. Let i(l) be the first derivative of v(l). Find the first derivative of i(m) wrt m.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2842 and -0.1.\nAnswer: -284.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 10*l + 4. Let d(x) be the second derivative of x**4\/4 + 19*x**3\/6 - 4*x**2 - 5*x. Let n(o) = -5*a(o) - 3*d(o). What is n(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -180?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 13*y**2 - 5*y - 53. Let h be v(-13). Let a(j) = 13*j**2 - j**3 - 2 - 15*j + 4*j - 5. Let x be a(h). Solve x*r - 4 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o - u + 12, -2*o - u + 16 = 0. Let g(c) = -c**3 + 16*c**2 - 5*c + 1. Let r(v) = -v**2 - v - 1. Let y(q) = o*r(q) + g(q). Is 9 a factor of y(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -595, -1375, -3585, -7939, -15151, -25935, -41005, -61075?\n\"Answer: -119*x**3 - x**2 + 56*x - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6*k + 1. Give z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y + 3*h, -3*y + 16 = 5*h - h. Suppose -y*w + w = -12. Suppose z + 13 = 2*v, w*v - 21 = -0*v + z. Solve -v*d = -p + 7, d - 2 = -p + 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 601177*u**2*y - 12*u*y + 540*u - 27*y wrt u.\nAnswer: 1202354*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/3 + 55640*r**2\/3 - 222368*r.\nAnswer: -4*r*(r - 13898)*(r - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.5. Let v = 1 + w. Let h = v - 0.88. Round h to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-8) + -1)*52\/39. Is n at least -0.1028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 776 and 25815677?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144977 by -1.\nAnswer: -144977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**3 + m**3)*(1113*m**2 - 177*m**2 - 117*m + 117*m).\nAnswer: 1872*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:51 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 320, 424, 532, 644, 760, 880?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 32 = -2*k - 2*k, -k + 3*r = -6. Let c(s) = -5*s**3 - 7*s**2 + 12*s + 4. Let u be c(k). What is u rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 + 109*j**3*u - j**2 - 3*j*u + j + 4*u wrt j?\nAnswer: 12*j**2 + 654*j*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(((-18)\/60)\/((-7)\/35)). Sort -16, d, 4, 5 in descending order.\nAnswer: 5, 4, d, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/51 + 92\/255. What is the closest to 1 in m, 4, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8457*v**2 - 6142?\nAnswer: 16914*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60316801*c**2*y - 82111594*c**2 wrt y?\nAnswer: 60316801*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-252)\/189*60\/(-40). Let r = 0 - 1. Let p = 2 - r. Solve -3*k = -6, -p*k = q - b + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841174 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: What is 101101001010010 (base 2) in base 15?\nAnswer: 6cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036364 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 229 = -148. Let b(x) = 2*x + 1 + x**3 + t*x**3 - 5*x**3 + 0*x**3 + 2*x**3. Calculate b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/68526 and -49\/36.\nAnswer: 137052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518\/18 - 12\/(-54) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*x**4 - 49*x**2 + 2*x - 311 wrt x.\nAnswer: 60*x**2 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - ((1 - 6) + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -877 + 879. Solve x + 15 = 5*m, -5*x - 15 = -o*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/96 and -44\/81.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -537 + 537. Let k(x) be the third derivative of c*x**3 - 1\/12*x**4 - x**2 + 0 + 0*x. Let b(q) = 4*q. Calculate k(b(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -157010545?\nAnswer: -157010545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 447 + -237. Calculate the remainder when c is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.061 - -28\nAnswer: 28.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*w - 3*w + 286, -w + 278 = c. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.74 and -2545179.\nAnswer: -4428611.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*l**2 - 2*l**2 - 3*l**2)*(5 + 1 - 4)*(-1 + 0 - 1)*(14 - 23 + 7) to u + h*l + y*l**2 and give y.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3, -z + 0*z + 17 = -3*u. Let b be (8\/5)\/(1\/z). Let x = b + -20. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 + 4168*s**3 + 33008*s**2 - 82720*s = 0.\nAnswer: -1034, -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = -4*t - 6*b, -4*t = b + 23. Let y(o) = -11*o**2 + 3*o + 14. Let c(p) = -5*p**2 + 2*p + 7. Let v(j) = 13*c(j) - 6*y(j). What is v(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 783*l + 27. Let g(p) = -p. Let y(i) = -5*g(i) - s(i). Is y(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -2 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*x + 20 = 0, -5*a + 2*x = 2025 - 2053 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13\/2, 1\/5, 0.1, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/3)\/(4\/(-6)). Let t(y) = -y**2 + 0*y**2 + y**2 - 2*y**g. Let q(f) = 3*f**2. Determine q(t(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-519)\/(-16954)*(-14)\/(-12).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.845342 rounded to 3 decimal places?\nAnswer: -8.845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 59*i**2 + 139*i**2 - 60*i**2 in the form q*i**2 + s + h*i and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 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: Put 8.3, 3, 0.09, 1\/6, -0.1 in increasing order.\nAnswer: -0.1, 0.09, 1\/6, 3, 8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17163290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:22 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -645, -5 in decreasing order.\nAnswer: 0, -3, -5, -645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-280))\/(-1))\/(157\/(-1570))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 10*w - 10. Suppose -6*h = 3*h - 54. Let f be q(h). Let n be (-15 + -359)*(-1)\/f. Calculate the greatest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cc6 (base 16) to base 8.\nAnswer: -16306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5978?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 4*p**2 - 79*p + 402. Let u be x(6). Let r = -13 + 13. Solve r = -3*y - 2*h + 11, -3*h + 4*h - 1 = u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1daf + 65?\nAnswer: 1e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -38 + -28 + 56 - (7 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1\/2, 4, 3\/4, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 10, -1, 0.135?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = -5. Suppose 0 = -t*q + 401 + 99. Let n = q - 74. What is the highest common divisor of 182 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b18 (base 14) to base 9.\nAnswer: -82448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**4\/24 + 4220*u**2. Let n(z) = 6*z**2 - 149. What is n(x(s))?\nAnswer: 6*s**2 - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.1. Suppose 0 = 7*k - 3*k - 28. Suppose 2 = -5*i + k. Sort -2, i, m.\nAnswer: -2, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2589836367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1*3*1)\/((-446655)\/(-11910800))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -294360?\nAnswer: -58872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 622166927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 + 1306 = 273*k - 83*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35144708 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -43 - 34 - 18 + 7 - 58*m. Is r(-7) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1654*b**2 + 398*b**2 + 352*b**2 + (-3*b + 2*b + 4*b)*(-2*b + 0*b + b).\nAnswer: 2401*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**2 + 42*l - 33. Let z be u(-6). Solve -z*w + 2*s = -s - 9, -4*w + 5*s = -11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 24 = -9*h. Suppose 4 = -h*m, -3*m - 10 = -z - m. Is 29\/4 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11792826 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -26. What is the smallest common multiple of -3*4\/(-36)*3 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 785600 and 32400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z**2 - 52*z + 18. Calculate d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 15*h + 5*h + 392 = 0 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-28 - (-5 + 0) - (-27 + 23))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:44 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2 + 53*i - 2. Determine r(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 96, 81, 50, -3, -84?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1693 - 0.169297375. What is c rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16646, 66526, 149658, 266042?\n\"Answer: 16626*p**2 + 2*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 434976 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, 5, -38972 in descending order.\nAnswer: 5, 0.2, -5, -38972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12209, 24299, 36387, 48473?\nAnswer: 60557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 68 + 73 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1491\/(-568))\/(63\/(-18))*(-48)\/(-1)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 402, 359, 296, 213?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 5*z - 1\/2*z**3 + 0 - 3*z**2. Give o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50119?\nAnswer: 50119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50001 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34146634, -34146635, -34146636, -34146637, -34146638?\nAnswer: -34146639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(-1*sqrt(576) + sqrt(576)))\/((sqrt(200)*2 + sqrt(200))*2)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnunnnnunnnn?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*l**2*q**4 - 52*l**2*q + l*q + 528*l + 6765*q**4 wrt q.\nAnswer: -96*l**2*q**2 + 81180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = 200. What is the remainder when (11 - 8)*d\/6 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -8.3, 6, 5?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145191937?\nAnswer: 11, 13199267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h - 6. Let w(d) = 7*d + 5. Let n(l) = -6*t(l) - 7*w(l). Let m be n(1). Let m - 4\/7*p + 2\/7*p**2 = 0. Calculate p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 1225*f\/2 - 2458.\nAnswer: (f - 4)*(f + 1229)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 3*u**2 + 1. Let i(v) = -5*v**3 - 8*v**2 - 2. Suppose 31 + 9 = 5*d. Let l(b) = d*c(b) + 3*i(b). Find the first derivative of l(y) wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 374 - 3?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:41 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, 0, 3, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 5*m + 37 = 3*q, q = 3*m + 12. Let x be 21*(20\/(-12))\/5. Let a = x + 4. Are q and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4132\nAnswer: 1\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/397? (a) 0.4 (b) 2 (c) 4 (d) 2\/91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 1)\/(-27) - (-5)\/45\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4*x = -2*f - 20, 2*x + 12 = 3*f. Which is bigger: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**4 - 6*q**4 + 4*q**4)*((5*q + 2*q - 5*q)*(1 + 1 + 11)*(2 + 2 - 3) + 4*q + 0*q - 2*q + 3*q - q - 5*q + (4 - 3 + 0)*(-2*q + q - q) + 4*q - 6*q + 3*q).\nAnswer: 48*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**3 + 35*n**2 + 7*n + 24. Determine t(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3\/3 + 2*h**2 - 26*h - 40\/3 = 0 for h.\nAnswer: -5, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 71709, -6, 127 in decreasing order.\nAnswer: 71709, 127, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*r + 2*j - 68, 5*r - 124 = j. Let a be (-6)\/(-21) - (-26)\/7. Solve 4*i = -r + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 417, 0.3, -1\/2, 3 in increasing order.\nAnswer: -1\/2, -1\/4, 0.3, 3, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 85971776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1+1036.032\nAnswer: 1037.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 442945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1895 + 1908. Solve -16*w = v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 44*y - 1179. Is m(-91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042956391 a multiple of 4301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3984 is divided by 66.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (7 - 4 - -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -279.9306 - -279.6. Let g = -0.0306 - t. Which is the nearest to 5? (a) 1 (b) 0.1 (c) g (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -777 divided by 5?\nAnswer: -777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*r + 55 = 234*r + 5*w, -2*w = -6 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**2 + 38*h - 412. Let b(s) = -12*s**2 - 62*s + 687. What is -18*a(p) - 11*b(p)?\nAnswer: 6*p**2 - 2*p - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 1545 = 3*g - 3*c, -15 = 3*c. Let n = 1124\/3 - g. What is the common denominator of n and (-60)\/8*10\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 17*g. Suppose -5*v + 2*v = -9. Let q(h) = 26*h**2 - 16*h - 16. Let n(w) = -5*w**2 + 3*w + 3. Let l(t) = v*q(t) + 16*n(t). Determine l(x(o)).\nAnswer: -578*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -5, -6, -9?\n\"Answer: -k**2 + 4*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (8 - (-22 - (2 - 6))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -141?\nAnswer: 4\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 = 3*a + 6*a - 772. Calculate the highest common factor of 648 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 6, 0.6125, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -534.41 or 1?\nAnswer: -534.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*w**4 + 25*w**3 - 570*w**2 + 860*w - 200.\nAnswer: 5*(w - 2)**2*(w + 5)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1805 and 0.1892.\nAnswer: -341.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 5:48 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*l - 11*l**2 + 181*l - 342*l - 15.\nAnswer: -11*l**2 + 9*l - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1 + 2*x**2 - 24*x**3 + 22*x**3 - 5*x**2. Let f(z) = -z**2 + 12*z - 13. Let t be f(11). What is the units digit of c(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1101792 divided by -550896.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 17) + 3 + 4 + -12 + 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 0 + 0)*(0 + 0 + 2 + (-1 - 2 + 4)*(-1 + 2 - 3) - 3 + 10 + 13)*(-3*y + 5*y - y) as l*y + j*y**2 + n and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1048985 and 680.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3507.471 and 2.\nAnswer: 3509.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -38 times 412.5293\nAnswer: -15676.1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 10*z**2 - 2*z - 22. Calculate the remainder when x(-9) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 0, -35, -72, -105, -128, -135, -120?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 11 = 5*s. Suppose s*z + 3 = -2. Let a be (4 + -4 + -2)*z. What is the smallest value in 2\/5, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3464360.\nAnswer: 2, 5, 257, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 3, r: 1}. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32 from -0.13988684.\nAnswer: -32.13988684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let s(u) = -392656353*u. Determine g(s(c)).\nAnswer: -392656353*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*b + 4*b**2 - 1128*b + 370*b + 387*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -110, 535, 1938, 4345, 8002, 13155?\nAnswer: 20050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 409, 614, 819, 1024, 1229?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -281 - -106672?\nAnswer: 106391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127564, -256298, -386208, -517300, -649580, -783054, -917728?\n\"Answer: -f**3 - 582*f**2 - 126981*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 10*h**2 - 10*h + 1. Let g be c(11). Let i be -21*-4*2\/g. Let k = i + 20. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 36. Let q be 0 + w + 2 + 0. What is the second derivative of -q*c + c**2 - c**2 - 2*c + 12*c**3 wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -13*g**2 - 9*g - 2. Let y(l) = 6*l**2 + 5*l + 1. Suppose 9*c + 4*f + 4 = 8*c, 5*f + 4 = -c. What is c*p(j) - 9*y(j)?\nAnswer: -2*j**2 - 9*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2, 0.1, 0.01, -7 in ascending order.\nAnswer: -7, -2\/7, 0.01, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -596*l + 592*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 10. Suppose -k = 3*h - 6*h. Suppose 2 = -x, -4*l + 98 = -h*x - 4. Calculate the highest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251350 = -247*h + 272*h. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Suppose -2*u - 3*u + 15 = 0. Let f(d) be the second derivative of 0*d**u + 2*d + 0*d**2 + 0 - 1\/6*d**4. Give j(f(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5250423.\nAnswer: 3, 1750141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 41.984. Let c = 0.154 + s. Let y = c + -0.04. What is y rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19949215 divided by -362713\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:47 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 5, -25\/6, 4, 4\/43?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67117\/15 - -4466. Let f = z + 44\/5. Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2.7 (b) 103\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 207.3528593 to 2 decimal places.\nAnswer: 207.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39097874?\nAnswer: 2, 19548937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.362945 - 4.35. What is o rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 85, 155, 253?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 3\/2*a**2 - 2*a + 1\/3*a**3 - 60. Calculate t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.36811 to 1 dp.\nAnswer: 37.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 19*f**2 + 21*f + 24. Let z be y(-20). Solve 0 = 3*p - z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-11))\/(5*-2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32417 - -8?\nAnswer: -32408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 406546340.\nAnswer: 406546341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -114. Let p be -5 - z - (-6 - 2). Solve 0 = p*k - 8 - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 2 (c) -0.4 (d) 5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3931, -3866, -3757, -3604?\n\"Answer: 22*c**2 - c - 3952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 120061727, 240123451, 360185175, 480246899, 600308623?\n\"Answer: 120061724*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 57. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 14*m = -6412. Suppose -m = -10*s - 4*s. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = c - 5*s + 2*s, 3*c = -321*s + 324*s + 21 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(((-4)\/(-2))\/(-8)). Suppose m + f = 12. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275 - -274.811. Round x to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 101805272, 203610544, 305415816, 407221088, 509026360, 610831632?\n\"Answer: 101805272*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.3. Let g = -2379 + 2382. What is the closest to -2\/5 in 2\/3, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - -98. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/16 and -61\/616?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6) - 1)*-12. Suppose -39*w = -38*w - 5. Suppose -5*y - w*g + 120 = 0, 2*y - 2*g = x*y - 90. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 6) to base 14\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1888\/17 + 6411\/34. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -10. Let b = 12 + o. Let n = 67 - 55. Calculate the smallest common multiple of n and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1b?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 44 = 5*q - 15*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5\/5 - 104754*h**4\/5 + 628419*h**3\/5 - 104664*h**2\/5 - 2513616*h\/5 - 1675776\/5 = 0 for h.\nAnswer: -1, 4, 34912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = 14. Calculate the smallest common multiple of q and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-21))\/(11\/(-6083)). What are the prime factors of (g\/5)\/(2\/20)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssmmsm. What is prob of sequence smmm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccjk when four letters picked without replacement from {c: 4, k: 2, j: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137458270367.42637962 + -137458276518. Let r = n + 6173.57362. Let y = -23 + r. Round y to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -2*d + 5*d. Let a(y) = -y**3 + 10*y**2 - y - 11. Let o be a(10). Let u = o - d. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least -14\/1231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87019\/21424 - 1\/1339. What is the common denominator of -117\/40 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2997 + -1373. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f)\/((f*f*f*f**6*f)\/f)*f**(-5\/2)*((f*f**(2\/9))\/f)\/f*(f**(-1\/4))**22\/((f\/f**(-1\/2)*f)\/f)**(3\/4) assuming f is positive.\nAnswer: f**(-1721\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002166 is divided by 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {c: 6, k: 2, t: 2, z: 4, g: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnfnnn. Give prob of sequence fnfn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, 40, 53, 70, 91, 116?\n\"Answer: 2*u**2 + 3*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z + 378. Calculate the remainder when o(32) is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o = 0. Let n(q) = -q + 5. What are the prime factors of n(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -20. Let w = 34\/5 + -369\/55. What is the second biggest value in v, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656432118, 656432119, 656432120, 656432121?\nAnswer: 656432122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44172*q**3 - 30240*q**3 - 9941*q**3 - 73244*q**3.\nAnswer: -157597*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - (-1721 + 1661)) + 12.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7851 + -0.3851. Suppose 8*w - 5 = -5*t + 4*w, -1 = -t - 2*w. What is the third smallest value in -3\/22, m, -5, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 315*w - 5695. What is b(17)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 55 + -46 + 29\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1291*a*n*y - 2*a*n + 2*a*y + 10047*n*y - 4*n wrt a.\nAnswer: 1291*n*y - 2*n + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let c(h) = -h**3 + 7*h**2 - 8*h + 7. Let o be c(6). Let q = 5 + o. Let p(u) = u + q + 0. Calculate f(p(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:23 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25193 and 751947.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735) + sqrt(15))*-6)\/(sqrt(80)*-2 - sqrt(5)).\nAnswer: 16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/3)\/(45\/(-54)) - 5. Let q(u) be the second derivative of -13\/10*u**o - 25*u + 0*u**3 + 0*u**4 + 0 + 4*u**2. Differentiate q(d) wrt d.\nAnswer: -78*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*v + 577 = 4*q - 0*q, 15*v - 19*v + 5*q - 30 = 2*q for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 + -238.9. Let l = t + -2.1. Let v = l + 17. What is the third smallest value in -0.4, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2, -4\/7, 0.0254?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57464 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 2*u + 4, -5*h - 1 = -3*h - u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from gofeggfgufwggefgo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 16. Let n = 2002 + -2001. Which is the nearest to j? (a) 1\/5 (b) n (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + (-45)\/9 - -14019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020220 (base 3) to base 5\nAnswer: -12130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 976876.5ng?\nAnswer: 0.9768765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -203171 and -0.0019.\nAnswer: 386.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 4*n**2 - 4*n - 3. Let v be l(5). What is the tens digit of (-47)\/2*(-3 - v\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/((-775)\/248)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 = -345. Suppose -2*y - 1285 = 5*d - y, y = 5. Let h = d + b. What is h rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ea (base 16) in base 5?\nAnswer: -22024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.290001 decades to years.\nAnswer: 52.90001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 268726774 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2736 - 21764.6?\nAnswer: -24500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(350) + sqrt(350)))\/(sqrt(7)*2*-2 - sqrt(7)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29911*l - 28825*l - 7602 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 58*i + 904. Calculate x(-71).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19968579 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1006 + 1766. Suppose 3*p + n = 7*p. What are the prime factors of p?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -2. Let w be -3*((-1)\/t)\/(-1). Let q be -6 + 231\/18 - (-2)\/12. Which is the closest to 1? (a) q (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 16 = 4*m, 4*m + 19 = -4*t - 9. Let l = m + 9. Let i(r) = -r**2 + 7*r - 5. What is the units digit of i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 12*p + 27. Let u be g(-12). Suppose 29*l - u*l - 30 = 0. Calculate the greatest common factor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + -83. Let k = 117 + c. Let j = -257 + 3853\/15. What is the nearest to 1 in j, k, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20123129?\nAnswer: 13, 29, 53377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.72 + 2.9. Let h = -0.52 - t. What is the third biggest value in 2, -2, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -964 + 2890\/3. Suppose 2*k = 4 + 4. Let p be 24\/(-18) - k\/6. Which is the smallest value? (a) q (b) -3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 5*p**4\/102 - 581*p**3\/17 - 698*p**2\/17 - 2*p + 1586. Factor w(k).\nAnswer: 2*(k - 349)*(5*k + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1630557\/17161 - 91) + -4\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -14*o + 477. Let j be r(34). Let s be ((-4)\/102)\/((-2)\/(-6)). Sort s, 0.5, j in descending order.\nAnswer: j, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56672*g = 56708*g - 144. Put -2, 3, 23, g in descending order.\nAnswer: 23, g, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2728)\/275 - (-5 - 5)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 + j**3 - j + 3 + 6*j**2 + 3*j**3. Let f be n(-6). Suppose 5*y - f = -4. Calculate the highest common factor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1145319 divided by -381773\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 3351*n**5\/20 - 376*n**4\/3 + 3*n**2\/2 - 2005*n. What is the third derivative of d(v) wrt v?\nAnswer: 20106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 45?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/15 + a**4\/4 + 19*a**3\/6 + 19*a**2. Is p(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 900997967 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k + 40 = 0. Let f = 32 + k. Suppose -2*y = -20 - f. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 11. Let h be q(-8). Let k be ((-2)\/h)\/(4\/(-160)). Suppose t - 5*t + k = 0. Solve 4*l - 22 = -2*f, 3 = -f + t*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-2 + 3 + -12) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -833c700?\nAnswer: 833c700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-seven halves of a centimeter?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g - 4*g**2 + (2*g**2 + 3*g**2 - 6*g**2)*(-4 - 1 - 6) as q*g**2 + r + u*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20268? (a) -2 (b) -0.3 (c) 1\/5 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/65 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9078 or 8785?\nAnswer: 9078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 60. Let t = -21 - -59\/3. What is the second biggest value in k, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:38 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 5 (c) 3 (d) -10 (e) 168\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -917413.37?\nAnswer: -917413.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w + 3*w + r, -5*w = 2*r + 9. Let p = -1 - w. Suppose -4*h + 31 = -n, 4*h + h - 2*n - 38 = p. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*v - 11, 2*v + 5 - 6 = -f. Suppose -v*k = -3*c - 5*k + 48519, -4*k = -c + 16159. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dylllggvllglvd. Give prob of sequence lv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 4*l, j = -l. Let d(v) = -5 + 11 - 5*v + j*v. Let f(a) = 14*a - 17. Let o(p) = 17*d(p) + 6*f(p). Give o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**3 + 7*i**2 - 7*i - 4. Let h be -4 + 4 - -1 - 24. Let u = -19 - h. Let w(d) = 3*d**3 + 4*d**2 - 4*d - 2. Give u*x(o) - 7*w(o).\nAnswer: -o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2215*f - 2210*f - 111205 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**4 - 4*l**2 - l - 1. Let n(f) = 2*f**4 - 41*f**3 + 161*f**2 - 76*f - 501. Let i(o) = m(o) - n(o). Factor i(b).\nAnswer: -(b - 5)**3*(3*b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -p - 334. Let a = p + 576. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 18*h + 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npgo when four letters picked without replacement from fmnmnfnfpngon.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477097887 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 17. Suppose 4*f - 5*l - 9 - 7 = 0, -3*l = y*f - 57. Is 8 a factor of (-36)\/(-30)*f\/(27\/280)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 59*j + 55*j = 4, 0 = 2*b + 2*j - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:03 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3881 divide 47548942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (65\/91*7 - (-13 + -2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 11*h - 43. Suppose -33 = 5*l + 22. Let y = h + l. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**3 + 51*j**2 - 107*j. Let q(v) = -2*v**3 - 18*v**2 + 36*v. Calculate 6*m(n) + 17*q(n).\nAnswer: 2*n**3 - 30*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/((f*f**(2\/9))\/f)*f))*f)**(-30)*((f**(2\/7)*f)\/f)**(-2)*f*f**(1\/5)*(f*f\/(f\/((f**(-9)*f)\/f)))\/f*(f**0)**(-4\/33) assuming f is positive.\nAnswer: f**(-12779\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1056 and 4931256?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5, -0.00629, -4, -3\/14, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1))**32)**(10\/9))**(29\/4) assuming n is positive.\nAnswer: n**(-2320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 + 0*k**2 + 2*k**2)*(1 + 2*k**2 - 1) + (-3*k - 3*k + 4*k - 5)*(-130*k**3 + 6672 - 6672) as d*k**3 + t + i*k**4 + y*k + u*k**2 and give i.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 0.05798128.\nAnswer: -3.94201872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548878337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}