diff --git "a/data/dm_maths/full_data/1173_11255.jsonl" "b/data/dm_maths/full_data/1173_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1173_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence ite when three letters picked without replacement from {i: 2, l: 4, e: 1, j: 2, t: 5, r: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, -2\/3, -4\/7, 1\/44, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 + 6. Let p = -26 - -14. Let l be (-16)\/p*18\/4. Let t be x(l). Calculate the greatest common divisor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*p + 26466, -4*p = k - 17875 - 3281. What is p rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z + 0*z**6 + 0*z**4 + 0*z**5 - 97\/2*z**3 + 0 + 41\/70*z**7 - 324*z**2. Differentiate n(a) wrt a.\nAnswer: 492*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 85782.46 nanograms?\nAnswer: 85.78246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54732, -218373, -491102, -872919, -1363824?\nAnswer: -1963817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = 3*u - 156, -2*u - 3*o = -84. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3\/5 (c) -1387 (d) -0.11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41598 - -41893. Solve 3*q + 4*t + 26 = 0, f*t = 3*q + 293*t - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-104)\/6*(14\/(-4) - -2). Suppose 0 = 8*l - c - 14. Solve -5*v + l = 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 9*g**2 - 2*g - 9. Suppose -3 = -a - 4*z, -3*a + 3 = -5*z + 45. Let p be d(a). Suppose 0*i + 5*i - 5 = 0. Solve 4*w + p = i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 202. Let z = 190 + -229. Calculate the lowest common multiple of 49 and s(z).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 8 - (-42 - (1 + -29))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*z + 63*z - 5 + 19.\nAnswer: 287*z + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3210 - 3210. Solve 4*m - 26 = -g*m + 2*d, 0 = -5*m - d + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {c: 5, v: 4, b: 1, r: 3, a: 1, n: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 145173 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -615*t - 1925. What is d(-3)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-5\/2)*i)\/((i*i\/((((i\/(i**(-6\/25)\/i))\/i)\/i)\/i*i*i))\/i) assuming i is positive.\nAnswer: i**(287\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-1) - 1)*(-96)\/540. Let i = v + 77\/180. Factor -1\/4*l + i*l**4 + 1\/4*l**3 - 1\/4*l**2 + 0.\nAnswer: l*(l - 1)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 28*h**2. Let s be y(1). Suppose -4*o = -s - 76. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740137 to the power of 1\/2, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = -3*w + 11, 5*x = 2*w + 4. Suppose -x*f + 6 = 3*q + 1, -f = -q. What is the common denominator of ((-267)\/(-66) - 0)\/f and 29\/156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*1) + sqrt(12)\/sqrt(4)*1.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 1. Let w be m(-1). Sort 0, w, -5, 5 in decreasing order.\nAnswer: 5, 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88385113 or 88385115?\nAnswer: 88385113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-4) - (-1)\/4. Let f = -17 + 12. Let z = 9 + f. Solve 15 = z*a + m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3399978.\nAnswer: 2, 3, 89, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*n - 150, -5*n - 208*q + 150 = -209*q for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q + 19 = -4*v, -3*v + 33 = 3*q. Let r = -111 - -264. Calculate the greatest common divisor of q and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3234 and -65\/68508.\nAnswer: 3356892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a + 39. Let v(b) = -25*b + 155. Let o(x) = 9*t(x) - 2*v(x). Let h be o(9). Suppose -4*p = 3*q + p - 359, 133 = q - h*p. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 34*m - 10261. Determine r(-120).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -1. Suppose 167*a = 109*a - 58. Sort g, 2, -2, a in decreasing order.\nAnswer: 2, a, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 225*a - 55 + 225*a + (-2*a**2 - 2 + 2)*(4 - 3 - 3).\nAnswer: 6*a**2 - 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19869, 19870, 19871, 19872, 19873?\nAnswer: 19874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 - -0.03. Suppose 23*c - 17*c + 918 = 0. Let q = 155 + c. Sort 3\/8, k, q.\nAnswer: 3\/8, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - -0.3. Sort 4, 1\/4, z in increasing order.\nAnswer: 1\/4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s + 0*s - 4*s + 27 - 26. Let i be g(-1). Are -2 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + y - 18 = 4*q, 10 = q - 3*y. Suppose 112 = i + 5*m, 0 = 2*i + 3*i + q*m - 644. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 3*n + 3. Let r(v) = -7*v. Let i be r(-3). Suppose 30 = -3*y - 21. Let w = y + i. What is p(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -84*k. Let m(c) = -167*c - 180*c + 323*c. Let n(o) = 18*m(o) - 5*q(o). Let z(a) = 5*a. Give z(n(j)).\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -149, -172, -205, -254, -325, -424?\n\"Answer: -n**3 + n**2 - 19*n - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*a - 4419, 8*a - 4415 = -4*i + 9*a. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-2\/19)*a\/a**3*a**(-3\/5)\/a*a\/a**(3\/5)*a assuming a is positive.\nAnswer: a**(-104\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*d - 8. Suppose a + 3 = -d. Is (-3)\/(-12) - 150\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - o**2 - 4*o**2)*(-o**3 - 2*o**3 + 5*o**3) - 1157*o + 32 - 2*o**5 + 1157*o.\nAnswer: -4*o**5 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820041*q**3 + 18823571 - 18823571 - 820061*q**3.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37183, 74689, 112191, 149689, 187183, 224673?\nAnswer: 262159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 32, 52, 74?\n\"Answer: q**2 + 15*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3184890618 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37332278 to the nearest integer?\nAnswer: 6110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13589308 is divided by 6037.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33532, -33671, -33778, -33847, -33872, -33847, -33766, -33623?\n\"Answer: p**3 + 10*p**2 - 176*p - 33367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t = -3*t - 117 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, -3\/8, -3\/5 in decreasing order.\nAnswer: 2, 0.4, -3\/8, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/8)\/((q*q**25)\/q*q*q)*(q*q\/q**(-2\/25))**21 assuming q is positive.\nAnswer: q**(3461\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 748, 1, 17.93, -24, -3\/2, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 at most 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4654766 is divided by 2284.\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q - 8. Determine d(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -17 + -13 - 18677\/(-779)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 28. Let a be n(7). What is the second derivative of 8*y + 14*y**2 + 35 - a wrt y?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12729 - 254529\/20. What is the common denominator of o and ((-36)\/(-280))\/((-16)\/10)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1 + 0 + 15*r + r**3 + 12*r**2 + 0 + 5. What is the units digit of c(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43579508 divided by -4\nAnswer: -10894877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0529 - 0.3.\nAnswer: -0.2471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 79*s**3 - 18*s**2 - 33*s - 649. Is j(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14490 - -17725. What is y rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - q - 11, -2*s + 5*q = -4*s + 14. Which is the smallest value? (a) s (b) -4 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2832973521 rounded to 6 dps?\nAnswer: 0.283297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 124cc535?\nAnswer: 124cc53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1458*i**4 + 22*i**3 - 143847*i**2.\nAnswer: -34992*i + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1787b6 + 90?\nAnswer: -178726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6*r**2 + 3*r + 3. Let g(w) = -3*w + 14. Let y be g(6). Let q be a(y). Let n = 56 + q. Solve n = 2*t - 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 4*i**2 + 3*i**3 - 1063 - 3*i + 1065 + 0*i**3 to the form t*i**2 + h*i**3 + u + w*i + d*i**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3327, 14471, 33015, 58935, 92207, 132807, 180711, 235895?\n\"Answer: -4*q**3 + 3724*q**2 - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48, -95, -142, -189, -236?\n\"Answer: -47*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*l - 2, 3*l = 3*m + 34 - 10. Let q(s) = s**3 - 7*s**2 + 5*s + 4. Determine q(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/24 and (-95)\/25 - -4 - (-6170)\/(-6600).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3225c5 (base 13) to base 14.\nAnswer: -228a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghsfgs. What is prob of sequence ss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38886257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 8*m**2 - 4*m + 3. Determine t(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 24*c - 24*c - 4*c**2. Let n(a) = 3*a**2. Let d(r) = -5*h(r) - 4*n(r). Let p(m) = 2*m. Calculate p(d(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378614961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21195 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(132)\/(sqrt(48) - (sqrt(48) + sqrt(48) + sqrt(768))))*-5.\nAnswer: sqrt(11)\/2 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggog when four letters picked without replacement from ogogogoooooo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -7\/5 (b) 0.4 (c) -2 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1922 and 8998.\nAnswer: 8647078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 8 + 16 - 7 - 3. Let g be n(-4). Solve 4*w - 2 = g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 199*c**2 + 3020*c - 3539. Determine n(13).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6147 - x**2 + 6147.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*q + 4 - 24, -15 = 2*q - 3*z. Let w = -6\/77 + 4\/11. Determine m so that 0*m + 0 - 2\/7*m**5 + q*m**2 + w*m**3 + 0*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + -0.18. What is the nearest to g in 3, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/15 + 10\/15. Let a = 48 + -25. Let s = 23 - a. Which is greater: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*p + 2*g - 5, 0 = 3*p + 5*g + 31. Let a = 41 + p. What is the remainder when a is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7390 or 628189\/85?\nAnswer: 628189\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g. Let i(a) = a - 5*a - 3*a - 5*a. Let u(d) = -6*i(d) - 17*z(d). Let p(x) be the first derivative of -x**2 - 6. Give p(u(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 10571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235984?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63563 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 162\/5 or 32?\nAnswer: 162\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = -236. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c - 2. Let i be t(2). Let o(x) be the first derivative of x**4\/4 + 4*x**3\/3 + x**2\/2 - 2*x + 1. Determine o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 956*t - 2966*t - 9439*t.\nAnswer: -2*t**3 - 11449*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9.9 times -360\nAnswer: -3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 4) to base 14\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4285240 by 7190.\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 5 + (-11 - (-2 + 2))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, 6\/17, -1, -10?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/29687425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2994 and ((-288)\/(-126))\/((-69860)\/98).\nAnswer: 14970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 13671 - 13633, 4*p = -5*r + 96 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9643*q + 9499*q + 144 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29273000 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*y - 5 - 10, -2*v + 4*y = 18. Suppose 5*k = k - 3*p + 37, k - 2*p - 1 = 0. What is the derivative of -v + 3 + k + 5 - 13*m**2 wrt m?\nAnswer: -26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 6. Suppose -s + 2 = 0, -3*p - 4*s = s + 11. Determine x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 147083.4 minutes?\nAnswer: 102.14125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 522, 2734, 6642, 12246, 19546, 28542, 39234?\n\"Answer: 848*d**2 - 332*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 - -78. Let g(i) = 9*i + 38. Let f be g(r). Which is greater: f or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2353 and 75839?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t**2 - 6*t**2 + 30*t**2)*(-t + t + 15*t**2) as x*t**4 + g + c*t**3 + n*t**2 + o*t and give x.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - x - 7. What is the remainder when 10 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 + 0 = 0. Let o = -162 + 2269\/14. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 12. Let l be m(-9). Let y = l + 7. Suppose -4 = 2*j, 0*i = -y*i + 3*j + 22. Solve -p = p + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -2*p**3\/3 - p**2\/2 - p. Let r be d(2). Which is smaller: -10 or r?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1332, 1, -12357 in ascending order.\nAnswer: -12357, 1, 1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9762?\nAnswer: 2, 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4787510?\nAnswer: 2, 5, 7, 13, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 r when three letters picked without replacement from {u: 2, t: 4, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 5:56 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/11 and 19\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8909371?\nAnswer: 2423, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1982493 times 0.3\nAnswer: -594747.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = 5*a, -1 = -3*a + 4*u + 7. Let x be 6\/3 - -2 - a. Solve -2*s - 4 = h, -3*s - 9 = x*h + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80.43 + 81. Let y = 0.07 - o. Sort y, -2\/9, -0.4 in increasing order.\nAnswer: y, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = -2*a, 2*a - 64 = -3*a + 4*d. Let p(q) = 37*q**2 + q. Let b be p(-1). Let f = b - 24. What is the greatest common factor of a and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(468) + sqrt(468))*-6)**2 + 1*(sqrt(468) + -1))*-5.\nAnswer: -337135 + 4290*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962351 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26971 + 0.27. Round u to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*j = -1247, 0 = -2*p + 6*j - 11*j + 1249. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 + 416 - 419 - 11*k**2 + 45*k - 45*k to the form x*k + c*k**2 + d and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6388 is divided by 1858.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687399316505 - 3*b**2 - 687399316505.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6*(12\/(-14))\/((-1359)\/2114). Let f(u) = 64*u**2 - 1. Let h be f(2). Suppose p*y = -y + h. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*b - 19*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -124 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 68 = 6*p + 24, 3*j = 2*p + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 + -12 + 3*-1. Let p be 1 - (-2 - (-3 - -2)). What is the second derivative of -v*w + 3*w**p + 0*w**2 - 7*w**2 wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + ((-22)\/4 - -5))\/(6\/(-96)). Solve t*u = 6*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 16*w + 4*w - 28*w + 4*w + 2*w. Let l(v) = v. Let o(p) = -5*p. Let c(n) = 11*l(n) + 2*o(n). Give c(h(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:20 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s + 25. Suppose -5*u + 30 + 5 = 2*r, -2*u = -s*r + 15. Let t(p) = 8 - 3 + 2 - 4*p + 3*p. What is t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 2*n + 57, 5*n + 51 = o. Let k = o - -13. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(24\/7)*r*r\/((r*r\/(r*r**23))\/r) assuming r is positive.\nAnswer: r**(199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360818 is divided by 213.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 1503200?\nAnswer: -1503222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1135245041 (base 6) to base 5.\nAnswer: -11242232431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 200932438 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -33313310 (base 4) to base 6\nAnswer: -1220552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = -k. Let y(o) = 1081*o + 27. Let b be y(k). Suppose -3*x + b = -6861. Is x 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 j, 1 q, and 1 l when three letters picked without replacement from {j: 8, l: 4, q: 5}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.522 times -17\nAnswer: -8.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129249*a**3 - 103447.\nAnswer: 387747*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 6) in base 7?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**3\/6 - n**2\/2 + 2*n. Let g be f(-4). Sort g, -3, -2.\nAnswer: g, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(3\/6). Factor -1 - i**2 + a - 5 + 4*i**2.\nAnswer: 3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/100 + y**4\/12 - y**3\/5 + 37*y - 1. Factor k(p).\nAnswer: -p*(p - 3)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*x - 9. Let w be (-22)\/(-3) + x + 20\/(-6). Calculate the highest common divisor of w and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -0*f + 9, -4*r - 1 = -3*f - 0*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 - (1 + -2 + 9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*x - 7. Suppose x*u = 250 + 422. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9757593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 217c + -24?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -92566 times -1\nAnswer: 92566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 449000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 3, h: 4, i: 3}. Give prob of picking 1 q and 2 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*u - 365240 = 46*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r - 3. Let k = -3 - r. Solve k = -4*w - w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (980\/(-2205))\/(2\/117)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 5*w - 2. Let n be b(4). Suppose 3*r + 2*r = -n. Is (0 - -23) + r\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 2 - 2 + 0.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 f when four letters picked without replacement from {y: 13, f: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*m**2 + 27*m - 20*m - 8*m)*(2*m**3 + 4 - 4).\nAnswer: 234*m**5 - 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 435*x**2 + 430*x.\nAnswer: 5*x*(x - 86)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**34\/(j\/j**(-1\/4)*j)**40)\/((j\/(j\/((j\/(j**(2\/5)*j)*j)\/j)))\/j**7)**(-4\/7) assuming j is positive.\nAnswer: j**(-4488\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(10)\/sqrt(5)) + (sqrt(80) + sqrt(80) + 0 + sqrt(80))**2.\nAnswer: sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71\/4 - -115\/12. Which is the smallest value? (a) t (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10*(-3 - -2))\/1. Suppose -3*p = -4*y - 20, -y + 10 = -3*y. Suppose p = -0*c + 2*c - 20. Calculate the highest common factor of c and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - 0. Let o be (3\/(-24) - 26\/(-16))*(-8)\/18. Let b = 7 + -6. What is the closest to 2\/9 in t, b, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100110 (base 2) in base 16?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110430232 (base 5) to base 12.\nAnswer: -1b3760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15531 is divided by 2877?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -2\/3, -0.5, 22, 1\/6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*r**3 + 119*r**3 - 238*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 259237.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 = 619*c - 20753 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*k*p**2 - 4*b*k*p + 6*b*k + 46*b*p**2 + 3*b*p + 309*b + 10*p**2 + p wrt p?\nAnswer: 6*b*k + 92*b + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 5}. Give prob of sequence xjj.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-237)\/(-27) - (-6)\/27 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*l + 19, 5*l - 7 = 4*m - 22. Let t = -160382 + 160384. Solve 0 = t*y - 5*y + 12, m*h + y + 21 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46 - 2201c?\nAnswer: -22065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8962267 is divided by 1886?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 102664.\nAnswer: 513320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05737447191 rounded to 4 decimal places?\nAnswer: -0.0574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2912069582?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(304) - (-3 + 2*sqrt(304)))**2 - -1*(sqrt(190) + sqrt(190)*1*3 + sqrt(190))\/sqrt(10).\nAnswer: -115*sqrt(19) + 1565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Let u = 55 + -53. Suppose l*c - c**2 + c**2 - c**u = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 210 = -3*x. Suppose 3*k - 74 = -0*r - 4*r, 0 = -2*r + k + x. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t + 5\/6*t**3 + 0 + 1\/6*t**4 - 2*t**2. Is q(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 1668 = -14*h. Let y = -340 - h. Suppose 5*p + 4*j - 627 = 5*j, y = 4*p + 3*j. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*z + 1882 = -515 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 7 + 2. Let l(w) = 4*w - 3 - 2*w**2 - w - 1 - w**n. Is 8 a factor of l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpjhckhv. Give prob of picking 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 40*a - 59*a + 35*a to c + p*a and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17885638513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/73 and 63\/2?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2669*-13085.\nAnswer: -34923865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.851 times 0.06767\nAnswer: -0.12525717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82498 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14113795 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25932720 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -36, -65, -112, -183, -284, -421?\n\"Answer: -h**3 - 10*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 - 5*p - 61 - 2*p**3 + 63.\nAnswer: -2*p**3 - 5*p - 517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9202699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -1440, -3552, -6858, -11556?\nAnswer: -17844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4 - -3)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 24686.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25053\/4 - 6263. Let o(r) be the first derivative of 5 + 12*r**2 + 0*r + 3\/8*r**4 + k*r**6 + 9\/5*r**5 - 12*r**3. Factor o(u).\nAnswer: 3*u*(u - 1)**2*(u + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1090181\/6390 + 3083\/18. Let t = p - 5\/71. Factor 1\/5*u**2 + t + 4\/5*u.\nAnswer: (u + 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -425.6 and -0.4.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -8 (b) -0.0781 (c) 5 (d) -0.2 (e) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24180963 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27340 and 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*a**2 - 81 + 81 as x*a + n + w*a**2 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.143? (a) 5 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**6\/720 + z**5\/120 - z**4\/6 + 5*z. Let f(n) be the third derivative of m(n). Calculate f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1477.4405599 and -58.\nAnswer: -1535.4405599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1064 and 931?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**7\/70 + 3*v**5\/20 + 29*v**4\/4 - 175*v**2. Find the second derivative of x(b) wrt b.\nAnswer: 36*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 1.499054. Round w to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 859211.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802000 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*g*q**4 - 11*g*q**2 + 24*q**4 - 27*q**2 wrt q?\nAnswer: 480*g*q + 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*l - 591 - 845*l + 591 + 184*l.\nAnswer: -1258*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 163 - 1. Suppose 30*x - 438 - 151 = -79. Calculate the remainder when b is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 1, o: 1, h: 4}. What is prob of picking 1 o and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 93*j - 65 = 77*j - 225 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -8. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 + 159*u**2 + 652*u = 0 for u.\nAnswer: -4, 0, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 18 = 4*o. Let t = 9 + o. Suppose 12 = l + 3*s - 6, l + 6 = t*s. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -4*c + 761. What is the greatest common factor of 51 and c?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {j: 1, i: 1, x: 2, q: 3, b: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1620\/11 + 147. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48870 divided by -184?\nAnswer: 24435\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000896523 rounded to 7 decimal places?\nAnswer: -0.0000897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1433 divided by 830.\nAnswer: 1433\/830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -1. Let z(j) = 15*j**3 - 5*j**2 + j + 8. Let g be z(2). What is the highest common divisor of g and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from pgpmgmpmmmpmgmmpgpm?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*c + 60 = 0, 2*p + 36 = 5*p + c. Let i(t) = -p*t - 2*t**3 + 15 + t**3 + 1691*t**2 - 1679*t**2. Is 5 a factor of i(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/14 and 113\/246.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, x: 7}. Give prob of picking 3 x.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m - 9. List the prime factors of (-1 + 1)\/(-2) - m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.337 + -1508.337. What is the second smallest value in 1\/6, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -110010212?\nAnswer: -110010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 636997219 to the power of 1\/2, to the nearest integer?\nAnswer: 25239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616482.\nAnswer: 2, 3, 29, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2. Let b(a) = -2*a + 7. Let y be b(6). Let x(w) = -w + 5. Let f(v) = 2. Let q(o) = y*f(o) + 2*x(o). What is q(h(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 - 5*w - 4. Let d be x(-5). Let l be 16\/12*(29\/4 - 5). Suppose l*y - 78 - d = 0. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 12236. Let d(r) = -18*r. Calculate d(z(c)).\nAnswer: 54*c**2 + 220248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1214775 + -53?\nAnswer: 1214722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 2*m. Let u(v) = -4*v**2 - 3*v. Let x(z) = 3*t(z) - 2*u(z). Determine x(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, 0.4, 2, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:23 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19227679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d5b3a (base 14) in base 15?\nAnswer: 15c0aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/814 and 20\/2849.\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 459*c**5 - 5167*c.\nAnswer: 9180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) -3.24 (c) -6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.28 + 45.23. What is the second smallest value in -1\/4, k, -4, 32, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -10)\/(0 - (-4)\/(-6)) + 1086. Calculate the greatest common factor of s and 484.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-2)\/10)\/((-326)\/(-2445))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1685583 take away 0.0669?\nAnswer: -1685583.0669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 144. Let x(i) = 3*i**2 + i + 5. Let h(z) = 5*z**2 + z + 8. Determine n*h(u) + 8*x(u).\nAnswer: -u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.8, 122, 1\/3 in descending order.\nAnswer: 122, 1\/3, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028 minus 5.0052306034?\nAnswer: -4.9772306034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 280127527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-99)\/(-165) + (-2137)\/(-5) + 0 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:59 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 times 7?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2652.749 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 424065\nAnswer: 4\/424065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2 - 20*n. Let v(o) = 7*o**2 - 19*o. Calculate 4*v(h) - 3*z(h).\nAnswer: 7*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*l**2 - 406 - 258*l + 403*l + 5*l**5 - 75*l**3 - 10*l**4 + 256 - 75*l**3 = 0 for l.\nAnswer: -5, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/60 - 2*d**3\/5 + 14*d**2\/5 + d + 12. Solve t(q) = 0.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053048 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*m - 20 = t, -20 = 3*t - 4*m. Solve t = -8*o + 3*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -5, 2\/9, 85?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 26*w)*(1 - 1 + w**4) + 53*w**3 + 2*w**2 - 3*w**5 + 49*w**3 - 101*w**3.\nAnswer: -29*w**5 + w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 21*a**2 + 40*a + 40. Let u be j(-19). Find w such that -2\/5*w**3 - 2\/5*w + 4\/5*w**u + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 - 88 - (77 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149.4, -0.5, 103 in increasing order.\nAnswer: -0.5, 103, 149.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**2 - 6*u - 21. Let n(s) = -2*s**2. Give b(n(g)).\nAnswer: 4*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 513071, 513070, 513069, 513068, 513067, 513066?\nAnswer: 513065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (64806\/38575)\/((-2)\/(-50))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -23, 3.11, 201?\nAnswer: 3.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 2*v + 2 = 0, -6*k + 3*v - 22*v = 19 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29.06027 years?\nAnswer: 0.2906027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 17*s + 11. Calculate b(14).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*l + 285*l + 22*l - 19*l.\nAnswer: 179*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.011 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10068, -10074, -10084, -10098, -10116, -10138?\n\"Answer: -2*m**2 - 10066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c**2 + 9*c**2 + 13*c**2)*(-16*c**2 - 4*c**2 + 5*c**2) + 3*c - 3*c - 2*c**4.\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216 - -350. Let w = 134 + 337. Let c = w - i. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2862)\/(-234) + (-11)\/1?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 3*q + 0*q)*(-162 - 169 + 302) to the form h*q + i and give h.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*z + 4, 1018 - 1028 = -4*x - 2*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*o**3 + 0*o**3 - 4*o**3 - 4*o wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/128)\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + 12*a + 2. Let w be o(-4). Suppose -2*y + w*c - 19 + 69 = 0, -4*y + 120 = c. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 1085 = 595. Solve -d = -20*s - 15*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73371130 divided by -490\nAnswer: -149737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 51.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 36*u + 178 + 398 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:40 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 1348*b**3 + 2688*b**2 - 5392*b - 10768.\nAnswer: (b - 2)*(b + 2)**2*(b + 1346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -29. Let l be (-3)\/(-3)*8 - q. Let s be (l\/(-627))\/(2\/(-18)). Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30342020 (base 5) to base 8.\nAnswer: 741356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1034, -1\/16, -5, -1\/10, 1\/3 in descending order.\nAnswer: 1\/3, -1\/16, -1\/10, -5, -1034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -39. Is (-4)\/(-24) + (-332)\/j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwvv when four letters picked without replacement from kvmvvmkmwvmwmvvmmwk?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134777 is divided by 67384.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from hilllliilijjiili?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/2 + 3978551*o**3\/2 + 5967831*o**2 + 2*o - 7957108 = 0. What is o?\nAnswer: -2, 1, 3978554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127043582 and 1058.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1933 (base 10) to base 13\nAnswer: b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 40 = -r, 0 = -5*r + 2*f + 4 + 277. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -740.\nAnswer: -1\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 8 (b) -0.69 (c) 10 (d) 8\/3 (e) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, r: 3, w: 2, u: 1}. What is prob of picking 1 r and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 71, -1 in descending order.\nAnswer: 71, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2684)\/(-10) + (-112)\/280 and 10?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 1. Let n(m) = 1148*m**2 - 28*m - 14. What is -14*c(p) + n(p)?\nAnswer: 1148*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-9)\/(36\/(-16)). Differentiate 28*s**2 + 12 - 5 - 16*s**f wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3026 and 113\/483804.\nAnswer: 8224668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1855\/3, -2, -1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23251 + -23255. Which is the nearest to 9\/10? (a) -21 (b) 0 (c) -5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dud when three letters picked without replacement from {u: 6, r: 1, d: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*g = 66*g + 229*g - 16100 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 + 0 = 0. Let r(q) = k*q + 5*q - 3*q - q. Let t(f) = -f. What is r(t(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 32.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-3)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 s when four letters picked without replacement from {y: 5, s: 9, i: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2 + 2 + 3*g - 3*g - g + (1 - 4 + 2)*(g + 4*g - 3*g) - 7*g + 16*g + 21*g.\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*a = 5*a - 20, -3*c + a + 13 = 0. Suppose j + 136 = c*j. Let p = j - 18. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2758 + -2714. Sort -2, 3, u.\nAnswer: -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 3*y - i = -15, -5*y - 4 = -7*y - 2*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-1 - -6)*(-118)\/295). Let b(o) = 3*o - 358 + 2*o**2 - 372 - o**2. Let i be b(v). 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: 4 times 1.0688\nAnswer: 4.2752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiigiiiiiii?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -8. Suppose 6*m - m = v. Factor 6 - 4*s - m*s**2 - 5 - 1.\nAnswer: -2*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 4}. What is prob of sequence yyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) -1.862 (c) 3\/4 (d) -4 (e) 1 (f) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 813 + 2925. Let o = -337 - l. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**3 - 1. Let f be x(1). Suppose 0 = -4*t - 2*l - 12 + 40, -20 = -5*l. Solve t*i = -4*s - 30, -5*s + f*i - 5 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11389, -11393, -11397?\nAnswer: -11401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n - 5*n + 10*n + 2 + 1102*n**2. Let i be p(-2). Suppose 0*a + i = 6*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44031 (base 6) to base 5.\nAnswer: -143232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1052015, 2104028, 3156041, 4208054, 5260067?\n\"Answer: 1052013*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/73)\/h**3 assuming h is positive.\nAnswer: h**(-217\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/8296 and -73\/62220.\nAnswer: 124440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -9 + 17. Let w be 3913\/(-63) + g\/(-9). Is w != -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 942*p - 942*p - 459*p**3.\nAnswer: -459*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f - 8*f + 8 + 35*f - 9*f - 3*f. Let g(q) = -3*q**3 - q**2. Let m be g(1). Give x(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/10?\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and (0 + 7)\/(-1)*(-12 + 8).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771258873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -47*n + 0*n + 100*n - 52*n. Let a(b) = -2*b - 1. Let s(p) = 3*p + 1. Let m(k) = 5*a(k) + 3*s(k). Determine 2*d(r) + m(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {b: 5, g: 14}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-27)*12\/16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, n: 14}. Give prob of picking 2 n.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 8*d - 8*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -19, -52, -121, -238, -415?\n\"Answer: -2*w**3 + 5*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 709, -154, -2\/5, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45472246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 7. Determine t(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94702896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.949215 to 2 decimal places.\nAnswer: 2.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 + -40.8. Let y = d + 36.1. What is the nearest to 2 in y, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -179 and 60\/43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/3 + 4\/12. Suppose 0 = -4*h - z - 6. Let j = 9 + h. Let g(n) = -n + 1. Calculate g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1208 and 0.2389958?\nAnswer: 1207.7610042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 61 + 5 = -5*u, -20 = -3*q + 4*u. Solve -4 = -w + q*z - 7*z, -2*z = -3*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-3*(-13)\/(-195))\/(1\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + -1 + 3 + 51 + -14 + -29?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*a - 5 = -4, 1 = t + 2*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = -2*o + 44. Suppose o*r = -5*z + 26, -3*z + 10 = r - 0*z. Let w(k) be the third derivative of -k**5\/60 + k**4\/4 - k**3\/2 - 4*k**2. Determine w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**6\/2 - 3*g**5 + 9*g**4\/2 + 4*g**3 - 12*g**2 - 2. Determine p so that t(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*r - 495*r - 434*r = 197*r - 51723 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - p**2 + 3. Let f be z(-3). Suppose 4*r - f = 3. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 123, 125, 127, 129?\n\"Answer: 2*l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 35. Let s be r(-11). Let i(q) = q**2 - 2*q - 8. Let x be i(6). What is the units digit of s*2\/x*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 840222244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36496737 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21405*g**5 - 214060*g**4 + 44950400*g**3 + 963246000*g**2 + 450000*g = 0. What is g?\nAnswer: -30, -2\/4281, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/(-123))*(-31)\/(2232\/16).\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 70*v + 449. Let m(g) = -27*g - 180. What is -5*d(t) - 13*m(t)?\nAnswer: t + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -14. Let v be w\/(-9) + (-33)\/(-9). Let f(u) = -u + 1. Give f(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3861445 and 7105.\nAnswer: 111981905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2706, -5294, -7880, -10464?\nAnswer: -13046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26945.06 + -26892. Round b to 0 dps.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269.9 + 272.9. What is the closest to 2.7 in m, 2\/5, 0.03?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20336722*-5.\nAnswer: 101683610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)\/(0 - 1). Let k = -4.4368 - -0.4368. Let f = 83\/10 - 8. Which is the fourth smallest value? (a) k (b) 2\/5 (c) m (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 22*c + 4. What is the lowest common multiple of a(-22) and 1*21 + (-1 - -2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 26*s**2\/3 - 46*s\/3 + 22\/3.\nAnswer: -2*(s - 11)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.79 and 363753.473.\nAnswer: 363754.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -14. Let t(y) = y - 14. Let l(s) = 6*m(s) - 5*t(s). Give l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81198.28nm in kilometers?\nAnswer: 0.00000008119828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 2533008*u**2.\nAnswer: -4*u**2*(u - 633252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnmnmnnmnmnn. Give prob of picking 2 n and 2 m.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 8 = 5. Which is the third biggest value? (a) -38 (b) m (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1325284314 and 1325284314 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -587*o**2 - 72*o**2 + 318*o**2 to h + b*o**2 + n*o and give b.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 19*g**5\/10 + g**4\/12 - g**3\/6 + 3*g**2. Is s(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p - 6*p)*(12*p**3 + 2*p**3 - 3*p**3) - p**4 + 5*p**4 - 5*p**4.\nAnswer: -89*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51886, 103778, 155668, 207556, 259442?\n\"Answer: -z**2 + 51895*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 5*r - 2. Let v be i(-3). Let g be (v*3)\/(6\/(-15)). Let q = -4 - g. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 (base 5) in base 14?\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -6190.\nAnswer: 557.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**3 + 13*z**4 - 7*z**3 + z**4 + 0 + 0 + 90*z**4 - 157*z**2 + 157*z**2 + (z + 0 + 0)*(z**3 + 0*z**2 + 0*z**2) - 2*z**4 + z - z + z**2 + z**4 - z**2.\nAnswer: 104*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (-108 - -116) - (16 - 12)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-280261)\/1809 - 6\/81. Put -2, -15, 2, x in ascending order.\nAnswer: x, -15, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1541 + 1540. What is the third smallest value in p, -7, -4\/7, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.081 - -2.0809688. Round p to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368\/874 + 214125\/4750\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -29*l**2 - 21. Let b(r) = -12583 - 12593 + 3*r**2 + 25176. Calculate b(h(y)).\nAnswer: 2523*y**4 + 3654*y**2 + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 61. Let m(g) = -g**2 - 20. Let k(d) = 7*m(d) + 2*n(d). What is the derivative of k(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**3 - 86*l**3 - 21*l**3 + 2*l.\nAnswer: -82*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -14. Suppose 65 = -7*p + u*p. What is the remainder when p is divided by (17 + (-3250)\/182)\/((-4)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*t + 73 = -t, 0 = 3*p + t - 217. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**10)\/t*t)**32 assuming t is positive.\nAnswer: t**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-162)*3*129\/86?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What comes next: 1711, 6936, 15641, 27826?\nAnswer: 43491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2230, -2239, -2248, -2257, -2266, -2275?\nAnswer: -2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1287 + -537. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16936, -33902, -50878, -67864?\n\"Answer: -5*m**2 - 16951*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 565817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 1387 = -314. Solve 2*m - b*o + 36*o = -9, 0 = m + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -248 - 2*u + u + 243 + 0*u. Let c be 6 + 1 + -1 - 2. Determine z(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89, -4002, -17241, -45302, -93681, -167874?\n\"Answer: -916*d**3 + 833*d**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 + 1. Let u(c) = -2*c**2 + 0*c**2 + 3 - 2*c**2 - 2. Let i be ((-3)\/2)\/((-2)\/(-4)). Let m(t) = i*a(t) + 2*u(t). Solve m(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p. Let h(r) be the second derivative of -2*r**3\/3 - 3*r + 9. Give j(h(m)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6661 divided by 1\nAnswer: -6661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -172, -371, -596, -853, -1148?\n\"Answer: -k**3 - 7*k**2 - 171*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.2. Suppose -3*i - 2*t = 20, 5*i + t + 65 = 34. What is the nearest to p in i, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020 (base 4) in base 12?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3987 - -0.6987. Let a = -1.4 + -0.6. Let y = -6 + 9. What is the closest to -1\/5 in y, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {y: 1, o: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (982 - -16)*1\/(-2). Let d = 548 + z. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/60 - n**4\/6 + n**3 + 8*n**2. What are the prime factors of b(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p = 263 + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.5 - -29.55. What is i rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 0*a**3 + 25*a**3 - 24*a**3 + 2*a - 178 in the form p + t*a**2 + h*a**3 + b*a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 - 11746*j**2 - 1637686*j - 57779942 = 0. Calculate j.\nAnswer: -5731, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + f - 2*f + (-3 - 5 + 2)*(-9*f + f - 3*f).\nAnswer: 70*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 - 252*w**4 + 3836*w**3 + 748*w**2 - 11040*w - 7696 = 0. What is w?\nAnswer: -1, 2, 26, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bb + -18a?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*s = 255*s + 2*o + 8, 5*s + 2*o = -24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*s + 154*s - 12 = 0. Let p(y) = y**3 + 6*y**2 + 3*y + 4. Calculate the lowest common multiple of p(-4) and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 2*y**2 - 8. Let b(p) = p**3 - 1. Give -6*b(r) + h(r).\nAnswer: -r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000888 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 greater than -8.469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 - 1. Let w be r(-1). Suppose 0 = -w*y + 3*a - 2*a + 51, -2*a = y - 28. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255964, -256046, -256208, -256486, -256916?\nAnswer: -257534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j + 52. Let h be x(6). Suppose -2*z + 4*b - 6 + 2 = 0, -2*b + 2 = h*z. Suppose -q - 5*f = q - 348, z = -3*f. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0363, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*p**2\/9 + 257020*p\/9 - 73432\/9.\nAnswer: -4*(p - 9179)*(7*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 - 231\/2. Let h = b + -14\/3. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -320*g**2 + 497344080*g - 193243073368005.\nAnswer: -5*(8*g - 6216801)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 37*m - 6. Let z(s) = -2*s**2. Calculate z(k(c)).\nAnswer: -2738*c**2 + 888*c - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 4*x**2 + 16*x - 44. What are the prime factors of j(12)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (5653\/45 - -3) - -3. Let a = -667\/5 - q. What is the common denominator of a and 25\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3 + 12. Let x = -3 + 8. Let l(b) = b**3 - 5*b**2 - 4. Let m(k) = -k**3 + 5*k**2 + 3. Let s(y) = x*l(y) + 6*m(y). Calculate s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4\/3 + 26*p**3\/3 + 37*p**2 + 42*p = 0.\nAnswer: -21, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -521 - -521. Suppose 0 - 5 = -5*k, x = 2*j + k - 29. Solve -3*v + 11 = j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*x = -80*x - 76*x + 2433. Calculate the remainder when x is divided by 117.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -4, 2\/5, 1 in descending order.\nAnswer: 1, 2\/5, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9 = y, 0 = -5013*z + 5015*z + y - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9352872012 take away -0.3?\nAnswer: -9352872011.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1859610 divided by -5.\nAnswer: 371922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h - 3. Let c be s(3). Suppose 3*z + u + 6 = c, -2*z + 6 = 2*u. Let w(b) = -646*b + z*b**2 + 646*b. Let f(y) = -12*y**2. Calculate w(f(j)).\nAnswer: 432*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72.4 + -72.5. Let p = -14 - -14. What is the third smallest value in -11, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.29 + 20.58. Let d = -0.29 + c. Let j = 7.0007 - d. Round j to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52241 and 4.\nAnswer: 208964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -39 + 29. Suppose -n*k - 36 = 164. Let f be 20*k\/5*1\/(-10). Solve 0*i + f = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 + 7*h + 1. Give q(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**2 + 5*t + 8. Give k(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -21*g**6 + 9*g**5 + 9*g**4 - 11*g**2 - 9. Let v(b) = -b**6 + b**5 + b**4 - 1. Let f(z) = -18*v(z) + 2*y(z). Find the third derivative of f(i) wrt i.\nAnswer: -2880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from {a: 2, i: 4, m: 1, d: 1, x: 2, u: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131946*p**2 - 246506*p**2 - 254341*p**2 + 143537*p**2.\nAnswer: -489256*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 1 - (845\/(-345) + 4) and (-615)\/(-35)*1\/3.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s + l = 3643995, 10 = -2*l. Round s to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3) + 3)*(-1)\/4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760967493 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 4 = -19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*m = h - 15, -4*m = 12. Is 19 a factor of ((-9)\/h)\/(6\/104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = 2*x - 3, -2*m = 2*x - 2. Suppose 50 = 5*l + 4*d + 12, l - 2 = 2*d. Solve 3*c + 3*h = x, -l*c + 3*c + 16 = -h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -484, 271, -5 in descending order.\nAnswer: 271, -5, -484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 39 + 29 = 4*g, -5*g + 89 = 4*r. Let h be (-10 + 1)\/(18 - g). Suppose 146 = 4*o + w + w, 24 = o + h*w. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n. Let y = -2 - -9. Let x(f) = -y*f - 2*f + 9*f - 3*f. Determine s(x(h)).\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 7\/2, -4\/3, 4\/3, 0.03 in descending order.\nAnswer: 7\/2, 4\/3, 0.03, -1\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 552200555 (base 6) in base 5?\nAnswer: 10014004324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 16. Which is the nearest to -2\/3? (a) 3 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24971074 - -0.3.\nAnswer: 24971074.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151526 + -4?\nAnswer: 151522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/45)*u*u**(9\/5)*u**(5\/11)*(u\/(u*u\/u**(-1\/7)))\/u assuming u is positive.\nAnswer: u**(3929\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 7*k - 6. Let a(l) = l**2 - 6*l - 1. Let p be a(3). Let z = p + 15. Let t be r(z). What is the biggest value in t, -2, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 4}. What is prob of sequence zz?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 3*l - 3*l + 3*l + 2*l + l - 2*l + 0*l + (0 + 5 - 3)*(-3*l - 2*l + 4*l) + 0*l + 0*l - l)*(-1 - l + 1)*(-6*l**2 + l**2 - 11*l**2).\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.113 - 1.012. Let p = -0.125 - c. What is the second biggest value in -0.5, 0.1, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 115130264*y + 828436105544356.\nAnswer: 4*(y + 14391283)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/25 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010001 + 10011001111001?\nAnswer: 10010110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3210711, 3210746, 3210805, 3210888, 3210995, 3211126?\n\"Answer: 12*m**2 - m + 3210700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s, 7 = 2*a + a - s. Suppose -112 = 4*b + a*c, -1 = 3*c - 4. Let q = b - -182. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*-1)**2*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 15*l**2 - 17*l - 54. What are the prime factors of x(-8)?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 81 = -5*n, 3*n + 7 = 15*d - 12 - 14 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -876 + 146?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321874949.\nAnswer: 11, 23, 1272233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -y + 139, -5*g + 16 + 9 = 0. What are the prime factors of y?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310816?\nAnswer: 2, 11, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 14. Let r be f(11). Solve -m + 2*m = -r*w - 3, 0 = -4*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/6389 + -721917\/127780. Calculate the common denominator of u and 6 - 40\/1728*8253\/30.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1498*u - 1092 - 2923 = 696 + 1281 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349 + -20684.1.\nAnswer: -20335.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 3*n**2 + 321*n + 1263. Let c be y(-4). What is the closest to -72 in c, 1\/5, 1\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j. Suppose w + 5*l - 25 = j, -1 = 2*w - 3*l + 14. Suppose -4*d + 8 = -r, w*d - 3*d + 4*r = 7. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -7, -112, -4\/3, 0.\nAnswer: -112, -7, -4\/3, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*y + z, 37*y + 2*z - 15 = 40*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35069280.\nAnswer: 2, 3, 5, 73061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 24*d - 7. Determine l(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 7, -1, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1280 - 724. Find the third derivative of 9*o**2 + o**4 + 565*o**6 - o**4 - h*o**6 wrt o.\nAnswer: 1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -67*c**3\/3 + c**2 - 3*c. Let q(w) be the third derivative of w**5\/60 + 563*w**2 + 4*w. Give h(q(u)).\nAnswer: -134*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -15 + 6 + 30 - 43?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13348140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (4 - 0) + -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -4. Let w = 2 + c. Solve w = -t + 5 - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-2 - -1) + (74 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0 - 14. Suppose -38*s = -37*s - 4. Suppose s*n + 36 = 4. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/4 (b) 0.3 (c) -81 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 30. Suppose 49736 - 13321 = 4*g + 5*q, 0 = -s*g - 2*q + 18206. What is g rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*z + 34 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13413 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(180) - (sqrt(180) + -1)) + sqrt(5) + sqrt(5))**2 - (sqrt(180) + sqrt(20))\/sqrt(4)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 2*m**5 + 2*m + 2 + (-3*m**2 + 0*m + 0*m)*(-4*m**3 + 0*m + 0*m).\nAnswer: 10*m**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 15 = -2*b - y, 4*b - 5*y + 105 = 0. Let q = b - -30. Solve 5*v = -0*v + q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -924, -1816, -3556, -6426, -10708, -16684?\nAnswer: -24636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7018*h**2 - 7022*h**2 + 14036*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4 = 5*t + 6, 0 = -t + 3*a - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2939202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9930*p + 54957*p - 13187*p)*(p + 2*p - p + (-3 + 5 + 0)*(p + 1 - 1) - p + 5*p - 3*p).\nAnswer: 159200*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 4*h)*(-15 + 4 + 26)*(4 + 0 - 2) - 4*h + 2*h + h in the form z*h + k and give z.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -480.28 - -0.31.\nAnswer: -479.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 71 = -3*o + 104 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 63. Let h be u(10). Factor 79*y - 6*y**3 + 3*y**4 - 2*y**2 - h*y - y**4.\nAnswer: 2*y*(y - 3)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5589080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 2*j + 1. Let i(f) = -6*f**2 + 997*f - 4. Give -i(m) - 4*k(m).\nAnswer: 2*m**2 - 989*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*n = 758*n + 803*n + 429*n - 23506 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 7*m**2 - 5*m + 5. Let q be h(6). Let b be (51\/(-34))\/((-157)\/154 + 1). What is the greatest common divisor of q and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3398 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 190\/11*c + 92\/11*c**2 + 96\/11 - 2\/11*c**3.\nAnswer: -2*(c - 48)*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/t**(2\/9)))**(-2\/3))**(-25))**36)**(12\/11) assuming t is positive.\nAnswer: t**(1600\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a. Let t(s) = -174840931*s + 1. What is t(c(x))?\nAnswer: -524522793*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14530530 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*b**3\/9 - 1726*b**2\/9 + 3920*b\/9 - 872\/9 = 0. Calculate b.\nAnswer: -218, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 11 = 340*w - 345*w, -2*w - 3*p = 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2745 (base 8) to base 4.\nAnswer: 113211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = 3*l - 36 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9492 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2447?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) -5 (b) 0.2 (c) 858 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -249129.78 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-4))\/(-3)*(-8)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121299, 121276, 121249, 121218, 121183, 121144?\nAnswer: 121101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18331 - 10183. Is k a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**4\/24 - 268*d**2. Let i(h) = -140*h**2. Calculate a(i(c)).\nAnswer: -140*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -60.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z - 56. Calculate u(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*l + 75. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45)\/3)\/((-6)\/4). Let n be 186\/t + (-2)\/(-5). Let d = n + -10. What is the smallest common multiple of 2 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*y = 2*g - 45, -4*g = 4*y - 64. Calculate the remainder when 53 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5711860 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5323 rounded to 2 decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t**2 - 74*t - 2. Give n(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 11*z + 5. Let n be i(9). Suppose -n*y + 18*y = 0. Suppose 4*a + 32 - 1204 = y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.2 and 50599.\nAnswer: -414911.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m - 3. Let l(t) = -20*t - 15. Let w(y) = 11*c(y) - 2*l(y). Let k(b) = -9*b + 13. Let g(z) = -2*z + 3. Let x(q) = -26*g(q) + 6*k(q). Give w(x(n)).\nAnswer: 8*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 20789725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/7)*n)\/(n**(-25)*n)*(n\/n**(3\/22))\/(n\/(n*n\/(n**10\/n))))**(-23\/2) assuming n is positive.\nAnswer: n**(-62767\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/5 (b) 1.0134 (c) -2 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/444 and ((-445)\/60 - -10) + -7?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2062 + 2080.084. Round o to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -t - 13, 0*t - 2*t = 5*i - 4. Suppose -4*j - y = -8*j + 10, 0 = -i*y + 4. Let n = -2 + 4. Solve 0 = -n*q - j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2854 bigger than 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 13452165*n**2 + 15080122466829*n + 135720012578283.\nAnswer: 3*(n + 9)*(n + 2242023)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7381 is divided by 528.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*n**4\/15 - 44512*n**3\/15 - 2222*n**2 - 2082*n\/5.\nAnswer: -2*n*(n + 347)*(8*n + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3820508 minutes in days?\nAnswer: 0.0009597575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*m**2 - 15283*d**2*m**2 + 296*d*m - 3*d - 2*m**2 - 1 wrt d?\nAnswer: -12*d*m**2 - 30566*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 8*b - 311. Solve -n + 1 + 4 = 0, 5*w + b = 5*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 209 - 2*h - 479 + 242. Give f(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 30*g**2 - 6*g + 23. Let s be z(3). Suppose -5*u + 765 = s. Let o = u - -63. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1553\/3106)\/((-1)\/2))\/((-76)\/(-4)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415309 is divided by 198.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*h - 2*s + 10 = -701*h, -2*s + 15 = 7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*f + 24 = 3*z, -5*z + 53 = 4*f. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**2 - s**2 + 2*s**2 + (4 + 1 + 2*s + 4)*(0*s + 4*s - 3*s) to the form v*s + k + a*s**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from ccctgcccgc.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 704532 + -12686287\/18. Let k = j + 1555\/6. What is the common denominator of -29\/9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 5*v. Let r(b) = -b**2 + b - 1. Let j(k) = 3*k**2 - 4*k - 2. Let q(d) = j(d) - 2*r(d). Let g = -17 - -11. What is g*s(a) + 5*q(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninpnninnnppi. What is prob of picking 1 i and 1 p?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1598 - n + 1519 + 3874 - 313 to k*n + x and give x.\nAnswer: 6678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + -1*(sqrt(204)*1 - sqrt(204)))\/(-1*sqrt(768)) + sqrt(68)*-1*-4 + -6*(sqrt(68) + sqrt(68) + 1) + 3 + 5.\nAnswer: -65*sqrt(17)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (-6*(1 + sqrt(2736)))**2) + (2 + (sqrt(2736) + 0 - sqrt(2736)) - sqrt(2736)) + 2*(-3*(sqrt(931) + -2))**2*-1.\nAnswer: -115360 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*y**2 + 3276*n**2 + 1900*n*y + y**2 - y wrt n?\nAnswer: -2*y**2 + 6552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24496.5546 rounded to the nearest ten?\nAnswer: -24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 2*t + 3. Let c be g(3). Suppose -j = 0, 0 = x - c*x + 4*j + 46. Let u = 74 + x. What is the remainder when 82 is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x + 5*c = 15, -5*x = 3*c - 17. Let z = -24 + 44. Solve -x*d = d - z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)*s**2\/s)\/(s**(-3)*s**(2\/21)))\/((s*(s\/(s\/s**2))\/s)**24\/((s*s*s**3*s)\/s**(-2\/11))) assuming s is positive.\nAnswer: s**(-10606\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13175 + 13289. What is the remainder when 934 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1210490, -5 in decreasing order.\nAnswer: 2, -5, -1210490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -30. Suppose -z = -0*z - i + 3, -5*i + p = 4*z. Suppose -5*g + 192 - 12 = z. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 13) + 7 - -16. Solve 4*n + 1 = -10*g + 5*g, 2*n + g + v = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*i + i + 2, -i = 4*r - 6. Suppose -o - i*o = 3*c - 78, 61 = 2*c + 5*o. Solve -15 = 5*b - 5*z, z + 0*z = 5*b + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11793 + 636863\/54. Calculate the common denominator of p and 131\/1314.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273051272 by -136525636.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 19*v. Let o(g) be the second derivative of 59*g**3\/6 + 8*g + 63. Determine n(o(u)).\nAnswer: -10443*u**2 + 1121*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**2 + 2 - 3*y - 3*y + 3*y**3 + 6*y + 5*y wrt y.\nAnswer: 18*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(-3)))\/(((j**(1\/8)*j)\/j)\/j))\/((j\/(j\/j**8))\/(j**(-2\/13)*j*j))*(j\/(j**(-2\/35)\/j)*j**2)\/(j\/j**(-8)*j\/(j**(-4)\/j)) assuming j is positive.\nAnswer: j**(-51767\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -151c38 (base 13) to base 4\nAnswer: -1332203202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 8:51 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 29*j**2 - 40*j**3 - 24*j**2.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-11)\/(-44)*12. Suppose -12 = -2*q + 4. Suppose 2*r = -6 + q. Calculate the highest common factor of a and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -61\/3. Let k = 67.9 + -68. Which is the third smallest value? (a) s (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b**2*t*x - 3*b**2*t + b*t*x + 2*t*x + 987*t - 2*x with respect to b.\nAnswer: 18*b*t*x - 6*b*t + t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9\/2)*g**14 assuming g is positive.\nAnswer: g**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 3*s)*(-6 + 1 + 4) + (0 + 0 - 2*s)*(-2 - 3 + 3).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:34 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13)\/o)**(-2\/85)\/(o*(o*(o\/((o**(-1\/14)\/o)\/o)*o*o*o)\/o)\/o*o**(3\/8)) assuming o is positive.\nAnswer: o**(-79445\/12376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 90.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16395?\nAnswer: 3, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.3.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h. Let m(i) = -2*i + 87. Calculate k(m(p)).\nAnswer: 8*p - 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-9))\/(1*5)*1815\/726\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**8\/1680 + f**7\/525 - f**6\/300 - 2*f**5\/75 - 7*f**4\/120 - f**3\/15 + 46*f**2 - f. Factor m(j).\nAnswer: (j - 2)*(j + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 23?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1.9. Let f be (-5)\/30*(-1 - -3). Which is the biggest value? (a) -5 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*((1 + 1 + 0)*(j**5 - j**5 - j**5) + j**5 - 6*j**5 + 0*j**5).\nAnswer: -21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 + 85*d + 79. Calculate y(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:21 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.6 + 10.6. What is the fourth biggest value in n, -4, -2\/9, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0, -15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2154 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67112 divided by -22.\nAnswer: 33556\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - -152. What is the highest common factor of 43 and j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903493.1ng to grams.\nAnswer: 0.0009034931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -30097 + 138610. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2362432.3+-25\nAnswer: 2362407.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (18 - 476\/36 - 18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8\/9)\/i*i*(i\/i**(-1\/7))\/i assuming i is positive.\nAnswer: i**(-47\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/100? (a) -5\/4 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -3*y**5\/5 - 3*y**4\/4 - y**3\/3 - 5*y**2\/2 + 2*y. Let v be p(-4). Let x = 1114 - v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -28.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 375724 at most as big as 375647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12880 by -3220.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:16 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/(-1472)*16\/46.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b**3 - b**2 - b. Suppose 6*a - 4*a = 0. Let q(o) = o**3 - o**2 - o - 1. Let i be q(a). What is the remainder when 35 is divided by z(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g = -29. Suppose -y + 6 = 2*y. Suppose 2*o + 5*a - 32 = 0, -y*o + 0*a + 32 = -4*a. Calculate the remainder when g is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6910 - 6932. What is the fourth smallest value in 0, -2\/7, 1\/30, g?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:53 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/8 and 9\/3010.\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5589895 and -32\/245.\nAnswer: 273904855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1326 + 1956. What is the least common multiple of d and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153086 - 100577558\/657. Find the common denominator of a and -17\/18.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.44? (a) -34 (b) -3 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50\/9 + -191\/36. Which is the closest to -0.07? (a) -5\/3 (b) -2 (c) 2\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czzx when four letters picked without replacement from {z: 12, x: 6, c: 1}.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 2*j + 48, 741*j - 24 = 737*j - 4*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -29. Suppose 0 = 2*j - z, 2 = 4*j + 3*z - 8. Which is the closest to j? (a) -0.5 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 + 11 = 0. Let l = 3.8 - 3. Let j = -1 + l. Which is the second smallest value? (a) j (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.41 - 16.41. Which is the smallest value? (a) -1\/656 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 1\/2, -0.119, -2\/3, 4\/9, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -109 (b) -0.2 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18340, 73275, 164834, 293017, 457824, 659255, 897310?\n\"Answer: 18312*h**2 - h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-31915.\nAnswer: -25532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(x - 2*x + 2*x) - 16 - 6 + 20 - 29*x.\nAnswer: -25*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 310548 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -27, -849 in descending order.\nAnswer: -3, -27, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -5, 4, -33, -37 in descending order.\nAnswer: 5, 4, -2, -5, -33, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2343*t - 972683 + 972683 to p + d*t and give d.\nAnswer: 2343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 721 - 508. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 28. Solve -3*n - 2 = -p - 0*n, 0 = -h*p + 2*n - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502903420?\nAnswer: 2, 5, 19, 3955009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*4)\/(-4*sqrt(80) + sqrt(80)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -5*y. Suppose 4*q = 3*q + y. Suppose -2\/7*d + 2\/7*d**3 + 2\/7 - 2\/7*d**q = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23487*t*y**2 - 2*t - 398*y**2 + 14*y wrt t?\nAnswer: -23487*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7863?\nAnswer: 3, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 5:39 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/2*8\/12. Sort -1, 6, l.\nAnswer: l, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + h**2 - 4*h + 3. Let i be u(2). Let w = i - 9. Let c be ((-16)\/24)\/(2\/w). Let g(s) = s + 3. Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 40 = 4*s, -5*k + k + 16 = 0. Let m = s - 9. Let i(d) = -d - 2. Let r(v) = 2*v + 7. What is m*r(x) - 7*i(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 7. Let y = -4 - q. Let h = 11 - y. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**3\/3 - 166*m + 765. Let q(t) = -12*t**2. Calculate p(q(z)).\nAnswer: -144*z**4 - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**8\/7560 + h**7\/1260 + h**6\/810 - h**3 - 5. Let a(b) be the third derivative of y(b). Factor a(u).\nAnswer: 2*u**2*(u + 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f. Let s(b) = 2*b**2 - 7*b - 13. Let t be s(5). Let z(a) = 36 + 0*a**2 + a**t - 45. Determine z(k(y)).\nAnswer: 4*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49192)\/2180100*13\/(-3) + (4\/18)\/(-2)?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7762650 and -2.\nAnswer: -15525300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 596 + -596.289. Let m = -3.289 - b. What is the smallest value in 3\/8, 0.12, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -519654863, -1039309725, -1558964589, -2078619455, -2598274323, -3117929193, -3637584065?\n\"Answer: -a**2 - 519654859*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73294 and 767?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 14 + 8*f**2 + 30 - 6*f - 6 - 3. What is the remainder when g(5) is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40 + 1107076?\nAnswer: 1107036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 14\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/10 + 4*w**3\/5 - 12*w**2\/5 + 16*w\/5 - 7. Factor z(j).\nAnswer: -2*(j - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/9 (c) 1\/5 (d) 58\/9 (e) 4 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.3 and 14.\nAnswer: -60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (46425\/20 - -11) + (-3)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/5, 0.07, 2, 76.\nAnswer: -5, 0.07, 2\/5, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:34 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 61 = -5*c. Suppose -4442 + 1516 = -c*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 94412*k\/3 - 1114203218\/3.\nAnswer: -2*(k - 23603)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 491*j - 137*j - 186*j - 1512 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59288 - 59286. Suppose 2*t - 3*t = -3*v + 33, 0 = 4*t - 4*v + 108. Let p be ((-4)\/(-2) - 2)\/(-2). Put p, t, f in descending order.\nAnswer: f, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453732 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 1. Let q(p) = 0*p**2 + 2*p - 6 + 9 + p**2. Calculate the smallest common multiple of s(2) and q(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3 = 5*b - 20, -1 = -15*b + 10*b + 6*b for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**5\/5 - 146*m**4\/5 - 3338*m**3\/5 - 24398*m**2\/5 - 51956*m\/5 - 30752\/5 = 0.\nAnswer: -31, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5257, -15269, -34799, -68605, -121445, -198077, -303259?\n\"Answer: -793*z**3 - z**2 - 4458*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 89.72577mm?\nAnswer: 8.972577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21430156 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y*y*y**1\/y*(y**0*y)**29)**14 assuming y is positive.\nAnswer: y**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4507, 9523, 14549, 19591, 24655, 29747, 34873, 40039?\n\"Answer: r**3 - r**2 + 5012*r - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 6*q + 5. Let z be g(6). Let s be (63\/12)\/((-3)\/(-24)*3). Suppose -2*j - 240 = -5*u, -85 + s = -u + z*j. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-108)\/6)\/((72\/96)\/(3\/(-8))). Solve -b = -713*v + 710*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6\/7, 3, 2\/17, -3, -1304 in increasing order.\nAnswer: -1304, -3, -0.2, 2\/17, 6\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 3*n**4 - 75*n**2 - 850 + 412 + 65*n + 418 + 35*n**3.\nAnswer: -5*(n - 4)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l - 24*l + 7*l - 2*l + 0 + 0 + (1 + 0 + 1)*(2*l + 4*l - 7*l) + 0*l - l + 0*l + (3*l + 0*l - l)*(1 + 1 - 5).\nAnswer: -35*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1996?\nAnswer: -3\/1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/28 + 149\/7. Let b = u - 20. What is the closest to -0.1 in -4\/5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4555 - -1496. Is 16 a factor of (-3)\/(-9) + 1 - y\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 732 divide 648831542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 23543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d**3 - 3*d**2 - 3*d. Let k(v) = -3*v**3. Let s(f) = 27*f**3 - 8*f**2 - 8*f. Let w(c) = -3*k(c) + s(c). Give 8*m(u) - 3*w(u).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/5? (a) -5 (b) 13 (c) 0 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 257022860 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -213, -2, -4 in ascending order.\nAnswer: -213, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23244)\/2384*(-8)\/6*(-7)\/(21\/(-18)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (-4 + 7))*0. Let l(o) = -44 + 4*o**2 - o**2 + i*o**2 - 2*o**2 - 8*o. Calculate the remainder when 39 is divided by l(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4101 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -125*b - 85. Let a(q) be the second derivative of -3*q**3\/2 - 3*q**2 + 22*q + 24. Calculate 85*a(k) - 6*r(k).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/(-25) - 2\/10. Let r be 557556\/(-165330) - 1\/h. Let w = -18\/835 + r. Find the common denominator of w and 19\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 2*w = -42*f - 22460, -f = -3*w - 11228. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859721.\nAnswer: 3, 31, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 5100533?\nAnswer: -5100531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 14. Find the second derivative of 4*h**s - h - 14*h**5 + 22*h wrt h.\nAnswer: -200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39432 is divided by 1255?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 13. Let c be t(-15). Solve 4*w - c = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3556\/36 + -4 + (-14)\/(-63) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1210)\/(-80) + 17 + -32.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1610 and 9\/5710.\nAnswer: 919310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1633 + 2950. Let d = x + -1310.13. Round d to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8383 = -12*k + 8347. Let u(j) = -3*j**2 + 0*j**2 + 4*j**3 - 3*j**3 - j. Let d(p) = p**3 - 4*p**2 - p. Give k*u(h) + 2*d(h).\nAnswer: -h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 2:28 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754754992 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - 539*32\/(-352).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 10 - 27 + 35224*u**2.\nAnswer: 35224*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2))\/(93\/186).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(432) + -1)**2 + 1 + (-3 + (sqrt(432) - (-2 + sqrt(432))) + -1*sqrt(432)*6)**2.\nAnswer: 18152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 1450\/6)*6\/4. Let x = r - -697. Is 42 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/4 - 63591*j**2\/4 - 127173*j\/4 - 63585\/4.\nAnswer: -3*(j + 1)**2*(j + 21195)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2 - l - 1. Suppose 0 = -p - 9 + 8. Calculate f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7 and -31\/113?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 634564 + -63?\nAnswer: 634501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 0)\/((-3)\/2). Let i be 1*2*(y + -1). Suppose -3*w + 10 = -i. Let z(j) = j + 1. What is z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f + 1. Let p be j(-3). Suppose 0 = -5*z + 5*c + 2 + 3, -2*z + 6 = -4*c. Put z, p, 1 in ascending order.\nAnswer: p, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10991?\nAnswer: 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2303 * -0.116481\nAnswer: 0.0268255743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1597200 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36637\/16133901 + 1\/17867. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - (-253 + 19)\/(-78).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-15))\/(44\/30 - 1). Let u = -1126 + 1097. Put 2\/15, -0.1, w, u in descending order.\nAnswer: w, 2\/15, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(7\/21*64\/(-704))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4*(-3)\/1. Let i = 0.08 - 0.07. Let c = -0.21 + i. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 716, 1537, 2664, 4097, 5836, 7881?\nAnswer: 10232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:13 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -8. Suppose u + 1 = b. What is the least common multiple of 8 and 6*b\/18*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36465 and 1950?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = 2. Let v(l) = 6 + 0*l**2 + 0*l**2 - 9*l - 2*l**2 - t. Let c(h) = h**2 + 4*h - 2. Let m(i) = 5*c(i) + 2*v(i). Let m(d) = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20223 - 6001. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**3\/3 - u**2 + u - 5. Let j be r(0). What is the units digit of (-1)\/j - 3*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7*x + 8 = -2*x, -5*x - 7 = 4*y. Suppose -l + 1 = 3*l + 5*f, -4*f + 4 = 0. Which is bigger: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/2565*-19*33.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.12 rounded to 0 dps?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136279 and 3406022.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-7)\/28*3458. Is b less than -1728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = -60. Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {k: 2, i: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 11. Let u(f) = f**3 + 15*f**2 + 15*f + 14. Let i be u(-14). Determine z(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182674 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let o(d) = d. Let z(p) = -7*o(p) + 5*x(p). Let s(f) = f - 2. Suppose 0*i + 15 = -5*i. Let b = i + 1. Give b*z(q) - 5*s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 16 = 10*d. Suppose 0 = d*m + 2*i + 5370, 5*m + 5380 = m - 4*i. Round m to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 2, o: 4, l: 3, q: 1}. What is prob of sequence xyq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 take away 859?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242 - -242.3. Let p(i) = i + 5. Let o be p(-6). Which is the closest to o? (a) 2 (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 281 - 2139. Solve -66*b - p = 220 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1199 and 2063261.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*j + 2727 = 0, -8*f + 13*f - 5*j - 2700 = 0. What is the remainder when f is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:24 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 24*q - 232. Let d be n(41). Let g = 931 + d. Solve 4*p + 13 = 3*s, -11 = -s - 2*s + g*p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 13*w - 5 = -16*w, 4*n - 3*w = -7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 0*f**3 + 0*f**3 + (-3*f + 3*f - 3*f**2)*(3*f + 3*f - 4*f) - 2*f + 2*f + 3*f**3 + (5*f - 3*f + 0*f)*(-4*f**2 - 2*f**2 + 5*f**2).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4176 divided by 25974?\nAnswer: 232\/1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 6*z - 3. Determine y(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 16*p - 2. Let v be r(-7). Let l = 26 + -13. Is l > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqk when three letters picked without replacement from {q: 8, k: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -130423.9 from 0.067.\nAnswer: 130423.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6879 at least as big as -6877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*t - 12 = -63*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 3. Let o be a(0). Let j(i) be the third derivative of -i**4\/24 - i**3\/6 + i**2. Let b be j(o). What is the second biggest value in 0.3, b, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.191? (a) 3 (b) 4 (c) -1132 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c - 1. Let i(d) = -7*d**2 + 9*d + 13. Let r(s) = -i(s) - 5*y(s). Let p be r(-6). Suppose 7*x - p = 3*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 0, w = -2*w - 5*x + 58. Let l = w - 6. Suppose 0 = o - 3, l*f = -3*o + 4*o + 92. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 64*p**2 + 12*p**2.\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2147 - -2143. Which is greater: 57 or q?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-1690)*-105 - 4\/26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26087837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/25*3955\/(-4746).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*w**4 + 0*w**3 - 24\/5*w**2 + 0 - 32\/5*w = 0 for w.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j - 1. Let u(z) = 9*z. Calculate 3*q(a) - 2*u(a).\nAnswer: 27*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45967 + -25206. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -4*l - 3*k, 5*l - 6 = -4*k - 51 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i = 6, -2*i = -3*s + 226. Suppose 70*o - s*o = -1500. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 75. Let s(u) = -2*u + 73. Determine 4*n(q) + 3*s(q).\nAnswer: 6*q - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1360 = -8*y. What is the common denominator of -43\/20 and 51\/y*58\/(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x**2 - 4*x. Let t(s) = 5*s**2. Give u(t(m)).\nAnswer: -400*m**4 - 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 34*y - 28. Suppose -4*l - h = -95 + 27, -3*h = -2*l + 20. Let j be t(l). Solve 12 = j*u, 3*k - 3*u - 12 = -2*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 7:42 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*f**2 - 44*f**2 - 464*f + 464*f - 31*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 8 - 89)*(2*n**3 - 4*n**3 + 0*n**3 + (-4*n**3 + 2*n**3 + 0*n**3)*(-3 - 2 + 3)) to c*n**2 + b*n + u + w*n**3 and give w.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (67 + -58).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m - 3 + 6*m + m**2 + 3*m**3 + 2 + m. Let d be c(1). Suppose -5*o = -3*o + d. Let s(v) = v**3 + 4*v**2 + 3*v + 2. Give s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80030197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r + 5*v + 10, -v = 5*r + 6. Suppose 0 = 66*k - 69*k + 21. Calculate the lowest common multiple of 1 + 0 + 0\/r and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 308244, 308215, 308136, 307983, 307732?\n\"Answer: -4*i**3 - i**2 + 2*i + 308247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 44. Let u = 151 - n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) - 333\/(-63). Let i(n) = n**3 - 9*n**2 + 3*n - 1. Let m(p) = -2*p**3 + 17*p**2 - 7*p + 2. Let o(g) = f*i(g) + 3*m(g). Give o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -254 - -429. Let r = -103 + g. Let a = -71.925 + r. Round a to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**47*l)**(5\/17) assuming l is positive.\nAnswer: l**(240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 3*n**5\/40 - 13*n**4\/12 - n**3 + 38*n**2. Factor b(p).\nAnswer: (p - 6)*(9*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220\/339 - -2\/113. Let k be 2 + 1 + 1*-5. What is the biggest value in k, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -10 in descending order.\nAnswer: 2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.57581 - -0.026.\nAnswer: 2.60181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 368*2\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*l + 10, 16*z - 4*l - 19 = 11*z. Solve -s = -z*q + 7, -6*q + 2*q = -s - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-23)\/x*x*x\/x**30*x*x)\/(x*x**(1\/11)*x)**49 assuming x is positive.\nAnswer: x**(-1677\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Suppose -4*d - 28 + 1 = 3*p, -p - d - 8 = 0. Let t = -30 - -32. Let f(x) = -18*x**2 + 7*x - 4 + 37*x**t - 20*x**2. Calculate p*g(o) + f(o).\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/9 and 101\/10552.\nAnswer: 94968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37596815 to the nearest integer?\nAnswer: 6132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 + v - 1. Let s be n(1). Let y be 206\/14 - (-2)\/s. Solve 5*t - y = 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -6*-2*sqrt(171) - ((sqrt(171) + sqrt(171)*-3)*5 + sqrt(171) - sqrt(171) - sqrt(171)))\/(sqrt(36)\/(2*(sqrt(4) - sqrt(4)*-2 - sqrt(4)))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - q + 35 = 0, 4*q - 5 = -1. Let v = -6 - -2. Let r = f + v. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*u = 6*u + 23, 4*u + 28 = 4*g. Suppose 3*c + g = f, 2*f - 40 = c - 4*c. Suppose 74 + 10 = 4*j. What is the highest common factor of f and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 94. Suppose f = -d*x + 13, 0*f - 3 = -4*x + f. Find the second derivative of -x*z + 167 + 29*z**2 - 167 wrt z.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2128\/13 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 18 - 17*v**2 - 18. Let m(q) = q. Determine z(m(t)).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 divided by 47766?\nAnswer: 233\/15922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1685 = 3*r, 5*p - r - 2824 = 1431. Let a = -18262 - -18274. What is the remainder when p is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 12:27 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 17. Let v be h(0). Let m = -14 - v. Solve 2*b + 10 = 5*q, m*b - 5*q + 10 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33837, -135234, -304229, -540822, -845013?\nAnswer: -1216802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5 + 3*f + 6*f - 15*f. Let u(s) = -s + 1. Let r(m) = -m - 1. Let g = -4 + 1. Let q be r(g). Calculate q*a(v) - 10*u(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/(-165))\/(6\/(-4)). Which is the closest to 35? (a) z (b) 5 (c) -0.5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (92496\/168)\/(-47)*(-21)\/36*3\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 10 = 5*i. Suppose -5*n + i = -1. Let h(b) = -139*b + 150*b - 12*b + 4. Determine h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000253135 rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1581*k - 79109 = -913*k + 10675 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 20. Let h be 17 + (1 - 3 - -5). Solve -3*v + h = 5*x - 6*v, 5*x - 20 = -p*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*k + 7 = 12, -f - 6 = -3*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 10*a**2 - 5*a)*(-2 - 3 + 4)*(1 - 2 + 3).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, 5, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 9*l**2 + 2*l - 3. Let k be i(-8). Let a(y) = 5*y**3 - 2*y**2 - 7*y + 11. Let p be a(2). Let t = p + k. 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 -81\/6622 and (165\/430)\/((-406)\/116)?\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m + 32. Let k(u) = 14*u - 24. Let h(d) = -7*d + 9. Let v(a) = -7*h(a) - 4*k(a). Calculate 5*t(j) - 4*v(j).\nAnswer: -2*j + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - 2. Let n = -40.7 - m. Which is the third smallest value? (a) -0.1 (b) n (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2606*m - 605*m = 44022 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsneaaeg. What is prob of sequence nda?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 23137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (285\/60)\/19*4\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 4:19 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(171)\/sqrt(9) - sqrt(38)\/(2*sqrt(2)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 greater than 3\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 3, m: 1, u: 1, e: 1}. Give prob of sequence mdue.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331.8 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 220*v - 2240.\nAnswer: -5*(v + 16)*(v + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 344894249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215*g**5*k - g**4 + 14*g**3 - 3*g**2*k - 119027*k wrt g?\nAnswer: 12900*g**2*k - 24*g + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -74333 (b) -4\/5 (c) 166 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.591 + -17.491. Let q = 8.77 - 4.88. Let f = q + 0.11. What is the nearest to k in 0.12, -4, f?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2514?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/79 or -84049?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7*v - 5*v + 82 = 0, -2*n + v + 32 = 0. What is the units digit of (0 + 2361\/(-18))\/((-3)\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {e: 3, b: 13}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1965 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 248*b + 972. Let k be r(-4). Let z(n) = -15*n - 5. Let f(m) = 8*m + 3. Determine k*z(l) - 7*f(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1584 and 37\/22.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 747, 1117, 1499, 1899, 2323, 2777, 3267?\nAnswer: 3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**2 + z + 1. Suppose 0 = -6*a - 52 + 46. Calculate c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309327 (base 10) to base 11.\nAnswer: 1a1447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/120 + b**5\/10 + b**4\/12 - 4*b**2. Calculate g(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Suppose z*i = 2*i + 8. What is the second smallest value in i, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Let j = z - -1. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*o**3 + 412*o**3 - 830*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/(-450)*(-5)\/4)\/(18\/(-162))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*u - 4301 = -787*u + 161*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77 - 2*f + 21*f + 41 + 36*f**4 + 3*f - 37*f**4 wrt f.\nAnswer: -4*f**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(240) + (sqrt(240) - 2*(sqrt(240)*1 - sqrt(240) - sqrt(240)))))\/(6*(5*2*sqrt(120))\/sqrt(10)).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**0)**(-34)*s**(-2\/5)*s*s*s*s**(-3)*s)**(-14\/5))**(-33\/2) assuming s is positive.\nAnswer: s**(-38577\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -114 (c) -1 (d) 1002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9508 - -1089. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-84)\/(-45) - 0). Let i = 2\/7 - n. Does 0 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 (base 15) in base 7?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77839.6763 - -77844. Let p = h + -0.3262. Let v = -4 + p. What is v rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1898083 and 26.\nAnswer: -49350158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((8 - 7) + (1 - 2))\/3. Put -14, 4, s in increasing order.\nAnswer: -14, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*c*m**2 - 4*c*m*w**3 - 23270*m**3*w**2 - 5*m**3 + 13*m wrt w.\nAnswer: -12*c*m*w**2 - 46540*m**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, v: 5, s: 6, q: 2, w: 3, a: 2}. Give prob of picking 2 v and 2 a.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/3 and 70\/60957.\nAnswer: 60957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:04 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4830474 + 4830481.9800842. Let a = 7.98 - r. Round a to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 - (-7)\/5. Suppose 3*c = 4*c + 4. Let k be u\/2 - (-2)\/c. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72299*d*p**2 + 108405*d + 4*p**2 - 7 wrt p?\nAnswer: -144598*d*p + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/26220 and -3\/4180.\nAnswer: 288420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4 (c) 2\/7 (d) 0.15 (e) 2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:53 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 - 9*z**2 - 87*z. Let g(d) = 20*d**3 + 48*d**2 + 435*d. Calculate -2*g(p) - 11*j(p).\nAnswer: 4*p**3 + 3*p**2 + 87*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2. Let k(v) = 2*v**2 - 13*v**2 - 16*v**2 - 3*v**2. Give k(z(r)).\nAnswer: -120*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -24*d + 100. Let s be x(4). Let u(b) = -b + 4. Calculate u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3512 is divided by 437?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxvx when four letters picked without replacement from vvvvxvvvvvxvvvvxvxxv?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.3. Suppose -55*z + 57*z = 10. Let u = -0.01 + -0.99. Which is the second biggest value? (a) h (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyn when three letters picked without replacement from gnnnnnaghy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 - 13?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 868674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2478695 and 8446?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*d + 5 + 1, 0 = -2*j + 2*d - 2. Let p be (-1)\/(-1) + (-8)\/7. What is the nearest to 1 in -3\/5, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30, -209, -540, -1023, -1658?\n\"Answer: -76*d**2 + 49*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 4*o - 2. Let x be n(5). Suppose i + 3*t = -0*t + 3, -15 = x*i + t. Let q = 10 + i. Solve 3*c - q*c - 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 167343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 1 + 17 + 1. Suppose -u*i + 233944 = -14*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**28\/i)\/i))\/((i*(i*i\/i**(-3\/4))\/i)\/i))\/(i**3)**(13\/7))**(2\/23) assuming i is positive.\nAnswer: i**(-905\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 1020?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4 - -2)\/((-2)\/(-1)))\/(15\/28965). Which is greater: a or -1933?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/55 - (-3)\/(-10). Suppose 0*g + 2*g - 1 = 5*o, 3*o - 7 = 5*g. Which is the nearest to 0.1? (a) o (b) w (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 39*l**2 - 20*l + 13. Let y be w(-20). Calculate the greatest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -23.543193014.\nAnswer: -23.533193014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003804412 rounded to 5 dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 382, -2, -665 in increasing order.\nAnswer: -665, -2, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54938 and 572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*l + 16, 9 = 3*l + k - 4*k. Let f = l + -14. Which is bigger: f or -10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027346 to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1755 divide 42929055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 4353*z**2 + 192858*z + 197208.\nAnswer: -3*(z - 44)*(z + 1)*(z + 1494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g**4 + g**3 + 13 - 3*g**2 - 3 - 5 - 7 as b*g + d*g**2 + w*g**4 + h*g**3 + u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 261*g - 163*g - 662*g - 221*g - 76930 for g.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6 and (-14)\/328*888\/(-140)?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3 + 1 = 0, 45 = -5*s + 5*a. Let f(k) = 43 + 1095165*k - 117 + 54 - 35167*k. Let l be f(s). What is l rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**3\/5 - 5727*u**2\/5 - 40206*u\/5 - 11496 = 0.\nAnswer: -5, -2, 1916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 2 (c) 147 (d) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**5\/5 + 6*o**3 + 3. What is the third derivative of b(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-2)\/(-5565))\/((-20)\/(-35))*3.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*v + 191 + 95, -4*x + 2*v = 1214. Let c = x + 488. Suppose -5*k + c = 47. Solve y + q + 3 = 0, -3*y = -3*q + k - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssseselsssseessee. Give prob of sequence les.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9607312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 2. Let l be y(-1). Suppose l = -24*k + 21*k + 12. Suppose 0 = k*u - 0 + 40. Sort -3, u, 0 in ascending order.\nAnswer: u, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 38\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/5 (b) -3 (c) 0.3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + h = 352, -4*t - 2*h = -177 - 171. Suppose -83*o - 22926 = -t*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v - 991. Let p(k) = -3*k + 983. Give -5*p(c) - 4*y(c).\nAnswer: -c - 951","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 - 3*r**2 + 18*r = 0.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*w + 1 + 3 + 319*w + 15 wrt w.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10985555 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25215 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/173484 and 65\/1453284.\nAnswer: 88650324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 25. Calculate m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*t + 23 - 8, 2*l - 15 = 5*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5 + 47*q**4 - 286*q**3 + 240*q**2 = 0.\nAnswer: 0, 1, 6, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 32 = -228. Suppose p + j = 3*p - 39, -f = -3*p - 5*j. Find the third derivative of -3*h**2 + 0*h**3 + p*h**3 + 12*h**2 wrt h.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9571 or 9565?\nAnswer: 9571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eesssvsssxssssvs. What is prob of sequence sev?\nAnswer: 11\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023750604 rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*n - 15, 3*n = 161*f - 166*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225\/(-4)*(38 - (1132 - -30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**7\/231 + l**6\/165 - l**5\/110 - l**4\/66 - 5*l. Suppose o(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18 + 108*j**5 - 373*j**5 - 326*j**5 - 245*j**5 + 5*j - 598*j**5 wrt j?\nAnswer: -28680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -3*m**5\/5 + 11*m**4\/4 - 4*m**3 + 2*m**2 + 1217. Factor j(s).\nAnswer: -s*(s - 2)*(s - 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4845 divide 93840196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l + 19*l = 1180 - 472 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2068 + -1105. What are the prime factors of k?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*z - 74, -8 = -a + z + 35. Let c(u) = 7*u - 6. What is the remainder when a is divided by c(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 95 - 45 - 48 to z + w*d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 5 (b) 2\/5 (c) -6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Suppose h*t - 12 = -3*y, -t + 5*y + 1 = t. Suppose 15 = 4*v + 3*a, -2*v - 4*a = -3*v - 1. Solve -v*f = t*n - 3, -n = 3*f + 3 - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + d - 2 - 1 + 1 - d + (-1 - 3 + 3)*(-1 + 2*d + 1) - 17*d + 5 - 5)*(0*d + 2*d - 5*d).\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, w: 9}. Give prob of sequence rr.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20021?\nAnswer: 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 9. Suppose 0 = -k + 4*z - 7, -7*k + 37 = -2*k + 4*z. Determine j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**3 - 15*m**3 + 4*m**3)*(-118*m + 1063 - 1063).\nAnswer: 354*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1690 = 34*l - 56*l + 356. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*t - 29, -2*l - 13 + 50 = 5*t. Let w(c) = 4*c - t*c + 0*c**2 + c + 4*c**2. Let g be w(2). What is the greatest common divisor of 18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 3*h - 9 + 2)*(3*h - h**2 - 3*h + (7*h**2 + 4*h**2 - 2*h**2)*(-4 + 2 + 3) - 6*h**2 + 4*h**2 + 0*h**2) as i*h**3 + p*h**2 + a*h + m and give p.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q + 1 + 0*q + 5*q - 5 + (6*q - 3 + 3)*(-3 + 4 + 1) - q + q - 2*q to the form h*q + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/15 - 3\/9. Let l = -58\/15 + m. Let q = 0.0036 + -0.5036. Is q less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*a - 25 = 0, 5*a = -5*h + 40 - 15. Suppose 0 = -x - 2*x + 105. Calculate the remainder when x is divided by (-1 - (0 + h)) + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:04 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - m + 65. Let r be a(0). Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 255 = b - 14*x, x = -5*b + 1313. What is the remainder when b is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from aalltlm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/4 - 93263*t**4\/4 - 3451777*t**3\/4 - 30136261*t**2\/4 + 8420325*t = 0. What is t?\nAnswer: -19, 0, 1, 93300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 1)*(-388)\/12. Let m = 258 + z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-924) - 24\/(-88)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4*y + 10 = 0. Suppose 2*f - a = 2, -4*f + 3*a + y - 1 = 0. Sort -5, 2, f.\nAnswer: -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/5, 0.4, 17, 0.16.\nAnswer: -2, -1\/5, 0.16, 0.4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97501 or -0.3944?\nAnswer: -97501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 22. Let t be 3 - -5*4\/u. Is t at least as big as 3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 13*n + 40. Let j(y) = 97 - 108 - y**3 + n*y**2 + 9*y + 6*y. What are the prime factors of j(11)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 15 = 0. Is (-22)\/5*(-2 - s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 15) in base 13?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 31 + 31 + -67 + -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -270*q - 26*q - 445*q - 189*q + 386*q as a*q + b and give a.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19939580464 + -19938634928.0119. Let q = n - 945687. Let y = q - -151. What is y rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 548 - 590 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 27. Find the first derivative of 16 - b**2 + 7*b**2 + 11*b**r wrt b.\nAnswer: 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 5*j + 54. Calculate the smallest common multiple of 30 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5319769.\nAnswer: 7, 13, 53, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770 = 50*r + 33*r + 71*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 26. Let h be -14*(-4)\/(24\/u). Suppose -2*l = -5*x - h, 5*l + x - 45 = 6*x. What is the greatest common divisor of l and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(171) - sqrt(19))*-4)**2 - (1 + 0 + sqrt(19))**2) + 0.\nAnswer: -6*sqrt(19) + 3588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.04 (c) 88 (d) -3 (e) 1 (f) 10\/7 (g) 2\/19\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/8))**9)**22 assuming x is positive.\nAnswer: x**(495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -10, 5*j = -5*z - 9 - 1. Let h(c) be the third derivative of 0*c**4 - 1\/120*c**6 + z*c**2 + 0 - 1\/60*c**5 + 0*c + 0*c**3. Factor h(r).\nAnswer: -r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -26. Let f = 9 - y. Let w = 3 + f. Let s(l) = -7*l**3 + 2*l**2 - l. Determine s(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w - 14 + 6 + 9. Let i be 1\/(1\/4) - 1. Let b(c) = 9*c - 7. Let v(p) = -1. Let y(n) = b(n) - 4*v(n). What is i*y(s) + 7*j(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296, 2127, 7020, 16505, 32112, 55371, 87812, 130965?\nAnswer: 186360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -65*i - 2331. Let o be a(-45). Calculate the greatest common factor of o and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4152*m**2*o + 15*m*o + 13*o wrt m?\nAnswer: 8304*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4567a (base 11) to base 15\nAnswer: 14872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)*q**(-9))\/(q**(5\/4)*q**(2\/7)))**(5\/3) assuming q is positive.\nAnswer: q**(-1531\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 - 476*u + 1367. What is z(-98)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11155555 - -343?\nAnswer: -11155212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -110*h - 1830. What is the hundreds digit of t(-74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200362404 a multiple of 1931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0520766 nanograms in milligrams?\nAnswer: 0.0000000520766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 491, 474, 447, 404, 339, 246, 119, -48?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-30))\/((-21)\/15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 5. Suppose -10 = -w*b, 4*b = -2*o + 69 + 75. Calculate the remainder when o is divided by (-9)\/24*12\/(-9) - 2070\/(-180).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*z - 2 = -h, -5*h = z + 1. Let k be (h*(-3)\/(-6))\/(-1). Suppose -21*c - 36*c = -114. Is k <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 - n + 7. Let b = 0 + 7. Let p be t(b). Let h be 1\/(2\/(-4) - -1). Put h, -2, p in descending order.\nAnswer: h, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 375756*d**2 - 4509504*d - 13528944.\nAnswer: 4*(d - 93951)*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -297\/7 (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1782, -3137, -5322, -8277, -11942, -16257, -21162, -26597?\nAnswer: -32502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37748742 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(4 + 5 - 1)*(33*y + 44*y - 55 + 54).\nAnswer: 616*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 4908*k - 2007372.\nAnswer: -3*(k - 818)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2010 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - (-124)\/(-12))\/((-3)\/9) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*t - 581 = 1504 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 770\/8*2*(-3)\/(-15) and -151\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 355 = 3*y + 5456, 0 = -3*d - 2*y + 4337. What are the prime factors of d?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/9)\/((q*q**(-7))\/q))**(-2\/15))**(-5\/7) assuming q is positive.\nAnswer: q**(134\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 4 - 23 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u + 2*q, 5*u - 3*q - 20 = -8*q. Solve 3*j + 3 + 0 = u, -3*n = j + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 7*n + 13. Let j be i(8). Solve 0 = -4*z + 5*z + j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7007 and 20384?\nAnswer: 224224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 25*k**2 - 2*k + 54. Let j be q(25). Differentiate -1785 + 95*u**3 + 1752 + j*u - 4*u wrt u.\nAnswer: 285*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*y - 4, -5*y = -0*y - 20. What is the greatest common divisor of l and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*p*y**3 - 2*p*y**2 + 1158*p - 2 wrt y?\nAnswer: 246*p*y**2 - 4*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.17 - 11.99. What is u rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 296.8 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 15. Let j(h) = 107*h + 5672. What is the remainder when j(-53) is divided by (-2)\/t + (-22)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 238, 547, 982, 1543, 2230?\nAnswer: 3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804*h - 866*h = -44532 - 13624 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 192037880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p**26*p))*p**(-30) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 - 0) + (-865 - -820).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2. Let q(w) = -w + 3. Let r(l) = -3*q(l) + 5*y(l). What is r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -632 + 68 + 156*u + 36 - 948*u wrt u.\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1))\/(55\/22). Let n = -0.8 + 0.3. Sort 2\/9, n, v in ascending order.\nAnswer: n, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -388 + 589. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 4*u - 3. Let n be f(5). Suppose n*r = -y - y + 12, -4*y - r = -15. Suppose -d - y*d = -316. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 495\/17 + -29. Let r be 760\/200 + (2\/4)\/((-2)\/16). What is the third biggest value in r, 3, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-168)\/(-18) - 6)*102?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*m - 12 = 0, 5*b + 5*m - 7*m - 22 = 0. Suppose -9 = -b*i + 11. Solve -i*w + 3*w + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 736, 791, 884, 1015, 1184, 1391, 1636?\n\"Answer: 19*o**2 - 2*o + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 + 5*f + f**2 + 2*f**2 - 2*f**4 + f**3 in the form t*f**3 + a + r*f + v*f**4 + w*f**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 167, 364, 739, 1352, 2263, 3532, 5219?\nAnswer: 7384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*d + 42, -2*n + 2*d = -18 - 40. Let s(t) = 10*t**2 + 10*t - 12. What is the remainder when s(2) is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 36664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.1 (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*i**3 - 131*h**3*i*n**3 + 5070*h**3 + 16939*h**2*i**2*n**2 + 10*i**3*n + 2*i*n**3 wrt h?\nAnswer: 12*i**3 - 786*i*n**3 + 30420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2, 2, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c + 612 = 0. Suppose -3*x = -7*x + c. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 219*n + 48831. Calculate j(-223).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b - 1. Let u be (b\/3)\/((-6)\/(-198)). Let x(n) = -n**3 + 11*n**2 - n + 15. Let d be x(u). Solve 0 = d*t - 3*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) + 65\/15. Suppose -5*f = -12 - 13. What is the units digit of (p\/f)\/(1\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:34 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + 1) + -3 + (sqrt(245) - (sqrt(245) + -2)*1) + sqrt(245) + -2.\nAnswer: -5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8654, -37129, -89220, -168719, -279418, -425109, -609584, -836635?\nAnswer: -1110054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.136 + 0.024. Let q = -0.16 + m. Let o = -6.1 - -1.1. Which is the closest to -2\/7? (a) q (b) 4\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.05269 rounded to 2 decimal places?\nAnswer: 17.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -128104 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(31 - 82*a**2 + 30 - 61).\nAnswer: -164*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)\/(s*s**(-3\/5)*s))**(-3\/8) assuming s is positive.\nAnswer: s**(-3\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(175) - (sqrt(175) - (sqrt(175) + 3 + sqrt(175))))*6 - (0 + (sqrt(175) + 3)*4)) + -5)*4)**2.\nAnswer: 990080*sqrt(7) + 13079696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/12 + 11*s**4\/24 + s**3\/6 - 2*s**2. Let x(d) = -4*d**2 + 10*d + 1. Let q(z) = -5*t(z) + 6*x(z). What is q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2436481 (base 9) to base 2\nAnswer: -101000011001000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26754 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 8:08 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/2 of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 9*a**2 - 2*a - 1. Let p(b) = -b**3 - 8*b**2 - b - 1. Let q(t) = -5*p(t) + 4*v(t). Let g = -4 + 7. Suppose -g + 18 = -3*x. Give q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 121*z - 39897. Calculate the highest common factor of z and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 18*q**2 + 79*q - 33. Let h be j(11). Let n(x) = 4*x**3 - x**2 + 2*x - 1. Let l(t) = -21*t**3 + 6*t**2 - 11*t + 6. Determine h*n(y) - 2*l(y).\nAnswer: -2*y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mjjmjmmmmmjjjjjjjjj.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 5*a**2 - 7*a - 12. Let s = 44 + -35. Calculate the least common multiple of s and w(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + q + 9 = 0, -s + 4*q + 1 = -0*s. Let l(p) = 6*p - 15. Let w be l(s). Suppose -4*d - w = -55. Solve 3*g + d = -g - 3*k, -5*g - 5*k = 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - 8. Let s(a) = a - 2*a + a + a**c + 3*a + 1. What is s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4, -44\/13, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1 (c) -5 (d) 0 (e) -436 (f) 71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -51. Let k = -29.1 - z. Is k != -3.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 < 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i + 4 - 4)*(-7 - 9 - 4)*(5 - 2*i - 5).\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 * 1.0962\nAnswer: -0.591948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/5 + 155*r**2 + 1342*r\/5 - 384\/5.\nAnswer: (r + 2)*(r + 192)*(4*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - 16 = 0. Let c be 4\/18 + 34\/9. Let f = c + u. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (953*y**2 + 191*y**2 - 339*y**2)*(-5 + 4 - 2*y + 3) to the form m*y**2 + c + n*y**3 + s*y and give n.\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 1, e: 1}. What is prob of picking 1 j and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12b4 + 0?\nAnswer: -12b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6) - 0)\/((-6)\/(-12)). Let f be (-4 + 13\/y)\/(1\/195). What is the tens digit of ((1 - -3) + -3)*f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81426.3 - -77647. Round k to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwpppgwppgw. What is prob of picking 3 g and 1 p?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/17 + 5094*y**3\/17 + 777830*y**2\/17 + 1540386*y\/17 + 767648\/17 = 0. Calculate y.\nAnswer: -2384, -161, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 <= -4858696.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7467 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*k - 7*k + 266. Let b = -21 + 21. Suppose 2*j + 0*j = d - 28, b = 5*j - 3*d + 71. Do k and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 = -13*x + 104*x + 423 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 2\/3 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -65*l + 721. Determine s(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsnggssguggm. What is prob of sequence nh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46930 + 74?\nAnswer: -46856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23197.4 + 4\nAnswer: 23201.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o - 6*o**3 - o**4 + 3*o**3 + 19*o to the form i*o**3 + q + h*o + r*o**4 + n*o**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14645512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -94*k - 4. Let x be u(0). Which is the second smallest value? (a) 1\/4 (b) -3 (c) x (d) -1 (e) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 736 - 765. Sort q, -3, -4 in descending order.\nAnswer: -3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -1)\/(12\/(-8)). Let d = 66 + 1. Let b = d - 72. What is the second biggest value in -2, k, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/2*11622\/4917?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18852 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-15867)\/14104*(-42)\/27\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-11\/4)*d)\/d)**(-2\/15)*d*d**(-18\/5)*d*d*d*d*d*d**(2\/59)*d assuming d is positive.\nAnswer: d**(6491\/1770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -65*f + 14. Let g be u(-2). Calculate the highest common factor of 636 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184533247?\nAnswer: 157, 1175371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47532207, 95064402, 142596597?\n\"Answer: 47532195*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 60. Let o = x - 27.8. Let u = -0.7 - 0.3. What is the nearest to u in o, 1\/4, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 8 + 1 - (-1 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -300*a**3 - 13*a**2 - 18*a - 7. Give n(-2).\nAnswer: 2377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 535620179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 684442483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-420)\/525*(-5)\/8. What is the third biggest value in -0.2, -5, o, 0.1, 562\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19789?\nAnswer: 7, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(84)\/(sqrt(108) - sqrt(12))) + 3)**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-2) + 3 + 0. Suppose r = -h + 4*g + 28, h - 25 = -4*h - 3*g. Suppose 63 = h*v - 5*v. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/33 and (71\/(-639))\/((-3)\/52).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40654.95 centimeters in millimeters?\nAnswer: 406549.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-2)\/(-42)) + (-157872)\/2772 + -28?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 - 2*i + 6. Let w be h(4). Let o be (-1)\/((-6)\/15)*w. Put -2, o, -1 in decreasing order.\nAnswer: -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k**2 - 2*k + 7. Determine i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 7*c**2 - 9*c. Let z be m(-6). What is the greatest common factor of z and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, 4\/3, -1\/107, -0.83, -2 in descending order.\nAnswer: 2.2, 4\/3, -1\/107, -0.83, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/14, 4, -3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104842 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6263618 to the nearest integer?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 3:40 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/289270?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 3*d - 16. Let b be w(-6). Suppose -l - b*a + 43 = 4*l, l + 1 = 2*a. Let q = 10 - l. Let c(k) = k + 1. Let y(m) = m + 3. Give q*c(s) - y(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 333328 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 12 = 0. Let i be (g - -2)*(-2)\/4. Find the first derivative of -6*h**2 + 5 + 8 + 8 - i wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2699900 - 2158100.\nAnswer: -4858000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -14. Suppose f + n = 2*f. Find the third derivative of 6*h**2 - 8*h**5 + f - 1 + 14*h**5 wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -2*v**6\/21 - 8*v**5\/35 + 12*v**4\/7 - 8*v**3\/3 + 10*v**2\/7 - 109. Suppose l(q) = 0. Calculate q.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*s - 97 = 1711 + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 g when three letters picked without replacement from pkpqwkpkkpkkggkkk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(972) + 1*sqrt(972) + sqrt(972) - sqrt(972)) + (sqrt(972) - -2*sqrt(972)*1))\/(sqrt(63)\/sqrt(252) - (sqrt(144)*-3 - sqrt(144))).\nAnswer: -324*sqrt(3)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 581052 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 19. Let m(q) = 3*q - 9. Let l(t) = -7*m(t) + 4*z(t). Let o be l(-13). Which is bigger: 3\/19 or o?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123013255 (base 6) to base 9.\nAnswer: -4428728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1232)\/(-660) + 6\/45 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102 + -112*((-699)\/(-21) - 33).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13025246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 1909776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43738572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23043431233 + -34?\nAnswer: -23043431322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -5*v**4\/6 + 5*v. Let m(p) be the first derivative of -p**2\/2 - 1. Determine o(m(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103315 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3022633 and -0.12?\nAnswer: -362715.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 26. Let y be u(-16). Suppose y*w = 117*w + 1115. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1*(-6)\/4. Suppose 6*k - k + 3*d = 27, -19 = -k - 4*d. Differentiate o**3 + 6*o**3 - 3*o**k - a wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, -2, -38, -92, -164, -254, -362?\n\"Answer: -9*w**2 + 9*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 4*k**2 - 5*k + 7. Let i(r) = -r**3 - 15*r**2 + 15*r - 22. Let b be i(-16). Let l be w(b). Let d = 30 + l. Is -6 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g**2 + 13*g - 48. What is k(6)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i. Let f(j) = j. Let p(a) = -4*a. Let s(w) = -7*f(w) - 2*p(w). Calculate s(z(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + (-2)\/(-4) - -5. Suppose -6*s = -k*l - 2*s + 27, 0 = 4*s + 12. Factor -512\/7 - 23328\/7*b**l - 15552\/7*b**2 - 13122\/7*b**4 - 4608\/7*b.\nAnswer: -2*(9*b + 4)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let c(w) be the second derivative of -5*w**4\/12 - 9*w. Give y(c(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -67*u + 137. What is the units digit of s(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-4 - sqrt(55))\/(-2*sqrt(15)\/sqrt(3)))**2.\nAnswer: 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a**3\/3 - 1299. Let t(x) = -215*x - 3. What is t(i(s))?\nAnswer: 430*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -73, -107, -141?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.3 less than -3230944558?\nAnswer: -3230944480.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(392)\/sqrt(648))\/(sqrt(84)\/((sqrt(24) + sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(2))).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 137, 172, 227, 308?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017093 plus 0.03?\nAnswer: 0.0282907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -91. Let r(h) be the third derivative of h**4\/12 - h**3\/3 - h**2. Determine r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 199988 and 42797432?\nAnswer: 42797432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4. Let i(l) = 11*l - 38. Let t be i(3). Let r be 2 + t\/((-15)\/(-6)). What is o(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, s: 3, t: 5, d: 4}. Give prob of picking 1 s and 1 t.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40398 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*i + 10 = 0, -97*j - i = -100*j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42480 divided by 14160\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 439600 and 3351950?\nAnswer: 26815600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2 + 16*j + 132 = 0.\nAnswer: -6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 369890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (6 - 3))*(-5713)\/(-812) - 14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6984 is divided by 137.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 2*v**2 + 3*v + 2. Let p be m(-2). Let q = p + 4. Let c = 1 + q. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10906, 10946, 10986?\nAnswer: 11026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**3 + 7*w**2. Let d(x) = -3*x**3 - 6*x**2 - 3*x - 26. Let b(r) = -r - 9. Let p(u) = 3*b(u) - d(u). Calculate -2*k(a) + 3*p(a).\nAnswer: a**3 + 4*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let l(c) = 12*c - 11. Let k(p) = 5 - 1 - 25*p - 1 + 20. Let s(h) = -2*k(h) - 5*l(h). Let o = -24 - -26. Determine o*s(x) - 18*v(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1450051, -2899574, -4349087, -5798584, -7248059, -8697506, -10146919?\nAnswer: -11596292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b3a + -b5?\nAnswer: -1c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8289 by 8289.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 8. Let f = q + 19. Let i = f + -14. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/7)\/x*x**(-1\/7))\/(x**(-2\/7)*x\/(x\/(x\/x**(-5)*x)))*x*x\/x**6*x\/(x**(1\/9)\/x)*((x**(-3\/8)*x)\/x)\/(x\/x**(1\/2)) assuming x is positive.\nAnswer: x**(-5249\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1703556 divided by -4\nAnswer: -425889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22531a (base 12) to base 5\nAnswer: -120020410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290136 divided by 231.\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19081731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*i**2*l**3 + i**2*l**2 - 2*i**2 - 6009303*i*l**3 + 26194*i*l**2 - 20*i - l - 2 wrt l?\nAnswer: -138*i**2 - 36055818*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(-25) + -4 - 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309586382 to the power of 1\/3, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 + 9*p - 20. What is the hundreds digit of q(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:01 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350 and 146906725?\nAnswer: 293813450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*p**2*z**2 - 2*p**2*z - 127249312*p**2 + 1093899*z**2 with respect to z.\nAnswer: 16*p**2*z - 2*p**2 + 2187798*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 1:26 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1005 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(52) + 2*(sqrt(52) - ((sqrt(364)\/sqrt(7) + sqrt(52) - sqrt(52)) + sqrt(52))))\/sqrt(4) - 6*sqrt(637)*4) + -3.\nAnswer: -676*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, 2\/25721, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5\/4 - 141*m**4\/4 + 135*m**3\/4 + 141*m**2\/4 - 69*m\/2 = 0.\nAnswer: -1, 0, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33319 and 0.1.\nAnswer: 3331.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 22.1. Let j = -1.2 + c. Let t = 0.3000003 + j. Round t to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/5 - 3\/10. Let x be (-2)\/2 - 1\/1. Let f = x + 2. Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -27065*i - 378915. Calculate d(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -74763.\nAnswer: -74765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(700) + -1))**2 + -1.\nAnswer: -320*sqrt(7) + 11215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126387 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1734?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4823\/27 in -4, -3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/5)\/((u*u*u**(-1\/5)*u)\/u*u)*u**(-2\/3)\/(u*(u*u**4)\/u) assuming u is positive.\nAnswer: u**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 7*b**2 + 0 + 23*b + 0.\nAnswer: -b**2 + 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6687831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -2, 3, -605, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 6. Let c(u) = u - 3. Let h be c(k). Suppose h*g = -3*g - 9. Is g at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w - 3*w + (-3*w + 0*w + 5*w)*(-1 - 3 + 3) - 3*w - w + 2*w)*(-1 - 1 + 0) - 3*w + 3*w + w + (-1 - 1 - 1)*(3*w + 2*w - w) as k*w + a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352866518 divided by 18571922.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - sqrt(204)*4))*6)\/((2*sqrt(120))\/sqrt(10)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - (-2416)\/48. Suppose 176 = a*t - 74. Solve -2*o + 0*p + 3*p = 0, -t*p = -3*o - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799449374.\nAnswer: 2, 167, 2393561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 16 + 10. Let o be (-14)\/36 + (-1)\/k. Which is the nearest to 0? (a) -3 (b) 2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 669792 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8776, 17553, 26330, 35107, 43884?\n\"Answer: 8777*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -591 + 590.5. What is the closest to 0.3 in 3, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from ifiififffffffrc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-5 + 14 - -15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.41 and 55?\nAnswer: 54.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = 165. Suppose 2328108 = 9*n + 2327883. What is the lowest common multiple of n and u?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 5 - (-77)\/175*-5. Put 0.4, 2\/3, -1\/22, 0.3, m in descending order.\nAnswer: 2\/3, 0.4, 0.3, -1\/22, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 19 = 11*c - l, -620 + 622 = -l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 208*d + 3496. Let b(n) = 3*n**2 - 209*n + 3503. Let i(m) = -4*b(m) + 5*f(m). Factor i(j).\nAnswer: 3*(j - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.04 + 1.6. Round r to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 23*x + 36 = 0. Suppose 0 = -2*l - 2 - 2, -79 = -5*m - 3*l. Factor -m*p**4 + x*p**5 + 15*p**3 - 3*p**5 - 8*p**2 - 16*p + 25*p**4.\nAnswer: p*(p - 1)*(p + 1)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -35 (b) 4 (c) 0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 3520 = -19*b. What is b rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peeprrppee. What is prob of picking 1 r, 1 p, and 1 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14828+-463\nAnswer: 14365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3921, -15688, -35321, -62838, -98257?\nAnswer: -141596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -47*x**2. Let v(f) = 18*f**2. Determine v(d(w)).\nAnswer: 39762*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -34 - -27) + -66?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, -4, 17.\nAnswer: -28, -4, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = -5*f. Suppose -2*a + a + 16 = 4*l, f = a. Suppose -3*r = -l*c - 60, -4*r + 11 + 81 = -c. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.9 or 10683199?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 2*i**2 + 3*i**4 + 3*i**2 + 4 + i + 7 to l*i + y*i**3 + q + m*i**2 + d*i**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1*sqrt(132) + sqrt(132) + sqrt(132)))\/sqrt(3))\/((sqrt(28)\/(sqrt(7) - sqrt(567)) - sqrt(4))*3).\nAnswer: -8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7020 - 3655. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/35 - 2\/5. Let w(j) = -j**3 + 6*j**2 + 11*j - 5. Let r be w(7). Let t = 91\/4 - r. Which is the nearest to t? (a) 6\/7 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 2\/9*w**4 + 2\/9*w**3 + 0 + 0*w**2.\nAnswer: 2*w**3*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*y, 4*s + 5*y - 279 = -576 + 277 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -404545 + -4?\nAnswer: -404551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11345, 9839, 7331, 3821, -691, -6205, -12721?\nAnswer: -20239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let c(n) = 2*n**3 - n**2 - n + 2. Let o be c(2). Let y(l) = 5*l + 5*l - o*l. Determine y(k(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 147*w - 16912. Calculate x(115).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21822636613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-3)*21\/14. Let m be -5 - -2 - g\/(-2). What is the third smallest value in m, 2\/5, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.5 and -0.08447288901.\nAnswer: -3.58447288901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 7*a - 2. Let k(r) = -8*r**2 - 35*r + 5420. Give -k(y) - 5*q(y).\nAnswer: 3*y**2 - 5410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7263, -4943, -25287, -53769?\n\"Answer: -4069*j**2 + j + 11331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 9252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 4622537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 134. Let p = j + -87.0172. Round p to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 26, -7?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**3 - 1\/30*t**5 - 2*t**2 + 0*t**4 + 0 + 0*t. Let j(q) = 4*q**2. Give n(j(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -137211.3479 to the nearest one thousand.\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151133 - -96929. Let c be j\/20 + (-1)\/(-5). Round c to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((117\/(-15))\/13)\/(2\/(-30)) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 16 = -4*d. Let m(s) = s**3 - 3*s**2 + s - 1. Let r be m(3). What is the first derivative of 4 - 5 - c**d - r wrt c?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73934 or -73930?\nAnswer: -73930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/539)\/(39\/73079). Let z = j - -2\/1001. What is the common denominator of -101\/4 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*p - 15 + 14 + 5*p**2 + 484*p - 3*p**2.\nAnswer: 2*p**2 + 646*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8507856 and 29904.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24204.43 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (12 + -6 - (-1 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 6*a - 40. Suppose 5*j + 567 - 137 = 0. Let c = a - j. What is the remainder when c is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775 and 500.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 - 29*v + 39. Let l(m) = 2*m**2 - 10*m + 13. Let r(g) = 6*c(g) - 17*l(g). Is r(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.5 (b) -2\/27 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*c - 61, 5*c + 25 + 34 = -4*a. Let b be 17\/(-12) - a\/(-64). Put b, -4, 0.04, -2 in increasing order.\nAnswer: -4, -2, b, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/47? (a) -0.1 (b) -6\/5 (c) -1\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**9\/1512 + o**5\/120 + 2*o**3\/3 + 2. Let c(w) be the third derivative of g(w). What is the second derivative of c(l) wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let s(v) = 0 - 4 + 5. Let r(x) = 2*x**2 + 6. Let k(c) = -r(c) + 6*s(c). What is k(h(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057356 at least 1057354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 822*j**3 - j**2 - 4. Let q(m) = 3*m**3 - m**2 - 1. Give -f(o) + q(o).\nAnswer: -819*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 157b (base 12) to base 11\nAnswer: 1a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3190 divided by -3378.\nAnswer: -1595\/1689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 71*g**2 - 10*g + 703. Calculate l(71).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q**2. Let u(c) = c + 716. What is u(r(t))?\nAnswer: 12*t**2 + 716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 7\/3778, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78022562 * -5.\nAnswer: 390112810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9421.\nAnswer: 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = b - 5*x, -4*b - 2*x - x - 24 = 0. Let k(y) = y**3 + 2*y**2 - 2. Let s be k(b). Let f be 1*(1 + 13\/s). Sort -1, -3, f in decreasing order.\nAnswer: f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {i: 2, k: 3, w: 6, d: 1, r: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z - 14*z + 64 - 64 - 4*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 55061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mss when three letters picked without replacement from mmmssmsssmmm.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93904 is divided by 72.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiw when three letters picked without replacement from wxiwwwwwwiwwwx.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4544 + 3171 - 602 + 725 + 3567)*(0*v + 2*v - 4*v)*(-4 + 5 + 5).\nAnswer: -136860*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1772 less than or equal to -483694\/273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Suppose -5*l + 5 = 0, -5*a + 19*l + 17 = 16*l. Suppose 6*z + 64 - a = 0. Calculate s(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 7*v - 7*v = -320. Calculate the highest common divisor of v and 432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/120 - 111\/24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204\/35 + -27\/5. Let n = 16.21 - 16.51. Which is the closest to -2\/9? (a) 0.5 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284041*d**4*y + 90*d**3*y**2 - 5*d*y**2 + 2*d*y - 26709*d + 221*y**2 wrt d?\nAnswer: -3408492*d**2*y + 540*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(12 - 4) + 2. Solve b + 16 = -d*t + 4, -b + 5*t = -28 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2. Let z(u) = 6 - 3 + 0 - 3*u. Let r(j) = -6*j + 7. Let f(i) = -3*r(i) + 7*z(i). What is f(n(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1831*v + 1822*v = 54 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53\/5*(-15)\/12*-4 is divided by ((-144)\/96)\/(1\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -330 in 1, -43, -3\/2?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*m**2 - 138*m**2 + 61*m**2 + (m**2 - m**2 - 2*m**2)*(-2 - 1 + 2)*(4 - 3 - 5))*(-11 + 11 - m)*(-3 + 0 + 1).\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483.6703 millennia to months.\nAnswer: 5804043.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 486 - 331. Suppose 2*i - 5*l = p, -l - l = -4*i + 318. Suppose -f = 4*f - i. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 7) + (-4)\/((-16)\/(-12)). Let k be -10*((-2)\/(-10) + (-274)\/20). Let b = k + r. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38bd (base 14) to base 4\nAnswer: -2123233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-153)\/27)\/(4\/(-72)*1). What is the highest common divisor of o and 1122?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967 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: Simplify k**(4\/5)*k**(1\/3)*(k*k*k\/((k**(-2\/7)\/k)\/k*k*k))**(-2\/13) assuming k is positive.\nAnswer: k**(857\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6464 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 is the derivative of -7*m*n*t**3 + 106*m*n*t + m*t**3 + n*t**2 + 186*n*t - 8*t**3 wrt m?\nAnswer: -7*n*t**3 + 106*n*t + t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -59. Let m(t) = t + 0*t + 1 - t - t. Give m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 29 = -9. Suppose 0 = -8*g + h*g + 492. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*p - 19 + 20, -14 = 9*h + p - 39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4172*f - 822 + 822 - 8159*f as o*f + l and give o.\nAnswer: -12331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.491615 decades in years?\nAnswer: 64.91615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g + 7. What is t(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564572 and 221676.\nAnswer: 1078897092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 33*d**2 - 3*d - 3. Let o(u) = -20 - 2*u + 17 + 9. What is the remainder when x(-1) is divided by o(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(720) + sqrt(720) + -1 + sqrt(720) + 1 + sqrt(720) + 2)**2*5)*-2.\nAnswer: 11520*sqrt(5) + 691440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 318, -3.69, -3, 2, -2\/9, -2 in ascending order.\nAnswer: -3.69, -3, -2, -2\/9, 2, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 248*v**3 - 251*v**2 + 262*v - 10. What is b(1)?\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 6*c + 245. Put 0, 5, c, -4 in increasing order.\nAnswer: c, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**3 + 1671597*x**2 + 232853879997*x + 232852208403 = 0?\nAnswer: -278599, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/(-1078)*(-12 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -10. Let i(l) be the third derivative of l**4\/3 + l**3\/2 + 4*l**2. What is the remainder when i(4) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 4*q - 4*i + 350, -3*q = 2*i - 340. Let p = -54 + q. Let u = -32 + p. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 201900, 201907, 201914, 201921, 201928?\n\"Answer: 7*d + 201893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.895634486 rounded to two decimal places?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 5. Suppose x = 2*i, -4*i + 3 = -x - 3. Let c(o) = -x - 3*o + 0*o + 2*o. Determine 3*c(y) + 4*u(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.49285g in nanograms?\nAnswer: 45492850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1008089.9907 + -1008165. Let s = w + 75. What is s rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.09581 days to seconds.\nAnswer: 6574677.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(39) + sqrt(39)*-1 + sqrt(39))*-6 + -6*sqrt(624))\/(-2*(sqrt(243) + sqrt(243)*2))*-5)**2*-2.\nAnswer: -16250\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186 is divided by 236.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 - 1922015.\nAnswer: -1922012.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -431*g**3 + 4*g**2 + g**2 + 428*g**3 + 7*g - 1. Let u be t(-2). Let k = u + -30. Is k < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3338 - -28?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 a when three letters picked without replacement from laalllallllaalaaaaal.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 248308507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5, -9863, -1\/4?\nAnswer: -9863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14147.189 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52331.\nAnswer: 43, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -33 - 7 - ((-210)\/5)\/7. Sort -1, a, -2, -3 in ascending order.\nAnswer: a, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 7) to base 11.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Suppose -5*l = -a*l - 25. Solve -t + 6 = -m - 0, -l*m - 4*t - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10588290 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 1468623, -0.2, -1\/10, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -40. Suppose h*x - 15 = x. Solve j + 4*j = 3*b - 9, -2*j + x = 5*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7554.2 times -0.8?\nAnswer: 6043.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 656*i - 4377 - 4807 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2*o**2 - 3*o + 2. Let w be c(2). Let k = 7 + w. Calculate the lowest common multiple of (-136)\/(-16) + (-2)\/4 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/25)\/(4 - (-44)\/(-10))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1007 and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16 + 4*r + 9 - 2 - 4. Let h be l(-5). Let v(g) = -g - 1. Give v(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -2. Is 0 - -1174*p\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {c: 1, q: 3, p: 1, d: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*f - 5*w - 146, 4*f - 32*w + 29*w - 46 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(500)*-1)**2 + -5)*1 + (5*(-4 + sqrt(500)*-1 - (0 + sqrt(500) - sqrt(500))*-3))**2.\nAnswer: 2000*sqrt(5) + 14895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 + 6*n + 3. Suppose 4*b + 5*a - 2*a = 5, -2*a = -b + 4. Suppose -5*k = 2*g - 35, 34 + 1 = 5*k - b*g. Calculate x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/12)\/((-5)\/(-15)). What is the closest to -2 in -2\/3, 8, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 2. Let h be n(5). Let a(s) = s - 2. Let q be a(h). Suppose y + 5899980 = q*m, 4*y - 4*m = -m - 23599988. Round y to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2)\/8*(-1 + 5). Suppose 8 = 9*n - i. Let z = 1.7 + -1.3. What is the closest to 1\/2 in 2\/11, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100810?\nAnswer: 2, 5, 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 7:18 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/20 - 4*h**4 - 128*h**3 + 28*h**2 - 3*h + 34. Let k(w) be the first derivative of b(w). Factor k(l).\nAnswer: -3*(l + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -4. Let r = 11 + u. Let d(j) = -j**3 + 3*j**2 + 1. Let q be d(3). Which is the nearest to q? (a) 0.4 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -200 - -311. Let d(n) = -n**2 - 16*n - 22. Let i be d(-19). Let s = i + c. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpgs when four letters picked without replacement from {p: 5, s: 2, g: 12}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 275 = -5*b, -3*b - 39*v + 170 = -37*v. Does 16 divide (2304\/b)\/(-2 - 64\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -285, 4\/9, 478\/5, 1 in decreasing order.\nAnswer: 478\/5, 1, 2\/3, 4\/9, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.051 - 104.549. Let m = y - -136. What is m rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxyyvxvyxyyvxzxyymym. Give prob of picking 1 x and 2 z.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 5\/(95\/(-722))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 24066\/(-5656)*4.\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = 0, 8 + 8 = r + 3*o. Let z(s) = -s**2 + 8*s - 6. Calculate z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p + 28*p - 17*p - 3*p**2 - p**2.\nAnswer: -4*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1920177976385 from -5.\nAnswer: 1920177976380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) -388 (c) 0.11 (d) -126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -131*o. Let z(t) = -2*t**2 - 4*t - 4. Let g(f) = 2*f**2 + 5*f + 5. Let k(j) = -4*g(j) - 5*z(j). Give r(k(m)).\nAnswer: -262*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4019 by -7.\nAnswer: 4019\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 3*v + 4. Calculate z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 414 = 994. Let n = 17597\/25 - p. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-12))\/(4\/10404*6). Let y = b - 282. Solve -y*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 134 = -4*f. Is f less than or equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4203231 (base 8) to base 11.\nAnswer: 6a2355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h**2 + 12*h + 4. What is the units digit of d(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*7)\/((-2)\/(4\/1)) + 663575\/6985\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyfyfytfyeyfen. Give prob of sequence etyy.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3 (b) 2\/3 (c) 1\/4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51888 and 1840.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1115, -1113, -1111, -1109, -1107, -1105?\n\"Answer: 2*v - 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from wywywyw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -367*g + 367*g - 2*g**2 + 0*g**2 + 22 wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o - 5. Let c be j(6). Let g be 5\/(-3)*(1152\/60)\/(-16). Is 10\/g*4670\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 650*o. Let r(t) = 2*t**2 - 544 - 3*t**2 + 544. Calculate r(i(u)).\nAnswer: -422500*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m**2 - m**2 - 2*m**2)*(1200 + 762 + 529) + (4 - 1 - 5)*(-2*m**2 + m**2 + 0*m**2) + m**2 + m**2 - m**2 in the form i + n*m + j*m**2 and give j.\nAnswer: 7476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 146*x**2 + 10*x + 11. Let r be q(-6). Suppose -r = -3*p + 4891. Suppose -101 = 5*a - p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.169 times 2\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 568 + 28. Suppose 9*a - 5*a = m. What is the remainder when a is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)\/1 + (-27)\/((-13392)\/(-512)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 300 - 317 - (6 - 0)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.18 + 0.32. Let z = g + -49. Let k = 0.11 + -0.08. Which is the nearest to k? (a) z (b) -0.5 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-20)*45\/(-189)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/1 - (-10 - -9) 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 x and 1 c when two letters picked without replacement from bbcrpbprryxr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2271296 and 91\/12344?\nAnswer: 2271296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -288550 divided by 144275?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*a = -7*i + 11, -5*a = -3*i + 1. Let y(l) = 4*l - 58. Let b be y(15). Suppose -k = -i*v - 2*v + 1585, b*k - 1197 = -3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7939037 is divided by 7561?\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d**4 - 77*d**2 + 4329*d wrt d.\nAnswer: 132*d**2 - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 5, q: 9}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -83. Suppose 14*w - 16 = 6*w. What is the remainder when z is divided by 4 - -1 - (-23 - w)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/11 - -1) + (-4500)\/396 + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -161, -943, -1723, -2501, -3277, -4051?\n\"Answer: w**2 - 785*w + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 100490*q + 602900. Determine v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = 4*h - 10948. Does 46 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 23*k + 488. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(200) - sqrt(8)))\/(-1*sqrt(294)) + -5.\nAnswer: -5 - sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcctffffffcfc. What is prob of sequence ttcc?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489321 is divided by 514?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z - 2. Let k be 8*((-6)\/(-4) + -2). Let u(r) = -r**2 + 49. Calculate the remainder when u(0) is divided by g(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -23\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*l - 328576 = -6*f - 78*l, 54728 = f + 4*l. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -347 - -558. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 2. Let s be p(4). Let r = s - -8. Suppose 20 = -r*j + 4*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 17551049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 56. Let l be (-2 - -1) + o\/4. Suppose 0*f = 4*f - 4. Sort 2, f, l in ascending order.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -58878\/595?\nAnswer: -58878\/595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*h = p + 17, p + h - 9 = 0. Suppose -4*z + 14 - 3 = 5*q, 2*z = -3*q + p. Is q equal to 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 706909056?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 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: Simplify ((q*(q\/q**2)\/q)**(-35))**(-11) assuming q is positive.\nAnswer: q**(-385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o + 6. What is i(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*w + 134 + 109*w - 202*w)*(w - 3 + 3).\nAnswer: 2*w**2 + 134*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -109855.5 minus -3?\nAnswer: -109852.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**2*g*x**3 + 60*a**2*g*x**2 + a**2*g*x + a**2*x**3 - a*g + 2*g*x**2 - 25*x**3 wrt x.\nAnswer: -18*a**2*g + 6*a**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8211 and 639387.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 766 = -3*t - 353, -4*f + 746 = -2*t. Let i = -94 - t. Calculate the remainder when i is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7460995?\nAnswer: 5, 277, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -65. Let b = -93 - -87. Let k be (-16)\/b + 10\/(-15). Is x at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, j: 4}. Give prob of picking 2 f.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3986 is divided by 97.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, -0.1, 49139?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 57*j - 53*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 3080?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2592 (base 12) to base 11.\nAnswer: -3247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:25 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -937 + 937. Let s(l) be the second derivative of 0*l**2 + 0*l**3 + n - 3*l + 1\/4*l**4. Let d(o) = 10*o**2. What is s(d(r))?\nAnswer: 300*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -7*k**4\/24 - 5*k**3\/6 - 9*k**2. Let d(t) = -8*t - 6. Let v(q) = 5*d(q) - 6*j(q). Let i(g) = -16*g. Determine v(i(u)).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Let o(r) = -12*r**2 - 3. What is b(o(d))?\nAnswer: 288*d**4 + 144*d**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6464 and 128?\nAnswer: 12928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 299*d**5\/60 + d**4\/24 - 5*d**3\/3 - 1326*d**2. Let c(k) = k. What is c(w(r))?\nAnswer: 299*r**2 + r - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose 2*o = -m*g - 0*g - 4, 2 = -5*g - 4*o. What is the units digit of 2\/((-2)\/(-6 + g))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.88 + 0.12. Which is the nearest to -1? (a) 3 (b) n (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 10) to base 8\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 - 3679*m\/3 + 18370\/3.\nAnswer: (m - 3674)*(m - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 3:23 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from ohr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/12 + 4*v**2. Let x(h) = h. Let b be 10\/(-4)*(-14 + 12). Suppose -3*u = -b - 4. What is u*s(j) + 4*x(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*w**5 + 1056*w + 1240\/3*w**3 + 0 + 1432*w**2 + 38*w**4 = 0. Calculate w.\nAnswer: -44, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 133613.\nAnswer: 133619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (5486\/(-1055) + 4\/(-5)))\/(1 - -145)?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, -203\/2, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172451711, 172451709, 172451707, 172451705, 172451703?\nAnswer: 172451701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njxe when four letters picked without replacement from {e: 3, n: 1, j: 4, x: 2, u: 6, q: 2}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*g - 3092 + 3096, -4*g = -4*w + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 707948 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 1. Let p(j) = -808*j + 606. Give 2424*b(n) + 4*p(n).\nAnswer: 1616*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12))\/((-18)\/(-27)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 16856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*(-2 + -2*sqrt(175)) - 4*(1 + -2*sqrt(175))))**2.\nAnswer: -5120*sqrt(7) + 45824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -20, 47 = 2*d + 4*z + 15. Let h = d + -4. What is the units digit of h + (-1)\/3*0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Do n and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 10*h = -20, -p + 28 = -h. Which is bigger: 32 or p?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 12 - (-408 - -427)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22718*o**4 - 22718*o**4 + 78*o**5)*(-4 + 14 + 18).\nAnswer: 2184*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/345*-7*(-684)\/(-126).\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26592 (base 12) to base 6.\nAnswer: 1043502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150588968 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(6\/13)*y**(-4) assuming y is positive.\nAnswer: y**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13*v - 6160 = 0. Suppose -2*h = 2*s - v, -3*s = -0*s + h - 838. Suppose 6 = 2*j, 0*u + 3*u + 5*j = s. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1772827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7 = -2*x, x = 4*x + 2*y - 9. Let f = -313778\/235329 + 2\/78443. Which is the closest to x? (a) -5 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828454 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/(-12))\/((-4)\/6). Suppose -m*c + 3*c = -36. Suppose 3*j = -3*l + 18, 0 = -2*l - 0*j - 5*j + c. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -597419 and 1676 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 3:11 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 109, 163?\n\"Answer: 54*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z = 3678 - 31020. Calculate the remainder when z is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + (-90)\/8. Suppose -4*f - 60 = -3*i + i, 90 = 5*i + 2*f. Suppose -i*v - 192 = -4*v. Which is greater: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -107.83232 and 253.\nAnswer: 145.16768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 818802 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12233\/8 + -1527. What is the common denominator of 39\/20 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-243*s**4 + 5070*s**3 - 5070*s**3)*((-1 - 4 + 3)*(0*s + 7*s - 3*s) + 0*s - 2*s + 4*s).\nAnswer: 1458*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-13 + 5)) + (-57 - -5).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -16391833?\nAnswer: -4\/16391833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3947, 4, -236.\nAnswer: -236, 4, 3947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23302 + 21132130?\nAnswer: 21222032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m = 68 + 199 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -928 + 1736. Is s a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 455.2334 millennia?\nAnswer: 45523.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 10 - (-1 - -6). Suppose 2*n - z = c + 3, -2*n = -3*z - 21. Calculate the smallest common multiple of 35 and n.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9) + (-16)\/90. Let b = -84 + 59. Let j be (-4 - -8) + b\/7. Is g at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:34 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -127 and 1703107.49403.\nAnswer: 1702980.49403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/4615 - 987568\/96915. Let l = -501249143\/64756860 + 1\/308366. Let y = l - x. Find the common denominator of -63\/22 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -35.2871261.\nAnswer: -30.2871261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*r + l, -4*l = 0. Suppose -r*f + q = -3, -3*q = -2*f + q - 6. Factor -7*h**f + 0*h - 3*h**4 - 4*h + 4*h - 2*h**2.\nAnswer: -h**2*(h + 2)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 23*n**2 - 126*n + 14. What is b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077108871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 144. Let y be h(27). Solve 3*q + y = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141484 less than -141482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12\/13 + -58\/91. What is the third biggest value in -2\/3, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 371\/228 + 3\/76. Let q = -11 - -16. Let g = 20199 + -20195. Which is the nearest to q? (a) l (b) g (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 5 + (-47 - -51)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7)*s)**(-48)\/(s**(-1\/2))**(1\/4))\/((s\/s**(-2\/9)*s**6)\/(s**(-1\/2))**(-15)) assuming s is positive.\nAnswer: s**(-30901\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/16 and 61\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**2 - 38*y + 2. What is the units digit of x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b9 - 361c?\nAnswer: -3ed6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49792 and 116700.\nAnswer: 3734400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = 30*j - 72. Solve 8*w + j = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 41*g**4\/4 + g**3\/6 + g**2 + 7. Let n(i) be the second derivative of l(i). Is n(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15318658955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.3, -3, 2\/89, -0.19 in descending order.\nAnswer: 6.3, 2\/89, -0.19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 8, p: 1}. What is prob of sequence pe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*o + 7 - 29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let d = 528.9 - 529. Sort d, 0.08, t.\nAnswer: d, 0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**3 + 16*y**3 - 24*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*h + 70*h = 15. Suppose 2 + h = 2*f - i, -30 = -4*f - 2*i. What is the remainder when f is divided by -6*20\/(-15) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -157.77?\nAnswer: 631.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*((c*(c\/c**(1\/10))\/c*c*c)\/c)\/c)\/c*(c*c*c**15)\/c)\/((c\/c**(-2\/25))\/c)**44 assuming c is positive.\nAnswer: c**(769\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 122 - 1 - ((-126)\/21)\/(-1). Calculate the greatest common divisor of l and 2530.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -352, -1321, -2918, -5137, -7972, -11417, -15466, -20113?\n\"Answer: w**3 - 320*w**2 - 16*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106 and 0.2173.\nAnswer: -23.0338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 151 + 39. Suppose 4*f - 186 = -3*s, 2*f + 5*s = f + k. Let m = -19 - -51. Calculate the greatest common divisor of m and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 6*b**2 + 2*b + 4. Let f be c(6). Suppose 4*u - 80 + f = x, -3*u - 2*x = -48. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 12 = 6*u, -4*u = -5*w + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -13555203?\nAnswer: 13555155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4940582 to the power of 1\/2, to the nearest integer?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*q - k, 0 = -5*q + 24*k - 26*k + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:36 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**6\/3 + 6*o**5\/5 + 9*o**4\/2 + 10*o**3\/3 + 323. Factor d(n).\nAnswer: -2*n**2*(n - 5)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l - 15. Suppose -2*y + l = -b, 5*b = -y - 0*y + 8. Factor 2*o**2 - 7*o + 2*o + y*o.\nAnswer: 2*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 62, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**3 - 28233362*q - 211710227?\nAnswer: 3*q**2 - 28233362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2936*q. Let w(j) = -j. What is w(u(y))?\nAnswer: -2936*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/56 and 64\/77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*1 + 4\/4. Let n be (w\/(-3))\/(2\/(-4)). Let a = -3 - -5. Solve -y + n*c = 0, 2*c = a*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25864149.\nAnswer: 3, 19, 453757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117969855.\nAnswer: 3, 5, 43, 182899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.4, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -569*k**4 - 4*k**2 + 88*k**2 + 16*k**2 + 260 + 340 + 571*k**4 wrt k.\nAnswer: 8*k**3 + 200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - a - 4 = 0, -d + 16 = d + 3*a. Suppose d*y - 28 = 176. Calculate the greatest common factor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.5 - -0.5. Let p = -4.54 + -0.46. Let d = p + m. Which is the nearest to -0.2? (a) 0.3 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9958?\nAnswer: 2, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 119*c**2 - 56*c + 184. Give a(-59).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -3*i**2\/2 - 51*i + 1. Let r be 2\/(-4)*((-200)\/(-2600) + (-441)\/(-13)). Let z be n(r). Which is smaller: z or 8\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -64 + 40. What is the remainder when 12 is divided by (-10)\/15 - (-28)\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -472\/515 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/8547770 and 61\/6993630?\nAnswer: 76929930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**5\/35 + 6*a**4\/7 - 47*a**3\/7 + 107*a**2\/7 - 96*a\/7 - 741. Factor f(y).\nAnswer: -(y - 16)*(y - 6)*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**2 - h**2)*(0 + 0 + h)*(0*h**2 + 7*h**2 - 2*h**2).\nAnswer: -15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 16*f**2 + 41*f + 140. Calculate the remainder when d(-11) is divided by 54.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5773326310 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7901 times -4?\nAnswer: -31604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21783169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 137*d**2 - 709*d + 104. Give m(-142).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1.4. Let j = -41 + 41.02. What is the biggest value in j, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-112)*(-58 - (-16 + 6))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -1701\nAnswer: -8\/1701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*h + 11 + 5, 0 = -4*p + 3*h - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 20. Let z be 44\/10 + (-4)\/d. Suppose z*j - 6 = 2. Solve -j = -2*o + o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09206 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 120*z. Let b(p) = -82*p. What is g(b(n))?\nAnswer: -9840*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdj when three letters picked without replacement from qjffffffqkqffjdjfkq?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8465*k**5 + 11*k**3 - 117767*k wrt k?\nAnswer: 169300*k**3 + 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -73. Suppose -4*x = -4, 4*x = -0*p + p + 4. Is m smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 5)*(-5*x**2 + 2*x**2 + 2*x**2)*(0 - 2 + 4)*(-5 - 95*x**3 + 5).\nAnswer: -760*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/165)\/(4\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, w: 2, e: 2, q: 2}. Give prob of sequence ee.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.235 + 0.165. Which is the nearest to 2? (a) k (b) -0.1 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 383 - 379. Let a = 3261935\/21 - 155416. Let n = 256\/3 + a. What is the biggest value in 4\/9, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2535, 2971, 3697, 4713, 6019, 7615?\n\"Answer: 145*u**2 + u + 2389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 804*d**2 - 100497*d - 368. What is p(125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029436.\nAnswer: 2, 61, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -22*g + 296 + 320 + 328 - 1066. Give i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*u + 72 + 42, -4*u + 5*p + 228 = 0. Let m = u + -25. Calculate the remainder when 188\/3*6\/4 is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884.12045 less than 11?\nAnswer: -1873.12045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k + 9. Let h(m) = -m + 1. Let s(g) = -6*h(g) + n(g). Determine s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from pzppzjp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6316843.\nAnswer: 13, 17, 101, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(110) + sqrt(110)*2)*6 - sqrt(110))\/((sqrt(70)*2)\/sqrt(7)))**2.\nAnswer: 28611\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12028924*t**5 - t**2 - 4*t - 453853?\nAnswer: 721735440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 1 b when three letters picked without replacement from hihgiggibhggs.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/2131 (b) 24 (c) -50 (d) -5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(95) - 1*sqrt(95))*5 - sqrt(95)) + 2*sqrt(95)*-3)*4)\/((sqrt(720) + sqrt(720)*-4)*-5*-5).\nAnswer: 7*sqrt(19)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/672 and -211\/117600.\nAnswer: 117600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -210.3 - -193. Let d = 17.299774 + i. Round d to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350106 to the power of 1\/2, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 12*s + 33. Let a be u(4). Find the second derivative of 6 - 22*k - a - 39*k**2 - 3 wrt k.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 - -4.6. Let w = 1 - t. Let l = -0.4 - w. Which is greater: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + 6040\/(-16) + 9\/6. Let u = z - -671. What are the prime factors of u?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2420 and 846758.\nAnswer: 8467580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020 + -1000211?\nAnswer: -1020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, t: 14}. Give prob of sequence tt.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 1, -7*c + 21 = -2*c - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/4 + 15*t**3 + 5*t**2. Is 27 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 65 = -17. Let k(d) be the third derivative of 1\/100*d**5 - 2*d**2 + 0*d + 3\/40*d**t + 1\/5*d**3 + 0. Factor k(p).\nAnswer: 3*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 11. Let l be b(-10). Let p be -1 + 4 + 0\/2. Calculate the highest common factor of l and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 15*v - 31. Let y be x(-17). Let r be 0\/(5 + (-5)\/(5\/y)). Solve -5*n = -r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 13 = 4*z + 5*u, 0 = -4*z - 4*u + 28. Suppose 2*x + z*x = 8. Solve 10 = y + 4*g - 4, 2*g = -3*y + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let c(k) be the third derivative of -631*k**5\/60 + k**2 + 196*k. Calculate j(c(f)).\nAnswer: -631*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 + (-31)\/((-217)\/(-42)) + 1005\/(-306) and -39\/527.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2723 = -2*i, -4*l - 6*i + 10892 = -i. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 835458 - 3*w + 835458 + 7*w**2 - 34*w**2.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*u = 12, -1508*k + 2*u + 16 = -1509*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 <= 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/7, -10.6, 3\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.104051 to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204 - 29*r**3 - 204 + (3*r**2 + 2*r**2 - 6*r**2)*(-2 - 2*r + 2) - r + r + 2*r**3 to j*r**3 + h + s*r + w*r**2 and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 369?\nAnswer: 6273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -z - 4*q, 5*z = q - 64. Let o(w) be the third derivative of -w**6\/120 - w**5\/5 - w**4\/12 - w**3\/6 - 9*w**2. Is o(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17, -5, 4\/5, 25?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 283909653094 and 215.\nAnswer: 283909653309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*o**(2\/5)))\/o)\/o)**2)**(-2\/21) assuming o is positive.\nAnswer: o**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tutuubxuxuxuuxtnvn. What is prob of picking 3 t?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.6, -2, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 12:43 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011744817 rounded to five decimal places?\nAnswer: 0.01174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 29*i**2 - 31*i**2 - 3*i - 17*i**3 - 19*i**2 - 8*i**2.\nAnswer: -17*i**3 - 35*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**3 + f**2 - 7*f + 1. Let l(k) = k**2 + 1. Let m(y) = -h(y) + l(y). Find the second derivative of m(i) wrt i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68) + sqrt(17)) + (1*sqrt(425))**2 - ((4 + 0 + sqrt(272))**2 - ((0 + sqrt(272) + -2 - sqrt(272)) + sqrt(272))).\nAnswer: -25*sqrt(17) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 11*u. Solve -4*n + 6*n = -8, u = -2*d - 2*n - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b + 711. Let w(u) = 37*u + 2130. Determine -17*c(s) + 6*w(s).\nAnswer: s + 693","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, 0.8, -1\/7, -17, 18 in ascending order.\nAnswer: -17, -1\/7, 0, 0.5, 0.8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/((g\/(g*g**(3\/17)))\/g))\/(g*g**1)**(16\/11) assuming g is positive.\nAnswer: g**(-3290\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a micrometer in nanometers?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let v be q(1). Let l(b) = -5*b + 119. Let c be l(24). Sort 0, c, v in increasing order.\nAnswer: v, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1620) + 5*sqrt(35)\/sqrt(7).\nAnswer: 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*n + 12. Solve d + 1 - n = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) 0.4 (c) 4\/145 (d) 0.1 (e) -28 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 1 - 403*w.\nAnswer: -403*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504368986.\nAnswer: 2, 7879, 95467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 214974428*f - 214974433*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5180 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58606.8 kilograms in milligrams?\nAnswer: 58606800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -86, 2, -22, -4, 5, -3 in descending order.\nAnswer: 5, 2, -3, -4, -22, -23, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -492 * 5.\nAnswer: -2460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1731.54943 + -1738.849. Let u = -1.82 - -9.12. Let q = a + u. Round q to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -w + 237, -w + n - 3*n + 261 = 0. Calculate the highest common factor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.151 and 5.\nAnswer: -45.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-289)\/(-1156) - (174\/(-8) - 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36 - 1*(-52)\/16*-4. Solve 4*g + u - 3 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -10. Put 1\/3, q, -4\/5 in descending order.\nAnswer: 1\/3, -4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 2 - -5) + 0. Suppose -a = 6*r - r - 45, 80 = 3*a + f*r. Solve 0 = x + 4*x - a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**18)\/q)\/(q\/(q*q**13*q))*(q\/q**17)\/(q*q**(-1\/3)*q) assuming q is positive.\nAnswer: q**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330636 or -330645?\nAnswer: -330645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14360100 divided by 478670.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -995668*r**4 - 3413*r**2 - 102?\nAnswer: -23896032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52791*s*v - 249*s + 16 wrt v.\nAnswer: 52791*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.004, 0.3, 5, -18.6, -0.183.\nAnswer: -18.6, -0.183, 0.004, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from gqs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -944 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 0.1 (c) 12 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*p = 224 - 210, 4*l = 5*p + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 629\/30 - 33\/10. Calculate the common denominator of t and -60\/427.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/j)\/j*j**(-3\/5)*j*j**(-1\/9)\/j**(2\/9)*j**6*j*j**(1\/5)*(j*j\/j**(-1\/6))\/j**(-5) assuming j is positive.\nAnswer: j**(223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 9. Let y be l(7). Let d = -493 + y. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7108*p**4 + 2*p**3 - 196659*p wrt p?\nAnswer: 85296*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 3:58 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 4*s - 473240, -i + 47316 = -24*s + 22*s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71406 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 16*o + 3*s = 102, -o - 4*s + 24 = 0. Let k = -43 + 60. Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)\/(-3 - -2). Suppose 0 = 3*r - 4*r + i. Do 0.07 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16*c + 12. Let n(u) = -1. Suppose 3*t - 14 = -2*x, 5*x - 6*t + 9*t = 17. Calculate x*z(s) + 12*n(s).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221106 is divided by 11050?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.11 (b) 0 (c) -7 (d) 727 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 0*y)*(y - 2*y - y)*(-5*y**2 + 1 + y**2 - 2).\nAnswer: 8*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 521897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-48 + 24) - 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 + -17?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 3. Let o(y) = -y + 1. Let l(i) = 5*o(i) - 2*v(i). Let u(x) = x**2 - x + 8. Calculate the remainder when u(0) is divided by l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186382321 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47672*k**5 + k**4 + 619*k**2 + 2*k + 25.\nAnswer: -2860320*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-3136)\/518 + 54*(4005\/370)\/(-9)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*q + 12, -3*t - 8 = -3*q - 2*q. Let r be q*(1 + -2)*1. Put r, 1, -2 in descending order.\nAnswer: 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 31, -0.1, -0.5, 4, 6\/17 in decreasing order.\nAnswer: 31, 4, 0.5, 6\/17, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:39 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 9*s**2 - 9*s - 6. Let q be u(-8). Factor 0*b - 4*b**2 - 12*b - q*b**3 - 6*b + 16*b**2.\nAnswer: -2*b*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*s + 29 + 84*s + 17 - 45*s as i*s + m and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*y - 2621 = -111*y + 1180 + 1479 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 16*c**2 - 2 + 6*c - c. Let w(j) = -15 + 13*j**2 - 7*j**2 - 2*j + 16. Determine -4*p(i) - 9*w(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 13*k + 37. Give y(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 6:16 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459 = 94*u + 2515 - 342 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qsnnnnq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*z + 332*z - 52*z + (-2 - z + 2)*(2 - 1 + 1) - z + 0*z - z)*(-2 + 0 - 1) - 3*z - 2*z + 4*z.\nAnswer: -592*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = -3*k. Suppose -2*l = 4, -c - k*l + 182 = -l. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdu. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = b + 3*j - 9, 0 = -2*j - 6. Solve -4*n = -2*o - 16, -o + b = -20*n + 23*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317194926 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 5549*k**6\/6 - k**3 + 651*k - 4022. What is the third derivative of u(j) wrt j?\nAnswer: 332940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*t + 47, 4*k + 7 = -3*t - 26. Let j be (1 + 7)*(13 + k). Let v = 65 - j. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00945 + -863025.\nAnswer: -863024.99055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -293*(10\/5 - 24). Suppose 0 = -7*f + 14631 + s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 8*a - 13. Let o = -199 + 195. Let i be d(o). Solve 0*m - 2*w = 2*m - 2, -5*m + i*w - 11 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5 + 40*z**4 - 246*z**3 + 508*z**2 - 433*z + 132 = 0. What is z?\nAnswer: 1, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 (base 8) in base 3?\nAnswer: -11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j + 49. Let v be d(-4). Let x(t) = t**3 + 3*t**2 - 2*t + 2. Let r be x(-3). Find the third derivative of r*l + v*l**2 - 8*l + 6*l**3 wrt l.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83? (a) -5 (b) 0 (c) 3\/143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0\/4 - 36002. Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:01 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1949.44855 + -123861200.55145. Let s = 123863146.13000289 + a. Let x = -3.87 - s. Round x to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1371002 grams in tonnes?\nAnswer: 0.0000001371002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*h + 56 = g, 3*g - 175 = h. Suppose q = z + 8 - 56, -z = -3*q - g. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (-11 - -29) - 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2 and 105\/1102?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 4 (c) 8\/9 (d) 0.5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -5995, -21022, -50289, -98542?\nAnswer: -170527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -569, -752, -885?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3364*c - 2537. List the prime factors of d(5).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 426\/(-21) - (-2)\/7. Let p be ((-6)\/10)\/(6\/c). Solve 0 = r - p*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100783 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x. Suppose 3*c - 14 = -5*q, -2*c + 8 = 3*q - q. Let g be f(q). What is the least common multiple of 6\/g + (-4)\/(-8) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.1 - 6.1. Let o = 166 - 165.9. What is the closest to 2\/3 in -5\/3, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 8*x - 10. Give f(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5. Sort 4, 0, o, -1 in decreasing order.\nAnswer: 4, o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/(-33)*(423\/(-658))\/(15\/(-7)) and 58\/1749.\nAnswer: 8745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.28 - -3.198. Let i = 0.918 - c. Which is smaller: i or 9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-1*3))\/((-33)\/((-6930)\/56)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2166 = 5*b + 2159, 0 = -o - 2*b - 18 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 43849?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00677 rounded to 4 decimal places?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -1665*q**2\/2 - 437*q + 1419. What is the derivative of t(s) wrt s?\nAnswer: -1665","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.05 (c) -2 (d) -2\/85 (e) 4 (f) -2\/267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 333556, 667101, 1000646?\n\"Answer: 333545*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(0 + 0 - 1). Let k = 3 - i. Which is greater: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 180477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*z - 1701 + 1683 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385156912?\nAnswer: 2, 7, 3438901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262597, 262599, 262611, 262639, 262689, 262767?\nAnswer: 262879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114659 - 57349 + 43*f**3 - 57310 + 11*f**3.\nAnswer: 54*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 236 divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 19, -12\/5, -5 in increasing order.\nAnswer: -5, -12\/5, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.1895 to 1 decimal place.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/228576 and -123\/160.\nAnswer: 1142880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74118 at most as big as 74100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 31*m**3 + 20*m**3.\nAnswer: 49*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*c + 3013878 + 3651760, c = -5*s - 33328208. Let o = -6464358 + s. What is o rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2. What is the units digit of (-2)\/4*(-37 - m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 0*x - 5\/2*x**4 + 0*x**5 - 33 + 5\/2*x**2 + 5\/6*x**6 + 0*x**3. Solve l(y) = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + -1*-6*(0 + sqrt(288)))**2.\nAnswer: -576*sqrt(2) + 10382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750\/900*18\/(-20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = 10. Is -1*(-31 + 3) - q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -636 divided by -3\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05077 - -0.04923. What is the nearest to 3 in m, 0.028, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.95756*-4.9\nAnswer: 4.692044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 - 57 = 0. Let w = q - 29. Let n be 5\/w - 10\/(-4). Solve -n*j - 4 - 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*q - 0*q - 2*o, 5*o + 9 = q. What is the remainder when 16 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 694 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*(f\/f**(2\/19))\/f)\/f**(-7)*((f**(1\/2)\/f)\/f)**(-5\/9) assuming f is positive.\nAnswer: f**(1223\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/3 - 1466632*t**2 - 1613254134300*t + 19359120010000\/3 = 0. Calculate t.\nAnswer: -2199950, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 29 + 27)*(-4 + 2*m**2 + 4).\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 0*q**2 + 0*q**2)*(3*q - 5*q - q + (-q - 1 + 1)*(-3 + 1 - 2)) to the form f*q**3 + x*q**4 + j + m*q + o*q**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (3 + -3 + 2). Suppose c + 36 = 2*n + i*c, 2*c + 14 = 3*n. Factor l**2 - 10*l**4 + 10*l - 5 + 15*l + 27*l**3 - 46*l**2 + n*l**3.\nAnswer: -5*(l - 1)**3*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175573 - 175576.45463. Let w = -203.67837 + y. Let g = 207 + w. Round g to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.759 centimeters in kilometers?\nAnswer: 0.00725759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 445 + -112. What is the highest common divisor of 37 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*v + 37*v**3 + 10*v + 1 + 1 as x*v**2 + t + j*v + h*v**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 5*a**2 - 13*a + 4. Let h be l(-10). Suppose h = d - 283. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4, -3, 159, -4 in descending order.\nAnswer: 159, 4, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(4*sqrt(36)))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6515762 and -3.5.\nAnswer: 2.2805167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.6 and -1.858?\nAnswer: 58.7128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Let o be (3 - 8) + 1 + h. Let l = 1 + o. Is l > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438092241 take away -4.58?\nAnswer: -438092236.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19 + (0 - -1)*-7. Let p be (-30)\/v + (-225)\/(-78). What is the nearest to 0 in p, -3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -1\/5*x**5 - 3\/8*x**4 + 0 + 3*x + 0*x**3 - 1\/40*x**6 + 3\/2*x**2. Let z(t) be the first derivative of d(t). Factor z(a).\nAnswer: -3*a*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 13*v - 38. Let j be t(-6). Solve -3*w + 24 = 7*g - 11*g, 4*w = -j*g + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571643?\nAnswer: 293, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14060 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*p - 38*l**3 - 18*l*p**2 wrt p.\nAnswer: -2*l**3 - 36*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -420, -421, -432, -459, -508, -585, -696, -847?\n\"Answer: -j**3 + j**2 + 3*j - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027487 rounded to four dps?\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*b - 46, 6*b - b = -5*q + 65. List the prime factors of 4\/q + 15720\/75.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 159, 761, 1779, 3171, 4895, 6909, 9171, 11639?\n\"Answer: -7*b**3 + 250*b**2 - 99*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-33))\/((-72)\/66)*6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1\/2, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/(3\/3 + -3). Let c = k + 7. Let z be 0*(2 - (-4)\/c). Solve z = 4*a + a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 57.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.98 - 0.02. Let i = -1.5 - 0.5. Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-133770)\/(-1170))\/(5\/(60\/(-14)))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-462)\/(-4950) + -3 + 88\/33.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56330?\nAnswer: 2, 5, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 = 20. Suppose -p*l = -5*l - 7. Suppose -4*z - n + 74 = 0, -68 = -5*z + z - 4*n. What is the remainder when z is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 626688 - 626686 + 424*u + 5*u**4 + 3*u**3 in the form p*u + h*u**4 + g*u**2 + c + n*u**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 28 = 7*l. Suppose 6*c = l*c - 6. Let o(y) = 6*y + 1. Does 13 divide o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w. Let c(m) = m**2 + 4*m. Let b(i) = 0*i - 2*i + 3*i. Suppose z = -3*d - 8, 589*z + 2*d = 586*z - 3. Let h(k) = z*c(k) - 4*b(k). Give q(h(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -20. Suppose y*b = 87 + 13. Suppose b*a - 25*a = -80. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 156*v**2 + 2*v - 6. Let g(f) = -f**3 - 178*f**2 + 3*f - 6. Determine 5*b(j) - 4*g(j).\nAnswer: -j**3 - 68*j**2 - 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134438 or -1\/30?\nAnswer: -134438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**3 + y**2 + 2*y + 1. Let d be -4 - 6\/(-1 + -1). What is g(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 14 - 2. Let g = -9 - v. What is the remainder when 29 - (0 - g\/3) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 478, 470, 460, 448, 434, 418?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22979?\nAnswer: 11, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3 = u - 10, 3*h - 3*u + 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 10:35 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let l(t) be the third derivative of -5*t**4\/24 - 2*t**2. Let g(w) = -8*a(w) - 3*l(w). Let j(q) = q. Calculate j(g(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4081*k - 4074*k - 980 = 0. What is the lowest common multiple of k and 77?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(378\/(-256)) + -6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 23*b + 13*b + 97 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1031132?\nAnswer: -1031123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 1:48 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11415600 and 611550.\nAnswer: 34246800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9291 + -4951. Calculate the highest common divisor of 280 and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19974.\nAnswer: 2, 3, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42270, 84542, 126814, 169086, 211358?\n\"Answer: 42272*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehccceec. What is prob of picking 3 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 944457176 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/11 + 3254*g**2\/11 - 738032*g\/11 - 520943520\/11.\nAnswer: -2*(g - 956)**2*(g + 285)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18626095 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:56 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 16*h + 29. What is d(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 2:31 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -228.2 - -228.3. Let m = 4 - -11. What is the closest to 0.3 in m, 2\/5, -2, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1123331301 (base 4) to base 8\nAnswer: -1337561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47905 is divided by 1828.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128324 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0, -0.4, 1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40813133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (30078\/(-60) - 4\/((-40)\/3))\/(-1) is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13888)\/(-21) - 2\/(-3). Let z = -1018 + k. Let r = z - -6050\/17. Which is the second smallest value? (a) 1\/2 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*d = 26, 0 = -0*v + 2*v + d - 2. Let k be (-1 + 2)\/(2\/(-2)). Let a = k + v. What is the lowest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 345563 - 345563 + 32*w**3 + 7*w**4 - 2*w**2 in the form y + v*w**3 + x*w**4 + g*w + p*w**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4, -54\/989 in descending order.\nAnswer: 2\/7, -54\/989, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 6*y**2 - 8*y + 9. What is s(-8)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-14)\/n)**(-25) assuming n is positive.\nAnswer: n**375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:17 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 7*o**2 - 4. Suppose -15*f + 243 = -6*f. Suppose 6 = 3*w + f. Let j(d) = -d**3 + 4*d**2 + 2. Let t = 4 + -8. Give t*s(m) + w*j(m).\nAnswer: -m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h = -52*h + 2*p + 433, -17*h = 5*p - 401 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4254 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 59.1. Which is the smallest value? (a) 2 (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let i be (-1456)\/(-65) - (-4)\/(-10). Let r(o) = 5*o - 13. Let y(n) = i*m(n) + 2*r(n). What are the prime factors of y(5)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204210 is divided by 13613.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 232750480738 + -558\nAnswer: 232750480180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - 2*10\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2*y + 0)*(-y - 2*y + 0*y)*(299 - 651 + 309).\nAnswer: 258*y**2 - 129*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-2*-5 + sqrt(180))\/((4*sqrt(40))\/sqrt(10)).\nAnswer: 33*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373367446 to the power of 1\/3, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.030581571 rounded to four decimal places?\nAnswer: -5.0306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 3\/20*m**5 + 0 - m**2 + 0*m + 1\/12*m**4 + 0*m**3. What is the second derivative of s(d) wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59.5 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/106554 and -97\/30?\nAnswer: 532770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 + 6*n + 6. Let s be (-1 + 0)\/((-1)\/(-6)). Let f be 1\/(2 - (1 - 0)). Let o(w) = w**2 + w + 1. Calculate f*p(i) + s*o(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d*d)\/d)**(11\/2)*(d*d*d*d**(-2)*d*d)\/d**5 assuming d is positive.\nAnswer: d**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y = s, 0 = 4*s + y. Let c be (-8)\/18*(-21)\/(-50). Let k = -388\/1275 - c. Is s equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-257*m**2 + 1961 - 1961)*(7*m - 6*m - 23*m) to q + j*m**3 + h*m + u*m**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14232472711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 339933770 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - a = 8, -4*m - 5*a + 2 = -3*m. Let s = 210 - 207. Suppose -4 = -m*b, s*b + 8973660 = -4*w - 18226334. What is w rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 106626*k + 14211379845.\nAnswer: (k + 266565)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 28. What is d in s*d + 4*d**2 - 3*d**2 - 8*d = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -134221 in descending order.\nAnswer: 2, -7, -134221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let s(t) = -6*t + 10. Determine -5*c(j) + s(j).\nAnswer: -j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(104) - (sqrt(104) + 2*sqrt(104) - sqrt(104)))*4)\/(sqrt(8) - (sqrt(8) + (sqrt(112)\/sqrt(2))\/sqrt(7) + sqrt(8)) - -6*2*sqrt(8))*6.\nAnswer: -36*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23357*y - 2*g + 12 = 23354*y, 0 = -3*y - 4*g - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 66096603 and -0.05386.\nAnswer: 66096602.94614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 5 (c) 2 (d) -87 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 133. Is (-500 - -8)*(-88)\/j + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149 and -42?\nAnswer: -6258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -1 - (-2 - -3). Is 4 + (3\/d - 5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -9\/308 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172266\/231605 + -7\/4211. What is the common denominator of s and -103\/165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900*p**4 + 15104320*p**3 - 8726624*p**2 - 268544*p + 537024 = 0. Calculate p.\nAnswer: -2\/9, 2\/5, 16782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 26 = v + 4*r, 0 = 4*r - 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*j + 7068 = 109*j - 314*j for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from vgvgggggggvg?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/3820 and 77\/764.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -1856. Suppose -4278 + 6180 + 6044 = 274*x. What is the highest common divisor of s and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*f - 17 = 49*f. Solve 0 = v - 5*x - 8, -x - f = -0*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -347\/15 - -70\/3. Let i be (-11)\/6 + (-1 - -3). Which is the second biggest value? (a) i (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*u + 8 = 0, -u = 51094*p - 51097*p - 20 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 208564760 in descending order.\nAnswer: 208564760, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 11*w**10\/30240 - w**6\/240 + w**4\/2 - w. Let q(j) be the third derivative of u(j). Find the second derivative of q(s) wrt s.\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/155 - -451\/1085. What is the nearest to -0.3 in 2, 1\/5, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-220)*-11*(-88)\/(-770)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.252 + -0.004. Let p = c + -1.978. Round p to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 105 - 10 + 60 = 0. Solve -f + 11 = w*z, 13 = -4*f - 2*z + z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44223414 - -4?\nAnswer: 44223423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (14 - 5 - (-32 + 31))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -973232 divided by 18716?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5131 - -5148. Solve -n = -4*y + s, -26*y + 4*n + 5 = -31*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 98\/17 (b) 1 (c) -13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31045 (base 7) to base 4.\nAnswer: -1312123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.38 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2127, 4440, 6935, 9612, 12471?\n\"Answer: 91*c**2 + 2040*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*b - 1. Let i(z) = 2*z**2 + z + 3. Let k(x) = 5*x**2 + 2*x + 5. Let w(q) = b*k(q) - 5*i(q). Find the second derivative of w(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**2 - 115*o + 5. List the prime factors of t(-7).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/5*(2786 + -22 + -24) is divided by 359?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 74 = 3*f + 238, -2*g = -3*f + 164. Let a = g - -89. Suppose -a = 11*l - 51. Solve 5*o - v = -3*v - 11, -o - l*v = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3, 3*j - 4*j - 12 = 5*m. Let d be 7\/21*0\/(m + 0). Let g(s) = s**2 + 6*s + 3. Let y be g(-4). Put 4, d, y in descending order.\nAnswer: 4, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3724 = 1466*s - 241*s + 3626 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.14 and 97.\nAnswer: 498.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*s - 37 - 3 = 0, -3*m + 3*s = -45. Let i = 48 - -8. Calculate the remainder when (i - -1)*30\/45 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 + 7 = -4*h, 3 = -4*u - 3*h. Let r(w) = w - 1. Let z be r(u). Suppose -5*y = -3*g, -z*y = g + 2*g - 21. Which is smaller: -0.02 or g?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 5*o**2 - 4*o + 8. Let n be c(-6). Let s(p) = -p**2 - 5*p - 4. Let r be s(n). Suppose t = -r*t + 4. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 124. Let b = u - -37. What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.28142797 rounded to two dps?\nAnswer: -3.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 2*s - 5*s. Let a be b(-1). List the prime factors of -15*a*(-2)\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 3*f - 16 - 1, -26 = -3*d - 11*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 504019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1023, -0.2, -5, -3, 22, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1002?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.36 in 6237, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iik when three letters picked without replacement from kqkmii?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -526 - -522. Sort 256, 0.4, d in ascending order.\nAnswer: d, 0.4, 256","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + 3*j**4 + 2*j**4)*((1 - 2 + 3)*(-2 + 0 + 1) + 5 + 0 - 2 + 2 - 4 + 0 + (-8 + 18 + 12)*(2 - 1 + 0)).\nAnswer: 126*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 482 - 328. Calculate the remainder when f is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/71, 3, -2, -1\/3, -11, -3, 1 in descending order.\nAnswer: 3, 1, 2\/71, -1\/3, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17370989 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 11*l + 30. Which is the smallest value? (a) 0 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 3)*21\/(-39 - -60). Find a such that 1\/2*a**h + 0 - 11\/2*a = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 234, 240, 246, 252?\n\"Answer: 6*s + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 2) + -46 + 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 + 4*u**3 - 7*u**3)*(4 - 6 - 1)*(5*u - 2*u - 2*u).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003364 rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8 + 21*k**2 - 11*k**2 - 11*k**2 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(3\/7)*f**8*((f\/(f\/((f\/(f\/(f\/(f**(-1)*f)*f)*f))\/f)))\/f)\/(f*(f\/(f*(f*(f*f\/(f\/f**(-12)))\/f*f)\/f))\/f*f) assuming f is positive.\nAnswer: f**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/40 - 5*l**4\/24 - l**3\/3 - 5*l. Let b(m) be the second derivative of r(m). What is the derivative of b(k) wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 44 + -68 + 26?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7556654443?\nAnswer: 13, 251, 2315861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 232.\nAnswer: 0, 5, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 7:42 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37 and (-2)\/7 - (-2 + 6\/(-21))?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 divided by -4?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + m - 2, -5*u = -3*m - 0*m + 20. Let i be ((-21)\/12 - u)\/(2\/(-8)). Let j = 40 - 37. Solve -i = -2*w + j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2734 * 0.06\nAnswer: 0.016404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1668*g + 10 - 10 - 1664*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**2 + 117*i - 34. Let d be n(-15). Let a(x) = -4*x + 32. Determine a(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 1548866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485108 and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 87978, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 17*y**4\/12 + 2*y**3\/3 + 3*y**2\/2 - 5124*y. Calculate q(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -2, -31, 1264, 3 in decreasing order.\nAnswer: 1264, 3, -2, -31, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13566599\/2 or 6783299?\nAnswer: 6783299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from eiieiihiqheiqeqehe?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4499, -5239, -5979?\n\"Answer: -740*m - 3759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030427162 rounded to 6 dps?\nAnswer: 0.000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 414369 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101553072 (base 8) to base 15\nAnswer: 17a3bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3228 - -3356. Which is smaller: x or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 13935*q + 55820 = 0 for q.\nAnswer: -2791, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*-8*30*(-3)\/(24\/(-2)). Calculate the highest common factor of 680 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -659341 + 84301 = -64*k. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + (-5 - 17))\/(16 + (-3363)\/210)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1442.73474 microseconds to days.\nAnswer: 0.00000001669831875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 - 1. Let c(v) = 6*v**2 - 224*v. What is c(p(n))?\nAnswer: 96*n**4 - 944*n**2 + 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:04 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 220591556 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*n - 189 + 189)*(-80 - 655*n + 977*n + 80) as o + w*n**2 + r*n and give w.\nAnswer: -3542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19965899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3019301 is divided by 232253?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 182843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4312544 (base 7) to base 11.\nAnswer: -328a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.2 and -123?\nAnswer: 270.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -4, -1977, 132, 0 in decreasing order.\nAnswer: 132, 3, 0, -2, -4, -1977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -446 - -766. Calculate the greatest common divisor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*r + 90530 = 1185*r + 52601 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**2 - 15052647 + 15052647.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -110*v. Let f be ((-372)\/28 - -9)*56\/(-6). Let j(l) = -28 + 2*l - l - 12 + f. Give p(j(o)).\nAnswer: -110*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -380.6 + -52.4. Let t = 513.2 + x. Let g = 70 - t. What is g rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine fifths of a hour?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 68 = 32. What is the smallest common multiple of s and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78375 is divided by 74394?\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4867 times -0.1?\nAnswer: -0.04867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.015 and -10.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000545 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1979 - 1977. Which is the nearest to -215? (a) -5 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 728*g + 2*g**3 - 46*g**2 - 1070*g + 43*g**2 to c*g**3 + v*g + t*g**2 + u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + 9.4. Let d = -13 + r. Let x = d - -11. What is the nearest to -0.1 in 2\/3, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 1200 = 56*b + 30*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Suppose 0*u - 16 = -i*u. Suppose 2*n + 34 = u*n. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91491 - -132893. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-448)\/(-40))\/(3\/((-60)\/8))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1812, -1798, -1786, -1776, -1768, -1762, -1758?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 84.157.\nAnswer: 33.6628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-6) + -1 - (-40 + 40). Sort 739, n, -4 in increasing order.\nAnswer: -4, n, 739","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*-1*(1 + -2). Let w(l) = -7*l - 6. Let f(h) = -11*h - 118. What is the remainder when f(-21) is divided by w(j)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**14*r*r\/(r\/r**(-2\/7))*r**(1\/10)\/r**(-5\/2) assuming r is positive.\nAnswer: r**(606\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 870 and 165.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17681440.6 rounded to the nearest one hundred thousand?\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 39 = 231. Calculate the remainder when 187 is divided by j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 359\/805 - 2\/115. Let q = -330 - -2313\/7. Find y, given that 6\/7 - c*y - q*y**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 45 - 2*m**2 + 9 + 3*m**2 - 4*m. Let p be x(-15). Suppose -27*k + 33*k - p = 0. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 187.\nAnswer: -3\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 838162.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 5*u - 7*u**3)*(-6*u + 11*u + 10*u) + 2*u**4 - 3*u**4 + 0*u**4.\nAnswer: -106*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:41 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(19) + 2 - (1*sqrt(2736) + sqrt(2736))**2) - (-2*-2*sqrt(684)*-2*-2)**2.\nAnswer: -109452 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - r = -0*r - 2, -4*c - 5*r = -10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(19\/4)\/f**(-1\/15)*f\/f**(-24\/11)*f*f\/(f\/((((f\/f**23)\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-10561\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + 1 - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10013733.\nAnswer: 3, 370879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6 = -2*b. Sort 3, 6, b, 0 in ascending order.\nAnswer: 0, b, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slln when four letters picked without replacement from llllnlsll?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/860)\/((24\/35)\/(-12)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -32510082.\nAnswer: -32510082.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 m when three letters picked without replacement from {m: 3, q: 1, p: 6, t: 5}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*p + 5 + (-2 + 2 + p)*(3 - 3 + 2) - 2*p + 0*p + 3*p + 5*p - 6*p + 21*p - 2*p - p + 2*p to the form n + l*p and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 7 (c) 28.5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3300*d + 65. Let i(m) = 254*m + 5. What is -40*i(z) + 3*k(z)?\nAnswer: -260*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 11*x - 37*x + 248 = 20*x - 6*x, 2*i + 3*x - 8 = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*r. Suppose -z - 10 = -r*z. Let s = z + 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**(-8)*y)*y*y\/(y\/y**(-5)))**(-4\/7))**(-32) assuming y is positive.\nAnswer: y**(640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*q**3 - 86988*q**2 - 282868*q - 65280 = 0. Calculate q.\nAnswer: -3, -1\/4, 5440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 28.7. What is the second biggest value in 2, -4, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 27*l**2 - 39*l + 26. Determine a(10).\nAnswer: 2336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 0 + (-74 - (-158 - -72)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 2*n**3\/3 - 3*n**2 + 3*n - 5. Let b be v(4). Suppose -3*w - i + b = -w, -5 = -5*i. Solve -2*z + 1 = -w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170326*z + 2*b + 1 = -1170327*z, -3*z + 2*b + 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 20 - 26. Suppose j*y + 5*i = 4*y - 190, -y - i + 190 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27645984 and 287979.\nAnswer: 27645984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4, 1\/8, -6, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -221*x + 12474. Determine q(57).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c - 1. Suppose -4 = 7*u - 312. Calculate the remainder when u is divided by a(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o**2 + 13*o**2 + 101*o**2. Let x(d) = -5 + 11 + 5 + 2*d - 11. Calculate r(x(y)).\nAnswer: 384*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 130*k - 257*k + 129*k to i + n*k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 648 = 26*s - 62*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-13392)\/(-310) + -21)\/(15\/(-25))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -x + 81, -2*x - 2*l + 324 = 2*x. Let g = x - 81. Suppose -5*c = b - 48, -76 = -2*b - g*b - 5*c. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.0048 (b) 0.5 (c) 76 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i - 5*i + 23*i)*(-2 - 3 + 4)*(-5 + 2 + 2)*(4 - 4 - 4)*(12 + 16 + 1) in the form g*i + z and give g.\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(7\/(-12))\/(1\/4). Calculate the common denominator of -22*(-1 - (-17)\/18) and (-4)\/o*(2 + (-2788)\/(-48)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -15\/1379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 3.84\nAnswer: -72.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r**5\/5 + 687*r**4\/5 - 687*r**3 + 1065*r**2 - 1584*r\/5 - 972\/5 = 0 for r.\nAnswer: -2\/7, 1, 2, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 18. Let w = -1502 - -1526. What is the remainder when w is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 46*t - 32. Let f(v) = 90*v - 66. Let r(m) = -3*f(m) + 5*p(m). What is the first derivative of r(k) wrt k?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 876327 and 24249.\nAnswer: 120056799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 3}. Give prob of sequence tppp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*b + 1038*b + h - 65 = 0, -4*h = -5*b + 131 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 3 + 135*u**3 - 3 - 754*u**3.\nAnswer: -619*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 201. Let d(t) = 7*t - 204. What is -5*d(g) + 4*u(g)?\nAnswer: g + 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9039*o**4 + 17*o**3 - 235090*o**2 wrt o.\nAnswer: -216936*o + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-6)*864\/84. Let g be (-4 - -3)*l\/(-18)*3. Solve -2*t - 20 = -5*i, -2*i + 2*t + 0*t = -g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 1. Suppose -4*d + 3*j = -151453, -2*d + 4*j + 99692 = 23978. Let i(h) = d + 2*h - 37867. Determine i(y(s)).\nAnswer: 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*c - 2*k = 93, 0 = -c - 4*k - 33. Let i = -5 - c. Suppose 8*j - 10*j = -i. Solve -4 = 5*f + g, 5*g = -5*f + j - 26 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502528.2 milliseconds to seconds.\nAnswer: 502.5282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 426 - 424. Solve 0 = -d*c + 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -0 - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 6:02 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 31\/5 - (-14)\/30. What is the closest to 2\/5 in -4, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863862.503 rounded to the nearest 10000?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*o**5 - 15*o**4 + 937*o**2?\nAnswer: 1140*o**2 - 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-6\/17)\/(a**(-1\/2)\/(a\/(a\/a**(2\/11)))))\/((a**(1\/2))**0*a\/a**(-7)*a\/a**(-4\/9)) assuming a is positive.\nAnswer: a**(-30683\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r**2 + r + 1\/5*r**5 + 3 + 0*r**4 + 0*r**3. Differentiate v(k) wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 6*z**2 - 4*z - 3. Let c be n(5). Suppose 0 = -3*a - 5*u + 9, 6 = -0*u + c*u. Sort a, 3\/8, -2\/13 in descending order.\nAnswer: 3\/8, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.1 + -68. Let j = i - -6.9. Put -3, 0.3, j in ascending order.\nAnswer: j, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*m - 13*m - 53*m - 2394 = 0 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 6:56 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -304\/13 - -62243\/65. Let x = q - 934. Which is smaller: x or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 147, 14, 2\/103, 3.\nAnswer: -1\/5, 2\/103, 3, 14, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -11. Does 19 divide ((-114)\/o)\/((-3)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773148 bigger than 5773146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 127\/(-7) - (-1)\/7. Let q = -3953\/24 + 451\/3. Let m = q - x. Calculate the common denominator of m and 29\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4504 and 5630.\nAnswer: 22520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdpjqrrpkrprdqdkpdjp. What is prob of picking 1 q, 1 j, and 1 d?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7864.91 years?\nAnswer: 78.6491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145158667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**5\/20 + g**4\/6 + 5*g**3\/6 - 2*g**2 - g. Let l be b(3). Let 2*o - 5*o**l + 0*o**2 + 2*o + 3*o**2 = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -5 + -1 + sqrt(153) + 5).\nAnswer: -3*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/25 and -73\/39?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 299782763*k - 396242306.\nAnswer: 299782763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635.9016 centimeters to kilometers.\nAnswer: 0.006359016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/9 + 8*r**3\/9 + 220*r**2\/3 + 136*r - 210 = 0 for r.\nAnswer: -15, -3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 997 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 289*o**4\/4 + 4*o**3\/3 + 43*o**2\/2 - 158*o. Is a(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2*u + 21. What is y(-8)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1212033 (base 4) to base 9\nAnswer: 8870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 459040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -64?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - -3.09. Which is the second biggest value? (a) 5 (b) s (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 15812418.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m*m*m\/m**(2\/3))\/m)*m*m*m*m)**(-33)\/(m*m**(-1)*m**(6\/11)))\/((m*m\/(m*m**1*m*m*m)*m)**(2\/17)*(m**(-1))**21) assuming m is positive.\nAnswer: m**(-12587\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {d: 8, v: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3034 - -3181. Which is greater: -0.04 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.09, 16\/3, -374?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b, -5*a + 3*b + b = -1567. Suppose 2*n + g = -a, -3*g - 305 = 6*n - 4*n. Let o = -64 - n. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*w**2 + 51*w**2 + 21*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**3 + 125*l**2 - 86*l + 152. Give w(41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4295\/11, 0.1, -3?\nAnswer: -4295\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -26065000 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*o - 145*o - 4*k + 6 = 0, 0 = -5*o + 3*k - 37 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48\/19 - 1\/38. Let o be (-3)\/(145\/(-40) + 4). Let r = o - -6. Which is the biggest value? (a) r (b) q (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 284, 1129, 2538, 4511, 7048?\n\"Answer: 282*f**2 - f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3579514?\nAnswer: 2, 53, 33769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 + 537*o + 3294. Determine k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, r: 1, b: 2, a: 1, z: 2, e: 3}. Give prob of sequence ea.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.226630515 rounded to 5 dps?\nAnswer: -0.22663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257 + 6*u - 468 - 6*u - 517 + u - 12*u**2.\nAnswer: -12*u**2 + u - 728","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -207*x - 3241. Calculate j(-15).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-3))\/(((-7)\/6)\/7). Let s = t - -14. Let n be (-2)\/3 + 44\/84. Put n, s, 0.03 in increasing order.\nAnswer: s, n, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56473 is divided by 6269?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -104*v**2 + 3424*v - 18884. What is l(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 969 + -969.1. Let l = -4 - -4.43. Are h and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -10*1\/(-2). Let w(q) = q**2 - 4*q - 6. Suppose 3*b + 0*p = -p - 7, b + 2*p + 4 = 0. Let h be w(b). Solve -h*l + 2*l = -j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (5*sqrt(10)\/(sqrt(625)\/sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.38927 to 3 dps.\nAnswer: 2.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.4 rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102202001111 (base 3) to base 10.\nAnswer: -231133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a factor of 821137463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 20. Let c = x - -10. Sort -2, c, 6.\nAnswer: -2, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8968038 rounded to 2 dps?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9766981.8 to the nearest 1000.\nAnswer: 9767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1213, -0.3, 0.5, -1.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -779 or -285?\nAnswer: -779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x - 0*x. Solve -3*n + x = -2*v, -2*n - 3*n + 3 = -v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23288898*b*m - b - 3115225 wrt m.\nAnswer: 23288898*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:20 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -226 - -15500026?\nAnswer: 15477600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -9\/2 (c) 3 (d) -72 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -20.3852.\nAnswer: -20.1852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-14))\/(4070\/2590))\/(34\/(-1309)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:04 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 6*g**2 - 6*g - 2. Suppose -4*h = 5*c + 18, 4*c - 6 - 2 = 0. Let a be m(h). Is 4 a factor of a\/(3 - (-2 - -6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003*t**3 + 201*t**3 - 78*t**3.\nAnswer: -880*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 262.9.\nAnswer: -3680.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2412 + 7475. What are the prime factors of h?\nAnswer: 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 17*v**2. Let s(n) be the first derivative of -n**4\/4 + 2*n**3 + 119. Give -6*i(a) + 17*s(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*s + 210 = 0, 2*h + s = 41 + 46. What is the highest common divisor of h and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 27*h**2 + 7\/2*h**6 - 69 + 93*h**3 + 153\/5*h**5 + 0*h + 357\/4*h**4. Find n such that c(n) = 0.\nAnswer: -3, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -69?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 2*y + 0*y - 3*y. Let o(d) = -1 + 1 - 5*d. Determine o(l(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-8)*(-1)\/((-6)\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 63, 0.08, -2809?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*h + 12, 4*z - z + 35 = 6*h + 4*z + 18 + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 44*o + 21. Let y be n(-21). Is 15948\/y - (-2)\/(-14) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*m*m)**(-4\/25) assuming m is positive.\nAnswer: m**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.5, -4, 2\/11, -2.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9)*t\/t**(1\/5))**(14\/9))**16 assuming t is positive.\nAnswer: t**(-9184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let s be x(-4). Let d = 9 - 7. Sort s, d, -5.\nAnswer: -5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 65*f**4 + 0 + (0*f**2 + f**2 + 0*f**2)*(-3*f - f + f)*(-3*f + 14*f - 9*f + (-f + 3*f - f)*(4 + 1 - 4)).\nAnswer: -74*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 459 = 16*r. Calculate the remainder when 539 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174038 is divided by 380?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - f + 6*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 4*v**2 - 5*v + 4. Let d(z) = 4*z**3 - 8*z**2 - 9*z + 8. Let y(l) = -3*d(l) + 5*s(l). Factor y(w).\nAnswer: -2*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -710 - -711. Let s be 0\/(1 - 2) - -2. Suppose 5*l = s*c - 5, -2*c - 2*l + 3 + 9 = 0. What is the third smallest value in -4, -0.5, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 5*y + 3, -8*h + 3*h - 2*y = 24 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13692156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = 0, -5*o - 3*t = -t - 36. Factor -6 + 2*w**2 + 6 + 4 - o*w.\nAnswer: 2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 28, 41, 56, 73?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -8) + -5 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*k + 637, 110 + 89 = a + 2*k. Let z = a + -241. Put 1, z, -2 in descending order.\nAnswer: 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 951244 from 2.\nAnswer: -951242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17215400, 17215397, 17215394, 17215391, 17215388, 17215385?\nAnswer: 17215382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*w = 1, 0 = 2*f - w + 3 - 2. Let k be 45\/(-6)*(-5 - (2 - f)). Which is greater: 76 or k?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 238*y - 508. Let u(t) = 4*t. Determine u(x(r)).\nAnswer: 952*r - 2032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**19*x)\/(x*x**(-18)) assuming x is positive.\nAnswer: x**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -3 (b) -0.1 (c) 8 (d) -802 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -5. Suppose 36 = -11*u + l*u. Let z(o) = -3*o - 4*o - u*o + 18*o. Let d(x) = -2*x. Give z(d(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -49. Find the first derivative of -141*b**s - 8 + 43 + 116*b**2 wrt b.\nAnswer: -50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931*t + 514*t - 19182 = 0 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -105551 (base 7) to base 12\nAnswer: -aa6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**3 - 2*b**2 - 4*b**2 - b - b**3 + 4*b**3. Let u be v(-6). Suppose 5*c + 30 = 40. Solve c*r = u*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 8379*f + 3605427. Calculate l(-455).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 6. Let q(x) = -x**3 - 1. Let w be (-28)\/8*18\/(-21). Let k(o) = -3*o - w + 4*o - 2*o. Let a be k(-4). Give a*f(l) - 6*q(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 7*o**2 + 5*o - 3. Let f be (6\/(-8))\/(36\/(-288)). Give g(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 2:36 PM?\nAnswer: 37","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Convert -100110010011011 (base 2) to base 10.\nAnswer: -19611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -287, -438, -591, -746?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, m: 3, g: 4, o: 1, q: 3, v: 1}. What is prob of picking 1 y, 1 v, and 2 q?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/2, 4, -27\/2, 6, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/13))**(2\/25) assuming r is positive.\nAnswer: r**(2\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -z - 0*f + 4, -f = -4*z + 25. Is 8 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**4 + 31*z**2 + 25*z wrt z.\nAnswer: 12*z**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Suppose -2*z = -10, 0 = 4*m + 2*z - 0*z - 34. Suppose 5*c + 3*b = m, -5 = 2*c + 4*b - 13. Solve c = -u*t - 3*v - 19 - 11, -4*t + v = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10865.\nAnswer: 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*b + 70, -10 = -5*b + 10. Calculate the lowest common multiple of 5 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371 by -46577.\nAnswer: 371\/46577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 657, 598, 537, 474?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.222.\nAnswer: -0.0666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*t - 16 = 0, -t - 10 = -3*j - 0*t. Suppose -x + 4 = 0, -j*l - 4*x = x + 450. What are the prime factors of l\/(-25) - 4\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*n + 19743 + 18597 + 29160 = 580*n for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31204610 and 9361383.\nAnswer: 93613830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 + 7)*(1 + 3 - 3)*(-32*p**2 + 240*p**2 + 11*p**2).\nAnswer: 4599*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**3 - 4*y**2 + 3*y - 1. Let n(k) = -8*k**3 - 5*k**2 + 4*k - 2. Determine 5*a(r) - 4*n(r).\nAnswer: -3*r**3 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 476 + 437. Let p = -8 - -17. Suppose p*m = -175 + z. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13500989, 13500990, 13500991?\n\"Answer: w + 13500988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34737917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 54. Suppose w = -2*o + 350 + 88. Let z = -134 + o. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 3:40 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(56)\/(2*sqrt(8)) - sqrt(14)\/(sqrt(6)\/sqrt(3))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 2*q + 3*q + (2 - 1 - 3)*(1 - 1 - 2*q) - 30*q - 10*q + 3*q + 8*q - 4*q - q to k*q + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*a + 31460 = 333*a + 1140*a + 106*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48022744 by -4.\nAnswer: -12005686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 28230834*s - 66414999027963.\nAnswer: -3*(s - 4705139)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 1368?\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -330832781.66 minus -0.37?\nAnswer: -330832781.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f + 3. Let b(p) = -3*p + 4. Let l(x) = -6*x + 9. Let w(s) = 13*b(s) - 6*l(s). Determine 5*w(c) + 4*y(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*b + 85*b = -1243 - 1222 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3 = 5*b - h, -5*h + 15 = 0. Suppose b*n - 8 = -2*n. Suppose -13 = -3*x - n. Solve -x*m + 2*f + 2 = -m, -5*f - 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**3 - 17*s**2 - 3*s - 49. Let r(f) = 2*f**3 - 8*f**2 - 2*f - 25. Let y(w) = -3*n(w) + 5*r(w). What is the remainder when y(-11) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((4*sqrt(190)*-2 - sqrt(190)) + sqrt(190)))\/(sqrt(640) + sqrt(640)*2 + sqrt(70)\/(sqrt(14)\/sqrt(2))))**2 + -2.\nAnswer: 3614\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 18528\/378) + (-81)\/(-5103)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110008825.\nAnswer: 5, 4400353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 7 + 1 + (11 - (16 - 10) - -60).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 89. Suppose -u = -3*a - 20. Suppose -4 = -a*c + 16. Solve 2*g + 0*g = c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15560, 27929, 40310, 52703, 65108?\n\"Answer: 6*f**2 + 12351*f + 3203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-902)\/(-41) - (10 - -3) - (-634)\/(-70)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 13*b = -8. Let r be b\/6 - 30\/(-45). Let n = r + -3. Put 5, 2, -1, n in increasing order.\nAnswer: n, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.22 - 18. Let p = l - 1.52. Let i = p - -1.3. What is the second smallest value in i, 0.3, -0.9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1660749, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1644444?\nAnswer: 1644443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + -14. Let a be (q\/(-60))\/((-1)\/(-5)). What is the third derivative of -d**2 - d**3 - 7*d**2 - a*d**3 wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 586.\nAnswer: 1\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let c(t) = -t**3 + 3*t**2 + 5*t - 3. Calculate the least common multiple of c(p) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217373.409938 - 217373. Let a = 0.4685 + -0.0585. Let h = o - a. Round h to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-18))\/((-190)\/(-684)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + 11?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2\/3 (c) -17 (d) -70\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 5, d: 2, c: 3, z: 2}. What is prob of sequence oc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969649 is divided by 969607.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kktkktkkkkktkt.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16*u - 46. Give w(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000644007 rounded to 6 decimal places?\nAnswer: 0.000644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.918 - 10.91. Which is the nearest to -1? (a) p (b) -2 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2103 - (-17 - -16)*5 and 16.\nAnswer: 8432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 6. Let z be y(-4). Let h be (3 + z\/1)*0. Is h >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.739043nm in centimeters?\nAnswer: 0.0000006739043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 2\/9, -3\/7, -620\/3, 2 in decreasing order.\nAnswer: 2, 2\/9, -3\/7, -1.7, -620\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 - 4*g**3 + 0*g**2 + 1 - 8*g**3 - g**2. Let z be a(1). Let d = 8 - z. Calculate the lowest common multiple of d and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (752\/1316)\/((-378)\/(-147))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a = 69*a - 3*x + 44149, 0 = 2*x - 14. Is 30 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1. Let a be (12\/(-15))\/(m\/(-5)). Suppose a*x - 19 + 7 = 0. What is the greatest common factor of 24 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39768 divided by 4?\nAnswer: 9942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -906999 + 1279318. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-33)*f\/(f*f\/f**(-1\/4)))\/(f*f*f*f**1*f)**(2\/57) assuming f is positive.\nAnswer: f**(-7849\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 0*q**2 + 15*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/12*6*-9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 12 = 0. Suppose -2*m - 3*q = -59, 3*m + q = -4*q + 87. What is the remainder when m is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 184*q**2 - 49. Let l(m) = m**2. Calculate n(l(x)).\nAnswer: 184*x**4 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*q - 10 = 0, 12*b - 7*b + 27*q + 11 = -17 + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1377) - (sqrt(1377) + 0 - sqrt(1377))) + 1)**2.\nAnswer: 18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Let m(y) = -y**3 + 25*y**2 - 312*y + 1407. Let t be m(8). Sort t, i, -52.\nAnswer: -52, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 26*r**2 - 18*r - 77. Let z be d(-26). Let n(t) = -7*t + 114. Let g be n(13). Calculate the highest common divisor of g and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.5 times -0.4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 31*g + 6. Calculate the remainder when 20 is divided by c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (0 + 0))\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 13. Let n(m) = 2*m + 7. Let u be (336\/14)\/((-3)\/2). Let b = 27 + u. What is b*n(c) + 6*f(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5588, -28220, -89650, -209276, -406496?\nAnswer: -700708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, 6, 65, 0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 356 + -106. Calculate the highest common factor of h and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280286770 rounded to the nearest one million?\nAnswer: -280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 25*k**2 - 4529*k + 118405. Calculate s(26).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117737723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(1\/13)*k*k*k))\/(k\/k**(-1\/2)))\/(k**7\/((k*k\/(k**6\/k)*k)\/k*k)) assuming k is positive.\nAnswer: k**(-301\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 - (-5 - -3). Let r be (-15)\/(-10)*(-2 + m). Suppose 301 = r*a + 28. What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 234870958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q**3 + 3*q**2 - 2*q - 3. Let l(k) = -31*k**3 - 5*k**2 + 6*k + 5. Let j(u) = -2*l(u) - 5*p(u). What is the lowest common multiple of 114 and j(-2)?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*d**2 - 115*d + 130.\nAnswer: -5*(d + 2)*(18*d - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2022\/(-432) + 2\/16 and (-265)\/30 - 1*-1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04752 times 493?\nAnswer: -23.42736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*k + 116956 = 0, -4*f - 2*k = k - 116956. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/10 - 4*z**4 + z**3\/6 + 14*z**2 + 84*z. Let t be s(-24). Solve 12 = -t*r - 5*o - 33, 4*o = -5*r - 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 1577\nAnswer: 31.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7820 - 68269. Let z = 60442.8866 + m. Let q = z + 6.1. What is q rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w + 166 = -0*i - 4*i + 1719, 3*i + 106 = -5*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, m: 14}. What is prob of sequence mbm?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q*q**(-1\/7))*q))**(-14))**(-6\/11))**34 assuming q is positive.\nAnswer: q**(-408\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2700 - 2708. Sort -2, 3\/7, y, 3 in increasing order.\nAnswer: y, -2, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-13))\/(41\/533).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 23 + 3 + n + (-2 + 0 + 1)*(-3*n + 5*n - 4*n) - n + n + n - 2 + n + 2)*(-3*n**3 + 5*n**3 - 4*n**3).\nAnswer: -10*n**4 + 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39153 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8*x - 108. Suppose -x*c = -32*c + 2035. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/299 or -1?\nAnswer: -14\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 j when four letters picked without replacement from ejjeeeeeej?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-22 + 12 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -751 minus -26506?\nAnswer: 25755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -6, -3.\nAnswer: -6, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 8*x + 4. Let c be k(6). Let y be (-3)\/6 - (-2)\/(-4). What are the prime factors of y - 3 - (c + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 + (111 - 101 - -48)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 - 5*s. Let w(l) = l**2 + l. Let v(u) = i(u) + 5*w(u). Let q be v(0). Suppose q*h - 2 = -2*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 4. Let p be s(6). Let m be 49\/p*(-2)\/14. Do -1\/2 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1143\/16 + 1087\/16. Which is the biggest value? (a) -4 (b) s (c) -9 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*5*10\/75?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1930, 2, 4 in descending order.\nAnswer: 1930, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2*p + p - 3*p)*(82*p - 14 + 15*p**2 - 38*p - 45*p).\nAnswer: 120*p**3 - 8*p**2 - 112*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14400, 29734, 45068, 60402?\n\"Answer: 15334*w - 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*a + 40 = -167*a. What is the hundreds digit of 3345\/6 + 78\/(-12) + a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307778159.\nAnswer: 3, 17, 67, 382727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 72036710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16068009.\nAnswer: 3, 17, 315059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, -1, 0.4, 4\/71, -0.4, 3.\nAnswer: -1, -0.4, 4\/71, 0.4, 3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 86, 84, 80, 74?\n\"Answer: -j**2 + j + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280 divided by -32?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2 - 2)*(-8 + 22 - 15)*(0 + 2 - 3)*(-249 + 249 + 316*l) as q*l + w*l**2 + s and give w.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i. Let m be (1238\/(-14) - 4)*1. Let x = m - -91. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23523 (base 7) to base 16.\nAnswer: 17cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/((-28)\/(-24)))\/1. Let q be (-3)\/2 - (-9)\/w. Suppose -28 = -2*o - 2*o. Solve q = -2*c + 3 - o, -c = 4*d - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yky when three letters picked without replacement from {v: 1, k: 5, y: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(27))**2 + -4 - (-3 + (sqrt(3) - (sqrt(3) - (sqrt(3)*1 + 2))))) + -3.\nAnswer: -7*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 139?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*g**3 - 54*g**3 + 144*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (26\/(-13)*(-34)\/(-16))\/1 and -121\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 59, -5, 0.073?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 8)*2\/6. Solve -r*m + 1 = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + i - 2. Let p be 84\/(-24)*20\/(-7). Suppose -3*s = g + 2*g - 6, s + 3*g = p. What is a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n + 49*n - 64*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 662032 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -230691?\nAnswer: 230694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(59*226\/140007)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334358 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4 + 538*o**3 + 35910*o**2 - 36450*o = 0?\nAnswer: -135, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuju?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012254545 rounded to four decimal places?\nAnswer: 0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(((-12)\/(-5))\/(-4)). Suppose 5*o + 87 = 5*v - 108, 39 = v - y*o. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**25\/g))\/(g\/g**12)*g**(-6)*g\/(g*g*g**(2\/23)*g) assuming g is positive.\nAnswer: g**(-462\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2761*b - 882. Give f(0).\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*r - 3, 3 = j + 2*r. Let a(i) = -j + 2*i + 3 + 3. Let k(s) be the second derivative of -s**3\/6 - s**2\/2 + 23*s. Calculate -3*a(h) - 4*k(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0. Let d = 1.07 + -0.87. Let u be -9*(-1)\/4*(-22)\/66. Sort d, u, l in descending order.\nAnswer: d, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(7\/14*1\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -29, -45, -57?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 + -74.77?\nAnswer: -79.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(4\/(-1) + 3). Differentiate 4*x - a - 6*x + 3*x + 7 with respect to x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 19. Let u = -1 + 3. Suppose -u*r + r = 0. Is f(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171926*y + 27*y**2 + 172027*y - 343953*y.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1290 (base 11) to base 15.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434139938 to the nearest integer?\nAnswer: 20836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 l when four letters picked without replacement from {l: 6, e: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 8:23 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78101 = -10*z + 33189. Suppose 28*s = 152781 - z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 0 - (-18)\/(-6). Let o(g) = 2*g + 1 - 3*g + g**f + g**2 - 3*g**2. Give o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -494, -1018, -1718, -2588, -3622, -4814, -6158?\nAnswer: -7648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:39 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 9*v**2 - 5*v + 5. Let o be g(-17). Let l = o + -249. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 15*i + 19. Let c be j(-16). Suppose 2*q - c - 5 = 0. Solve -u + q*u = 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15324316 (base 7) to base 2.\nAnswer: -101100110100001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*g + 23, -10 - 2 = 2*o + 3*g. Let j be -4 + 3 - o - 1. Is j bigger than 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-18)*(-2 + (-244)\/(-6)). Differentiate -12 - 5*z**3 + c - 8*z**3 wrt z.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/9 - 992*o**3\/9 + 53468*o**2\/3 - 1023760*o + 18072714 = 0. Calculate o.\nAnswer: 33, 61, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*l - 878, -l = 3*d - 3*l + 530. Let x be 580\/(-2) + 8 + 0. Let v = d - x. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8102393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0472 * 0.0083.\nAnswer: -0.00039176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 5 - 3 - 3 + 7*i to the form s*i**2 + x + a*i**3 + u*i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1256)\/840 + (-14)\/(-147).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v**2. Let i(x) = x - 3. Let k(d) = -7*d - 4. Let b(p) = -6*p - 3. Let q(s) = -6*b(s) + 5*k(s). Let l(f) = -4*i(f) + 6*q(f). What is t(l(j))?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59533099.\nAnswer: 17, 19, 149, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:03 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 890535554 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -3067.\nAnswer: 306.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 192 = -27*n. Calculate the smallest common multiple of -2 + -1 + 21 + 6 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2704868, 10820436, 24346382, 43282706?\n\"Answer: 2705189*z**2 + z - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03417778479 rounded to six dps?\nAnswer: 0.034178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 45 = 13. Let m be 3 + (66 - n)\/4. Suppose -1327 = -m*h + 611. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78802 + -393881\/5. Factor -9*v**2 + 18\/5 - z*v.\nAnswer: -3*(v + 3)*(15*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 1055 = -18*z + 2*j, -4*z + 1408 = 4*j. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, -2\/11, -2\/3, -39?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = -159*b - 163*b - 30*b - 6164 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 45\/98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1110435 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3353068?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 53*a + 215. Let h(x) = 17*x + 72. Let y(p) = -17*h(p) + 6*u(p). What is the hundreds digit of y(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 658667424.87 from 0.74.\nAnswer: -658667424.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -11.2. Let j = b - -14. Put 1\/5, j, -11 in increasing order.\nAnswer: -11, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/2))**(1\/8))**12)**(-6\/7) assuming o is positive.\nAnswer: o**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*a - 301665 = -2121*a - 185*a for a.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/240)\/(8\/(-24)))\/(2\/80).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 18894*t\/5 + 1021492.\nAnswer: -2*(t - 263)*(t + 9710)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.05 (b) 4 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2809796 days to microseconds.\nAnswer: 24276637440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -381, 3423, -37 in increasing order.\nAnswer: -381, -37, 3423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 234861644 - 112469\nAnswer: 234749175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 24 = -3*q. Solve 2*w - q = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*p - 18 = 6*s, 3*s + 36 = -3*p for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 times -726?\nAnswer: 248292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*x + 124 = 0, p - 2*p = -5*x + 10. Let v be ((-40)\/12)\/((-6)\/99). What is the greatest common factor of v and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1102\/(-1463) + ((-2)\/10 - (-243)\/315).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-32)\/4*2) + (-10)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -21550342?\nAnswer: -21550335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/4 - 0\/3. Let l be (6\/s)\/((-5)\/(-10)). Sort l, -1, 0 in descending order.\nAnswer: l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 115*y**3\/2 - 13308845*y**2\/2 - 6075830*y + 578650 = 0.\nAnswer: -1, 2\/23, 115730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z - 3 = 0, -z = 5*s - 7. Solve -s*n = 2, -6*n + n - 5 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*sqrt(250)*3)\/(3*sqrt(12)\/sqrt(6) + sqrt(72)*6).\nAnswer: -60*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2 - 2 + 3 - x + 6. Let l be t(5). Let v be 2 - (1 + -6 - -2). Solve 0 = -4*n - 3*f + 15, -f + v = -3*n - l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -104.8. Let v = 14 - z. Let r = 0 - 0.4. Put r, v, 3\/4 in ascending order.\nAnswer: r, v, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1534*x + 3100*x - 1574*x. Let c(j) = -9*j - 1. Determine z(c(p)).\nAnswer: 72*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + s + 7, -4 = 5*i + 4*s - 54. Let t be 5\/(-2*2\/44). What is the units digit of 66\/t*(-880)\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 10032341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/3 - 562*z**2 + 798*z + 1499. Differentiate r(w) wrt w.\nAnswer: 2*w - 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 (base 11) in base 12?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 3*h - 7. Let k be v(5). Suppose k*y - 4*a - 33 = 0, 1 = y + 2*a - 0*a. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**3\/6 - 260*d. Let z(g) = 14*g + 3. Let v(j) = 41*j + 8. Let m(p) = 3*v(p) - 8*z(p). Calculate k(m(o)).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*u, 3 = -3*y + 2*y - 5*u. Let s(j) = -12*j - 1. Let h(m) = m. Determine y*h(v) + 2*s(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 10*b**2 + 12*b - 12. What is a(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9859 + 9887. Calculate the remainder when 469 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 + -2.3. Which is the nearest to 4\/7? (a) -4 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.7 - -106.3. Let p = -119 + q. Which is bigger: 9 or p?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3771\/7 + 539. Which is the third smallest value? (a) 3 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 17*s**2 - 7*s + 10. Suppose -72 = -4*c + 2*j, 0 = -j + 3*j. Is t(c) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 13. What is the units digit of d(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 75 = 5*r + 2*c, -27 = 2*r + 3*c for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**6\/90 + 2*d**5\/15 - 5*d**4\/12 - 4*d**3\/9 + 8*d**2\/3 - 93*d + 1. Factor u(q).\nAnswer: -(q - 4)**2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 848.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*((-910)\/(-20))\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 + 0 + 0 + (3*b + 0*b - 2*b)*(-4 + 4 + 4*b**2) + (2*b + 0*b + 0*b)*(0*b**2 + 3*b**2 - 2*b**2).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215684 + 215637.9905. Let h = 28 - -18. Let k = h + i. Round k to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21777272 to the nearest integer?\nAnswer: 4667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12815639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*z - 2048 = -9*z - 18*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508023584?\nAnswer: 2, 15875737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-215 + 215 + 116*m)*(-2 + 2 - 1)*(-6 + 1 + 3).\nAnswer: 232*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + 1066\/91 + (-23)\/(-7). Solve -l*u - 4*p + 4 = 0, 18*p - 22*p + 32 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 44 = -2*v, 35 = -2*v + 3*q - 4*q. Suppose 7*r - 66 = 4*r. Let y = r + v. Solve 15 = -h + y*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.0437498 - -15.042. What is h rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8*r = -70. Calculate the greatest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -10, 3\/8, -1\/157, -2, -0.6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 1.45539?\nAnswer: 1.95539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.012 - -1.012. Which is greater: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 10:15 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-6)\/162). Let a be j\/(-132) + 2\/11. Factor 1\/4*s**5 + 0*s - 1\/4*s**3 + 1\/4*s**4 + 0 - a*s**2.\nAnswer: s**2*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 = 2, q = 3*p - 2. Suppose -3*m - 15 = 0, -q*w = w - m - 190. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 5*k + 6. Let n be (-13)\/(-91) - (-68)\/14. Let b(a) = a**2 - 3*a + 3. Give n*b(u) - 3*q(u).\nAnswer: -u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 4*w + 14. Let z be h(3). Let k(b) = 55*b - 80. Is k(z) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-1483.\nAnswer: -14830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzwzzzuuzzzzzzuzzzz. What is prob of sequence wz?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 7*x**2 - 9*x - 10. Let l = 28 - 34. Suppose 0 = 2*u + 4*g + g - 18, 3*u - g - 44 = 0. Calculate the smallest common multiple of u and z(l).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 7*k - 6. Suppose 5*g = -15, -3*r = -3*g + 14 - 35. Let m be w(r). Solve -m = -4*j - 5*o, 0 = 4*o - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14285*a**2*m*u**3 - 12*a**2*m + 3*a**2*u**2 + a**2*u + 4*a*m*u - m*u**2 wrt u?\nAnswer: 85710*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 18723 + 4\/(-2). Let z = 21449547\/286 + -1218314\/13. Let l = z + q. What is the common denominator of 33\/2 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = -4*k, 2*u = -u + 6. Let o(q) = -10*q. What is the tens digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 95, -209, -1085, -2785?\nAnswer: -5561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/3, 2.17 in descending order.\nAnswer: 2.17, 1\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 3 + 3 = 0. Let q = 1 + -3. Let h = q + u. Is -6\/11 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40977 - 3*t - 3*t + 2*t - 40977 + t + 2*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1392*c - 11 - 8 - 10 + 31 in the form d + o*c and give o.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 2*g - 10383146, -2 = -2*g. Let a = 3204878 + -5175926. Let b = a - p. Round b to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + (-3)\/(-9). Let h be (-912)\/(-190) + (-4)\/5. Sort 5, 2, h, k.\nAnswer: k, 2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 17*b + 42. Suppose -59 = 6*v - 11. What is the smallest common multiple of o(v) and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a - 42 = -31 - 191 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*b. Let o be (-1 + -2)*(-3)\/b. What is the first derivative of 0*d + 1 + 3*d**o + 0*d + d**3 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -768 and -5.1?\nAnswer: 3916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3350833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1133*r**3 - 1130*r**3 - 1122*r**3 + 3394*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1105 - -0.3258.\nAnswer: -1104.6742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874 a factor of 11372418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = t + 13, t - 5 = -2*u. Suppose -36 = 5*n - n. Let b be n\/6*(-4)\/u. Solve -6*y + b*y = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*r**3 + 3*r**2*w**2 + 45*r*w**3 + 2*w**3 + 79 wrt r?\nAnswer: 9*r**2 + 6*r*w**2 + 45*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2519357254 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 + 3*q - 1. Let i be (4 - 1) + (-4)\/(-4). Let s be j(i). Let n = -48 - s. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10691.2 rounded to the nearest 100?\nAnswer: -10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 3380*k + 1689*k + 1692*k + 17.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1088)*3.\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 7. Let a be (0 - -2) + 30\/(-6). Let d(o) = -o + 6. Let k(q) = a*d(q) + 2*s(q). Let b(t) = 2*t - 6. Give -5*b(z) + 8*k(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2, 5, -3\/8, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -5*z**3\/3 + 50*z**2 - 95*z - 2969. Factor t(a).\nAnswer: -5*(a - 19)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211870 is divided by 3644.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/11, -50, -3, -395\/2, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 10*r**2 + 15*r + 25. What is b(-11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3}. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3244 - 3195. Solve -d = 13*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24526649970 + 4*w**2 - 24526649960 + 0*w**2 - 343*w**3 + (-3*w**3 + 3*w**3 - 2*w**3)*(-2 + 1 + 0) as p*w**3 + j*w**2 + r + k*w and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1985741*a**5 + 1995096*a wrt a.\nAnswer: 39714820*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -2326835?\nAnswer: -9307340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118, -193, -268, -343, -418?\n\"Answer: -75*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxxkvkeeieee. Give prob of picking 1 k and 1 i.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -2*o - 4*m, 8 = 3*m + 2. Let n = o - 62. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(-2 + 0 + 1) - 2 + 2 - 2)*(-92*h + 118*h + 50*h + (2*h - 2*h + h)*(4 - 1 - 1)).\nAnswer: -312*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14*(-1)\/(-70) + (-2884)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: Calculate the greatest common factor of 4555978 and 504.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.084977 plus 0.682?\nAnswer: 38.766977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -135087, -135088, -135089, -135090, -135091, -135092?\n\"Answer: -r - 135086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-16)\/(-3))\/(-4))\/((-1)\/3). Suppose -g*a - 188 = -y, 2*y = 5*a + 146 + 92. Round a to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 6*g + 11 = -3*g, 0 = -5*g + 25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 138843 - 3?\nAnswer: 138840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -2408, -8132, -19276, -37646?\nAnswer: -65048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.5, 2, -2, -862 in decreasing order.\nAnswer: 2, 1\/5, -0.5, -2, -862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 322610823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvfoxpl. Give prob of picking 1 l and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*d + 95 = 0, -m + 4*m = 2*d + 58. Let 7*l - l**2 + l**3 + m*l - 3*l - 16 - 7*l**2 = 0. Calculate l.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n + 5*n = -63*n + 248 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 943 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 = 4*z, -3*z + z = 4*a - 2. Let o(s) = -4 + s - a - 10*s. Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4 + 1 + 0 + 4*k + 4. Suppose 2*u - 5*d = -34 + 188, -3*u + 4*d + 238 = 0. Let j = -80 + u. What is a(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -13. Let i = z - 17. Let f = i + 7.6. What is f rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b**2 + 2*b**2)*(-18 - 81 - 22)*(-2 + 0 + 1).\nAnswer: 363*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216643 (base 7) to base 16.\nAnswer: 95fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*v + 5*h, -9*v = -7*v + h - 22 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let m(k) = -k + 4. Let n(x) = 2*x**2 + 2*x - 15. Let t be n(-4). Let g be m(t). Which is the nearest to 1? (a) -2\/3 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 3. Let j(l) = l**2 + 5*l - 6. Calculate j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 32, 84, 168, 290, 456, 672?\n\"Answer: j**3 + 7*j**2 - 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52003603083.2 less than 249?\nAnswer: -52003602834.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3551, 16129, 37745, 68411, 108139, 156941?\nAnswer: 214829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -24*q**2 + q - 1. Suppose 0 = 163*x - 155*x + 8. Calculate a(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8196*y - 4375*y = -2049*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 85 in -0.5, 2, -10, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 11 - 9. Suppose m - 5 = 0, 5*f = -0*m + 4*m - i. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569, -884, -1199, -1514?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1036*q**3*y**3 + q**3*y**2 - 31*q**3 + 4*q**2 wrt y.\nAnswer: 6216*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**2 + 0*o**2 + 7*o**2 - 8*o**2.\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 22*m**2 - 9*m + 107. Give d(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-237)\/(-2 + 18\/10) + 0.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70533)\/39185)\/(18\/(-26))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103459136, 103459134, 103459132, 103459130, 103459128, 103459126?\nAnswer: 103459124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37\/31 - 2171\/155. Let q = r - -15. Is 1\/3 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 3*b + 3*p, 3*p - 5*p = b - 155. What are the prime factors of b?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 210\/27 + -8 + (-184)\/(-18). Let q = -4 + 8. Let t be (-30)\/q*8\/(-6). Is c > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*h - 8*h**4 + 3*h**3 + 25*h**4 - 5*h**3 + 2*h**2 + 170*h as d*h + q*h**4 + z + y*h**3 + u*h**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*y - 35 = 0, 0*l + l - 16 = -4*y. Suppose -x + 50 = -2*c - 5*x, -165 = l*c - 5*x. Let i = c + 275. Is 55 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 14*r + 26 = 12*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744, -1492, -2240, -2988, -3736?\nAnswer: -4484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3107 - 690 = 226*j - 2329 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**7\/105 - 61*y**5\/6 - y**4\/8 + 193*y**3\/3 - 105*y**2 + 3*y. Find the second derivative of q(t) wrt t.\nAnswer: -24*t**2 - 1220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {j: 4, k: 1, e: 1, v: 2, h: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4395808 weeks to minutes.\nAnswer: 4430.974464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 n when three letters picked without replacement from nunwnnnunuzuzz.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 97. Suppose g - 2*i = 401, 1247 = o*g - 0*i + 5*i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 8*r + 2*p = 0, -2*r = -p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20592 and 196680?\nAnswer: 15341040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = -2*j + 326767, 5*j - 8*j + 3*m = -489894. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -62. Let p = n - 69. What is the third biggest value in 14, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1451564*p**2 + 29129162*p**2 + 12573089*p**2 + 9597494*p**2.\nAnswer: 49848181*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 + 36*l + 720.\nAnswer: 2*(l + 30)*(l + 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-2)*(-36)\/(-21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 27*s - 310. Let c be (45\/90)\/((-2)\/(-72)). Is 5 a factor of a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + 0. Let s = 2.5 + l. Let d = -7 + s. What is the closest to -2 in d, -1\/5, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3856320 rounded to the nearest ten thousand?\nAnswer: 3860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199643812 to the nearest integer?\nAnswer: 14130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 329 = -5*z, -243 = -3*l + 6*z - 9*z. Let x = -35 - -20. Calculate the lowest common multiple of l and (-5)\/(x\/(-12)) + 22.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(480) + sqrt(480) + 2*(sqrt(480) - sqrt(480)*-3) - sqrt(480))\/((sqrt(10) + sqrt(10)*1)*-4))**2.\nAnswer: 1215\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r = 989 - 938. Put r, 0.136, -5, 0 in decreasing order.\nAnswer: r, 0.136, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 10. Let l be (k\/3)\/((-3)\/(-63)). Let m = -1062 - -1069. Calculate the highest common divisor of m and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -31212633.\nAnswer: -70\/31212633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*c - 2*c**2 - 67 + 76*c + 67.\nAnswer: -2*c**2 + 280*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3 - 212*p + 6 + 212*p wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 506*o + 956*o - 106117 - 104411 for o.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*f - 8 = -256*f + 2*h, -4*f = 3*h + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**3\/3 + y**2\/2 - 2*y - 1. Let n = -8 - -11. Calculate the remainder when b(n) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3980 and -14.011.\nAnswer: -55763.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -4 (c) -0.012 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -34f6?\nAnswer: 34f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25643, -102586, -230825, -410360?\n\"Answer: -25648*y**2 + y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhoqhbzhhzzhqh. Give prob of sequence bqq.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -249432\/35 + 7126. Find the common denominator of 69\/2 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 662347 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/8 - 1665*p**4\/8 + 752049*p**3\/8 + 3052993*p**2\/8 - 2088867*p\/2 + 1138023\/2 = 0?\nAnswer: -2034, -6, 1, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 11:29 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5040670178 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:24 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222826\/11 or 20258?\nAnswer: 222826\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*g**3 + 52*g**2 + 149*g + 7?\nAnswer: 138*g + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + 11. Suppose 9 = 4*z + 1. Suppose -z*j + 5*b = -k, 2*b + 5 = 1. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 0 (c) 1 (d) 1.97 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 41*c. Let b(g) = -18*g - 6. Let h(f) = 22*f + 8. Let j(r) = 4*b(r) + 3*h(r). What is q(j(d))?\nAnswer: -246*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119, 460, 1029, 1826, 2851?\n\"Answer: 114*n**2 - n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.5. Let r = -144\/745 - 1\/149. What is the closest to r in -2\/3, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 182, 399, 804, 1457, 2418, 3747, 5504?\nAnswer: 7749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 15*q - 5*y - 23, -4*q + 2*y = -22. Let c(b) = -1 + 1 - 2*b - 1 + q. What is c(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cc + -4?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*d + 28, 2*q + 82 - 95 = -d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 55. What is the closest to 0.2 in -0.1, a, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89430 divided by -141?\nAnswer: -29810\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**3 - x**3 + 2*x**3)*(0 - 1 + 3)*(-216 + 17 - 82)*(-x + 2 - 2) as f + u*x**2 + d*x + y*x**3 + h*x**4 and give h.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*j - 16*j + 986*j**2 - 24*j to u*j**2 + z + n*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40952*n + 40953*n + 13 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((5 - 6) + 2 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 13) to base 11\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83a + 3?\nAnswer: 83d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**3\/2 + 115*g - 13. Let l(k) = -3 + 1 + 150*k**2 + 2. Give l(d(a)).\nAnswer: 1350*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 268 + -3714c?\nAnswer: -36ee4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.4, 289, 217\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 587, 1051, 1629, 2321, 3127, 4047?\nAnswer: 5081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 29, 88, 191, 350, 577, 884, 1283?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-672)*-8 + 0.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)**(-4\/5)*f*f**(-3)*f**(2\/11) assuming f is positive.\nAnswer: f**(-144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(147) + sqrt(147))**2 - (sqrt(6)\/sqrt(2)*-6 + -2).\nAnswer: 6*sqrt(3) + 11909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4576 - 5124. Round r to the nearest 100.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13522?\nAnswer: 2, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**2*q + 760*g**2 - 2*g*q + 2064*g + 486384470*q wrt g.\nAnswer: -10*g*q + 1520*g - 2*q + 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.17 and -166.3?\nAnswer: 166.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31, -83, -159, -259?\n\"Answer: -12*c**2 - 16*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - 3*o - 6*o**3 + 0*o**2 - 3*o**2 + 3*o**3 + 66*o**4 - 2 - 58*o**4 to the form q*o + k + f*o**3 + u*o**2 + y*o**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 38498?\nAnswer: 38498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r**2 + r - 2. Let f be j(1). Solve 0 = -3*t - t - f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439144493?\nAnswer: 17, 59, 367, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/7)*y*y**(-6\/17)*y)**(16\/3))**(-9) assuming y is positive.\nAnswer: y**(-11856\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12*z. Let g(q) = -q**3 + 11*q**2 - 5*q - 3. Let k be g(10). Let x(f) = -47 + 2*f - 5*f + k. Calculate x(a(b)).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5931 and -20644.\nAnswer: 122439564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(1\/3)*f*f\/f**(-1\/4)*f**(-2\/11)*f**(1\/5)*f assuming f is positive.\nAnswer: f**(3037\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 11}. What is prob of sequence ee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/9 + 4150*o**4\/9 - 16562*o**3\/9 - 12454*o**2\/9 + 58004*o\/9 - 33136\/9 = 0.\nAnswer: -2, 1, 4, 2071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 15, -y + 29 = 4*g. Suppose 22*r - 24 = 42. Solve 2*d - 3*d + r*q = y, 3*d = -5*q + 19 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m**2 - 7*m. Let z(t) = -2*t. Calculate c(z(b)).\nAnswer: 52*b**2 + 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2. Suppose -5*o + 820 = 5*h, -o - 457 - 35 = -3*h. Let t = -41 + 41. Let y(x) = 164 + t*x - h - 3*x. What is y(l(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 + 1 - 2*c**2 - 5*c**3 - 3*c**3. Let p be w(-1). Solve -3 = -3*q - 5*n + 13, n - p = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 take away 8804844423?\nAnswer: -8804844422.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:44 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-33) + (-6)\/33 + 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and -3 + -26*(-4)\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 2. Let y(d) = 4*d**2 + 8*d + 12. Let c(z) = z**2. Let q(m) = -3*c(m) + y(m). Let x be q(-5). Let i = x - -1. Give f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in 4, 2\/5, -0.01, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 999958485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -2 (b) 434 (c) -252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7683939 to the nearest integer?\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4623367463 to the nearest integer?\nAnswer: 67995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -946385970 by -6.\nAnswer: 157730995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7cbd - a?\nAnswer: 7cb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/2026695 and 101\/165?\nAnswer: 2026695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 2\/3 (b) 4 (c) 320 (d) -1 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8660 - 209. List the prime factors of w.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/5*320\/224*7\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273103 and 5534657.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 2*i. Solve 16 = -0*h + i*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -313c?\nAnswer: -313b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249845 a multiple of 1597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:53 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15164 and -120.4.\nAnswer: -1825745.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.86462 rounded to one decimal place?\nAnswer: 23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k**2 + 30*k + 855*k**3 - 853*k**3 - 5 + 2*k**2. What is the remainder when 345 is divided by v(3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13915722*k**3*p + 2*k**2*p + 1009933*k**2 wrt k.\nAnswer: 83494332*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54\/163 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 127580, 127582, 127584?\n\"Answer: 2*j + 127578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 + 240426*v**2 - 120099*v**2 - 120327*v**2 - 7*v**3 + 3*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88438.36 nanometers to kilometers.\nAnswer: 0.00000008843836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -15 + 39 + -7 + 75?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154664350 by -6186574.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3730 is divided by 1839?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -1.2 (c) 1.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 + g + 8. Let o be n(0). Let i(r) = -2*r - 2 - o + 4 + r. Let d be i(-11). Solve d + 3 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 15*x**2 + 4. Let t(b) = -3*b**3 - 16*b**2 - 5. Calculate 5*c(s) + 4*t(s).\nAnswer: -2*s**3 + 11*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p - 2 - 6*p**2 + 7*p - 20*p - p**3 + 10. Let k be h(-6). Factor 0*i - 2\/3*i**3 + 0 + 2\/3*i**5 + 2\/3*i**4 - 2\/3*i**k.\nAnswer: 2*i**2*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 0)*(492524 - 1590*k - 492524)*(-4*k**2 + 4*k**2 + k**2).\nAnswer: -11130*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*n + 189176 = 113768 - 173712. Calculate the highest common factor of n and 800.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**43*l**(-23))\/((l\/(l\/((l**46\/l)\/l)))\/l**(-22\/3)))**(-12\/5) assuming l is positive.\nAnswer: l**(376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15)\/(336\/44520) - (-6)\/4?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3597*t + 39561. Determine o(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -677 + 981. What is the third derivative of 31*q**2 - u + 304 + 3*q**6 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -7*c. Is c != 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3 - p**3 + 0 - 4*p + 0*p**3 - 4*p**2 - 5. Let u be l(-3). Let o(q) = 4*q**2 + 122*q - 64. Let t be o(-31). Sort u, t, 3.\nAnswer: t, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - -41) + (80 - 79).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is -4095324 greater than -4095327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12 + (21114\/1080 - 8\/10). Solve -2 = -o*i - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:56 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136)*-2*5 - sqrt(136)))\/(sqrt(24)\/sqrt(12)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (29\/(116\/8))\/(740\/368 - 2) and 68.\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-140)\/42)\/(4\/6). Let l = 10 + m. Suppose 0*p = -3*p + 15. What is the greatest common factor of l and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 14 = 13*g. Let n be 0*(1\/2 - 1). Let t(p) = 13*p**2 - 10*p**2 + n*p**g. Let s(f) = -2*f**2. Determine s(t(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (sqrt(891)*-2 + sqrt(891))**2 + (sqrt(891) - (sqrt(891) + 0 + 3))**2.\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 1. Let j = -6.99 - b. Let s = -0.09 - j. Which is greater: s or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/6 - q\/3 + 5\/2 = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299590?\nAnswer: 2, 5, 29959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -910\/876129 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3423741800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:44 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 864.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2345, 33?\nAnswer: -2345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282 + -278. Let n(h) be the third derivative of -1\/54*h**5 - 1\/315*h**7 + 1\/108*h**4 + 7\/540*h**6 - g*h**2 + 0 + 0*h**3 + 0*h. Factor n(c).\nAnswer: -2*c*(c - 1)**2*(3*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 = x - 3*x, -z + 5*x + 30 = 0. Suppose 3*a - 4*v = 32, -4*v - 3 - z = 3*a. Solve 0 = s + u + a, -2*u + 5 = -2*s + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3432.6+2.75\nAnswer: -3429.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-100)\/(-4))\/(-2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269 - 138 - 64)*(-m**2 + 0*m**2 + 2*m - m**2 + 2*m**3).\nAnswer: -942*m**3 + 942*m**2 - 942*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*i**3*s**4 - 48946*i**3*s**3 + 28*i**3*s - 82*i**2*s - i**2 + 16*i*s**2 + 2*i*s wrt s.\nAnswer: -216*i**3*s - 293676*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-23238576)\/88)\/(-18) - (2 + (-24)\/11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 less than 0.0416444?\nAnswer: -285.9583556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + 1790a?\nAnswer: 178a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -10, 5, 44, -1.\nAnswer: -10, -5, -1, 5, 9, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 3*g**2 + g\/2 + 3.\nAnswer: -(g - 1)*(g + 1)*(g + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 7718c4?\nAnswer: -7718bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(2*y + y - y)*(-38*y**2 + 2*y**3 + 38*y**2).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 = -1. Let x = -7 - -6.6. What is the smallest value in c, 1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 7*w**2 - 10*w + 6. Calculate the lowest common multiple of 18 and s(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -233 - -239. What is the highest common divisor of r and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:43 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101.61 and -385.\nAnswer: 39119.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79426379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 4*j + 3. Suppose 4*u - 4*a = 48, 2*a = -3*u - 20 + 76. Let c be -5*(-4 + u\/5). What is the lowest common multiple of t(c) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 12*y - 44. Let k be v(-8). Let u be 37\/(1*3\/k). Is -147 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m - 122. Let w be d(-7). Is (-256565)\/(-46) + w\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/288 and -145\/132?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -260, -5 in decreasing order.\nAnswer: 5, -1, -5, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1.0968.\nAnswer: 0.32904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 6\/9)*(-6)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819 + 6434 = -1269*w + 914*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 119*n - 4. Let o(j) = -355*j + 10. Give 8*d(u) + 3*o(u).\nAnswer: -113*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.25406 rounded to one decimal place?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 3*r**2 + 2*r**5 + (2*r**5 + 3*r**4 - 3*r**4)*(-3 + 2 + 3) - 328*r**2 - 230*r**5 + 328*r**2.\nAnswer: -224*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 38, -5 in ascending order.\nAnswer: -5, -3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 21. What is m(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1234)\/4*(-299)\/7. Let p = -13171 + w. Calculate the common denominator of p and 113\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 3*m + 4. Let s(v) = -4*v**2 + 16*v - 21. Give -11*p(l) - 2*s(l).\nAnswer: -3*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 265 = 4*n + 97, -2*i + 4*n - 70 = 0 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1026*k**2. Let z(a) = -a**2. Calculate z(c(r)).\nAnswer: -1052676*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 3. Let h(k) be the first derivative of k**2\/2 - 2. What is a(u) + 2*h(u)?\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**4\/8 + f**3\/3 + 5*f**2 - 4. Let m(t) = -1. Calculate -4*m(s) - v(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2 + 7*b + 5*b - 7*b**2 + 7. Let k be m(-8). Suppose k = 4*y - 5. Calculate the remainder when 30 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39396 and 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 800 + -798. Let g be (-24)\/(-12) + -2 + -2 + c. Solve 25 = 5*y - g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by -766\nAnswer: 85\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 14*z**2 + 8*z + 15. Let d(s) = s**3 + 3*s**2 - 1. Let r(a) = -2*d(a) + v(a). Give r(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-9))\/((-12)\/36). Which is the nearest to o? (a) -0.1 (b) -2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ancqr. What is prob of sequence raqc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.91 - -0.8. Let k = 1.857 - p. Round k to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/16)\/(5\/((-50)\/(-5)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 10*p**2 - 12*p + 16. Suppose 0 = 22*x - 54 - 188. Let k be w(x). Solve -y + l = 2 + 6, 0 = k*y + l + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-2)\/64)\/(((-976)\/192)\/61)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o - 35*o - 3*o + 65*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6 - 11 + 2*p - 10. What is the tens digit of y(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 - 4*b + 3. What is s(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1051.2857021 and -0.4.\nAnswer: 1050.8857021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8b40a (base 12) to base 5\nAnswer: 21413412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288664 is divided by 26067.\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114528*q**5 - 69508*q**2 wrt q.\nAnswer: -6871680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -6*n**3 + 28*n**2 - 14*n - 8 = 0?\nAnswer: -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 54335.6+-0.4\nAnswer: 54335.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u. Let l(f) be the first derivative of 0*f**2 - 8*f + 0*f**3 - 7 - 1\/12*f**4. Let h(x) be the first derivative of l(x). Give h(d(t)).\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -7*u - 10. Suppose -17 = -u*c + 8. Solve 5 = -c*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197120?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/5 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5053 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**3 - f**2 - 8*f + 1. Suppose h + p + 4 = -4, h - 4 = 2*p. Is a(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -317, -687, -1205, -1865, -2661?\nAnswer: -3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*h + 106. Suppose 3*d - 22 = -c - 2*d, 2*c + d - h = 0. Calculate the highest common factor of c and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -338479 + -71521. What is r rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 2 - 7 + 4. Let u(s) = -9*s - 15. Let k(d) = 15*l(d) - u(d). Let t(c) be the first derivative of c**3\/3 + 1. Calculate t(k(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0 + 5\/336*s**8 + 35\/8*s**4 + 5\/6*s**5 + 0*s - 37*s**2 - 1\/14*s**7 - 1\/4*s**6 + 15\/2*s**3. Factor m(r).\nAnswer: 5*(r - 3)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 17, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1407 and 126630?\nAnswer: 126630","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 16 + 14 + i**2 - 12*i + 6. Let j be l(8). Solve 2*w - 4 = -j*q, -2*q + 6*q + w - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 9) to base 10\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7371.2 to the nearest 100.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 130201, 260401, 390603, 520807, 651013, 781221, 911431?\n\"Answer: y**2 + 130197*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 360025539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460263 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 2960?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 9*h - 4*h)*(-5*h + 4*h - 2*h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:10 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + 50ca9?\nAnswer: 50c93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o - 51*o + 80652. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*c**4 + 735*c**3 + 326807*c wrt c?\nAnswer: 1764*c**2 + 4410*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.6, -20\/17, -43.263?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**2 - 2*z + 10. Let h(u) = 10*u**2 - 2*u + 11. Let n(r) = 6*h(r) - 7*m(r). Let y(j) = 8*j**2 - 6*j + 11. Calculate 11*n(k) + 4*y(k).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.339 + -97.\nAnswer: -96.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25152\/121 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*i + 32. What is the smallest common multiple of 24 and (3 + 2 - i) + 58?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/4, -1, 0, 4, 1.132, -0.3?\nAnswer: 1.132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 + -93. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.6913 minus -1?\nAnswer: 31.6913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4829 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4 and -133\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2948*t - 13566 = 15914 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from {m: 1, o: 1, t: 4, n: 1, s: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -5\/3, -4, -4\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-24))**(3\/13)*(p**(-7))**(-13) assuming p is positive.\nAnswer: p**(1114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 7 + 21. Is (-14)\/(-2)*(-60)\/n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -58. Suppose -n = 3*j - 67. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*t - 4 = 4*t, 0 = 2*c + t + 16. Let u be (8\/c - -1)\/(2\/30). What is the tens digit of (u + 4)*(-2 - 197)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20014 (base 5) to base 14\nAnswer: -65d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -29 - (17 + -15) - -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -249\/14 and -17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 198*l - 1334. Let s be t(7). Let w(b) be the first derivative of 12*b**2 + 4*b**6 + 5 + 3*b + 57\/2*b**4 + 84\/5*b**5 + 25*b**s. Factor w(k).\nAnswer: 3*(k + 1)**2*(2*k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14625 = 15*c + 50*c. What is the smallest common multiple of c and 21?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/8 and -33\/202.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -4, -1\/2, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/12)\/(7\/9))\/((-693)\/294).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106553283?\nAnswer: 3, 101, 351661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1543283.7413 + -752792.727. Let d = i - 790457. Let x = -34 + d. What is x rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.56 * -0.018.\nAnswer: 0.01008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -854*m + 856*m = 3*i - 4361, 2*i = -4*m + 2918. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -13.3 and -23929.92 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13318137397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let z be 17 + -17 + 0 + 21. Let l(w) = -12 + 12 + 24 + w + z. Determine y(l(c)).\nAnswer: 2*c + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/46*2)\/(34710\/17355)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 2.2554?\nAnswer: 1.7554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**4 + 2328*g**3 - 13844*g**2 + 11520*g = 0.\nAnswer: 0, 1, 5, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:35 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 + -23 + (-10829)\/(-17) is divided by 102.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1330030?\nAnswer: 1330034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 4*v - 18. Let b be 1120\/(-18) - v\/9. Let o = b + 73. Solve -3*n - o = 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -5 - (89 - 98)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -2046?\nAnswer: 204.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 26 = -274 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2098.8 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.6. Let u = 88 - 92. Which is the nearest to m? (a) u (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 12 = -4*a. Suppose -7*x - 6 = -11*x + 2*t, 42 = 2*x + 12*t. Solve -5*f + 13 = -a*o, 6*f - x = 2*f - 5*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w**2 + 180 + 4*w**2 - 115)*(-1 + 1 - 2*w**2 + (-3*w**2 + 5*w**2 - w**2)*(-1 + 1 - 1) + 2*w**2 - w**2 - 2*w**2).\nAnswer: -20*w**4 + 4*w**3 - 260*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 12. Let p be j(9). Let k = -1 - p. Suppose -k*u - 6809133 = 790867. Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k**3*u**3 + 8*k**3*u**2 - k**3 + 384189*k**2*u**6 + k**2*u**2 + 2258 wrt u?\nAnswer: 36*k**3 + 46102680*k**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66271*u**3 - 5043*u**2 + 2*u + 6 wrt u?\nAnswer: 397626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 853358635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1710 and 2578300?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10296*g. Let x(q) = 4*q. Calculate x(l(i)).\nAnswer: -41184*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/5)\/m**(-3)*m\/(m*m**(-2\/3)*m)*m*m**(-1) assuming m is positive.\nAnswer: m**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i**2 - 10*i - 26. Let b(m) = -m**2 + 0*m**2 + 1 - 3. Let y be b(0). Let f(x) = 3*x**2 + 2*x + 5. Let z(s) = y*a(s) - 11*f(s). What is z(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.3 and -0.209?\nAnswer: 2.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b - 30*b - 25*b)*(3*b**2 - 2*b**2 - 3*b**2).\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 10*b**3\/13 - 15166*b**2\/13 - 21264*b\/13 + 18216\/13 = 0.\nAnswer: -2, 3\/5, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 700586213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420023324 + -1.5?\nAnswer: 420023322.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 1 - 1)*(19*m + 6 + 13*m - 34*m).\nAnswer: -6*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iil when three letters picked without replacement from liliiiiliiiiiliill.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-2 - -1))\/(-1). Suppose -j = -l*j. Suppose -34 = -3*s - 2*u + 22, 5*s + 2*u - 92 = j. Solve -6 = 3*m - s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 21 + m**2 - 17.\nAnswer: m**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r - 17*r - 71*r)*((-r + 3*r + 0*r)*(-1 + 2 + 0) + 0 + 0 + 2*r).\nAnswer: -296*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 94. Let w be (k\/(-9))\/(2\/3). Calculate the greatest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 108112680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030*x = -13299 + 482 + 62429 + 66778 for x.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*p**2*t**3 - 14*p**2*t*y + 24*p**2*y - 18*p*t**3 - t**3*y wrt y.\nAnswer: -14*p**2*t + 24*p**2 - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.5 (b) -2 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 24.5. Let y = -10 - -8. Let x = w - y. What is the second smallest value in x, -3\/2, 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.028 + -18.972. Which is the closest to -0.1? (a) -5 (b) j (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -22*g**3 + g**2 + g - 1. Let z be k(1). Let o = -3 - z. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s + 5*d + 2169 = 46*s, 5*d = 2*s - 1446. Let c(o) = 723 - s + o. Let b(i) = 208*i. Determine c(b(w)).\nAnswer: 208*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -17*a - 59. Let i be g(-11). Suppose 108 = i*f - 119*f. Solve 16 = 4*l + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.5. Suppose -25*u + 16*u + 27*u + 36 = 0. What is the closest to 0 in u, 0.5, -3\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*x - 2847 = 0, 77*f = 72*f + 2*x + 14252. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*k)*(0*k**2 + k**3 + 0*k**2) + (k**2 - 3*k**2 + 4*k**2)*(k**2 + k**2 - 3*k**2) - 5*k**4 + 6*k**3 - 6*k**3.\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1587 + -1584. Let x(y) be the second derivative of 1\/6*y**z + 0 - 10*y - 3\/2*y**2. What is x(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1335.\nAnswer: -2\/1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 77 + 36)*(z - 2*z + 3*z)*(-4*z**2 + 5*z**2 - 3*z**2).\nAnswer: -404*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 6*r**2 - 2*r - 8. Let o = -1 - 5. Let g be t(o). Suppose 2*c = -0*c + 4. Solve -d = 3*h - 6*h + 5, c*h = g*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -622 - -665. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 5 - 10 - 2*q + (0 - 4 + 5)*(-5 + 4*q + 5).\nAnswer: 2*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/16, 4, 353\/3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 551\/3 - 183. Are -25.7 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.266552ug in milligrams?\nAnswer: 0.000266552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(4\/4)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:36 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265 + -115. Calculate the least common multiple of 16 and h.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76259 bigger than -76260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 2*j - j)*(-2*j - 2*j + j + (-j - j + 0*j)*(5 - 4 + 0) + j + 2*j - 5*j).\nAnswer: 7*j**3 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyytyyyy. Give prob of sequence yyy.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -705960 - -705959.8. Let t = 1.5 - 2. What is the nearest to i in 1\/2, -1, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutu when four letters picked without replacement from {t: 1, o: 3, r: 1, i: 3, u: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, g: 1, f: 2}. What is prob of sequence gefe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 2*j**4 - 4*j**4 + 0*j + (2 - 2*j**2 - 2)*(-j**2 + j**2 - 4*j**2) as n*j + v*j**4 + k*j**3 + s*j**2 + q and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 8*o**2 - 4*o.\nAnswer: -4*o*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {a: 1, t: 9, p: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 5*o - 12, -10 - 8 = -2*w - 4*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = 11*w - 2492. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -291. Let w be (-2 - (-9)\/6)*(5 - 489). Let m = w + q. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p + 0*p)*(3 + 25*p**2 + p + 0*p - 23*p**2).\nAnswer: -2*p**3 - p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.22 + -0.42. Let o = 2.5 + -3. Put o, t, 0.4 in descending order.\nAnswer: 0.4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*t - t + 60, -75 = 5*h + 2*t. Let z be (-4)\/(-6) - 5\/h. Let p(v) = -v. Let x be p(1). Put z, 3, x in ascending order.\nAnswer: x, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4199.0948 to the nearest integer.\nAnswer: -4199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 5*z**2 - 11*z - 5. Let d be a(-9). Let r(c) = -12*c**2 - 1542*c - 730. Let l be r(-128). Calculate the highest common factor of l and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.741171169 rounded to three decimal places?\nAnswer: 0.741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 3. Let s = 4 - 1. Suppose -3 = s*d + 3. What is the units digit of x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 233*l**3 + 20*l**2 + 1908*l - 17. Let n(s) = -78*s**3 - 7*s**2 - 636*s + 6. Let f(d) = -6*a(d) - 17*n(d). Find the second derivative of f(o) wrt o.\nAnswer: -432*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88473 and 329763?\nAnswer: 3627393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191 or 166?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - dc9?\nAnswer: -dcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04945 and -4837.\nAnswer: -4836.95055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 3:30 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8556, -8441, -8258, -8007, -7688, -7301?\nAnswer: -6846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383057 - 48.\nAnswer: 383009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 0, t + 150 = 2*a + 10. Suppose -v + 11 = i, 73 = 5*v - 5*i + i. Suppose 4*q = a - v. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3071?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 27. Let p be (-7)\/m + (-18)\/(-4). Suppose -p*s + 132 = 3*w, -2*s = 2*w - 33 - 33. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, a: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -51. What is the hundreds digit of (-3403)\/82*(c + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 22, -125390 in descending order.\nAnswer: 22, 2, -4, -125390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52 + 5 + -2 + 1. Let y = n - 281\/5. Let u = 313 - 322. Sort u, 0.2, y.\nAnswer: u, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142514?\nAnswer: 2, 71257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120112111221000 - -2?\nAnswer: -120112111220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 9*g**2 - g - 5. Is 3 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + -101. Let s be (-2)\/l - 1128\/(-56). Let c(k) = -5*k + 3*k + 3*k. Let u(x) = 12*x. Calculate s*c(b) - 2*u(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 59*z**2 - 2*z + 72. What is d(-29)?\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, -82?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56448 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8\/(m\/(((((m\/((m\/((m*(m**16*m)\/m)\/m))\/m))\/m)\/m)\/m)\/m)))**(-4\/11))**(-4\/11) assuming m is positive.\nAnswer: m**(320\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17\/1106 + -40016\/4977. Let c(o) = o**2 + 5*o - 3. Let l be c(-6). Calculate the common denominator of -5 + l + (-19)\/6 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = 2*a + 280, 4*r - 2*a - 222 = 0. Let t = 58 - r. Suppose 5*m - 18 - 42 = t. Solve -v - 5*p = m - 2, 5*v = -3*p - 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**3\/3 + 1. Let h(w) = -21*w + 7*w + w**3 - 36 - 2*w**3 - 37 + 37*w**2 - 20*w. Let x be h(36). Calculate u(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 11*o**2 + 70*o + 3*o**2 - 70*o.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109685675303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 5*h**2 + 2*h + 3. Let b be v(-3). Let z be 1*39*(-4)\/(-6). Let u = z - b. Calculate the remainder when 20 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 63*k - 8 = 59*k, -m - 8*k = -34. Factor -6\/5*y**m - 12*y - 54\/5.\nAnswer: -6*(y + 1)*(y + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6 = -5*o + 9, -4*z = -4*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-15))\/((-1)\/(-2)))\/((-16)\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/10 - 17\/30. Let f = -4 - -1. Let n = f - -2. Sort k, -5, n in descending order.\nAnswer: k, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6578 and 9152.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) -97 (c) -189 (d) 233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 2)*(41 + 7824*m + 7816*m - 15652*m).\nAnswer: 72*m - 246","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j - 17. Let p(s) = 6*s + 2. Determine 3*p(u) + q(u).\nAnswer: 5*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253718\/3 + -84572. Factor 4*f**2 + 0 + y*f**3 - 14\/3*f.\nAnswer: 2*f*(f - 1)*(f + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 7. Let x = 22 - k. What is the least common multiple of 20 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2328, 4650, 6976, 9312, 11664, 14038, 16440?\n\"Answer: v**3 - 4*v**2 + 2327*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 690\/(-184)*308\/210.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + sqrt(96)\/sqrt(4))*5)\/(((sqrt(72) + sqrt(72)*-2 - sqrt(72)) + sqrt(72))\/sqrt(6)) - (sqrt(162) - (sqrt(162) + sqrt(162)*-2*-6))**2*-1.\nAnswer: -10*sqrt(2) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2173123, -4346318, -6519513, -8692708, -10865903, -13039098?\nAnswer: -15212293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 3*l. Let s(o) be the first derivative of -o**3\/3 + o**2\/2 + o - 2. Calculate 3*s(f) + x(f).\nAnswer: -2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 238464.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 6:32 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose -5*a + 2*a - 342 = c. Calculate the least common multiple of 6 and a\/(-10) + (-2)\/5.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*w - 82, -17 = -3*f + 2*w - 75. Let j(y) = 6 - 7*y + 2*y + 4*y. List the prime factors of j(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 15*r - 1360. Let i be v(91). Let z(g) = 7*g**2 - 7*g - 5. Let s(o) be the first derivative of -o**3 + 3*o**2\/2 + 2*o - 1. Determine i*s(l) + 2*z(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2. Suppose -2*h + 6 = h. Suppose d - 4 + 2 = 0. Let l(w) = -w**2 + 2*w**2 - d*w**h. Determine l(c(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0*d - 1\/8*d**4 + 0 + 34*d**2 - d**3. Determine j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 - 81*f**3 - 558*f**2 - 1356*f - 1080.\nAnswer: -3*(f + 2)**2*(f + 5)*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.35 - -0.17. Let d = q + 0.28. Put 1, d, 2\/5 in descending order.\nAnswer: 1, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*a + 7 + 2, 0 = -5*z - 4*a - 7. Let v = 3 - 3. Put z, v, -4 in decreasing order.\nAnswer: v, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2136140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106 = -691*l - 3731 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*o + 9240, 15*o - 20790 = 6*o - 4*t. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1 + (1 - 0). Let f(n) = -2 + 2 + w*n**2. Let b(s) = -18*s + 3*s + 13*s. Determine f(b(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from htppphhphhhthj?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 127 + 47*f**2.\nAnswer: 47*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*-1*(-24)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j*j\/j**(-7\/2))\/j)\/(j\/(j\/(j*j**(-6)))))**(5\/6))**(1\/10))**(-50) assuming j is positive.\nAnswer: j**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40677*d*f - 98518*f wrt d.\nAnswer: 40677*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55\/35 + 4\/42*-6. Let v(a) = a**2 + 3*a - 4. Let y be v(-4). Put y, -3, b in ascending order.\nAnswer: -3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 8 (c) -29 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 4*c - 2. Suppose 13 = 12*g - 191. Let l(v) = v**3 + 5*v**2 + 3*v - 1. Let z be l(-2). Suppose -z*j = 2*s - g, -3*j = 2*j - 25. Determine a(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -15. Solve 7 = m - t, 0 = t + 3*t + o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10985852 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/17))\/(((u**(1\/4)*u)\/u*u)\/u))\/((u*(u\/u**0)\/u)\/(u\/(u*u*u**5)*u)) assuming u is positive.\nAnswer: u**(-353\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2903 divided by 1.\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165055\/440 + (-2)\/16 is divided by 97.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 146.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 4 (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95143 by -6.\nAnswer: -95143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 18. Suppose -g*y + 39 + 75 = 0. Calculate the remainder when (-3 + -6)\/((-4)\/12 + 0) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4)\/8)*0 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 19 = x, -4*y - 2 - 2 = 4*x. Let u(t) = -2*t**2 + 4*t + 3. Let w(r) = -2*r**2 + 3*r + 2. Determine y*w(p) + 4*u(p).\nAnswer: 2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8966213ml to litres.\nAnswer: 0.0008966213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -162 + 160. Sort j, 3, 2.\nAnswer: j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**3 - 4*r**3 + 2*r**3)*(6 - 286*r - 7 + 1) to g*r**4 + p*r**3 + n + x*r**2 + m*r and give g.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, r: 9}. What is prob of sequence rrmr?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 100. What is the remainder when v(0) is divided by ((-312)\/(-84))\/(2\/14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3175.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 6. Let b(w) be the third derivative of 7*w**6\/60 + 11*w**4\/24 + 2*w**2 + 38. Let z(s) = 5*s**3 + 4*s. What is j*b(r) - 8*z(r)?\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-310)\/(-240)*(-50)\/15*16\/120*-18.\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 + 3*w**2 + w - 2. Suppose -35 = -6*b + b. Let n be (-10)\/(-7) - (-4)\/b. Determine c(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 5\/3*r**3 + 0*r - 7 + 0*r**2. Let d(f) = f. What is b(d(h))?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35416628443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, 3, -3, 0 in decreasing order.\nAnswer: 16, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (42 + -9 + 0 - 21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w + 4. Let r be y(-2). Let g(o) = -2*o**2 - 5*o + 8*o - 2 - 1. Let n(j) = 11*j**2 - 17*j + 17. Calculate r*n(a) - 34*g(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.007, -3\/2, -80, -3 in ascending order.\nAnswer: -80, -3, -3\/2, 0.007, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -68*c**2 + 5*c + 2. Let f(x) be the second derivative of x**4\/12 + 1937*x - 2. What is g(f(i))?\nAnswer: -68*i**4 + 5*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16254434?\nAnswer: 2, 7, 1161031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3*z + 10 - 17 + 3.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-56)*32 - (-74)\/(-16). Sort u, 6\/11, 1 in descending order.\nAnswer: 1, 6\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327215643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 96643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(170))\/sqrt(10) - (0 + sqrt(425) + sqrt(425)))*4 + (sqrt(153)*-1*-6)\/sqrt(9) + 0.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -7*m + 35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s - 9. Let l(d) = -6*d + 8. Let w(j) = 2*l(j) + 3*m(j). Let z be w(9). Calculate the greatest common factor of z and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14593 divided by 3.\nAnswer: -14593\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50591767819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1752 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.6272 + 15.6272. Let i = 1.1 - 0.1. Which is the biggest value? (a) i (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/85 and (4\/8)\/((-168)\/4074)?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 764 = -814. Solve -2*t = 5*c - 0*t + 12, -4*c - 36 = -j*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 98, 191, 278, 359?\n\"Answer: -3*q**2 + 102*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -16, -3*o = 3*g - 2*g - 80. Suppose 2*m - 258 = c, 4*m - m - 518 = 2*c. Let f = c + g. Round f to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 153\/34*(2 + (-2)\/3). Calculate the greatest common factor of u and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 3*a - 55, -4*d + 422147*a - 422137*a - 146 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-1)\/10) + -4 + 11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 511*n**6\/40 + 1148*n**3\/3 + 1907*n**2. Differentiate u(m) with respect to m.\nAnswer: 4599*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 - 3*f**2 + 2*f - 1. Calculate the remainder when g(2) is divided by (-20)\/(-70) - (-54)\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 5*b**2 + 8*b + 15. Let q be g(-6). Put -2, 7, q, 1 in decreasing order.\nAnswer: 7, q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 17*d**3\/3 - d**2\/2 + 5*d - 21. Is 24 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4 + 208*k**3 + 2540*k**2 - 3184*k - 5520 = 0.\nAnswer: -30, -23, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/125059 and -46\/55?\nAnswer: 625295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.78809 centuries?\nAnswer: 57.8809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*n + 6*n - 6, a - 2 = 3*n. Let d be 90\/(-60)*8\/6 - -6. Solve -5*i = d*u - u - 24, 2*u = a*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (36 - 52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y + 12. What is z(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**3*m**3 + 17*g**3*m**2 - 2*g**2*m**2 - g**2 - 13*m**4 wrt m?\nAnswer: 30*g**3 - 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v - 31 = -5*b, -10 = -5*v + b. Suppose c - 15 = -v*l - 2*c, 4*c = 16. Suppose 13*h = 12*h + l. Solve 2*n - h = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-14) + 12\/(-42))*-12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (529 - 475 + 405)*(-3 + 3 - 1 + 2*p).\nAnswer: 918*p - 459","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -6*j**3\/5 - 139*j**2\/5 + 277*j\/5 + 10 = 0.\nAnswer: -25, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42b69 (base 14) to base 3\nAnswer: 22012101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (816\/476)\/(8\/42) - -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1929218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/11 + 302*i\/11 - 3588\/11 = 0. Calculate i.\nAnswer: 13, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-756)\/(-80))\/21*(-29 - -5)\/6.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25 - (-1 + (-1 - -4)). Suppose -w + 18 = -z, -b = -3*w - 2*z + 11. What is the greatest common factor of w and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.715364 and -33.187?\nAnswer: 41.902364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(245) + 1) + (6*sqrt(5)*-1*-3)**2.\nAnswer: 14*sqrt(5) + 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22865 + 15051. List the prime factors of y\/(-10) + (-6)\/(-10).\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -1083017997?\nAnswer: -1083017997.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/8 - -1. Suppose 6*h = -285 - 33. Let k = h - -49. Sort k, -1, g.\nAnswer: k, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -247? (a) -1\/5 (b) 5 (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-17 - (-33 + 31 - -50))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 88*t - 1694. Solve 0 = -t*o - 26 - 62 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -413 in 0.5, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 10 + (-1 - -1) + -15 + (-3 - 16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2\/2 + 294933*z\/2 + 1327320 = 0. Calculate z.\nAnswer: -9, 98320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 564665 divided by -4?\nAnswer: -564665\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73075 or -73073?\nAnswer: -73075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 1. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*a = 23, 0*n = 4*n - 3*a + 3. Suppose d - n*d = -6, 2*p = 3*d + 9. What is the remainder when 11 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 7 + 1. Suppose -u - 144 = -8*b, -5*b - 3*u + 92 - 2 = 0. Sort -5, o, b in decreasing order.\nAnswer: b, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 763 - 761. Solve -3*v - 7 + 13 = 0, -m = -k*v + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1016?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -30. Solve -2*q = q + s + m, -25 = 5*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*(-660)\/88.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18*10\/(-20)*-1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2337 divided by -1095\nAnswer: -779\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -172.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3438*z**2 + 1334*z - 3443*z**2 - 666*z - 668*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -3*s**2\/2 - 44*s - 159. Let k be y(-16). Let p be (1\/(-2))\/(2\/(-12)). Sort p, k, -5, -4.\nAnswer: -5, -4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 + 199*a - 142. What is g(-56)?\nAnswer: 1258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 5 - 1 - 4.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 521bac1 + -11?\nAnswer: 521bab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -60, -137, -244, -381, -548?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 2*j**2 + 4*j - 1. Let q be i(3). Suppose q = 3*l - 10. What is the second biggest value in -3, 7\/4, l?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04214732 and 2.\nAnswer: 0.08429464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2324*n**2 - 2302*n**2 - 4 + 4. Let k(u) = 51*u. What is k(v(t))?\nAnswer: 1122*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 9*u**2 - 2*u)*(1 + 4*u - 1).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -14*p**2 + 17*p + 17. Let s(x) = 5*x**2 - 6*x - 6. Suppose g + 18 = 4*d + 4*g, 0 = 4*d - 3*g - 30. Calculate d*q(w) + 17*s(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**17*n*n)\/n*n)\/n)**(-5))**(-14) assuming n is positive.\nAnswer: n**1330","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3104.898086 to one decimal place.\nAnswer: -3104.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and -0.7.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430688 and 123322?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.45386 to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 165148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21114 - -21112. What is the biggest value in 1, -1814, -0.2, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10117545.37 times 0.4\nAnswer: -4047018.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53\/5 - -4177\/395. Sort p, 2, 3\/4 in descending order.\nAnswer: 2, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 300355639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 6*i + 4. Suppose -7*b + 28 = 70. Let q(g) = -3*g**2 + 10*g - 8. Let h(y) = b*q(y) - 14*a(y). Factor h(l).\nAnswer: -2*(l - 2)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let i(h) = 14*h**3 - h**2. Let a be i(-1). Let g = -10 - a. Let j(f) = -5*f**2 - f**2 + g*f**2. What is u(j(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -33.94. Let i = -0.95 + z. Which is the second smallest value? (a) i (b) 1 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + 4*u - 5*u + (-2*u + 0*u + 3*u)*(-2 - 3 + 4) + (-u - 2*u - 9*u)*(0 - 4 - 16) as v*u + n and give v.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:12 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:37 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -106*o - 4814 + 656 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33498 + -33474. Let z = 6.7 - 7. Which is the second smallest value? (a) 2\/9 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2022 and 124291666.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z*z**(4\/7)\/z*z)\/z*z**(-5) assuming z is positive.\nAnswer: z**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 175. Let w be d(0). What are the prime factors of ((-2)\/2)\/((-5)\/w)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 41*x + 935 = -7*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times -684784?\nAnswer: 2259787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -12*q - r + 15385, -3*r + 12319 = 4*q. Suppose 11*m - 3051 = q. What are the prime factors of m?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 84 = 9*x. Let u = -36 - x. Let l be u\/(-28) + (-52)\/(-14). Solve -l*q - 7 = -a + 1, 0 = 3*q + 4*a + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 + 156 - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 10*n - 4. Suppose -18 + 48 = -3*t. Let q be r(t). Let p be 7\/q + (-6)\/(-8). What is the nearest to 0.2 in p, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 50085 and 3679564.\nAnswer: 3729649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-30)*55\/242.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 14*d + 5*y = -12, 0 = d - y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8243*a - 116771 - 111404 = -884*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*s + 9. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/3 + 19*r**4\/4 - r**3\/6 + 3*r**2 + 4*r. What is the remainder when v(-8) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62660 - 486?\nAnswer: -63256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104))\/(-1*sqrt(98) - sqrt(2)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6055 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 - 52721268.\nAnswer: -52721154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252359 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 7:08 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5698.\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 819 = 7*t. Let a be (-1)\/(3\/24)*23\/4. Let v = a - t. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.282 * 0.4\nAnswer: -0.1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 509165855 and 3410?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 1896\/84 - 13. Sort q, -3\/8, -17.\nAnswer: -17, -3\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4988 (base 15) in base 9?\nAnswer: 23422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 38*x**2 + 119*x - 144. Give s(35).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5 + sqrt(1088) + 1)**2 - sqrt(1088)) + -2 + -4.\nAnswer: -72*sqrt(17) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 8. Suppose 3*m - 68 = o. Suppose -2*a - 2*c = -16, -3*a + 7*c - 2*c = 8. Solve -8 + m = a*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20*t**3 + 25*t**2 + 38*t + 7. Let y(p) = 11*p**3 - 13*p**2 - 20*p - 3. Let r(x) = -6*i(x) - 11*y(x). Give r(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1\/8 (c) 489 (d) 0 (e) -275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*s + 87*s + 92*s + 76*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/156 and -87\/256.\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-15)\/10)*(-63)\/(-28)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8785783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152038733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -2, 0, 5, -39, -2163 in increasing order.\nAnswer: -2163, -39, -2, 0, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) 5 (c) 25 (d) -1 (e) -295.3 (f) -1\/2 (g) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = 4*j. Suppose -9 = -j*r - d + 11, 3*r = -4*d + 12. Calculate the least common multiple of r and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 5*v**2 + 5*v + 5. Let z be k(-4). Let b be ((6\/1)\/3)\/z. Let u be (-35)\/(-7)*b\/15. Put 2\/9, u, 5 in decreasing order.\nAnswer: 5, u, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 30 = 2*q, 2*p = -p. Let i = q + -11. Solve -1 = -s - i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 5*v + 3. Let c be q(5). Suppose 5*l + 20 = -t, -l - c*t = -5*t - 7. Let f(y) = y**2 + y - 2. What is f(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*o = -52, -2 = -a + o + 3. Suppose 2*j - a = 152. Calculate the remainder when j is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 divided by -3?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3118, -6454, -10350, -14806, -19822, -25398, -31534?\nAnswer: -38230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + d - 5. Let x be z(0). Let j be (8\/x)\/(4\/(-10)). Suppose 9 = j*s - 35. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4020174 and 1038?\nAnswer: 4020174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 606*t - 56*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 - 19*q + 19*q. Let m(y) = -2*y**2. Determine h(m(l)).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5390 and 31.52?\nAnswer: 5421.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9848 is divided by 239.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33124 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -44021 and 0.1.\nAnswer: -44020.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.081, -3, -0.11 in decreasing order.\nAnswer: -0.11, -1.081, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8772492 divided by -2?\nAnswer: 4386246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21031030 - 20?\nAnswer: 21031010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 415 to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3674.967 seconds?\nAnswer: 61.24945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 23*j - 8. Calculate the highest common factor of j and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/432 and -139\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 2 a when four letters picked without replacement from {l: 1, u: 1, a: 1, q: 3, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l**2 - 3*l + 3*l)*(0*l**2 - l**2 + 3*l**2) - 2*l**2 + 2*l**2 - l**4 + 3*l**4 + 2*l**4 - 7*l**4)*(-4*l + 1 + 11*l + 0*l).\nAnswer: -35*l**5 - 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8626.8 - 8627. What is the fifth smallest value in -38, 0.3, -0.1, -0.5, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87479.8 litres?\nAnswer: 87479800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*h + 168 - 168 - 2*h + 0*h + 3*h + (1 - 1 + h)*(-1 + 1 + 2) + 0*h + h + 0*h + (-3*h + h + 3*h)*(0 + 5 - 2) in the form j*h + v and give j.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30812*g**2 + 6628*g**2 - 7873*g**2 + 30861*g**2.\nAnswer: 60428*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 59, 102, 165, 254?\n\"Answer: o**3 + o**2 + 19*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/(-108)*(-11052)\/(-1535)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -66. Let z = -20 + h. Let x be 43\/(-5) + z + 3. Are -4 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632703*z - 632668*z = 1925 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d)*(-2 + 3 + 1) - 8*d - 9*d + 2*d.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 322 + 0?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*l*m*n**2*u**2 + 2*l*m*n**2 + 9*l*m*u - 6*l*u**2 - 3*m*n**2*u - 9*m*n*u**2 + m - 40*u wrt u?\nAnswer: 46*l*m*n**2 - 12*l - 18*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3514*l + 3310*l + 7344 = 0 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80) + sqrt(80))**2 + (sqrt(5) - (2 + sqrt(5)))*2.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -8 + 7\/3*o**3 + 0*o - 7\/2*o**2. Find the second derivative of d(f) wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(21) + -1*sqrt(21))\/sqrt(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 75 = 2*d. Let l = -12 - d. Suppose -41 = -3*v - 2*h, l*h + 12 = -3. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 1, i: 3, q: 1, c: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -108900?\nAnswer: -108908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0 + 0*t**5 + 0*t**4 - 29*t - 1\/3*t**7 + 0*t**2 - 7\/6*t**3 + 0*t**6. Find the second derivative of n(w) wrt w.\nAnswer: -280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + u - 4*u)*(-5 + 3 + 4) + 0*u - u - u + 5*u + 0*u - 3*u)*(-1 + 2 + 1)*(-2 + 3 - 3).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -10180 and 2852577.\nAnswer: 2842397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2 = 7*j - 2*l, -j = l + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 27*c + 53. Let p be r(23). Let h be p\/3*(-10)\/65. Solve 0 = j - h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(4\/72). Let h = 16 - i. What is the second derivative of 11 + 4*s + 3*s**h - 11 wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 - (-161 + 144 + 3)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9504907159.\nAnswer: 11, 23, 349, 107647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*g - 62*g - 45*g - 86*g.\nAnswer: -140*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 384751011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1120056)\/25312*(2 + (-20)\/6).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 69. Suppose -4*h + 0*m + m = -k, -3 = -h + 4*m. What is the remainder when (-28)\/7*(-1425)\/100 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:59 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*98.701.\nAnswer: 296.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92781384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73\/414 - 3\/46. Which is the third biggest value? (a) 0 (b) y (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792976 is divided by 1078?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*11\/3*(-18)\/(-198)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4245120*j + 12735369. Give l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 160, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)\/(sqrt(36)\/sqrt(3)) + -5*(sqrt(51) - sqrt(51)*1))\/(sqrt(3) + 6*(sqrt(27)\/sqrt(9) + sqrt(3)) + sqrt(6)\/(2*sqrt(2))).\nAnswer: 2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*u - 29*u = -544*u - 313*u + 9549 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 804 and 721724.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 + 222*i**3 - 2955*i**2 + 2736*i = 0.\nAnswer: 0, 1, 16, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2 + 407*x + 2898 = 0.\nAnswer: -7, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a660 + -68?\nAnswer: -1a718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83070 and 3646773?\nAnswer: 36467730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0220765 to five decimal places.\nAnswer: -0.02208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/4 - 33*h**4\/4 + 7*h**3 + 33*h**2 - 32*h = 0.\nAnswer: -2, 0, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297 and 942?\nAnswer: 93258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -21*d**2 - 7*d + 8. Let t(p) = 21*p**2 + 7*p - 7. Let g(l) = 3*t(l) + 2*w(l). Let s be 22\/6 - -2 - 1\/(-3). Is g(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-4)\/8)*-4. Solve -4*p + 4*r + 4 = 0, -t*p + r = 2*p - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 * 0.2\nAnswer: 60.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114303230 a multiple of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -467, -545, -633, -725, -815, -897?\n\"Answer: k**3 - 11*k**2 - 52*k - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -34*z. Let l(q) = 4*q - 21. Let s(y) = -3*y + 21. Let m(b) = -4*l(b) - 5*s(b). Let v be m(-23). Let i(g) = -2*g + v + 3 - 5. Give i(w(h)).\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -497\/13, 0.4?\nAnswer: -497\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54326\/9 greater than or equal to 6037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Let r = 9.41218 - 9.01218. Let y = 0 - 0.1. What is the closest to i in r, y, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/5 + w**4 - 2*w**3 + 2*w**2 + 6*w. Solve x(g) = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (-5 + (-12 - 0) + 62 + -46).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (546\/18)\/((-7)\/(-546)) + 2. Is l greater than 2368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpjb when four letters picked without replacement from bpjjgvb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 9.\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -1. Let c = -11 + m. What is the nearest to -1 in -2\/9, 4\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n + 652. Calculate g(5).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8423708*q*x - 17031597*x with respect to q.\nAnswer: -8423708*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20\/9 - -169\/72. Which is the third smallest value? (a) j (b) 3 (c) 0.6 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 420\/72 + (-3)\/(-18). Suppose -2*j - 10*z = -l*z - 50, -120 = -4*j + 2*z. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36440 - 12591. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 193*g**2 + 5*g - 65. Let n(d) = 97*d**2 + 3*d - 37. What is 7*n(l) - 4*v(l)?\nAnswer: -93*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + 5 - 0) - (70 - 65).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z + 55*z = 4*k - 13, z - 5*k = -11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/6 - 29*m\/6 + 9 = 0.\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 8*f**2 + 63*f - 30. Let h be y(-13). Which is the closest to -37? (a) -1.4 (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2434.70637 nanoseconds to days.\nAnswer: 0.000000000028179471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-2*4\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 10, x: 2, t: 1, h: 5}. Give prob of picking 2 w and 1 t.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-7)\/v)*v**(-3)*v)\/(v**2)**(-2\/3) assuming v is positive.\nAnswer: v**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v + v = 0. Suppose v = 4*i + 6*i - 4340. Suppose -i - 7 = -7*s. What is the highest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60905 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -163, -256, -357?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 5*r**5 - 4*r**5 + (r**3 + 0*r**3 - 3*r**3)*(-2*r**2 + 14 - 14).\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 - 2 = 0. What is the third derivative of 7*f**2 + 0*f**l - 5*f**5 + 0*f**5 + 0*f**5 wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 8, -2\/21, -77, 1\/3.\nAnswer: -77, -0.2, -2\/21, 1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 3*o**2\/2 - 9*o + 3. List the prime factors of u(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.01, -4, 56\/97 in increasing order.\nAnswer: -4, -0.01, 0.2, 56\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-50)\/8)\/((-8)\/(-64)). Let f = -48 - q. Suppose -2*u + 17 = -9*p + 4*p, 2*u + p + 1 = 0. Solve -3*c + f*c = -u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 9:53 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpwiwppwi. Give prob of sequence pp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659178917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 - (8 + -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-14))\/(-2)*(-7224)\/(-258)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-14) - (-8151)\/231) + -1. Let y(g) = g**3 + g**2 + 238. Let f be y(0). What is the greatest common divisor of t and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -141*m**7\/70 + 40*m**4\/3 + 90*m**2 - 2*m. What is the second derivative of j(d) wrt d?\nAnswer: -5076*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {d: 1, i: 8, j: 6}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 32 + -19 - 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-16) - 714\/408)\/((-7)\/(-60))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1180 - -574. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 6 - 5)*(0 - 3 + 1) - 1 + 0 + 0)*(7895 - 7895 - 24*q**2).\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*y + 4*d - d, 0 = -4*d - 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/((sqrt(24)*-1)\/sqrt(3)) + 4)**2 + sqrt(192) + sqrt(192)*1 + sqrt(30)\/sqrt(40).\nAnswer: 17*sqrt(3)\/2 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -562.5, -16?\nAnswer: -562.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25092 - 174168 = -41*q. Let k = -2010 + q. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.4. Let b = -916 - -958.7. Let p = b - 10.7. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4307\/40 or 109?\nAnswer: 4307\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4900, -3 in ascending order.\nAnswer: -4900, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122.5 + -123. Which is the fourth biggest value? (a) -3 (b) 2\/25 (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 100 = 0. Suppose 3*y - h = 32. Find the third derivative of 11*g**5 + y*g**2 + 2*g**3 - 55*g**2 - 2*g**3 wrt g.\nAnswer: 660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2893\/495 + (-3267)\/605\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0.2, 2, 5534\/3, -0.3 in ascending order.\nAnswer: -3\/8, -0.3, 0.2, 2, 5534\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105295 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 476, 1205, 1876, 2495, 3068, 3601, 4100, 4571?\n\"Answer: c**3 - 35*c**2 + 827*c - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 - 0.07. Let b = -0.1 - t. Is b > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.19 - -2.19. Let z be ((-8)\/(-90))\/((-2)\/(-5)). Which is the nearest to g? (a) -1\/2 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17855949*h**3*r + 2*h**2*r + 2*h**2 - 24*h*r - 3*h - 2314*r wrt h?\nAnswer: -107135694*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 103. Let h = -17520.945 - -17474. Let d = w - h. What is d rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -114.4. Let r = 12.6 + c. Are -1\/3 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117) + (sqrt(117) - ((sqrt(117) - 1*sqrt(117)) + sqrt(117))*-4)))\/(sqrt(9) + sqrt(63)\/(sqrt(7)*2) - (sqrt(441)*1 + sqrt(9))).\nAnswer: 48*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 15, 31, 51, 75, 103?\n\"Answer: 2*w**2 + 6*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382 is divided by (-70)\/(-15)*-20*12\/(-8)?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 + 126*g**4 - 1692*g**3 + 7884*g**2 - 16038*g + 12150.\nAnswer: 2*(g - 3)**4*(g + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2295\/(-34))\/45)\/(1\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*w + 0*w + 14 = 0, -4*w = l + 10. Solve 0 = 2*p + l*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/26 + 212\/26. Let s be (0 + 3)*v\/6. Solve -s*z - 3*q - 8 = 0, -3*q - 1 + 7 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65*4*(-2)\/(-16)*3*(-1010)\/1515?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -38. Let w(u) = -4*u**3 + 5*u**2 - 7*u + 3. Let r(x) = -5*x**3 + 5*x**2 - 8*x + 4. Let v(k) = b*r(k) - 4*w(k). Give v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53229871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w**2 + 341*w + 3805. Give k(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 9*u + 14. What is the remainder when 110 is divided by a(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 535.8.\nAnswer: 2143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*z - 61, -5*l + z - 100 + 7 = 0. Suppose 72 = 3*m + u, 6*m - 3*u - 106 = m. Let n = m + l. Solve -4*o + 2*f = -4, 2*f + n = -2*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b + 5. Let n be o(11). Suppose 3*r = -5*t - 1 + n, -5*t + 124 = -2*r. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-4)\/(-30))\/(-6*(-11)\/(-660))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20) - (-144)\/(-240)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 1, c: 2, o: 1}. Give prob of sequence rroc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 11)\/(-31 - (35 + -62)). Factor -q*j**3 + 0 + 5\/2*j + 5\/2*j**4 - 5\/2*j**2.\nAnswer: 5*j*(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - -1) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83.8 - 52.6. Let m = 30.8 - x. Let t = 3 - 2.6. Sort m, 2\/7, t, -2\/9 in decreasing order.\nAnswer: t, 2\/7, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*a - 562 + 4437 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -0.10589821?\nAnswer: -1.0589821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 5*j - 3*h + 2*h, h = -2*h. Calculate the highest common divisor of j and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/(-105) - 4\/(-14). Let t = -12 + 7. Let m be (-30)\/36*8\/(-10). Which is the closest to p? (a) t (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -90*t. Let o(x) = -5*x - 28. Let i(n) = 7*n + 42. Let v(k) = -4*i(k) - 6*o(k). What is w(v(r))?\nAnswer: -180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 11.21. Let j = -8067564.2100074 + 8067565. Let g = q + j. What is g rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -10. Let q be ((-9)\/z + -1)*1. Let t = -6 + 7. Sort t, q, -4 in descending order.\nAnswer: q, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-3))\/(28\/(-63)). Suppose -14*i = w*i - 18105. What are the prime factors of i?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62575787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = -6*v + 7*v, -2*n + 2*v = -4. Suppose -2*d = -5*k - 24, -2*k + n - 17 = -d. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -241250 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/12040 and 113\/7520.\nAnswer: 2263520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 1. Let l(o) = -7*o - 6. Let x(n) = 13*n + 11. Let j(y) = -11*l(y) - 6*x(y). Let c(m) = -5*j(m) + 3*k(m). What is c(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x. Let b(p) = -12*p - 1. Give 2*b(s) + 9*u(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101244 (base 5) to base 10.\nAnswer: -18949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 3. Suppose f - 2 = 5*u - 9, -g*u = -5*f + 9. Suppose 0 = 4*h, -2*h = -3*b + f*h - 414. What is b rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 25 = 5*x, -54 + 23 = -3*s + x. Suppose -s*m + 26 = -37. Suppose 2*j + 1 = -m. Which is the closest to j? (a) 1\/4 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 10) to base 8\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40002.5l in millilitres?\nAnswer: 40002500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188732 divided by 2714.\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (1 + -2)) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and -39\/4566124?\nAnswer: 4566124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 71) + -33 + 24 + -13 + 5?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -8.\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 44*u + 106. What is o(20)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261639056 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -w - 4*o, 0 = -7*w + 2*w + o - 2. What is the third smallest value in 4, w, -3, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51 and 398012.\nAnswer: 398063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -32114?\nAnswer: 32115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.4139621 to three dps.\nAnswer: 43.414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228 by -3.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 3*j + 6. Let r be z(-5). Let b = r + 7. Solve -3*k + b = 5*a - 5, 4*a + k - 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1590?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let a(m) = -m**3 - 7*m**2 - m - 5. Let s be a(-7). Let o(w) = 1. Suppose 4*c - 14 = -18. Calculate c*l(x) + s*o(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/(-238) + 2\/((-28)\/(-74)). Solve -2*z + 8 = q - 1, -o*z + 27 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let j be o - 0 - 7\/1. Let n = 15 + j. What is the highest common divisor of 64 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 3. Let f(d) = -4*d - 14. Let o be f(-3). Let w(i) = -5*i - 3. Give o*w(k) + 3*z(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m = -5*f + 11, 2*m = -3*f + 15. Let z be (((-45)\/m)\/(-5))\/((-18)\/(-36)). Solve 3*y = z*j - 27, 2*y + y - 5*j = -35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 94*a + 134. Let t be m(17). Suppose t = 28*h - 116. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478396 - -479441.924. Let h = -1033 + n. Let o = h + -13. Round o to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005114 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/10 and 34\/1995?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -762\/548395 or 0?\nAnswer: -762\/548395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1400 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2 + 6)*(22320 - 22320 + 519*n).\nAnswer: 2595*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 (base 16) in base 6?\nAnswer: -2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, c: 6, y: 3}. What is prob of sequence jyc?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.2 (c) -1 (d) 0 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1)**9\/(r**(-2\/7))**7*r*r**(-1\/4)\/r*r**(-5)*r*(r**(3\/2)*r*r)\/(r\/(r\/(r*r**(-1\/7)))) assuming r is positive.\nAnswer: r**(11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.004 (c) 3\/254 (d) 4 (e) 4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87395153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24324, 48693, 73024, 97299, 121500, 145609, 169608, 193479?\nAnswer: 217204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/((6\/(-9))\/2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289598219?\nAnswer: 151, 347, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*r**4 - 149*l**2*r**2 + 7*l**2*r + l**2 - 16*r wrt r.\nAnswer: 24*l**2*r**2 - 298*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 35. Let g be 6\/m - 5864\/(-5). Suppose -2*p + p = -3*c - 1177, -p + c = -g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, -4, 70603?\nAnswer: 70603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 46354*v. Let p(f) = 2*f - 6. Give p(n(k)).\nAnswer: 92708*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + 0*g**2 + g**2)*(0*g + 0*g - 2*g) + 41 - 41 - g**2 - g**3 in the form z*g + y*g**2 + o + i*g**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let p be 101\/(-202) - (-9)\/2. Suppose p*i = q*l + 2*l - 40, -4*i = 5*l - 95. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 170 + 6*l**4 + 40*l**2 + 43 - 214 in the form z + j*l + n*l**4 + d*l**2 + f*l**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567.6024 litres to millilitres.\nAnswer: 567602.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989845147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*i = 64, -2*i + 18 = 4*z - 68. Let k be (4 + -1)\/(5\/25). Let r = z - k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/(-2) - 9360030\/(-90). What is k rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3\/5, 5528.\nAnswer: -3\/5, 1\/6, 5528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/1240 and 109\/2852.\nAnswer: 28520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*o - 43. Calculate the lowest common multiple of o and 149.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 6*m - 14 = 0, -227*u + 5*m + 9 = -228*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 32 = -4*g, 3*g = -2*q + 50 - 12. What is the highest common factor of 25 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3850 is divided by 133.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-63)\/(-18) + -3 - 18\/(-4). Suppose -13*t + 4*p = -18*t + 4568, -c*t + 2*p = -4556. List the prime factors of t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/30)\/(1\/10). Solve -i = b - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 12. Let y be d(6). Let j be y\/(-15)*-1*(0 + 10). Let r be j*1 + -749993 + -11. Round r to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34c5 + -9?\nAnswer: 34b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0 = 5. Let p(u) = -18*u. Let o(z) = z. Let b(m) = i*p(m) + 15*o(m). Let r(n) = 2 + n**2 - 7 + 5. Determine r(b(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 0.04, 2, 38, 139, -7\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-14))\/o**24 assuming o is positive.\nAnswer: o**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 4. Let x = -2 + 0. Let p be -4 - (1 + -2 - x). Let i be t(p). Calculate the greatest common divisor of i and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2471*r**3 + 63*r**2 + 847. Let l(p) = -155*p**3 - 4*p**2 - 53. Let g(s) = -63*l(s) - 4*q(s). Let w(o) = -5*o**3 - 2. Determine -6*g(t) + 147*w(t).\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1474, -4, -3, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*f - 24. Which is the closest to 2? (a) f (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 552 and 0.53074.\nAnswer: 292.96848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.4 + -16. Let i = -1.8 + z. Round i to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(0 + 0 + 8*k) - 73*k - 279 + 279 + 2*k - 2*k - k)*(4 - 2 - 4).\nAnswer: 180*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 24*j**2 - 876*j + 2646. Give z(3).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 76) + 17 + (9 - (5 - (10 - 24)))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**29))**29 assuming p is positive.\nAnswer: p**841","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 122*u\/9 - 104.\nAnswer: -2*(u - 52)*(u - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1185172, -2370349, -3555532, -4740721, -5925916, -7111117?\nAnswer: -8296324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-5 + 5 - 3*j) - 6*j + 10*j - 11*j + (2 - 4 - 5)*(-2 - j + 2).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69661844?\nAnswer: 2, 7, 2487923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*j**2 + 15*c*j - 2*c - 5*j**3 + 13192 with respect to j.\nAnswer: 2*c*j + 15*c - 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1875957, 3 in descending order.\nAnswer: 3, -13, -1875957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5 + 3*i + 6 - 1. Let b be l(-8). Let z = 26 + b. What is the remainder when 22 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502030 is divided by 1800.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -9*a + 213 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -251b181?\nAnswer: -251b179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2\/(-108)) - 2. Suppose -4*f = -x + 8. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c*p**3 - c*p**2 - c - 4*p**2 + p + 7876 wrt p.\nAnswer: -12*c*p**2 - 2*c*p - 8*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 + 3*f**2 - 6*f**2 + (6 - 3 - 2)*(-2 - 4 + 4)*(-3*f**2 + 8 - 8)*(-266 + 537 - 270).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-116)*14\/5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 0*d**2 - 3*d**2)*(86*d + 88*d - 180*d + (2*d - 7*d + 3*d)*(-1 + 1 - 2) + d - 2 + 2).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 w when three letters picked without replacement from {w: 5, c: 2, n: 6}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7001 from -0.3166.\nAnswer: 7000.6834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 7*q + 1. Let b be l(-7). Let p be (-16)\/4 + b + 3. Let s be ((-2 - -12) + p)*200. What is s rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 16 = 26. Let m be (2*1)\/(-1 - s\/(-18)). Suppose 3*v + 14 = -4*a, -3*v - 5*a - m = 4. Which is greater: -7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/23 - -56\/115. Factor -2\/5*i + 0*i**2 + 0 + d*i**3.\nAnswer: 2*i*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g**4 + 1075*g**3 - 4570*g**2 - 12325*g - 6690 = 0 for g.\nAnswer: -223\/2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*12*4\/80. Let w be (v + 177)\/6 + 3. What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34430493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10379 - -17903. Calculate the highest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2736?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*s**2)*(-2*s**2 + 443*s + 2 - 443*s) in the form m + b*s + q*s**2 + u*s**4 + w*s**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -606, -603, -600, -597, -594, -591?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1050783 or -2101563\/2?\nAnswer: -2101563\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {x: 3, d: 1, g: 1, v: 1, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/(-77))\/((-6)\/(-3)). What is the nearest to -2\/5 in m, 4\/7, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b**2 - 10*b + 12. What is the units digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 16bb7?\nAnswer: -16bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + -29.1?\nAnswer: -88.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11 + -14)*-1)\/(-4*(-7)\/(-112)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.06, -2\/7, -1\/4, -5, -33\/5009?\nAnswer: -33\/5009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 236270 or 236269?\nAnswer: 236270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.2 rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62744843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73309 is divided by 24421?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 489 + 789332?\nAnswer: 789821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 1, e: 1, z: 2}. What is prob of sequence by?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 523\/72 < -220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -25*d + 48. Let u(o) = -5*o. What is -g(n) + 4*u(n)?\nAnswer: 5*n - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2421\/8 - -303. Let w = l - -7\/24. Let s = 1 - 4. Put w, s, -1\/2 in increasing order.\nAnswer: s, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94601\/12 - 7879. Let g = 4\/1453 - -108887\/31966. Find the common denominator of g and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-24)*6)\/(6\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*m**2 + 11*m**2 - 24*m**2 in the form f*m**2 + t*m + z and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -d63cd9 (base 14) to base 6\nAnswer: -415010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -398 - -423. Calculate the greatest common factor of 30 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*g - 4 = 0, 2*c - 4*g = -3*c + 10. Suppose 6 = 2*p - c*x, 0 = 3*x + 2*x + 5. Solve -2*f + 18 = 2*l + p*f, -2*l - 6 = -2*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*3\/(-63).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009627736508 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) + 3*sqrt(972)*2 - (sqrt(972) + 5*(sqrt(972) + 2*sqrt(972)) + sqrt(972) - sqrt(972)))\/((sqrt(972)*1 + sqrt(972))\/((sqrt(2) - sqrt(50))*5)).\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41739 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11575006 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 371 - -392. Let j = -10 + 10. Let g = i - j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -894.2 + 1886.3. Let o = -0.236 + 948.236. Let h = o - g. What is h rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 20669607*r. Let a(g) = -2*g**2. What is a(h(m))?\nAnswer: -854465307068898*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-12))\/(-3) + 5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1182*v**2 + 283*v - 283*v to b*v + k*v**2 + d and give k.\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*-1)\/((32670\/(-44))\/495).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*10\/(-75)*-9. Suppose 0 = 8*u + 537 - 577. Which is the closest to f? (a) -0.4 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 - -84. Let r = 35 + f. Which is the second smallest value? (a) r (b) 3\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66335241 + -306?\nAnswer: -66335547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23324.2 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 48 = l. Suppose -3*k - r = -40, 2*r - l = 7*k - 12*k. Calculate the common denominator of 59\/6 and 79\/9 - k\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -39*j**2 + 322*j - 336. What is f(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -103e10 (base 15) to base 16\nAnswer: -bca39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 194090941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1310*l - 1348*l - 151*l**2 + 3868*l - 1299*l.\nAnswer: -151*l**2 - 89*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 1\/5 (b) 1 (c) 1\/3 (d) -0.8 (e) 8 (f) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3937 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*l - 5, -i + 7 = 4*l + 42. Is 13 a factor of 5\/(50\/372) + 3\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 580 and 814630?\nAnswer: 47248540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaaa when four letters picked without replacement from xaaxxpxaxxgggx.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/65 and ((-36)\/16 + 2)\/(-709)*(-120)\/(-25).\nAnswer: 46085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 11, j: 9}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i + 21 = 5*x, -2*i + 4 = 0. Solve -c - 2 = -x*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136065, 272215, 408365, 544515?\nAnswer: 680665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -207*n**4 + 15*n**2 - 137. Let h(r) = -2*r**4 + 3*r**2 + 1. Let w(y) = 5*h(y) - m(y). Find the first derivative of w(x) wrt x.\nAnswer: 788*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6175 divided by 5\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17235474.\nAnswer: 2, 3, 2872579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101078 or -101074?\nAnswer: -101074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -80*s**2 - 25201*s\/3 - 35 = 0?\nAnswer: -105, -1\/240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.097 - 8.103. Let l = 8 + w. Are l and 0.19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3173*o + 28728. Determine b(-9).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qppb when four letters picked without replacement from qppbbqbbb.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/1 - 462\/88)*256\/48\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10840 (base 12) to base 15.\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/((m**(-3\/5)\/m*m)\/m)*m**(-4\/3)*m\/(m*m*m\/(m**(-1\/6)*m)) assuming m is positive.\nAnswer: m**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/80*18 - (-3)\/(-15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 0 (c) 1 (d) -0.1 (e) 29 (f) 2\/25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3331198 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3424704113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1708 divide 194271336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from aaamxaaaaaaaaa?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*r + 2, 0 = 2*r - 3*r + 4*b - 6. Let c = r + 1. Suppose 5*t + c*v = 336, -5*t - 7*v = -2*v - 340. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - l - 14 = -0*t, 0 = 2*t + 5*l - 26. Let o be 0\/((-3)\/3) + 4. What is the third derivative of 8*k**4 - t*k**o + 20*k**2 - 8*k**5 - 4*k**2 wrt k?\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -2)\/(0 + 1). Suppose -5 = -5*f, -2*z + p*f + 1 = -3*f. Let u(k) = -2*k**z - 3*k**2 + 4*k**2. Let v(b) = -9*b. Give v(u(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3022296 rounded to three dps?\nAnswer: 0.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5974, -12217, -18460, -24703, -30946, -37189?\n\"Answer: -6243*d + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)**(2\/5)*(l\/(l\/(l*l\/(((l**(-3)*l*l)\/l)\/l))))\/l*l\/l**2 assuming l is positive.\nAnswer: l**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 1742*y**2 + 3*y**3 + 1742*y**2 - y + 6*y to u*y**3 + l + f*y + z*y**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 67*a - 4 + a.\nAnswer: 68*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 37796?\nAnswer: 1\/18898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 2970552*t**2 + 551523081060*t - 4411994535200.\nAnswer: 4*(t - 371315)**2*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*f = -222*f - 3*l - 2065, 5*l = -f + 522. Calculate the least common multiple of 9 and f.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*n**3 + 4*n**3 + 6*n**5 - 4*n**3 + 6*n wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2627229981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1191, -1211, -1201, -1167, -1115, -1051, -981?\n\"Answer: -l**3 + 21*l**2 - 76*l - 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m + 2, -905 = -3*x - 5*m. Suppose 0 = 4*g + 24. Is (x\/9)\/(-5)*g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 17. Let h = -342 + 24. Let s = 384 + h. Calculate the remainder when s is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/5)\/(q\/(q*q**(-5\/6))))\/(q\/q**17*q\/((q*q**(-1\/9))\/q)))**(-6\/5) assuming q is positive.\nAnswer: q**(-1337\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b3 + 28?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17\/3 (b) -14.1 (c) -3180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 2:46 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/(-7) - 1) + 63040\/70 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -4 + 2*6. Let l = -16 + c. Let u(j) = 2*j + 35. Let a(n) = n + 16. Let k(w) = 13*a(w) - 6*u(w). What is k(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.1. Which is the closest to x? (a) -0.5 (b) -2\/21 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and (-1 - -8) + 0\/(-25).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 + 3*d**2)*(-4 + 20 - 2).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 14. Suppose t*h + 36 = 3*h. What is the remainder when 22 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20031, 20422, 20987, 21726?\n\"Answer: 87*h**2 + 130*h + 19814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193 - 131. Let t = -4 + d. Calculate the remainder when t is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*d**5 + 1821*d**4 + 5886*d**3 + 972*d**2 - 3240*d = 0.\nAnswer: -6, -1, 0, 30\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1419 and 1.48.\nAnswer: 1.3381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3733\/11 + -339. Let m be (-2)\/8 + (-7059)\/680. Let p = 43\/85 + m. Calculate the common denominator of q and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 244 = 40. Is o less than -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/104 - -1441\/520. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(13))*6*5*4.\nAnswer: 120*sqrt(13) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-1)*(2 - 10\/4). Suppose -c*u + 2*b = -0*b - 28, -7 = -u - 2*b. Solve 0 = s + k + u, -4*s + 7*k - 4*k = -7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3, -1 in descending order.\nAnswer: 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24442469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 5*g + 6*g - 2)*(-10*g - 23*g - 18*g).\nAnswer: 102*g**2 + 102*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (540\/(-1280))\/(33\/(-540)) - (-249)\/1328\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 16*q**2 - 2. Give g(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -k + 24, v + 4*v - 4*k = -21. What is the closest to 1 in -0.2, -2\/33, v?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + sqrt(363))**2 - (sqrt(3) + (1*sqrt(21)\/sqrt(7))**2)) + 2*(((sqrt(147) + -1 - sqrt(147))*-3 + sqrt(147))*6)**2.\nAnswer: 3001*sqrt(3) + 11598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = 39*q - 91 + 41. Put -3\/131, q, 2 in decreasing order.\nAnswer: 2, q, -3\/131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2434 - 3?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2199857*j**6 + 3*j**4 - 31342651*j**2.\nAnswer: 263982840*j**3 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = -0*i + 3*j, 5*j = -15. Calculate the smallest common multiple of 14 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64910103 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -108\/5. Is y smaller than -110\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15092 and 154?\nAnswer: 15092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*s*w + 3618*k**3*s + 3*k**2*s*w + k*s*w - 9*k*s + 14*k*w + 3*s*w - 20*w wrt k.\nAnswer: -6*k*s*w + 21708*k*s + 6*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 737 - 736.9691. Let g = 0.03 - v. What is g rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let c = 168 - 163. Let i(s) = 2*s**3 - 13*s**2 + 18*s - 9. Let g be i(c). Calculate the greatest common divisor of j and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.27 - -0.5.\nAnswer: -29.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -35*v - 5*p, -3*v + 6*p + 24 + 3 = 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 5 + 6)*(3*v**2 - 3*v**2 - 2*v**2) - 3*v**2 + v**2 + v**2 + 10*v**2 - 5 - 9*v**2 + 15 to the form c*v + f + h*v**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*x**2 + 24*x**2 + 29*x**2 + x - x**4 + (-2*x + 2*x**2 + 2*x)*(2*x**2 - 2*x**2 + x**2).\nAnswer: x**4 + 23*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 238631*a\/5 - 715884\/5.\nAnswer: -(a + 3)*(a + 238628)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -41 + -24 - -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhmmhmhhhmmmmhmhmm. What is prob of sequence hh?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66.1 + 66.1. Let r = 0.4 + 9.6. Let t = r + -5. Which is the nearest to i? (a) t (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2186 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -376 at most as big as -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:07 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -6, -51, -126, -231?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562756749?\nAnswer: 79, 401, 49331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 614, 1246, 1878, 2510?\n\"Answer: 632*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466285016 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 223 - 103 + 48*o**2 + 2*o**3 + 108 - 24 + 250*o = 0.\nAnswer: -17, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 3*l - 7. Let n be j(5). Suppose -4 = -3*u + q, -5*q = n*u + 13 + 7. What is the derivative of u - 5*p + 2 + 4 wrt p?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -1 + 14 - -12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256)\/(4\/(-1))*-5*(-2)\/(-20).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138408 by 1.\nAnswer: -138408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 54 = 2*k. Let y be (3 - (-570)\/k) + 2\/(-6). Let g = 23 + y. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14*n - 195. Let s(c) = 11*c - 198. What is -4*o(g) + 5*s(g)?\nAnswer: -g - 210","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*j + 45216 = 36*j. What is the greatest common factor of 44 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 848*m**3 + 377*m**2.\nAnswer: 5088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16976.\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1256\/(-1099) + 210954\/14. What is i rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*(-1 + -3). Let b(l) = -12*l**t - 2030 + 2030. Let j(f) = -f**2. What is b(j(i))?\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010 (base 4) to base 12.\nAnswer: -944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) + 390\/91. Find the second derivative of 21*j**5 - 48 - z*j + 48 wrt j.\nAnswer: 420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 + 36*l\/5 + 39\/5.\nAnswer: -3*(l - 13)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 157193784 divided by 1188\nAnswer: 132318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + n + 4, -f - 3*f - 2*n = 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r - 2449. Determine u(-50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*o**2 + 377*o**2 + 63*o**2 - 1 + 2*o**3 as a + y*o**2 + r*o + n*o**3 and give y.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 4) to base 8.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 95. Let u = 0.6 - 1. Sort -2, u, w in decreasing order.\nAnswer: u, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6520*j - 557. Let h(t) = 6560*t - 556. Let x(q) = 6*g(q) - 5*h(q). Differentiate x(m) with respect to m.\nAnswer: 6320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-8)*x*x)\/x**(2\/25)*(x**(-2\/9))**(-7))**(-43) assuming x is positive.\nAnswer: x**(34099\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 6*h**2 + 6. Let a = -4 + 10. Let d(i) = -i**2 + 1. Let q(o) = -o + 8. Let t be q(5). Let x be (2\/(-6))\/(t\/9). Calculate a*d(w) + x*g(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4905 + 4724. Is y bigger than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1329, -2663, -3999, -5337, -6677, -8019, -9363?\nAnswer: -10709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 964767 times -9?\nAnswer: -8682903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {r: 4, c: 2, e: 2, y: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 4 - sqrt(5)) + -4)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g - 20*g**2 + 8*g**2 - 3 - 9*g**2 - 19 with respect to g.\nAnswer: -42*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 21*z - 1086. Give r(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 26737 and -7.\nAnswer: 26730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 12 - (1 + 0 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*n + 117*n = 840. Calculate the greatest common divisor of 72 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5881 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*z**5 + z**4 + 137722*z**3 + 934*z**2 - 6379 wrt z?\nAnswer: -1260*z**2 + 24*z + 826332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -2 - (-5 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -3\/2, -0.4, -0.374, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2647 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 u, and 1 i when four letters picked without replacement from papaiaiaaiuauaaa.\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180\/8*(-13992)\/(-110)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 1183*m**5 + 20134413*m**4 + 627190415*m**3\/4 - 68056895*m**2\/2 - 3308838*m - 68048 = 0.\nAnswer: -17012, -8, -1\/26, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 4*((4 + sqrt(343))*3 + -4*sqrt(343) + -4)**2).\nAnswer: -896*sqrt(7) + 3248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(30)\/sqrt(5)) + (sqrt(78)\/(3*sqrt(6)) + sqrt(13))**2.\nAnswer: sqrt(13) + 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(153)*-6 + sqrt(153)))\/((2*sqrt(324))\/sqrt(9)).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 75. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53\/14 - -7\/2. Suppose -9*p + 31 = 4. Suppose 4*d = -3*i - 1, -7*i + 4 = -p*i. Which is the nearest to s? (a) -5 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*t + 28. Let r(c) = -2*c + 1. Let h(n) = n - 1. Let s(a) = -5*h(a) - 3*r(a). Let o be s(-2). Solve 4*f - 3 - t = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16330.68939 rounded to the nearest ten?\nAnswer: 16330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 9*a, -a = 2*v - 4718. List the prime factors of v.\nAnswer: 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 394 + -394.5. What is the third smallest value in 1\/5, -1\/8, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*x - 27, x = -w + 8 - 1. Suppose 3*h - 56 + 13 = u, w*u = -5*h - 31. Find the common denominator of (-94)\/u + 1\/(-2) and -77\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/126*7\/((-14)\/(-36))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-661 - -679)\/(4 - (-39 - -1))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37785)\/(-1374)*2\/132?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 0, -2*r + 3*s - 945 = -5*r. What is the greatest common factor of 126 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2283*s**2\/2 - 2285*s\/2 - 1.\nAnswer: -(s + 1)*(2283*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4 = 5*z, 4*p + 2*z = p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29843749 to the nearest integer?\nAnswer: 5463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(550)\/(sqrt(10)*-6) - sqrt(55)))\/(3*(sqrt(5) - sqrt(320)*-2)).\nAnswer: 14*sqrt(11)\/153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211 - 213. Let q = -1 + -2. Put y, q, 2\/9 in descending order.\nAnswer: 2\/9, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 3. Let s = 35 - 49. Let f be c(s). Solve 0 = -0*b - b - 4, 0 = -3*n - 2*b - f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/52)\/((-3)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242527917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/26 + (-14288517)\/(-611)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (1 + 2)) + (50 - 36) + -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i**2 + 24 - 24.\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (36\/117)\/((-22)\/(-20) + (-183)\/305)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 122601, -4, 410.\nAnswer: -4, 1, 410, 122601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 106, -2\/19, 5, 2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 9) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*h - 25, -4*n - 5 = 2*h - h. Suppose n = -8*k - k + 2340000. Round k to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/16 - 41\/2. Let y = 37 + w. Let x = y + 2. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24590 and 7935.\nAnswer: 39024330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agi when three letters picked without replacement from {a: 1, g: 1, v: 2, i: 9}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1130297114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11766 divided by -6.\nAnswer: -1961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -5. What is the lowest common multiple of p and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2. Let t(w) = 2*w - 8930. Determine t(m(s)).\nAnswer: 4*s**2 - 8930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:34 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -5, 1\/125, 0.3, 2115?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 15. Suppose -m*y + 106 = 5*l + 21, 5 = -5*l. Suppose 0 = -3*t + 5*s + 37, s - y = -5*t + 3*s. Solve 0 = -u - u - t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8068, 16712, 25352, 33988?\nAnswer: 42620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 4*a + 1. Let x be m(-5). Suppose 11*s - x*s = 5545. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:09 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 + 159. Suppose q = 5*w - 11. What is the third derivative of z**3 - w*z**2 - z**3 - 4*z**3 + 8*z**2 wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*m + 623 = 0, 5*c - 115*m - 1033 = -118*m. What is the remainder when c is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b. Let t(r) = -185*r**2 - 296*r + 148. Let a(w) = w**2 + 2*w - 1. Let f(u) = -444*a(u) - 3*t(u). Calculate f(z(x)).\nAnswer: 1776*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2 + 2)*(-2*y - 4*y - 2*y) + 3*y**2 - 4*y + 4*y.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 8*l**2 - 7*l. Let o be t(7). Suppose -23*i = -23*i - 11*i - 1078. Is o <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 141?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 3, 4, 14 in ascending order.\nAnswer: -5, 3, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -618*p**2 - 2169?\nAnswer: -1236*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15*6\/(-54)*((-16)\/10 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/(-9) + 84\/7 + (-26)\/(-6). Solve 2*d - 12 = -2*k, -t*k - 5*d + 27 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 2*l**2 + 4*l + 5. Let r(s) = -3*s**3 - 73*s**2 - 245*s - 8. Let p be r(-4). Let q(j) = -2*j**2 - 3*j - 4. Calculate p*q(f) - 3*b(f).\nAnswer: -3*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*g - 10, -f = -0*g - 5*g + 5. Which is the smallest value? (a) -2\/9 (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -36*t. Let f(q) = 482*q + 4. Give f(a(n)).\nAnswer: -17352*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n**5\/4 - 1605*n**4\/4 + 663*n**3\/2 + 839*n**2\/2 - 789*n\/4 - 585\/4 = 0. Calculate n.\nAnswer: -65, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 2*u + 3*u + 2 - 2*u - 2 + 3*u - 4*u + 0*u + (u - u - 2*u)*(-1 - 2 + 1) + 4 - 6*u - 4.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4509 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 1.7, 272\/9 in decreasing order.\nAnswer: 272\/9, 1.7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 84955 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 325 = -5*d. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s**2 - 22*s**2 - 8*s**2 + 8*s**2)*(-2*s + 2*s + 3*s).\nAnswer: -126*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 3. Let k(x) = 3*x - 7. Let u(h) = 2*k(h) - 5*t(h). Let c be u(2). Let b = -7 + c. Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-57)\/7*49\/(-70) and 1*((-5)\/4 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**2\/2 - m - 35. Let p be d(4). Suppose 1 = -2*f - p, 2*u - 82 = -5*f. Calculate the smallest common multiple of 4 and u.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ibininninin.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - l. Let y = 30 + -22. Let a(z) = -2*z + z**2 + 5*z**3 - 2*z - 4*z**3 - y*z**2. What is 2*a(i) - 7*r(i)?\nAnswer: 2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 - 9 = 5*p, -5*p = 5*x + 25. Let q be -6 - (6 + -10 + x). Solve q = 13*v - 16*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/((n**0\/n)\/n))\/(n**(-10)*n*n*n*n*n*n\/(n*(n*n\/n**(-8))\/n)*n) assuming n is positive.\nAnswer: n**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10480, -20959, -31436, -41911, -52384, -62855, -73324?\n\"Answer: r**2 - 10482*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11 - 3*d + 10*d - 8 - 8. Calculate the remainder when u(7) is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 15 + 14*j + 26 + (0 + 2 - 1)*(4*j - 4*j + 3*j).\nAnswer: 17*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/20 and -97\/182?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:46 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 229\/68 + -19\/17. Let t = -2 + o. Factor 0 - t*r**5 - 1\/4*r**3 - 1\/2*r**4 + 0*r + 0*r**2.\nAnswer: -r**3*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 22 = -4*r, -5*l - 125 = -34*r + 103 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 5:04 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-5)\/(10\/(-8)). Suppose -g - h - 12 = 0. Let t be 4\/10 - 92\/g. Solve 0 = -t*l + 2*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 11*n - 440. Suppose -5*u + n = -2*u - 5*d, -3*d + 39 = 3*u. Solve -u = -6*o - 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156*b - 470 wrt b?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*v - 7 = 0, -7*z = -10*z - 5*v - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -767 + 772. Let q(c) = -10*c**3 + 3*c - 12. Let y(p) = -30*p**3 + p**2 + 8*p - 37. Let r(d) = -7*q(d) + 2*y(d). Is r(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2344076m in centimeters?\nAnswer: 23.44076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1\/6, -0.3, 11 in decreasing order.\nAnswer: 15, 11, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 117*g - 2189. Let s(k) = -7*k - 5. Let f(v) = 20*v + 15. What is g*s(z) + 6*f(z)?\nAnswer: z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -896034 or -896181?\nAnswer: -896181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2253 - -2252.9999066. Round f to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7432 + -0.6?\nAnswer: 7431.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 125*o**2 + 126*o + 320. Let k be r(126). Let s(b) be the first derivative of -625\/4*b**4 - 21 - 500*b**3 - 600*b**2 - k*b. Solve s(u) = 0.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 21100?\nAnswer: 21042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*i = -73*i - 39*i - 5*b + 66, 5*i + 110 = -11*b for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 12:38 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - n - 66. Is (-11945)\/(-4) - n*8\/352 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 1973 = 2395. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p. Let b(c) = -605*c**2 - 230. Determine b(r(d)).\nAnswer: -102245*d**2 - 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + w = -4, 2 = -4*w + 6. Suppose 6*g + 483 = 3*o + g, 0 = -5*o + s*g + 795. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {d: 6, s: 2, n: 2, h: 2, t: 4, g: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 4, p: 3, u: 1}. What is prob of sequence kupp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6116.\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01043957 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 8*f**2 + 10*f + 11. Let y be a(-9). Suppose y*z = -31 + 123. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*s = -352*s + 4584 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c - 22 + c**3 - 10*c + 6*c**2 + 4*c**2. Let w be z(-9). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-171)\/(-12))\/(25\/(-8) + 3). Let t = -114 - u. Put 4, t, -3 in decreasing order.\nAnswer: 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/59 or 189?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -483, -21539 in decreasing order.\nAnswer: 2, -483, -21539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/((a*a**29)\/a))\/a)\/(a\/(a\/a**(-9))))**(3\/5) assuming a is positive.\nAnswer: a**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(18\/3)\/((-90)\/20))\/1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -928 = -55*o + 47*o. What is the greatest common divisor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -48)*1\/2*1. Let b = u - -21. Let a be 1\/b*6 - (1 - 1). What is the second smallest value in a, 2, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 25. Let j = 71611 + -71496. Calculate the greatest common divisor of j and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280224 = -7*w - 357974. What is w rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4403 and 918.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/11)\/c*c\/(c*c*c*c**(3\/17))*c**(-15)\/c**(1\/22) assuming c is positive.\nAnswer: c**(-6917\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 4*d + d - 2*d - d + 2*d + (2 - 1 + 0)*(-2*d - 4*d + 4*d) + 0*d - d + 2*d + d + 0*d + 0*d - 4930*d - 412*d - 2260*d + 1750*d - 1102*d.\nAnswer: -6956*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**34*t**14 assuming t is positive.\nAnswer: t**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 302542997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1928 and 33272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 23. Let d = -0.055 - 0.065. What is the closest to 0.2 in j, -1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = 5*r + h, -r + 3*r = -h - 128. Let l = -68 - r. Which is the biggest value? (a) l (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9093 + -9063. Solve -f*m + 14*m = 32 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136771*b**4 + 97*b - 4 wrt b.\nAnswer: 1641252*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.064 - -0.856. Let c = 0.12 - b. Put -4\/7, c, 2 in descending order.\nAnswer: 2, -4\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2299) - (sqrt(2299) - (-2 + sqrt(2299))**2)) + 1) - (-1*sqrt(152)*-2)\/((-1*sqrt(88) - sqrt(88))\/sqrt(11)).\nAnswer: -2304 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 5*x**2 - x**2)*(1 + 0 - 3) + 0*x**2 - 9*x**2 + 2*x**2 + x**2 + 0*x**2 + 4*x**2 in the form r*x + t + h*x**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*v**2)*(1 - 1 - 2) + (-v + v - v)*(-v + 5*v - 5*v) + (3*v - v - 7*v)*(30 - 30 - 7*v).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -143\/2. What is the common denominator of k and (-27)\/(-12)*6\/63?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/33*2)\/(18\/(-54))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*s + 128 = 0, w = -3*w - 4*s + 128. Let a = 51 - w. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680795 and 90189?\nAnswer: 18488745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 731\/3 + (-6)\/9. Suppose -2*g + 2*c = -0*g - 148, -3*g - 4*c = -j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 + 4*o**2 + 9*o**2 - 22*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r - 1. Suppose 2*f = -5*y - 2*f - 11, -5*f - 20 = 0. Let k(s) = -2*s**3 - s**2 - s + 1. What is y*k(d) + i(d)?\nAnswer: -d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -143210 rounded to the nearest one thousand?\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-23 - 13) + 21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 15. Let c be t(10). Suppose 0 = -3*a - c*m - 7, 3*m + 5 = a + m. Which is greater: 5\/3 or a?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -22859*m - 434459. Give o(-19).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -162259432 and -2?\nAnswer: 162259430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6637*o**2 - 1306*o**2 - 1449*o**2 as d*o + k*o**2 + s and give k.\nAnswer: -9392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59712 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19564 = -l - 3*b - 19544, -l + 12 = -5*b for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234.0000111 - 234. What is t rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35089*a**3*w - 23*a**2*w - 2*a*w - 158*w + 3 wrt a.\nAnswer: -210534*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 0.1, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867200 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 189\/3*(33\/(-21))\/(-11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 v when four letters picked without replacement from {b: 3, m: 3, n: 1, v: 6, h: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/60 and 9\/73732.\nAnswer: 1105980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/173 greater than 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*z + 83, 3*z + 2*j - 90 = 5*j. Which is the biggest value? (a) z (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7244117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13858.9 litres to millilitres.\nAnswer: 13858900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 374604 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 0)*(-3 + 0 + 1) + 4 + 0 - 1)*(4*m - 2*m - 4*m).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 22452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2. Let y(a) = 147*a. Calculate g(y(s)).\nAnswer: -21609*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10908, 18914, 26920?\n\"Answer: 8006*v + 2902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Sort g, -3, -1 in descending order.\nAnswer: -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x - 3. Let z be b(2). Let d = 4 - 0. Suppose -d*f + 6 = -2. Solve 3*q - z = -f*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.9 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 442 = 6*w. Let x(d) = d**3 + 3*d**2 + 14*d + 11. Let f be x(-5). Let o = f - w. Calculate the highest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1093 - 1086. Suppose -7 = 4*m - 91. Suppose 0 = -3*f + 4*g + 51, -f + m = -2*g + 4. Calculate the remainder when f is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w. Let z(h) be the third derivative of -5*h**4\/24 + 344*h**2. Determine y(z(b)).\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.8 - -0.8. Let j = 83.64 - -2.36. Let d = j + -86. What is the closest to d in -2, y, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 21*u. Let b(t) = -224*t**2. Give a(b(w)).\nAnswer: -4704*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/7))**(4\/41)\/(r**(-2))**(-35) assuming r is positive.\nAnswer: r**(-20094\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-3\/4)\/l)\/l)\/l)\/l)**4 assuming l is positive.\nAnswer: l**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 2*l**4 - 54*l**2 + 53*l**2 + 3 + 0*l**3 in the form k*l**3 + j*l**4 + s*l + c + h*l**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 1\/16*u**4 + 1\/40*u**5 - 1\/2*u**3 + 0*u - 16 - 6*u**2. Let k(a) be the second derivative of v(a). Factor k(w).\nAnswer: 3*(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 415564238 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*i + 158638 = 0, -2*a + 105744 = -7*i + 11*i. Suppose 2*b - 35254 = -4*m, -3*b + 15*m - 20*m = -a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (12 - 37) + -5 + -13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:37 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 4 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 472 = -200. Let h = b - 198. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - -44*(-4 + 0). Let w = a - -217. Let n(d) = -3*d - 4. What is the remainder when w is divided by n(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 177.6, -2\/5 in increasing order.\nAnswer: -2\/5, -1\/10, 177.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - g**2 + g - 1. Suppose -2*s - 2 = -u - 0*u, -3*u + 4 = -5*s. What is c(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14 and 1253908468?\nAnswer: 1253908467.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Suppose o = 4*r - 6*r + 6. Solve 0 = -7*m + r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.044074 to three decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 152550 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-118)\/5)\/((-16)\/24). Let x = r + -3782\/105. Find the common denominator of 91\/15 and x.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 10*j - 16. Let d(c) = -c**2 - 3*c - 5. Let r(q) = -11*d(q) + 4*u(q). Give r(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1478 + 2702. What is the highest common divisor of 544 and o?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11873013 is divided by 7416?\nAnswer: 7413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-50) - (-34272)\/(-45900))*102\/4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1796*v**3 + 0 + 0 + 1774*v**3 - 3*v**2.\nAnswer: -22*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 minutes before 7:39 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 35131 smaller than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*v - 91. Suppose -v = 2*h - 6*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2583362 - -0.2584. Round u to 6 decimal places.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*q - 2*s, -5*q = 13*s - 244 + 242 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 10*y**2 - 9 - 7*y**2 - 9*y + 14*y + y**2 to j + w*y + n*y**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 7. Give s(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 12*o - 4. Let v(z) = -z**2 - 9*z - 1. Let w be v(-8). Let k(g) = 3*g**2 - 37*g + 13. Let s(j) = w*y(j) + 2*k(j). Is s(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -339401?\nAnswer: -118\/339401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5 + 63*q**4 + 4*q**2 - 214*q.\nAnswer: 120*q**2 + 1512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1715 + 1715. Put -1, 0.5, k, 6 in increasing order.\nAnswer: -1, k, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -72.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -380 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 5*t**3 - 13*t**3 + 0*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1974500, -1974522, -1974544, -1974566, -1974588?\nAnswer: -1974610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 103788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 907042491 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = -30*l - 34. Let m(j) = -j**3 - 11*j**2 - 10*j - 9. What is m(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 2344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 + 144724*b + 28799424742.\nAnswer: 2*(b + 397991)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*x + 476, x - 6*x + 1201 = -f. Let s = x + -59. What are the prime factors of s?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 6*q**3 - 7*q**3 - 6*q**2.\nAnswer: -q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127056 + 3936. Suppose 26*m - s = -22*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - i**4 - 2*i**4)*(-2631 + 1584*i + 2631).\nAnswer: -4752*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Let t(a) be the second derivative of 0 - 1\/2*a**2 + 0*a**3 - c*a + 1\/6*a**4. Differentiate t(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792812 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + y = -134, 4*a + 3*y + 49 - 206 = 0. Let r(p) = -3*p**3 - 7*p**2 - 12*p + 1. Let c be r(-4). Calculate the greatest common divisor of a and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = 2*o + o, 15 = 3*g - 4*o. Let b(n) = -n**2 + 4*n + 9. Let a(k) = k**2 - 4*k - 10. Let j(v) = 5*a(v) + 6*b(v). Determine j(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (15 - 5 - 1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.494 * 30.9\nAnswer: -231.5646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.11 (b) 0.5 (c) 146151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-14))\/((-192)\/(-896))*-3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27290 is divided by 1299?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006526745?\nAnswer: 5, 17, 23606197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k + 2*g = 60*k - 10, k - 5*g - 34 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 6 + -4 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109545701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1496\/2485 + 1\/497. Let o = -0.1 + 0.3. Sort -0.2, o, 4\/7, m in descending order.\nAnswer: 4\/7, o, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thqqqqhhhhtqqhhshq. Give prob of sequence qhsq.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 463\/5. Let t(a) be the first derivative of 0*a**4 + h*a**5 + a**2 + 3 + 0*a**3 + 0*a. What is the second derivative of t(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 1 - (sqrt(931)*2 + sqrt(19)))**2 + (sqrt(19) - (sqrt(171)\/(sqrt(18)\/sqrt(2)) + sqrt(19)))*-3.\nAnswer: -23*sqrt(19) + 3212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*o - 3666, 45*o - n - 4891 = 41*o. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 - 132.6. Put -3, 0.5, 2\/15, h in increasing order.\nAnswer: -3, 2\/15, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*q + 76 - 75 = 0, -3*v + 2*q + 13 = 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.1 - 63.99. Let u = -158 - -83. Let k = t - u. What is the biggest value in 0.4, 2\/15, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(95)*-4)\/(sqrt(245)*3).\nAnswer: -16*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*b - 2 = 0, -4*p + 3*b = 33 + 4 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2915*(-56)\/(-5236) - 31\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 33 = s - 33, 27 = q + 2*s. Calculate the greatest common divisor of 861 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:07 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 31*u = -5*g + 1, -3*u = 9*g - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/671 and -125\/6.\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 k when three letters picked without replacement from qmmkqqqqqymqqyqmmmy.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/(118 + 0)). Let p = -63 - g. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 341202 (b) -0.5 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5784996 months in years?\nAnswer: 0.0482083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128.000151 - -128. What is s rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, 73, -2524?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -22, 6 in ascending order.\nAnswer: -22, 4\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**5\/((v**(1\/4)*v)\/v)**(-2\/27))**(-34) assuming v is positive.\nAnswer: v**(-1853\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b. Suppose -2*o = 3*l - 6, l - 2 = -b*o - 4*o. Factor 3*a**3 - a**4 + 6*a**2 - a**4 - 2*a**5 - a**3 - 4*a**l.\nAnswer: -2*a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/3114670 and -27\/5335.\nAnswer: 34261370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10608 divided by 3809\nAnswer: -816\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -401839497840?\nAnswer: -401839497847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8 + 2*z - 5 + 60*z**3.\nAnswer: 60*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.58837 - 0.04137. What is t rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, x: 1, g: 7}. What is prob of picking 1 x and 1 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -1206?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 2. Let i(d) = -d + 1. Give -5*i(p) - 2*y(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -587376966135413 and 2.\nAnswer: -587376966135411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 1825*a**2\/2 + 956075*a\/2 - 108069875\/2.\nAnswer: (a - 835)**2*(a - 155)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**4 - 7*j**3\/3 - 2. What is the third derivative of r(v) wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 118638?\nAnswer: 11862a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 2, p: 1, i: 2, s: 1, a: 1}. What is prob of sequence is?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 75. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001061 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 18. Is 6 a factor of z(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 2.3 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*q - 13*q + 12*q + 180. Let m(t) = 24*t**2 - 1. Let l be m(1). Solve 0 = l*c - 19*c - q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - (18 + (-2232)\/22)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8302, -16528, -24764, -33016, -41290?\n\"Answer: -w**3 + w**2 - 8222*w - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-70))\/((-10)\/(-80)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482152.\nAnswer: 2, 3, 103423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:50 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 2. Let u be (-1)\/2 + (-366)\/244. Calculate l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h**2 + 2. Let j(b) be the third derivative of b**4\/24 - 4*b**2 + 3*b. Give d(j(k)).\nAnswer: -9*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -13 + (-5 - 8) + (-1 - -22)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + l**2 - 3*l**2 - 29 in the form y + i*l**2 + h*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z + 4 + 30*z - 16*z. Let q be w(2). Suppose -4*k = -q*k. Solve k = 2*r - 0*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 4) + (-20)\/2. Let u = -7 - w. What is the third derivative of 4*j**2 + 2*j**u - j**3 + 0*j**3 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7654908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 1 = 110*q - 107*q, 4*q = 5*v - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11391 - -11386.371. Let h = -0.371 + p. Let r = 0.2 - -0.3. Which is the nearest to -3? (a) h (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 4*x**2 - 3*x. Let b be w(-5). Let a be (-5)\/(20\/4)*b. Calculate the greatest common divisor of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9740067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrrf when four letters picked without replacement from bbvwrnnvvnwfrw?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2603*b**3 - 2*b**2 - 4596*b.\nAnswer: 15618*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -0.5 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 709*k + 2 - 367*k - 354*k. Let d(y) = -24*y + 4. Give 6*d(p) - 11*w(p).\nAnswer: -12*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 28. Let 2*n - 2*n - 6*n**3 + 2*n**g + 8*n**5 - 2*n**4 - 2*n**3 = 0. Calculate n.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*w + 16, k = w + 2*k + 7. Is (-1 + 1)\/w + 17 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -8. Let w = s - -10. Factor -4*r + 4*r**2 - r**w + 2 - r**2.\nAnswer: 2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -9. Let y = p + -1. Let g = y - 1. What is the third smallest value in 2, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**3 - 5*d**3 + 11*d**3 - 2*d - 2*d**3 + 2*d + (0*d + 2*d - d)*(d**2 - d**2 + d**2) + 3*d**3 + 0*d**3 - 5*d**3 + 3 + 2*d**3 - 3)*(-3*d - d + 2*d).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4 = m, -6*r + 5*r = m + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 765\/30 + 90\/40*2\/9. Solve 168 = -b*n + 2*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/11 (b) -1 (c) -0.3 (d) 2 (e) -0.014 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (544*i**4 - 507*i**4 + 12*i - 14*i)*(-273 - 323 + 552) as b*i**4 + f*i + w + m*i**2 + a*i**3 and give f.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5564 divided by 428\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 3\/20*a**5 - 108*a**2 - 7\/2*a**4 + 0 + 30*a**3 - 19*a. Factor p(f).\nAnswer: 3*(f - 6)**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4312)\/(-2464)*(-1000)\/35?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4216649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -8 + 1 + 3 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134561?\nAnswer: 7, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1081304234 - -1\nAnswer: 1081304235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1bd0aa (base 15) to base 14\nAnswer: 275a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250 + -138. Let x(d) = d**2 + 2*d - 8. Let g be x(-6). Calculate the highest common factor of g and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-12) + 38\/(-12). Is (s - -1)\/((-4)\/50) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 6.\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34028 - -0.24028. What is the third smallest value in 2.4, t, 0.05?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 > -517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316277981.\nAnswer: 311, 1016971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75.904 + 0.896. What is x rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45190\/(-49709)*1\/5*-3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 61*o**3 - 2*o**2 - 11*o - 13. Calculate u(-2).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 1\/3 - 1\/3*q**2.\nAnswer: -(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2. Let v(w) be the first derivative of w**2\/2 - 9*w - 178. Give -9*t(l) - 2*v(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2002 and 546?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7313 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*f**6 + 0*f + 36*f**2 + 0*f - 6*f**2 wrt f?\nAnswer: 2520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, -1, -1\/44, 10 in increasing order.\nAnswer: -4, -1, -1\/44, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-396)\/45)\/(-11))\/(-3*(-6)\/225).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.232 and -0.8042589455.\nAnswer: -1.0362589455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -236*w**2 - 66084*w - 723. Calculate u(-280).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*r**3 - 9*r**3 - r**3 - 39*r**3 + 0*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v - 2. Let w be j(-3). Suppose -5*p = 5*f - 70, -2*f - 2*p + w = -5*p. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 2*h, -368*h + 366*h + 8 = 0. Suppose -4*q = q + 25. Let u = -10 - q. Which is the nearest to 0.1? (a) z (b) u (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -23. Solve 4*b - i*t = -2, -40*b - 16 = -35*b + 2*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(605) - sqrt(605))**2 + 2 + sqrt(720) + -5 - 3*5*(sqrt(320)*-4)**2.\nAnswer: -76802 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -487.\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x + 3. Let f be d(3). Let n be (2\/(-5))\/(f\/(-5)). Let v = 49\/20 - 37\/10. Which is the third smallest value? (a) 1 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqomkvq. Give prob of picking 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4317*25\/15 - (8 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8905186.\nAnswer: 2, 19, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -341444, -682887, -1024336, -1365797, -1707276, -2048779, -2390312, -2731881?\n\"Answer: -m**3 + 3*m**2 - 341445*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 467320 (base 8) to base 7\nAnswer: 1232561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2205? (a) 1.8 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1752)\/146*(-4)\/6*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Let g(b) = b**2 + 1. Let i(r) = g(r) + o(r). Calculate i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4872 and 13\/4466.\nAnswer: 53592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwvyvvrwvvywyyvrvri. What is prob of picking 1 i, 1 r, and 2 y?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + c - c - 2 + 2*c + 2 + (-5*c + 2*c + 2*c)*(0 - 1 - 1) - 2 + c + 2 - c + c + 2*c + 9*c - 6*c - 8*c + 2*c + 3*c - 3*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y + 3*y + (-4 + 4 + y)*(0 - 1 + 4))*(-5 + 2 - 1).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 1. Suppose p - 72 = -3*p. Let g be (-3)\/(p\/1)*1. Sort -1\/3, g, x.\nAnswer: -1\/3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-40)\/(-6)))\/(1551\/188).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6413, -15471, -24527, -33581?\n\"Answer: s**2 - 9061*s + 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*p**3*q**2 + 79751*j*q**3 - 1139*p**3*q**2 - 58*p**3 + p*q**3 with respect to j.\nAnswer: p**3*q**2 + 79751*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/(5 - -2)). What is the remainder when 19 is divided by (-13)\/(-2) + j\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2868 - -3992. List the prime factors of w.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**4 - 785705*y**3 - y - 3278468.\nAnswer: 4*y**3 - 2357115*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 2. Let t(l) = -4*l - 7. Suppose 0*q + q = -4*d - 31, 0 = -d - q - 10. Let w(n) = d*u(n) - 2*t(n). Let f(m) = -1 + 8 - 7 - m. What is w(f(s))?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*b - 8*b + z + 15, b - 5*z + 9 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 359034 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -223974 + 671926\/3. Solve -y - 2\/3*p**5 + 14\/3*p + 4\/3*p**4 - 16\/3*p**2 + 4\/3*p**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4066\/(-228))\/(-13 - (-462)\/36)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-410)\/60 - (-3)\/(-18) - -4137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 33950\/72447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012592 to five dps.\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000061617769 to 7 dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/30 + n**4\/3 - n**3\/2 + n**2. Let t = 2164 - 2159. Determine o(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -1.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 k when four letters picked without replacement from knnnkknnnnwnnnwk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.0384?\nAnswer: 0.4384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 8*t - 6. Let c = -8 - -2. Let x be p(c). Solve -x + 2 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94, 96, 98, 100, 102, 104?\n\"Answer: 2*s + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/2*-2*(-9)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let q = -1 + 1. Suppose -5*l = 13 - 38. Sort l, q, i in decreasing order.\nAnswer: l, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4704, -5243, -5782, -6321?\n\"Answer: -539*l - 4165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 - 1032*h + 489952 = 0. Calculate h.\nAnswer: -502, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(5\/(15\/(-6))). Suppose -5*d - 11 = i. Let q(f) = 2*f**2 + 3*f - 3. Suppose -p - 4 = p. Let l(a) = -2*a**2 - 2*a + 2. What is d*l(r) + p*q(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -117*m**3 - m**2 - m - 1. Calculate a(1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 841.12 - 841. Does -4 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.102 + 3.898. What is the second biggest value in i, -2, 1\/6, -8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2 + -4 + -4 + -6. Calculate the remainder when 45 is divided by (o\/(-25))\/(1\/(-5)) - -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005245 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(3\/2))\/(d\/d**(-32))*(d**7*d)\/(d**39*d) assuming d is positive.\nAnswer: d**(-131\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 10 + 17*h - 35.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820\/(-2820)*42\/10?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 482855 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455056529.\nAnswer: 3, 193, 2513051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/10 and 51\/640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*d, 5*c - 5 = -4*d - 3. Suppose -j**c + 2*j**3 - 2*j + j**4 - 5 + 5 = 0. What is j?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**11)*f*f))\/(f*f**(-1\/4)\/f))**(-2\/55) assuming f is positive.\nAnswer: f**(-41\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.804 + 5076.196. Let h = 5070.954 - f. Let w = h + 0.046. Sort 5, w, -1, -0.4.\nAnswer: w, -1, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22621, 44643, 66687, 88765, 110889, 133071, 155323, 177657?\n\"Answer: 2*u**3 - u**2 + 22011*u + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:40 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 68. Let k(r) = v*r**3 + 1 - r + r + 0. Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42842 greater than or equal to 42843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5723\/38 - 301\/2. What is the closest to -0.06 in 0.8, 4, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 639\/5 + -128. Let y = -697 + 695. What is the smallest value in 0, -13, z, y?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 - 4*h + 10. Let q be f(3). Let n = q + -58. Find v such that 0 + 0*v + 2\/5*v**2 - 2\/5*v**4 + 2\/5*v**5 - 2\/5*v**n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-7) - 2393\/(-16). Let g = n - 151. Find the common denominator of g and 53\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2638, -10511, -23636, -42019, -65666, -94583, -128776?\n\"Answer: -a**3 - 2620*a**2 - 6*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142 - -145. Suppose -4*w + 3*b + 800 = 0, 0 = 5*w + f*b - 254 - 746. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yuccyuyc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*s - 1306 - 101 = 82*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 4*o. Let l be a(-2). Suppose l = 3*j - 0*j - 384. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(2 - 3)*-35. Let v = 140 - z. Solve v = -3*c + 5*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 + -70 - (-1 + 7)) + 6 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -16. Suppose 0 = g - 3, -5*g = -f*i + 55. Calculate the remainder when 41 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 791 and 151.\nAnswer: 119441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/45*5*(-90)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39857126, 79714251, 119571376, 159428501?\n\"Answer: 39857125*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:38 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87803126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 108\/8495, 2.\nAnswer: -0.04, 108\/8495, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040815 rounded to 6 decimal places?\nAnswer: 0.000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1980 and 14058.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/8*-4*(5 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1706, -1, 4, -3 in decreasing order.\nAnswer: 4, -1, -3, -1706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2. Let q(c) = 245*c. What is d(q(b))?\nAnswer: -240100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (102\/(-21) - 2)*(-21)\/3. Calculate the greatest common factor of f and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x - 3, 23 = -i - 4*x. Let z = 8 + i. Let u be (-3 - 10\/(-6))*z. Solve 4*y + 2*o + 8 = 6*o, 0 = 2*o + u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/3 - 77*y**3\/3 - 1868*y**2\/3 - 14080*y\/3 - 4096 = 0. What is y?\nAnswer: -32, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 2, -1438, -3, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1520)\/32)\/95)\/(2*(-1)\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -50912.\nAnswer: -1\/25456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 8422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 366*w**4 - 82 with respect to w.\nAnswer: 1464*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + g + 3. Let a be k(0). Let x = 0 + a. Let n = -1 + 5. Solve s - n = x*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 6*m + 4. Let y be o(-3). Suppose 0 = -5*q - 31 - 24. Let g = y - q. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 3*a**2 - 1\/3*a**3 + 3\/8*a**4 + 0*a + 1\/30*a**7 - 3\/40*a**6 + 0 - 1\/12*a**5. Factor b(x).\nAnswer: (x - 1)**2*(x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f + 4*f - 111 - 141 - 18*f as z*f + k and give k.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040508 is divided by 685?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/2 - 1375*o + 13700 = 0. Calculate o.\nAnswer: 10, 2740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45741?\nAnswer: 3, 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0 + 0*j**4 + 0*j**5 - 2\/3*j**3 + 1\/120*j**6 + 2*j**2 + 0*j. What is the first derivative of o(b) wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*j + 81*j + 24 = 0. Let u be (-6 - -3) + (-2)\/j*0. Sort 3, 4, u, 2 in decreasing order.\nAnswer: 4, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -3*t. Suppose -t*q = -265 - 581. Suppose 2*y - 120 = q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*f = -2*k + 90, -3*k + 3*f = -54. Let l = k + -10. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*h + 4 + 8, -8 = 4*h - 4*q. Let g = h + -3. List the prime factors of (g - (1 + -3))*47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195413611482 + 2.\nAnswer: 195413611484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**6\/72 + 19*o**5\/24 + 35*o**4\/4 + 3*o**3\/2 - 5*o**2\/2 - 3*o - 33. Let s(m) be the second derivative of r(m). Factor s(k).\nAnswer: -5*(k - 21)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -313714944*t**3\/7 + 939090240*t**2\/7 + 6160412*t\/7 + 10092\/7.\nAnswer: -4*(t - 3)*(8856*t + 29)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 4. Let z be y(-5). Let s = z - -14. What is the second derivative of 0*g**5 - 7*g**s - 5*g + g + 2*g wrt g?\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17119, -34054, -51001, -67966, -84955, -101974, -119029, -136126?\n\"Answer: -o**3 - 16928*o - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*g**6 - 9*g**5*x - 4*g**3 - 8211*g**2 - 5*g*x wrt g.\nAnswer: -3120*g**3 - 540*g**2*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4218\/52669 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(114)\/sqrt(6) - sqrt(19)) + sqrt(171)\/sqrt(81).\nAnswer: sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2901649 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: Is 1564294651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001379485017 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + r - 6, 16*b - r = 21*b - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5 + 20. Let u be g\/9 + 1\/(-2). Let l = -49061 - -49060. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = 5*z - 1, h - 6 = -3*z. Let j = 6 + -10. Does 10 divide 30 - h*j\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10)*2 + sqrt(10)) + -3.\nAnswer: -3 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86.9494 - -82.45. Let f = k + 4.5. Round f to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 496\/(-93) - 1\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**7\/8820 - j**4\/8 - j**2. Let z(p) be the second derivative of v(p). Factor z(s).\nAnswer: -2*s**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 5*a + 135. Let r be 242\/6 + a\/6. Suppose -36 = -r*b + 39*b. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(99) - sqrt(99)*-1*-5)\/((sqrt(81) + -4*sqrt(81)*1)\/sqrt(9)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -39, -59, -79, -99, -119?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/m**(1\/5))))**(34\/3)\/((m**7\/m)\/m*m**(3\/16)) assuming m is positive.\nAnswer: m**(931\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let c be (2 + -4)\/((-1)\/m). Let f(h) = c*h - 1 + 0*h + 0 + 2*h. Give f(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 199 = -f, -2*f + 7*f - 345 = -5*i. Suppose -i = -3*b - d, 4*d - 1 = b - 6. Solve -b*j + 6 = -19*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2 - 42*u + 10. Let n(x) = -4*x**2 - 21*x + 5. Let o(f) = 5*n(f) - 3*v(f). Let j be o(-22). Is j smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izzofzoafos. What is prob of picking 1 f and 2 o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 3950471.8?\nAnswer: -19752359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 93\nAnswer: 102.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/32491712 and -37\/968.\nAnswer: 357408832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let m(x) be the third derivative of -x**2 + 0*x + 1\/12*x**4 + 0 + 0*x**3. Determine b(m(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z - 5*c + 25, 4*c = z + 17. Suppose 4*b + 5*p - 44 = 0, -z*b + b - 4*p = -22. Let o(w) = b*w + 21*w - 30*w. Let f(x) = 12*x. Calculate o(f(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 0.4. Let t = 86.7 - 83. Let u = 3.6 - t. What is the smallest value in 0, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-1) - (26 - (-3335)\/(-174)))\/((-1)\/10).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, 1\/5, -10, -333, 0?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -11) + (2 + 1 - (-10 - (52 + -40))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10853 + 66947 = -l, 0 = -v - 10*l + 28110. Calculate the greatest common factor of 110 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 0 + 4 + 0 - 35*s + 6.\nAnswer: -35*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.10737 hours?\nAnswer: 386.532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -835*v**4 + 1046*v + v**2 - 2099*v + 1053*v - 205 wrt v?\nAnswer: -20040*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = 372. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/70*28*(-132)\/(-561)?\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 + 400050*c**2 - 13337066916*c + 26672533656 = 0.\nAnswer: 2, 66674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 12:15 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 4*x**2 + 4*x + 3. Suppose 4*k = 9*k, -128 = -4*o - 3*k. Suppose o*q - 29*q + 12 = 0. Give c(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-144) + 3\/(-9). Let r(c) = 0*c + c**2 - c + 49 + 108 + 3*c. Does 17 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 9*b**4\/2 - b**3 - 11*b**2\/2 - 152*b. What is the tens digit of x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*h + 42 + 42 - 134 = -50 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 23 = -3*c - t, 3*t = 6. Solve c*j + 9 = -11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -27*x**2 - 2*x. Let c be -3 + -3 - ((-7)\/(-1) + (-36)\/2). Let g(d) = -55*d**2 - 5*d. Give c*y(t) - 2*g(t).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 - -96. Let z = 134 - v. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 4479 - 4409 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2613085.\nAnswer: 5, 503, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1056 + 1055.7737. What is m rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 = 4*h. Sort 3, h, 2 in descending order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and -8.27?\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -y + 4*b, -4*b + 230 = 4*y + y. Let w be 0\/(-4 - -8) + y. Suppose -x + c + 46 + w = 0, -5*c = 5*x - 440. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from ffuusnnssfrbusu.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 28514485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -2 (b) 1\/12 (c) -0.4 (d) 107\/21 (e) 5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(4\/7)\/i))\/(i\/(i*i**(-2))))**49\/((i*(i*i*i\/i**(-2\/13))\/i)\/((i**(2\/3)*i)\/i*i*i)*(i**(1\/4)*i)**(-1\/29)) assuming i is positive.\nAnswer: i**(-350357\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 92.6. Let u = 79.82 - 80. Let n = u - 3.82. What is the second biggest value in w, -13, n, 3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + 13503?\nAnswer: 13420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -2 in descending order.\nAnswer: -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-2511)\/(-3906)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -20, 0.97542, -2?\nAnswer: 0.97542","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35622779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 7*b**2 + 0*b**2)*(13 - 19 - 19)*(b**2 - 4*b**2 + 4*b**2).\nAnswer: -100*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xxvb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103.7 - -104.1. Let d = -44\/3 - -13. Which is the second smallest value? (a) -1.1 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8*-1*-2*-3. Suppose n + 4 = 0, b - i*n = 4*b. Calculate the remainder when 9 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040\/20 + -5 + (-2 - -7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22\/201 + 1306\/33969. What is the common denominator of -74\/39 and q?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*f = -2, s + 4*f = -4*s + 4. Let g = -3 - -4. Suppose -b - b = -w + g, -b + 4 = 4*w. Are b and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1917 - 1258 = x, 5*x = j - 1583. What are the prime factors of j?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/20 and -29\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.4, 1, 0.86, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311, 136, -335, -1102, -2165, -3524?\nAnswer: -5179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*o**5 + 2817*o**2 - 4676*o**3 + o**4 + o + 2*o**4 + 4679*o**3 wrt o.\nAnswer: 4020*o**2 + 72*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 - -262. Let l = q - -391. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**3 + 4*j**2 - 5*j + 4. Let s be y(2). Let k = 11 + s. Let b = -76 + k. What is the closest to b in -5, -1\/8, 13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*c - 2 = 0, 5*h - h = -c - 18. Let v = -2 - h. Let l(q) = q - 7*q**2 + 5 - 9 + 5. Let i(t) = 3*t**2. Calculate v*l(s) + 5*i(s).\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503973.5nm to micrometers.\nAnswer: 503.9735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 649769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -20, 27 in descending order.\nAnswer: 27, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:47 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a**2 + 48*a - 52. Let u(v) = -10*v**2 - 49*v + 53. Let z(m) = -5*r(m) - 4*u(m). Determine k so that z(k) = 0.\nAnswer: -3, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550422 is divided by 183470.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**6\/1440 + 19*v**5\/240 - 361*v**4\/96 + v**3 + 2*v - 234. Let h(y) be the third derivative of o(y). Solve h(u) = 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yslsqjqjeysss. What is prob of sequence qqe?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(55)\/(sqrt(275) - sqrt(11))) + -4 + sqrt(7) + 1 + -1 + -2 + -1)**2.\nAnswer: -70*sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - -36) + (4 - 2) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023334421 (base 5) to base 16.\nAnswer: 3ee294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(-8014*r + 4371*r + 4131*r).\nAnswer: -488*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Let y(r) = -13*r + g - 4 + r. Let q(f) = -2*f**2. Calculate y(q(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 152*x**2 + 82*x - 59. Is l(70) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + o + 3, -2*o = 2*f - 7*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 53. Let s = 46 + -28. What is the remainder when t(0) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000671695064 to 7 dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 8. Suppose -a = -0*x - 2*x. Suppose 0 = y + x - 9. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*j - 713*j = 18945 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9513277 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.7 + 11.6922. What is i rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 5211?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/9 - 40\/6. Let n(j) = -58*j - 74. Let k(l) = 5 + 18 + 7 + 29*l + 15 - 8. Let s(b) = p*n(b) - 11*k(b). Differentiate s(d) wrt d.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j - 1\/3*j**3 - 3*j**2 + 1. Determine q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 1107042516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 1, u: 1, m: 2, z: 1, w: 1}. Give prob of sequence uu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*g**2 + 3*g**3 - 31*g**2 + 15*g**2 - g + 0*g**3 in the form x*g**2 + h*g**3 + v + w*g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**(-6\/17)\/(i*i\/i**(-2\/7))**35 assuming i is positive.\nAnswer: i**(-9532\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = -s + 19*g + 297, 0 = -5*s + 2*g + 1478. Which is smaller: 295 or s?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -6, 0.226 in decreasing order.\nAnswer: 0.226, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 3 - (-24)\/6. Suppose 236 = 4*p - 5*x, 66 = p - z*x - 3*x. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - c079?\nAnswer: -c075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 - 9*d - 22*d + 3 - 9*d - 15*d.\nAnswer: -8*d**2 - 55*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 11:28 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*s = 275, 0 = -3*w + 2*s - 43 + 326. Calculate the remainder when 102 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -3, -1.4, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 - 15*r + 5. Let h(q) = 12*q**2 + 48*q - 16. Let a(z) = -5*h(z) - 16*u(z). Let s(g) = 7*g. Give s(a(p)).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 47*p - 77. Let y be m(36). Let w = 799 - y. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 877*l - 885*l + 3712 = 0. Is 29 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-2916) - (-1)\/4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/7 - 23*g**4\/7 + 190*g**3\/7 - 690*g**2\/7 + 1089*g\/7 - 81 = 0.\nAnswer: 1, 3, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 48637.487 to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2*1*2)\/(sqrt(112)\/(sqrt(28)\/sqrt(4))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 40. Let w = 35 - b. What is the second smallest value in w, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192253177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-20))\/((-4)\/(-110)). Let y = m + -23\/3. Find the common denominator of y and -95\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4767.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/7)\/((-10)\/5)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*x**3 + 14*x**3 - 27*x**3 - 2*x**4)*(4 + 5 + 13)*(-4 + 2 + 1)*(-4 - 1 + 4) to the form l*x**4 + k*x**3 + z*x**2 + y + t*x and give k.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/69)\/((-642)\/428)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -m - 450 + 70, -5*i - 5*m + 1910 = 0. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 194, 240, 284, 326, 366?\n\"Answer: -z**2 + 49*z + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.83 + 0.17. Let s = -974 + 3895\/4. Are s and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*p - 0*j + 198, j + 253 = 5*p. Calculate the greatest common factor of p and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j - 5. Let x be s(0). Let c(w) = -w**3 + w**2 + 30*w. Let y be c(x). Solve h + 5*l - 15 = y, l - 4*l = -5*h - 37 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meemfrjmmrrtetmjttm. What is prob of sequence tf?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035676659 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 3*d + 30*d**3 - 32*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -203\/3, 3\/31, 0.1 in descending order.\nAnswer: 0.1, 3\/31, -203\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*n**5 + 521*n wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -41*k - 1. Let g be b(-1). Let j(q) = q**3 + 10*q**2 - 12*q + 5. Let z be j(-11). Calculate the greatest common divisor of z and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 17. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than -7.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.29 - 22.6. Let k = j + -0.49. What is the closest to k in -0.4, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 0 - (8 - 8). Suppose -p*r - 4 = -84. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + 2 - (-6 - -6 - -98)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/544 and -155\/3672.\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 1. Let v = -10 - -7. Let q be m(v). Solve -5*h + 15 = -5*j, q*j + 3*h - 5*h + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 94\/18 + 10\/(-45). Solve 0 = -5*y + g + 2 - 5, -4*g = -3*y + t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a. Suppose -5*r + 54 = r. Suppose r*h - 17 = 19. Let k(d) = -33*d - h*d**2 + 33*d. Determine k(p(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46438589 and 1147?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -24*q**2 + 20*q. Let h(o) = -o**2 + o. Let b(l) = -l**2 + 140*l - 1139. Let i be b(9). Give i*h(a) - 2*c(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.16 + -4.45. Round t to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 3, v: 4, p: 1, u: 7}. Give prob of sequence vvvo.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = r, 79*r - 81*r + 15 = 3*j. Solve -17*t + 47 - 30 = r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(26)*3)\/(sqrt(2) - sqrt(1250)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 438*q**3 + 505*q - 422163 wrt q.\nAnswer: 1314*q**2 + 505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -2*v**3\/3 - 17*v**2\/2 + 96*v + 188. Let s(i) = 46*i**2 - i - 1. What is the remainder when s(-1) is divided by a(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 484470 - 484382 - 9*i + 9*i.\nAnswer: i**2 + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 6712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -54.728, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -21. Let u(p) = p**2 - 12*p + 14. Let f be u(2). Let w = m - f. Is w < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**10\/100800 - q**9\/40320 + 4*q**5\/15 + 17*q**2. Let s(x) be the third derivative of l(x). Factor s(a).\nAnswer: -3*a**3*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*n = 91*n + 7*n + 3588 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 210*w. Let t(s) = 27*s. Give t(j(p)).\nAnswer: 5670*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2347 divide 1045047474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(1 + 1)\/(5 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3048716 take away 0.422?\nAnswer: 0.8828716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*w**4 - 4*w - 48*w**2 + 20*w**4 - 3*w**3 + 50*w**2 in the form c*w**2 + x*w**3 + f*w + z + a*w**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2042915 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*z - 10, 3*h = h + 4*z + 2. Let x = h + -8. Let s be 69\/(-18) + (-5)\/30. Is x at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 34447*j**3 - 14*j**2 - 34857*j**3 + 10*j**2.\nAnswer: -410*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 315452828 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 730, 0.2, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2 = -4*y, 1069*r = 1062*r - y + 38 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 + -1011?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 33*k - 6*n = 7, -k - 7 = 4*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -16*p**3 + p - 1. Let k be h(1). Let w = k + 31. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 411*a - 816. Let l be n(-2). Sort l, 6, -5, 2, 0 in decreasing order.\nAnswer: 6, 2, 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*t - 16, p - 5 = 3*t - 2. Let o be 10752\/63 - 4\/p - -4. Let m(u) = u - o + 174. Let s(v) = v. Determine s(m(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -8 in ascending order.\nAnswer: -8, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55584 + 55600. Let c = 6 - 4. Put 5, c, i, 1 in decreasing order.\nAnswer: i, 5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 4*n + 4*n + (0 - 3 + 2)*(-n + n - 2*n))*(-4877784*n + 4877784*n - 5655*n**2).\nAnswer: -5655*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2650 and 1590.\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*g**3*i*n*p**2 - g**3*i + g**3*n*p - 2*g**2*n + g*n*p**2 + g*p**2 - 79*p wrt p?\nAnswer: -28*g**3*i*n + 2*g*n + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 63\/132*-10 and -37*2\/32 - 0.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 267 + -270. Let o be (-6)\/d + -1622*(1 + -10). Round o to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:48 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2450)\/(-2100)*(20\/(-9) + 4\/18)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s - 2*s - 7 - 2 + 2*s. Let h be i(5). Solve 3*l = u + h, 5*l + 7 = -5*u + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i + 3*i)*(-2*i + 6*i - 2*i)*(2 - 4 - 2).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i*k**3 - 5*i*k**2 + 2*i*k - 2*i + 42*k**4 wrt k?\nAnswer: -18*i + 1008*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 4\/(5\/5 + 5 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -110 - 21?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/53821356 and -91\/56664.\nAnswer: 322928136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -325260 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 11*d**2 + 4*d - 18. Suppose 0 = 4*m + 23*m - 297. Let g be s(m). Suppose 2*i - 87 = -9. What is the highest common divisor of g and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-5))\/(62\/155). Solve n + 20 - i = 5*g, -4*g = -2*n - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-157.09.\nAnswer: 1256.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8104*a + 36 + 84 = 8092*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g - b + 5, 3*b - 15 = -g. Let c(k) = -k**3 - 5*k**2 - k - 5. Let f be c(-5). Suppose -4*j + 4 + g = f. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 33 = -1. Suppose -21*d + 516 = -p*d. Find m, given that -72*m - 21*m**4 - 12 - 26*m**3 - 8*m**3 + 0*m**3 - 56*m**3 - d*m**2 = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(10455\/40)\/(-51)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.5552526*0.5\nAnswer: 0.7776263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 9*h - 15. Let u be j(6). What is the nearest to -1 in 6, u, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.535 - 0.44. Let i = m + -0.025. Let g = 2 + -1. Which is the nearest to g? (a) -0.4 (b) i (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24052126.942 and -33.\nAnswer: -24052159.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-2)\/17 - 18\/(-1020)). Suppose p - 2*p = -50. Calculate the highest common divisor of a and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(70\/(-8)))\/((-2)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*j**2*v**3 - 231*j**2 - 2*j*v**3 - j*v with respect to v.\nAnswer: 144*j**2*v**2 - 6*j*v**2 - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3784500*u**3 + 1548600*u**2 + 14000*u + 32 = 0.\nAnswer: -2\/5, -2\/435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 11. What is the nearest to -1\/4 in c, -1\/3, 0.03?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 891430962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68555 - 45716. Calculate the highest common factor of r and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 14. Suppose -23 = -y - 4*c, -y - z*c - 3 + 18 = 0. Suppose 4*g - y*g = -42. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*b - 4, 2*b = -15*x + 10*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 23235744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose 0 = -4*r - 20, t*j + r - 187 = -3*r. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k - k)*(3*k**2 - k**2 - k**2 + (-4 + 4 + 1)*(5*k**2 - k**2 - 5*k**2) + k**2 - 2*k**2 - k**2) + 4*k**3 - 4*k**3 + k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 275.96 + -275.5. What is the nearest to 0 in -0.4, r, 34, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2821\/4 - -1411\/2. What is the fifth biggest value in u, 1, 29, -1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 1\/6*m**4 + 34*m + 0 + 0*m**3 + 0*m**2. Let c(s) = 15*s. Give c(z(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - -3 - 32\/5. Which is the biggest value? (a) 2 (b) 1\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 7*v + 1. Let p(b) = -b**2 + 6*b + 1. Suppose 0 = -5*c, 3*z + 9 = -0*c + 2*c. Let t(a) = z*p(a) + 2*o(a). Suppose 0 = 4*x - x - 6. Give t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-30))\/((-3)\/(-45)). Let y be (0*3\/n)\/1. Suppose y*q = 2*q - 358. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0947582 + -148.02682?\nAnswer: -147.9320618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 363*k + 4 - 4.\nAnswer: -363*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(17\/((-1020)\/(-36))). What is the highest common divisor of n and 7610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 26. Let q = 6 + -2. Solve -2*k - g - p = 4*g, -q*k + g = -8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/78348 and -119\/1002.\nAnswer: 13084116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99456 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145 + 162. Let d(z) = 17*z + 4. Let o be d(6). Suppose -o = -3*f + 149. Calculate the highest common divisor of f and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -134*f - 1525. Let o be u(-11). Are 2\/51 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 2461*x**7\/210 - 151*x**3\/6 + 2094*x**2. Find the first derivative of f(p) wrt p.\nAnswer: 9844*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(110)*-2)\/(sqrt(10) - sqrt(20)\/(sqrt(2)*2)))**2 - ((sqrt(22) + -4*(sqrt(44)\/sqrt(2) + sqrt(22)))\/sqrt(2) + 4).\nAnswer: 7*sqrt(11) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/7 (b) 0 (c) 22\/7 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*y + 2034, -1342*c = -1341*c + 2*y - 688. What is the greatest common factor of 1426 and c?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-4)*((-46)\/(-6) - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -1\/5*l**5 + 0*l**3 + 0*l**4 + 0*l**2 + 4 + 3*l. Find the first derivative of j(c) wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**3 - 16\/5*u**2 + 2\/5 - 4\/5*u**4 - 3\/5*u = 0. Calculate u.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 402 and 87368.\nAnswer: 262104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(78) + sqrt(78) + sqrt(78)*2 + sqrt(78))*4*6)\/(-1*(-5*sqrt(6) - sqrt(6)) - (sqrt(726) - (sqrt(726)*-1 - sqrt(726)))).\nAnswer: -160*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 94. Let p = 465 - 162. Suppose 13*z - 373 = p. Calculate the remainder when z is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5039*i + 2501*i + 7154 + 2636*i wrt i.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z + 0*z**4 + 0*z**3 + 1\/60*z**5 + 0 + 15*z**2. Let n(a) be the second derivative of 6*a**3 - 4*a. What is n(g(w))?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*a + 21168 = 0, -3*w - 2*a - 693 + 13385 = 0. What is the remainder when w is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*-0.29.\nAnswer: 0.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + -1 - 0) + -2. Let z = p - -19. What is the remainder when 44 + z\/6*2 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 955, 1920, 3033, 4366, 5991, 7980?\nAnswer: 10405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -213440 (base 5) in base 7?\nAnswer: -30326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**3\/3 + y**2\/2 - y - 1. Let g(t) = 2*t - 2. Let m be (3\/(-9))\/((-2)\/12). Give m*j(q) - g(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.339*0.0473313.\nAnswer: -0.0160453107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 43311?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 1)*(6*z + z - 4*z) + 3*z - 4*z + 3*z)*(20 - 20 + 17*z) to m*z**2 + g + r*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5288206 - -3067506. Suppose -3*h = -8*h + 45603500. Let c = h + n. Round c to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 7180*k + 7182.\nAnswer: -2*(k - 3591)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 10*k**2 - k - 11. Let w be l(8). Suppose 4*d + 0*d = 1184. Let v = d + w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32152426 to the power of 1\/2, to the nearest integer?\nAnswer: 5670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 140069 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3)\/(6\/90). Suppose 0*j + 45 = s*j. Suppose 36 = 4*v - 4*b, 4*v - 11*b + 10*b = 36. Is v bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/1 + (-2)\/(-9). Let x = -0.04 - 0.27. Let l = x - -0.01. Which is the nearest to 0? (a) n (b) -3\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81321713 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: Suppose 64 = -53*f - 95. Let p = -16.7 + 16. Let v = -0.3 + p. What is the second biggest value in v, -2\/9, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4*y + 39660*x**4 + 3*x**3*y**2 - 83*x**2*y - 276*x*y**2 wrt x?\nAnswer: -24*x*y + 951840*x + 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 - q**2 - q. Let d be y(-1). Solve 0 = d*j - 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53 - 293?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k*((k**4\/k)\/k)\/k)\/k)))\/(k\/k**(-10)))**(-2\/3) assuming k is positive.\nAnswer: k**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/2? (a) -96.8 (b) -1\/20 (c) -2 (d) 5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 463, 429, 391, 349, 303?\n\"Answer: -2*b**2 - 28*b + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1402 - 5?\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*a - 3788 - 27187, -2*c = 2*a - 20650. List the prime factors of a.\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from uuiupuuupuvuiivuuiuu?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.7 (b) 30 (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 7*q = 21. Solve -5*k - q - 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/18 <= 41\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -0.37?\nAnswer: -5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**3 + 5*r + 5. What is u(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 18. Solve 5*v + s = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/65976 + -1368991\/725736. Let w(b) = -b**3 - 3*b**2 + 13*b + 9. Let a be w(10). What is the common denominator of (a\/1080)\/(8\/10) and v?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l + 79. Let o be p(-11). Suppose 103 + 124 = 5*u - o*k, -4*k + 86 = 2*u. Calculate the remainder when u is divided by -6*((-2)\/3 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/29? (a) 3 (b) -2 (c) 13704 (d) 1 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*9*(-2)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*h - 42*h - 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*v + 3 + (-1 + 1 + 2*v)*(1 - 4 + 1))*((v - 1 + 1)*(-1 + 1 - v) + 903519 - 903519 + 371*v**2) to d*v**2 + q*v**3 + w*v + i and give q.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 440 = -32. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -677205*s*w**3 + 10*s + 12861 wrt w.\nAnswer: -2031615*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2\/6 - 29*v\/6 = 0?\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*h**4 + 36*f*h**3 + 4*f*h - 6*f - 17 wrt h.\nAnswer: -4*f*h**3 + 108*f*h**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 4. Let w be r(4). Suppose w*q - 4*q = -8. Let i(g) be the third derivative of -g**5\/60 + g**4\/12 - g**3\/2 - g**2. Give i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195004524 and 627.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 6*m - 37. Let o be y(19). Suppose 0 = -176*p + 181*p - o. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2413256785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.92 + -0.08. Let l = 82.4 - 75. Let i = l + n. Which is the closest to 0.1? (a) 1 (b) -2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -180*k - 61*k**3 + 18 + 41*k**3 - 85*k**3 - 305*k**2. Let p(c) = 525*c**3 + 1525*c**2 + 900*c - 89. Let x(r) = 2*p(r) + 11*u(r). Factor x(a).\nAnswer: -5*(a + 1)*(a + 2)*(21*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*x - 21, -p + 22 = -3*x. Solve 0 = -p*a + 13*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*x - 13883 + 3807. Let v = 245 - x. Solve -13*h + v*h + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -42. Suppose n*g = -3*d + 2*d + 18, -5*d - 10 = -5*g. Let p = 8 + d. Which is smaller: p or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from quazqjzajjjabzb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*s - s - 228 = 0, 3*y + s = -164. Let b = y - -60. Let z be (-28)\/5*(-4 + -1). Calculate the greatest common factor of z and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 2*d - 4. Let k be x(-3). Let h be 242\/10 + (-4)\/k. Let i = h + 17. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**4 - 193 - l + 2*l**4 - 3*l**2 + 197 as b*l**3 + g*l**2 + s + i*l**4 + x*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5 + -10225812.\nAnswer: -10225809.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-2868)\/12 + (-4)\/(-1). What is the highest common divisor of 27 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + g + 2. Let v(b) = -490*b**4 + 4*b**3 + 17*b + 5. Let h(u) = 2*i(u) - v(u). What is the second derivative of h(o) wrt o?\nAnswer: 5880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*h + 8250003 = 0, -5*w + 0*w - h - 8249999 = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 9:39 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f**2 - 107*f - 373. Let p(s) = 10*s**2 + 110*s + 376. Let c(m) = 6*p(m) + 5*q(m). Find the first derivative of c(w) wrt w.\nAnswer: 10*w + 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053 + 1049 + 1046 - 3*b - 4203 + 1055.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 1, -0.5, -29\/52?\nAnswer: -29\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*p + 4*a + 4, -5*a = -p + 5. Solve s - g + 24 = 3*g, p = 5*s - 5*g + 45 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 17. Let q be (-1405)\/(9\/y*(-6)\/(-4000)). What is q rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**3 + 2*m**2 + 3*m + 4. Let w(a) = 61*a**3 - 57*a**3 - 2*a**2 - 3 - 2*a + a**2. Calculate -3*v(s) - 4*w(s).\nAnswer: -s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525 + 0*p**2 + 525 - 5*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2062734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246 + 7*s + 246)*(-46*s**3 - 8*s**3 + 10*s**3 - 5*s**3).\nAnswer: -343*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2*n + 4, -2*i - 2*i = 2*n + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**3 + 8*i**2 + i + 10. Let b be d(6). What is the units digit of (2 + b)*(-48)\/(-72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91800 divided by 4.\nAnswer: 22950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555*-790351.\nAnswer: 438644805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:30 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.5, 27, 2\/5, -19, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/1100)\/(2*(-2)\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1. Let g(j) = -26*j**2 + 145*j - 105. Let d(h) = -g(h) + 4*i(h). Let b(u) = 5*u**2 - 29*u + 20. Let o(y) = 11*b(y) - 2*d(y). What is w in o(w) = 0?\nAnswer: 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2) + 10 + 1 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*p**2 - 232*p**2 + 64*p**2 + 38*p**2 + 58*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5 = 2*j - 69, 0 = 2*j + 5*b - 96. Let o be (4\/(-6)*-3)\/((-87)\/(-11571)). Calculate the greatest common divisor of o and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*80\/50 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.351 times 0.3?\nAnswer: 0.1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 19 - 8*y - 4*y**4 + 3*y**4 + (-47*y**2 + 6*y**3 + 47*y**2)*(9*y - y + 3*y).\nAnswer: 65*y**4 - 8*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 15 - 69. Let f = 19 + w. Let g be f*4 + (2 - 6). Solve g = 2*p, 2*o + 4*p + 2 = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47826750 divided by -14830.\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Let w = 1.8 + -1.5. Let o = 611 + -612. Put o, y, -6, w in descending order.\nAnswer: y, w, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 11*s**2 + 12*s**2 - 9*s**2 - 3 + 3.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(704))**2 + 2 + 2.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**7\/140 - 17*j**4\/12 - 32*j**3\/3 - 26. Let r(d) be the third derivative of b(d). Find the first derivative of r(o) wrt o.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**6\/45 + 2482*j**5\/15 - 1025893*j**4\/3 - 12325612*j**3\/9 - 6165289*j**2\/3 + 132*j. Determine y so that t(y) = 0.\nAnswer: -1, 2483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 5*r - 5*r)*(-2*r**2 - 2*r**2 + 6*r**2 + (0 + 0 + 2*r)*(-4 + 2 - 6)*(4*r + 2*r - 5*r)).\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1. Let i be 10 - 16 - 8\/(-2). Let w(m) = -5*m**2 - 12*m + 1. Let v(a) = i*w(a) - 10*g(a). Let v(l) = 0. What is l?\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1297\/10 - -6733\/52. What is the common denominator of t and 49\/15?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 39 + -1 + -2892 + 2866.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 84. Let n = o + -24. Suppose 3*s + 60 = w, -134 = -3*w - 4*s + 7. What is the remainder when w is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 15 - 12)*(-44)\/(-32).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 25. Let z be c(9). What is the third derivative of 38*m**2 - 22*m**2 - 57*m**4 - 44*m**z wrt m?\nAnswer: -1368*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*u + 10 = 2*q, -2*u + 35 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.9, -2, -0.13, -0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 6*f**3\/7 - 424262*f**2\/7 - 282844*f\/7 = 0?\nAnswer: -2\/3, 0, 70711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 216 and -2137011.\nAnswer: -2136795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*x - 199*x - 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-7)\/(-28))\/((-48)\/96).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691548 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1636 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-1)\/(-45)*39\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69.2 + 70.2. Which is the closest to 0.1? (a) 0 (b) -2\/5 (c) q (d) 23\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1157*k + 14. Let h(x) = 2327*x + 23. Give 3*h(o) - 5*q(o).\nAnswer: 1196*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 3 - (0 - -2). Is ((-2)\/f)\/((-3)\/(-99)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 25 - 43 = 0. Solve -j = 4*g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ono when three letters picked without replacement from ocoooccn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - 9 + 9 + 2*n**2 + 2*n**3 - 3*n to the form x*n**4 + v*n**3 + d*n + l + y*n**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (9 - -6) + 1 + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*k**3 - i**3 + 43*i**2*k - 17*i*k**3 - i*k**2 + 2*i*k wrt k?\nAnswer: 6*i**3*k - 102*i*k - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.37 - -0.07. Let w = 44149 - 44150. Which is the closest to 1\/2? (a) j (b) w (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2647*q - 155484. Calculate h(59).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 15 - 2*k + 24 - 13*k**4 - 2 + 2 - k**4 + (1 - 2 + 0)*(0*k**4 - 3*k**4 + k**4) - 1 + 1 + k**4.\nAnswer: -11*k**4 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 5. Suppose 2*i + 10 = 0, -5*i + 4*i = 2*j + 13. Let r be -4*(0 - (-2)\/j). Let c be r\/(-6) + (-55)\/15. Determine v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2)\/12*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/7))**(-8)\/((k\/((k\/(k*(k\/(k*k\/((k\/k**3)\/k))*k)\/k))\/k))\/k)**(-13\/6) assuming k is positive.\nAnswer: k**(-219\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 19*b**2 + 6*b + 34. What is the units digit of n(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(-3*(-3)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241\/176 - -19\/16. Let q = -13 + 18. Which is the closest to -2\/5? (a) i (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*u - 3411 - 1534 = -483*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8265 and 453009.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.29 - 4. Let u = f - -0.7. Let w = u + -0.195. Round w to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 6 + (0 + 0 - 2)*(5 - 12 - 5)*(8 + 4 - 1))*(-3 - 11*x + 3)*(-3 + x + 3) to the form r*x**2 + a*x + y and give r.\nAnswer: -2893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -23*r**2. Let y(h) = -2300*h**2. Give 598*k(w) - 6*y(w).\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -12 + 13 - 4. Suppose 5*p - 10 = -0. Find the first derivative of 1 - 64*w**g + 64*w**3 + 41*w**4 + p wrt w.\nAnswer: 164*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1291 or 449245\/348?\nAnswer: 449245\/348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.07, -1\/4, 208 in descending order.\nAnswer: 208, 0.07, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 4*l + 13, w - 6 = -l - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.709 - -9.709. Which is the nearest to j? (a) -0.1 (b) -3 (c) 411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3710, -7336, -10968, -14606?\nAnswer: -18250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5045446 divided by -12677?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-25 - (-37 + 24))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57.960168*0.4\nAnswer: -23.1840672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -403 - -403.2. What is the third biggest value in -0.41, u, -0.4?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11015, -223, -40.\nAnswer: -223, -40, 11015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 1040 = -128*o + 12*o. Solve -8 = -3*f - 3*b + o*b, 4*b = 4*f - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 1443, 5046, 12201, 24126, 42039, 67158, 100701?\nAnswer: 143886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -56440\/9403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 238, 4, -3\/107, 941 in descending order.\nAnswer: 941, 238, 4, -3\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + -146.063. Let k = -0.137 + g. Is -5 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 29*v - 1\/2*v**2 - 52 + 43\/3*v**3. Find the first derivative of z(a) wrt a.\nAnswer: 86*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3898764 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one fifths of a decade?\nAnswer: 1704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2*-2)\/((-44)\/(-693)*(-918)\/(-2244))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**24)\/t)**49\/(t\/t**(-5\/3)*t*t\/t**(-15)*t) assuming t is positive.\nAnswer: t**(3466\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49863 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295925.\nAnswer: 5, 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 11. Let r be 0 - 2\/(k + 4). Let s be (7 - 3)*1 + r. Let d(j) = -2*j**3 + j**2 + 2*j. Determine d(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*m + 21, 7*x + 52 = -3*m + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*y - 80, 5*m = -289*y + 291*y - 52. Solve -5*j + 5 = 0, 24*a - 5*j + y = 28*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 41*z. Let n(f) = -f**2 + 2*f - 2. Let m(q) = -6*q + 10*q + 7*q - 566*q**2 + 560*q**2 - 11. Let t(w) = -4*m(w) + 22*n(w). Determine j(t(r)).\nAnswer: 82*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1624 + 980 = 6*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 256 + 2*l + 261 - 532. Calculate w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**3 - 17*w**2 - 6*w + 18. Let b be k(-5). What is the highest common divisor of 82 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188\/47*(-1)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 789.00000121 - 789. What is o rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 6*x - 16. Let u be t(6). Let n be (14\/4)\/(((-100)\/u)\/(-5)). Which is greater: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y**2. Let u(t) = -4*t. Give u(w(p)).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 + 0)*(-3 + 10 + 9) + (0 + 0 - 2)*(-1 + 0 + 4))*(-10*s + 5*s + 0*s) to the form q + d*s and give d.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260 - 80. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18622173040 rounded to the nearest 1000000?\nAnswer: -18622000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**7\/5040 + l**6\/720 + l**5\/30 - 2*l**2. Let x(k) be the third derivative of f(k). Is x(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -261, -595, -1075, -1707, -2497, -3451, -4575?\nAnswer: -5875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 726121 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 136 = -2*l, -r + 48 = 10*l - 14*l. Differentiate 141 - 40*i**4 - r - 17*i**4 - 13*i**4 with respect to i.\nAnswer: -280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10218717*w**2. Let v(l) = -l**2. What is v(i(m))?\nAnswer: -104422177126089*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + 64. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiilbbubuqilpubpqu. What is prob of picking 1 b and 1 u?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -3 - -21) + -9 - ((20 - -65) + 13).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -111878000 to the nearest one hundred thousand.\nAnswer: -111900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + (-10)\/(-2) - (-20 + -1563)?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h - 2*h)*(-2 - 3*h**4 + 2) + 0*h**2 - h**5 + 0*h**2 - 7*h**5 - 20 + 20.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -66630245 rounded to the nearest 100000?\nAnswer: -66600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707 is divided by 343?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8) + 0 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -29. Suppose -j*n + 736 = -0*n - 2*y, -2*n = -2*y - 298. Suppose 2*d = -2*d + 148. What is the remainder when n is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*q = -3*w - 337 + 780 - 127, -270 = -3*w - 42*q for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3 - 10 - 52*i**2 + 3*i + 109*i**2 + 4 - 56*i**2. Suppose 5*h + 6 = 2*x - 3*x, -2*x = -5*h + 12. Calculate a(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (647\/(-65) + 8 + (-288)\/40)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.716 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -76 (c) -2 (d) 0 (e) -52\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106410351 - -5?\nAnswer: -106410343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2839.5 rounded to the nearest 10?\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.2 and 0.4.\nAnswer: -5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 317 - 1224?\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 - 7*k**2 + 2*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/(k\/(k**(-6\/7)\/k)) assuming k is positive.\nAnswer: k**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, -0.14, -4\/3, 33?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:56 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 12*x + 10. Let n(j) = -j**2 - 6*j + 5. Let v(l) = -7*n(l) + 3*y(l). Let c be v(-8). Solve -5 - c = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-608103)\/30 - 1\/4. Let s = -44585 + 24319. Let u = n - s. Calculate the common denominator of 53\/2 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**4 + 155*r**3 - 515*r**2 - 675*r = 0?\nAnswer: -1, 0, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.4, -5, -9, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 9 + 4 + 6 + 6 + -9 + -74\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2333*v**2 + 95*v - 28. Let h(c) = 3499*c**2 - 145*c + 41. Let x(g) = 5*h(g) + 8*p(g). What is the second derivative of x(w) wrt w?\nAnswer: -2338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 63094*p\/7.\nAnswer: 2*p*(p - 31547)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - h - 6 = 0, -h - 13 = -n + 3*h. Let d = -32 - -50. Let v = d - n. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 2*n**3 + 0*n**3 + (-n**2 - n**2 + 3*n**2)*(-4*n + 2*n + 3*n) - 2*n**3 + 4*n**3 - 4*n**3 - 6*n**3 - n + n)*(-6 + 6 + 7*n).\nAnswer: -42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12481 + 2a55?\nAnswer: 15426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1171*n + 1172*n = 16. Suppose 3*s + o = 2305, 11*o - n*o = -3*s + 2335. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393296 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 441*y + 46*y + 229*y - 1432. Find i such that 1\/2*i**2 - y*i + 2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**5\/5 + 732*r**4\/5 - 21208*r**3\/5 + 147108*r**2\/5 - 25326*r = 0.\nAnswer: 0, 1, 9, 21, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {e: 6, t: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.081 - -3.081. Sort 68, -4, g in descending order.\nAnswer: 68, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*r - 24 = 22, -5*i - 3*r - 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -37*g + 43*g. Let z(i) = 12*i**3 - 4*i**2 - 11*i - 38. Is z(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/1)\/((-54)\/1070208*8) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315890 and 3430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from uusuusususus?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s - 136. Let y be q(-14). Sort 98, y, 2 in decreasing order.\nAnswer: 98, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*i - 43 = 0, 24*i = -8*w + 17*i + 12*i + 73 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8044178761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 4*c - 7. Let z be p(6). Suppose 4*y + y = z. Is 5\/4 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2544*x - 44 = -3*l + 2540*x, 2*x - 28 = -2*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u. Suppose 2*a - 4*a + 6 = u. Solve -2*s - 3 = 5*z, z = -a*z + s + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -431, 1.8, -17, 1\/3, -0.4, -0.1, -0.2?\nAnswer: -431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 9832*a + 2910300.\nAnswer: -4*(a - 267)*(a + 2725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57 + 51\/2*h - 3\/2*h**2.\nAnswer: -3*(h - 19)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.205 less than -0.4?\nAnswer: 25.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -6, -35, -90, -177, -302, -471, -690?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2 = 2*i. Let p be 2 - (-3 + 2)\/i. Suppose -3*v + 27 = 3*l, -5 - 27 = -4*v - p*l. Solve -3*n + 17 = -v*m, 0*n + 7 = -2*m + n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 26*j**2 + 70*j + 78. Let l be p(-24). Let o be l\/125*(-10)\/8. Solve 0 + 3\/2*m**5 - 3*m + 3\/2*m**3 + o*m**2 - 9\/2*m**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601090069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1850, 4526, 8078, 12506, 17810, 23990, 31046?\nAnswer: 38978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -5.\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1470\/(-3773))\/(((-3 - -14) + -9)*6\/(-28))\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5*u**2 + 9*u - 25. Let q be g(6). Let z(r) = 9*r - 9. Suppose -11*k = -10 - 34. Let l(x) = 5*x - 5. Determine k*z(m) + q*l(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*q**3 + q**4 + 50*q**3 + 4 - q to the form w*q**2 + k*q + g + m*q**4 + c*q**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 3 + -5 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 51*z - 203. Let s be o(-5). Which is the smallest value? (a) 0.1 (b) -7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1043, -1045, -1045, -1043, -1039?\n\"Answer: q**2 - 5*q - 1039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -233*b**4\/4 - 2*b**3\/3 + 316*b + 278. Differentiate s(y) with respect to y.\nAnswer: -699*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482 divided by 9.\nAnswer: 482\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0774 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 44*v**2 - 142*v - 10. Give l(-47).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by -523?\nAnswer: -123\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 - 0.19. Suppose 0 = o + 4*o + 15. Let v be o\/10 + (-12)\/(-60). Put v, -0.7, m in ascending order.\nAnswer: -0.7, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1709 + -210. Let d = -1476.06 + s. Let p = -23 + d. Put 1\/5, 2\/7, p in descending order.\nAnswer: 2\/7, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 4*a**5 + 3 + 4 + 0*a**2 - 5*a**5 + 3*a**2. What is the second derivative of d(u) wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-11856)\/(-171))*-8.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -515 (base 6) to base 15\nAnswer: -cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**3 - d**2 - d. Let v be o(-1). Let z = 25 - 26. Which is the third biggest value? (a) z (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/43? (a) 0.1 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104cd (base 14) in base 5?\nAnswer: 2230011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agagaggaag. What is prob of picking 2 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.2. Let o = f + 0.1. Let x = 0.395 - o. What is x rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + i - 6, -3*i - 6 = -t + 2. Let p(h) = h**2 + h**t - 5*h**2. Let m(d) = 4*d. What is p(m(k))?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 1. Let o be ((-18)\/12)\/((54\/8)\/(-9)). Which is the second biggest value? (a) 3 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 359565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9150083 and 11?\nAnswer: 100650913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 50 - 15 = 2*i, 4*i + 2*u - 30 = 0. Let w(q) = 13*q - 12. Is w(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 484273683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = r + 43 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 0.18. Let n = 16 - 18. Let m be 50\/(-33) - n\/11. Which is the biggest value? (a) -1\/4 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592) - (sqrt(2592) + -1 + sqrt(2592)))*-4 + -4 - (2*sqrt(2592) + 5)*-2)**2 + -1.\nAnswer: 1152*sqrt(2) + 165891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/7? (a) -0.21 (b) 1\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -61659*w**2 + 5*w + 14. Let g(p) = -61661*p**2 + 4*p + 15. Let k(a) = -4*g(a) + 3*r(a). Let j be k(-6). Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**20)\/y**5*(y**(4\/3)*y)\/y**(4\/5) assuming y is positive.\nAnswer: y**(-322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1467 plus 0.11?\nAnswer: -1466.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) + -1 + sqrt(12)*1*-3)**2 + (2 + sqrt(363)*-2 - (sqrt(363) + ((6*sqrt(363)*1 - sqrt(363))**2 - sqrt(363)))) + -5.\nAnswer: -9029 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/14 + 1\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574.1 > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3675 and 48412?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 245594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 45*q**2 + 6*q + 936.\nAnswer: 3*(q - 13)*(q - 6)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -138, -4 in descending order.\nAnswer: 5, 0.5, -4, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 - -975\/7. Let w be 2922\/30*(-25)\/15. Let m = 164 + w. What is the closest to 0 in s, 3, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 5 (b) 99.19 (c) -1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*j + 23969 - 27453 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563983 is divided by 2400?\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/4 + 13*l**3\/3 + 9*l**2 - 40*l + 107. Let g be o(-11). Solve -4*r = -g*i, 3*i + i + 1 = 5*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {o: 2, v: 4, w: 2, m: 5, i: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1331 - 1331.3. Let m be (5\/(-15))\/((-4)\/(-3)). What is the nearest to -7 in w, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/135)\/((1\/3)\/1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-417)\/1251)\/(((-85)\/(-150))\/17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-35)*15\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18552*a = -18554*a + 74 + 172. Calculate the highest common divisor of a and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - s + 28*s**2 - s.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 10*t + 11. Let p be o(9). Suppose -i - 6*x + 93 = -2*x, -4*i + 330 = p*x. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -629*b**4 - 642*b**2.\nAnswer: -15096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -19. Let s = -10 - w. Are s and 1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71222450 and 1235?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -h, 9*z - 8*z + 47 - 37 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27563.09us?\nAnswer: 27563090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8921471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*l - 29. Let t(a) = -1 - l*a + 0 + 0. What are the prime factors of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 8*m + 16. Let c be t(-2). Sort -253, 2, c, 3 in descending order.\nAnswer: 3, 2, c, -253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g + 40. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4 + (-30)\/5) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -346.\nAnswer: -177\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142683172 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-48))\/(-1*(-1)\/(-2))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 74 = 10. Let s = n - -135. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545079.6m to centimeters.\nAnswer: 54507960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 43 + 5338*p**2 - 5341*p**2 to the form d*p**2 + z*p + x and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*o**2*q - o*q + 5*q + 1 wrt o?\nAnswer: -390*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44467 and 22949.\nAnswer: 19254211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d**(1\/7))**(7\/3) assuming d is positive.\nAnswer: d**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7811 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43\/2, 2\/5, -4\/7.\nAnswer: -4\/7, 2\/5, 43\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.002 + -0.402. What is the third biggest value in j, 1, 2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 5)*(-2 - 1 + 1) + 1 + 0 - 2 - 3 - 1 + 6)*(17*r + 311 - 311).\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32760 by -5.\nAnswer: -6552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p + 632 = -21*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1301.51057167 + -1301.51. What is k rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1139, 1142, 1145, 1148, 1151, 1154?\n\"Answer: 3*n + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = 2*l. Suppose -2*i - 3*i + h = -21, 0 = -5*i - h + 19. List the prime factors of 1 + l - (-15 + i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a + 99. Determine b(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 16*b**2 - 7*b + 22. Let f(o) = 2*o + 24. Let d be f(-20). What is the hundreds digit of y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424900 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 21504 - 3306. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/330*-12)\/((-11944)\/(-920) - 13)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, 0.13, 0.9 in descending order.\nAnswer: 5, 0.9, 0.4, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*14\/(-42)*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-10 - (-9 + 10 + 5 + -1)) + 77.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26998.614 months to millennia.\nAnswer: 2.2498845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 39 + 3. Let p = s - -38. Suppose 8*y = -8 + p. Solve y*v - 2 = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7286931\/(-15) - (-4)\/10. Let u = h - 3932631. Let d = 2738426 + u. What is d rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -16*x - 1. Let q be w(1). Is (-5474)\/q - (0 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -23*g**6\/120 - g**4\/24 - 539*g**3\/6 + 2*g**2 + 362. Find the first derivative of r(n) wrt n.\nAnswer: -69*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 12857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -2\/11 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14853 less than 14692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**2 - 128*u + 124 = 0?\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 7\/6 (c) 4.2 (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = -3*x, 4*x + 1 = 3*c - 3. Let w be x*(-1 + (4 - 3)). Solve w = 4*i - 2*k - 10, -2*k = -4*i - 3*k - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 5007.\nAnswer: 45063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-5) + (-14)\/35\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3441 + -3449. Which is the second biggest value? (a) 3\/5 (b) 10 (c) y (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29053657160 to the nearest one million.\nAnswer: 29054000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**2 - c**4 + 13*c**2 - 16*c**4 + 2*c**2 wrt c.\nAnswer: -408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(-3)\/(-12)*-2. Suppose -n + 4*n + 9 = k*j, -2*j - 5*n = -41. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 6. Suppose 0*h + 3*g = -2*h + 15, 4*h - 4*g = 0. Let r = -43 - -57. Solve u + i = -z, -r = h*u + 2*z - 4*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(sqrt(125) + 0))**2*-2.\nAnswer: -9001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + 215. Round f to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h + 15 = 0. Let n(m) = m**2 - 8. Let b be n(h). Let g(z) = b*z + 4 - 5*z - 11*z + 4. Let d(o) = 2*o**2. Determine d(g(t)).\nAnswer: 2*t**2 + 32*t + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:29 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 26. List the prime factors of x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 93, 3\/4, 7, -1\/7 in decreasing order.\nAnswer: 93, 7, 3\/4, 2\/11, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8931401*j**4 - 9434449*j**2 wrt j?\nAnswer: -214353624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l - 5*g + 9 = 0, 5*l - 5*g = 0. Let s = -364 + 364. Which is the nearest to s? (a) 4 (b) l (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 12) to base 15\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 380*p**2 + 3*p - 1630. Give o(380).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 11*j - 76. Let m be a(6). Suppose -102 = -40*y + m. Solve 5*o - 4*p - p = 0, 20 = y*o + 5*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -32, -2, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 3*x + 2. Let n be b(2). Suppose 4*u - 136 = -2*s, -6*u + 176 = -u + n*s. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1956732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 96 = -2*s, 0 = -s - 5*m + 26 + 58. Calculate the remainder when 211 - (0 + 0\/(-2)) is divided by s.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 2\/5 (c) -1 (d) 1\/8 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1993 - 807. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3)**5)**(-2\/31) assuming z is positive.\nAnswer: z**(-40\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqk when three letters picked without replacement from {i: 3, k: 7, y: 3, q: 2}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -m - 62, 2*m = -0*m + 3*y - 80. Let u = m + 41. Let l(q) = 2*q**3 + 11*q**2 + 2*q - 4. Calculate the remainder when l(u) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.9 + 14. Let n = 5 + -5. Which is the nearest to n? (a) j (b) -0.3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 30 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19127040 and 200833920?\nAnswer: 401667840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 309\/12 + (-1)\/(-4). Let w be (-2 + -3)*192\/(-10). Suppose -5*j = t - w. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbbbbbbbibbbbbbbibb.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -955, -3781, -8491, -15085?\n\"Answer: -942*b**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2 - 98*d + 48 = 0.\nAnswer: 1\/2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -85. Suppose -10*i = -g*i. Sort -5, -4, i, -2 in increasing order.\nAnswer: -5, -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/15 + 5 - (0 + -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42811*u**2 + 50809.\nAnswer: -85622*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from wwwjjjjwjwjjww?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29311 + 29311.36317. Let n = 0.3407 - r. Round n to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:04 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31+98.1\nAnswer: 67.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 f when four letters picked without replacement from fexeefefffxfeefe.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -95*s + 49*s. Solve -7 = -5*q + 2*i - 5, -s*i = -4*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 40, -4 in decreasing order.\nAnswer: 40, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 292*d + 41. What is the tens digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/9)\/(((-40)\/6)\/(-5)). Let f be (0 + -1)\/(-6 - (-32)\/3). Let y = b + f. Are y and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13)*2*-3 + (sqrt(325) - 2*sqrt(325)) + -2)**2.\nAnswer: 44*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57, 14, 135, 306, 527?\n\"Answer: 25*t**2 - 4*t - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24305 + 47070. Suppose 5*x - d = 2*q, 0*x - 4*q + 13685 = 3*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.155 + 6.845. Let y be (-3 + -9)*(28\/(-16))\/7. Which is the third smallest value? (a) v (b) 1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17738, 36372, 55006?\n\"Answer: 18634*i - 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/15 + -2)\/((-21)\/(-105)). Solve i = 4*l + o, -4*l = -2*l - 3*o - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) -1393 (c) -0.5 (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -0. Let q be (-3 + (-8)\/(-3))*d. What is the smallest value in q, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6)**32*(o\/(o\/o**(1\/4)))\/(o**(-6\/5)*o))**(7\/8) assuming o is positive.\nAnswer: o**(26943\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-244)\/30)\/1 - (-10 + 1 + 1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7101)\/(-81) + 4\/3. Find the first derivative of 2*u**2 - x*u + 315 + 444 + 478 - 1550 + 15*u wrt u.\nAnswer: 4*u - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (112 - 112 + 23*p)*((-2 + 2 + p)*(-3*p**2 + 4 - 4) - 18*p**3 - 39*p**3 + 28*p**3) to the form a*p + d*p**2 + h*p**3 + c*p**4 + r and give c.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 445, 603, 907, 1405, 2145, 3175?\nAnswer: 4543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 7*m**2 - 3*m + 3. Let g be b(-7). Let n be 0 + -2 - g\/(-6). Let h(v) = -v - v + v + n*v. Let j(f) = 2*f. Determine j(h(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-12)*x*x)**(-44)\/(x\/(x**3*x))**(-35) assuming x is positive.\nAnswer: x**247","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -119.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:48 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*p = 125, -4 = p + p. List the prime factors of 3963\/6*2 - (t - 29).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -57*o**2 + 4*o - 2. Let t be b(2). Let h = t - -334. Is h a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*u - 26*u - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.6 or 541.4?\nAnswer: 541.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 11 + 0 + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**6\/6 - q**5\/4 + 5*q**4\/12 + 5*q**3\/6 - 2*q + 10. Factor z(k).\nAnswer: -5*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-3)\/30*2). Let d = -42 - -40. Let b be (-21 + -4)\/y - d. Let a(q) = -q**3 - 5*q**2 - 5*q - 4. Determine a(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 1 - (2 - 1). Suppose 8 = n + w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 4*j + 2. Let m(u) = -4*u**2 - 17*u + 9. Let c(b) = -18*g(b) + 4*m(b). Let y(w) = w**3 - 5*w**2 + w + 9. Let f be y(4). Calculate c(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*((sqrt(300) - 2*sqrt(300) - sqrt(300)) + sqrt(300) + 3) + 4).\nAnswer: -360*sqrt(3) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 8*o + 1. Let g(m) = -2*m**2 - 34*m - 24. Let n be g(-16). Calculate d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 7*l**5\/8 + 17621*l**4\/8 + 1269353*l**3\/8 - 14455258637*l**2\/8 - 8261583321*l\/2 - 2065439727\/2 = 0?\nAnswer: -1641, -2, -2\/7, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(1\/22)*(a**(2\/5)\/a)**(-3\/34) assuming a is positive.\nAnswer: a**(863\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j**3. Let s(k) = k**3 + 9*k**2 + k + 10. Let n be s(-9). Let y be f(n). Let z be (525\/y)\/((-1)\/112). What is z rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18 from 153505532.\nAnswer: 153505550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 128870*t - 18190551.\nAnswer: (t - 141)*(t + 129011)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + -7 + 4 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 25 + 22*h**2 - h**3 - 6*h - 14*h**2. Let l be m(11). Let x = -10 + 9.5. Which is the third smallest value? (a) l (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 10*x - 9. Let t(n) = 2*n**2 - 2*n + 2. Let a be t(2). Let j be l(a). Let d = -7 + j. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -1.6 (c) -14\/5 (d) 5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 35*x = -30*x + 10, 8 = -4*h - 4*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*q - 9*x + 4*x, 0 = -4*q + 5*x + 20. Solve -d - 4*k + 6 = -3*k, 5*d - 5*k + 20 = q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:14 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1658 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -45, -61, -71, -75?\n\"Answer: 3*r**2 - 31*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, b: 2}. What is prob of picking 1 b and 1 y?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 25*s**2 - 2562*s + 18901. What is c(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-78)\/4 - 2)*-2. Suppose y = 5*c - 137. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -282 + 601. Let b be ((-4)\/(-24) - 26\/12) + (45 - 14). What is the greatest common factor of b and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4372 and -137\/24?\nAnswer: 26232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/11 (b) 3 (c) -0.5 (d) -1\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 smaller than 742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s**4 - 236*s**3 - 606*s**2 - 464*s - 104 = 0. What is s?\nAnswer: -1, -2\/5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 1. Let j(n) be the second derivative of n**3\/6 - 2*n**2 + 12*n - 2. Calculate -6*f(b) + j(b).\nAnswer: -5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 6 + -1 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y**0*y*y))*y))\/y*y\/(y*y\/y**(-1\/4))*y)\/(y**(-1\/2)*y**3)*((y*y**(-1\/7))\/y**(-4))**(-44) assuming y is positive.\nAnswer: y**(-6173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -15. Calculate the smallest common multiple of 1 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*z**3 + d**3*z**2 - 2*d**2 - 4*d*z**4 + 185*d*z**3 + 1150*d*z**2 wrt z.\nAnswer: 12*d**3 - 96*d*z + 1110*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 4, p: 2}. Give prob of sequence ccm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**4\/24 - r**3\/6 - 14*r**2. Let l(z) = -7*z - 26. Let u(c) = 4*h(c) - l(c). What is the first derivative of u(n) wrt n?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-2*u - 1 + 1) + u + 0 + 0 - 2*u - 4*u + 3*u)*(0 + 0 - 1).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4 + 38*q**3 - 396*q**2 + 648*q = 0?\nAnswer: 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -29. Suppose -2*z - 6 = x*f, 10 = 5*z + 3*f + 2*f. Suppose 37 - z = 5*y. Solve 2*j - 7 = d, 3*j + 2*d = y*d + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -644 - 1069. Is (-1 - y\/(-2))*(12 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20048357 * 6\nAnswer: 120290142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*p - 32 = 217*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192371*j*m**2 - 77386*m**2 wrt j?\nAnswer: 192371*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2041 (base 5) to base 9.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.383051 milliseconds in hours?\nAnswer: 0.0000220508475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = w - 3 - 3, 4*g + 2*w + 114775 - 114798 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 140 = 4*v, 0 = 2*v + 2*v - a + 164. Let j be (-1)\/2 + v\/(-56). Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 399, 816, 1217, 1596, 1947, 2264, 2541?\n\"Answer: -r**3 - 2*r**2 + 430*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2987948 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w = 150*w + 2090 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -23*k - 12*k - 41*k. Let y(m) = m. Calculate y(u(i)).\nAnswer: -76*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**4 - o**3\/3 + o**2. What is the first derivative of z(x) wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 7*t**2 - 2*t + 8. Suppose -3*c - 12 = 9. Suppose 142*f = 147*f - 100. Calculate the lowest common multiple of f and v(c).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -220 in -0.05, 0, 3\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 29*o**2 - 15*o + 20. Let d be g(15). What is the first derivative of 600 + d*h + 20*h - 555 + 78*h + 72*h wrt h?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/143 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 13*p + 7 - 7 = 9*p + 8, u - 16 = u - 2*p for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2412 and 794821?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158854 - 1.32.\nAnswer: -158855.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 4 = 0. Suppose 2*t - 34 = -4*q, l = t - q - 7. Find the first derivative of 0*m + 6*m + 14*m + t - 4*m wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550683 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145995064?\nAnswer: 2, 977, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 1 + 1. Let u(k) = -k**2 + 1. Let s(t) = -7*t**2 + 14 - 13*t**2 + 8. Let z(m) = -2*s(m) + 44*u(m). Calculate l(z(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/6 - -3)*42. Suppose 48 = h + v. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 121.7, -0.027, -0.2?\nAnswer: 121.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*b - 115361 = 0, 5*q = 10*q - 5*b + 115360. Let d = 64813 + q. What is d rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1125812, -4503286, -10132410, -18013184, -28145608?\nAnswer: -40529682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75232 divided by 18808.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 14*p - 6. Let o(y) = -5*y + 2. What is 7*o(a) + 2*s(a)?\nAnswer: -7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 53 + 81*m**2 + 22*m**2.\nAnswer: 103*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 - -0.5. Let u = 94.34 + -0.34. Let x = 99 - u. Which is the smallest value? (a) 0.9 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 take away -84?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38632201 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28505 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 - 2*b**2 - 3*b - 2. Let m(g) be the third derivative of -3*g**6\/40 - g**5\/12 - 5*g**4\/24 - 5*g**3\/6 + 8*g**2 + 1. Calculate -2*m(a) + 5*z(a).\nAnswer: -2*a**3 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19259 - 19258.56705. What is j rounded to two decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Suppose 2*b + k = 3*b. Find the second derivative of 2*t - 9*t + b + 11*t**2 - 1 wrt t.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (147 + -140).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154564136627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19370 is divided by 121?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -25. Let j = 29.9999925 - y. What is j rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2 = 2*z - 3, -2*g - 3*z = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1272\/5461 + 9\/43. Which is the closest to 3\/2? (a) -1 (b) h (c) -0.5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 109*c**2 + 2 - c**3 - 47*c**2 - 53*c**2. Let m be p(9). Solve 5*v - m*v - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 4 - 18. Let x = 2 + 7. Let k be ((-12)\/(-9))\/(6\/x). Calculate the highest common factor of r and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2599.\nAnswer: -3\/2599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 35054 (base 13) to base 15\nAnswer: 1d9e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 13052?\nAnswer: 5\/6526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 436478 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 7*o - 21 = 0. Let g(n) = -1 - n**3 - 3*n + 1 + 1 + 5*n**2. Give g(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8*j - 20. Let i be 3*1\/6*28. Does 16 divide s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 + v**2 + 7*v - 6. Let h be g(3). Calculate the common denominator of 59\/4 and (-4235)\/h*(-4)\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*m + 3*m**2 - 572 + 572 + (-2*m - m + m)*(-3 - m + 3) + m**2 - 4*m**2 + 2*m**2 to d*m + b + f*m**2 and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1760, 1759, 1758, 1757, 1756, 1755?\nAnswer: 1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 18*q = 51*q - 184. Solve 5*v - t = 21, 2*v + q*t + 9 = 7*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01937 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*m - 50*m - 31*m - 2*m**3 to the form g*m**2 + h*m**3 + q*m + c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1081 - -1080.8. Which is the third smallest value? (a) 1 (b) y (c) 38\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171423 is divided by 942.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(2736))*-2)**2 + (sqrt(2736) - ((2*sqrt(2736) + sqrt(2736))**2 + 3) - sqrt(2736)) + 4*-2*sqrt(2736).\nAnswer: -96*sqrt(19) + 248973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -301, -530, -745, -940, -1109?\n\"Answer: w**3 + w**2 - 239*w - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2363, -9413, -21127, -37475, -58427?\n\"Answer: 5*m**3 - 2362*m**2 + m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111240005*w**2 + 93518599*w.\nAnswer: -222480010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16767\/2187 - 4\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.2243cm in nanometers?\nAnswer: 4342243000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/918 and 8\/459?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.46 - -13.46. What is the nearest to 0.1 in n, -1, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121 + 231724?\nAnswer: 231845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(605) + sqrt(605) + ((sqrt(605) + 1 - sqrt(605)) + sqrt(605))*-1)*-3)**2.\nAnswer: -594*sqrt(5) + 5526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8504*q + 1768821. Calculate i(-208).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*l**2 + 132*l**2 - 24*l**3 - 3*l**3 + 8 + 5 - 265*l**2.\nAnswer: -27*l**3 + 2*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 8:57 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574100 is divided by 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13641, 13631, 13607, 13563, 13493, 13391, 13251?\n\"Answer: -o**3 - o**2 + 13643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f8 + 10ee1?\nAnswer: 10fd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4413 (base 9) to base 12\nAnswer: 1a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0 + 2*b + 0*b**2 + 1\/12*b**4 + 0*b**3. Let k(g) = 3*g - 3*g + 3*g + 3*g. Calculate j(k(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzsj when four letters picked without replacement from {z: 1, s: 1, n: 1, j: 6}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/36)\/(-21) + (-5)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1159\/5 + 233. What is the third smallest value in 2\/5, 4, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + f**2 - f**2)*(-3 - 3 + 4) + 4*f**2 + 1 + 2 - 3*f**2 - 10*f + 5*f**2 + 10*f.\nAnswer: 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -789.17252?\nAnswer: 785.17252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-77)\/(-6930)*-345?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112 - 11103?\nAnswer: -3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175864\/(-2848) - 558\/(-24).\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-15)*(-395 + -10). Let i = -245 + f. Let k(w) = w**3 + w**2 - 2*w - 1. Give k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 6 + -25 + -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 - 4*k**2 + 3*k + 15. Let m(u) = -u**3 - 2*u**2 - 1. Determine -2*m(z) + x(z).\nAnswer: -2*z**3 + 3*z + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 6*k + 4. Let z be y(4). Suppose -43 - 54 = 19*t + 8 - 10. Sort z, 1, 33, t.\nAnswer: t, z, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 1:26 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11613 - 11613 - 8*s)*(13 + 4 + 10)*(-2 + 5 - 2).\nAnswer: -216*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -24*n**3 - n**2 + 11. Let d(s) = -27*s**3 - 2*s**2 + 10. Give 5*d(q) - 6*g(q).\nAnswer: 9*q**3 - 4*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10393129\/437 - -23783. Let s = 27817\/6118 + m. What is the common denominator of 27\/8 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 38. Put 0.1, -1, m, -2\/7 in decreasing order.\nAnswer: m, 0.1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.82 - 18. Let n = -0.22 + h. Let k be (-13)\/(-11) - (1 + 0). Which is the closest to 0? (a) n (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 7 = 5*b - c, 0 = b - 5*c - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((2660\/(-21))\/5)\/((-4)\/1)*-6\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 0. Sort 0, u, -1.\nAnswer: u, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 0*f - 4*f**3 - f**2 + 6*f to the form x*f**2 + k*f + v*f**3 + o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2322*m - 946 = -2323*m. What are the prime factors of m?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*a**3 + 37*a - 37*a.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3.254587 days?\nAnswer: 0.464941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 176900 divided by 61\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30c26 - -4?\nAnswer: 30c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from wcsiwiceg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1806 divide 72586956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65\/2 - 33. What is the fourth smallest value in 1\/7, p, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -963 * -12378.5.\nAnswer: 11920495.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*n + 312 - 294, 15 = -3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36\/5 (b) 901 (c) -10 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 10*j**2 + 13*j + 16. Determine x(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewzzweeeezzzzveezee. What is prob of sequence ve?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9954907.6 rounded to the nearest 100000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5676 and 15?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i + 35 = -145 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -132281, -264774, -397265, -529754, -662241?\n\"Answer: y**2 - 132496*y + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-240)\/(-18) - (-2)\/(-6). Let k = l + -9. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100290, -401222, -902776, -1604952, -2507750, -3611170?\nAnswer: -4915212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 692040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/19, -2\/11, 0.09?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Suppose 2*d = a*d + 2. Let f(g) be the second derivative of -g**4\/12 - g**3\/2 + g**2\/2 + g. Calculate f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 33*j - 1. Let z be u(4). Let i = z + 107. Let c(l) = -9*l - 4. What is the remainder when c(-5) is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 2. Suppose 6*k = 35*k - 145. Let m(h) = 87*h + 94*h + 86*h - 3 - 261*h. Determine k*b(a) - 3*m(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 933*b - 11202, 841137*b - 841135*b = -3*w + 33 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 30 = -5*v, 3*b + 4*v - 46 + 33 = -30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 4*y - 2. Let f = -67 - -97. Let o be (4\/(-10))\/(2\/f). Determine x(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 + 2*j**2 - 5*j + 4. Let l(x) = -11*x**3 - 5*x**2 + 10*x - 9. Give 4*l(r) + 9*z(r).\nAnswer: r**3 - 2*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (2 - (15 - 9))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/14 + 2\/7. Let s(c) be the second derivative of 1\/12*c**4 + 0*c**3 - r*c**2 + 0 - c. Find the first derivative of s(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 52*y**2 + 63*y + 665. Suppose -3*t - 50 = -v - 2*t, -5*v = -4*t - 246. What is the remainder when n(-53) is divided by v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33b (base 16) to base 15\nAnswer: -3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -284 divided by 2\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/4 + w + 3\/4 = 0. What is w?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 30632*k - 9714860.\nAnswer: 4*(k - 305)*(k + 7963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:05 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24948.32 and -4.\nAnswer: -99793.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -2, 5, 24, 61, 122, 213, 340?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 - 8*i + 14. Let b(z) = 19*z + 2274. Let k be b(-120). Let n(l) = 11*l**2 - 17*l + 28. Calculate k*n(g) + 13*u(g).\nAnswer: -g**2 - 2*g + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877 + 12?\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, a: 3, p: 9, e: 2}. Give prob of sequence appv.\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152 and 3072?\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 29*j + 4. Suppose 4*a - 2*r = -r + 123, -j*a + 120 = -4*r. What is the greatest common factor of a and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4477413 to the nearest integer?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 3*x**2 - 2*x + 1. Let v be k(3). Let l be 360\/1620 + 70\/9. What is the third biggest value in 5, l, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from ivxfq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 123303 (base 6) to base 5\nAnswer: 324002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 38*j**2 + 1193*j - 42096. Calculate i(43).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - -2*sqrt(4400)) + sqrt(44))**2*-2.\nAnswer: -42592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, -0.18, 0.4 in decreasing order.\nAnswer: 11, 0.4, -0.18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = -4*b, -9 = -2*b + 2*l - l. Let u(f) = 2*f**2 + 4*f + 6*f - 3*f + b*f. Let j be u(-8). What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let k(o) be the second derivative of -5*o**3\/2 - 2*o**2 - 35*o. Determine v(k(n)).\nAnswer: -15*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1782663 and -5.7.\nAnswer: 10161179.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*y = 4128, 13*y - 17*y = 5*g - 6872. What is the smallest common multiple of 8 and g?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*z + 757, -4*z + 3*h = z - 751. Let a be (-57)\/z - 307\/(-8). Suppose a = 7*x - 5*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 64*p + 19 + 12)*(-5 + 3 + 0)*(2 - 2 + 1).\nAnswer: 128*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-198)\/18*(-6)\/33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.97 - -1. Let f = -73.864 - -74. Let t = f + -0.536. Sort 1, r, t in increasing order.\nAnswer: t, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 65. Calculate x(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.102 - -33.102. Let x = b + -31.1. What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1721542 + 1721614.0161. Let p = -72 + b. Round p to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 43*r**3 + 44*r - 15*r - 14*r - 16*r to the form l*r + x*r**3 + t*r**2 + z and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9111 + 9954. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5 - 15172*a**4 - 38068352*a**3 - 30834876800*a**2 + 1894921753088*a - 20380225209344 = 0.\nAnswer: -2548, 14, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 17*k - 21*k. Solve -17*b + k*b - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11071692 divided by 18.\nAnswer: 615094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-90)\/3)\/(-3) + -2. Let c be (-218400006)\/(-8) + (-6)\/y. Suppose t = -2*t + c. Round t to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0555 - 42\nAnswer: -41.9445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2545, -2038, -1511, -952, -349, 310, 1037?\nAnswer: 1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 506, 1, -407 in increasing order.\nAnswer: -407, 1, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-371)\/28 - (-57)\/(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(6\/17)*r*r)\/(r\/r**(-3)))**(13\/3) assuming r is positive.\nAnswer: r**(-143\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*q + 22, -m - 3 = q + 4*q. Suppose 0*t = -4*j - t - m, -5*t + 1 = 2*j. What is the units digit of (-2 - -3)\/(j\/4) + 164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 7*w - 6. Let x be g(-6). Suppose -o - 2*r = -x*r - 31, o = -4*r + 21. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 1 + -2 - (28 - 120 - -48)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**2 + 1. Let g(m) = -14*m**2 + 7. Calculate g(u(f)).\nAnswer: -686*f**4 + 196*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 55. Suppose 17 = x + 5*w, 5*x + 4*w - 14 = o*x. Solve -4*p = -2*p + x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5.2. Let i = 5 + -10. Which is the second smallest value? (a) k (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0, 38, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 10 = 5, -4*g - 18 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 821, 5, -1 in descending order.\nAnswer: 821, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4\/(-6)*(-3)\/6*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 11*d - 12. Let k be m(7). Suppose 22*v = k + 365. Solve -4*s = -2*p + 9 - 7, v = 4*p + 5*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 18. Suppose 0 = -4*v - f*v + 60. Solve 0*y - v = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u - 3*u - 6*u + 4*u. Let g(t) be the first derivative of -t**5\/60 + 2*t**2 - 3. Let r(a) be the second derivative of g(a). Calculate x(r(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(-12)*3*8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8 - 0. Let q be g*(-1)\/(-3)*3. Let s(w) = w**2 - w + 2. Let u be s(q). Solve 0*a = 3*a + 5*h + 9, 12 = -u*a - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + t**2 - 3*t + 7. Let o be d(-3). Suppose 3*w = 5*w. Sort o, -3, w, 4 in ascending order.\nAnswer: -3, o, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 - 4*r**3 + 13*r**3)*(0*r + 0*r + r)*(2 - 6 + 1).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbpp when four letters picked without replacement from {a: 2, f: 5, b: 4, w: 1, p: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -46. Put -6, 0, k in decreasing order.\nAnswer: k, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*846*12\/(-648).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 3. Let u(s) = -2*s**2 - 2*s - 2. Let b be u(l). Let q(w) = w**2 - 5. Is q(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -1 (b) 2\/5 (c) -0.13 (d) -50 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*t**3 - 448*t**2 - 43*t**3 + 415*t**2.\nAnswer: -107*t**3 - 33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - 1 - -3 - -36. Suppose 2*w + 6*b - 14 = 3*b, -3*b = 4*w - y. Determine c, given that -w + 3*c**4 - 6*c**2 - 3*c**3 + 10 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l = c - 30, -4*c + 8 = l. Let x be (-20)\/12 + l\/6 + -3. Find the common denominator of -1 - x\/(-42)*26 and 19\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 50 = 22*i. Suppose 0 = 2*s - 3*u + 2*u - 9, -3 = s + u. Sort i, s, 40 in descending order.\nAnswer: 40, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 6*y + 1. Calculate the remainder when 20 is divided by m(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57177.64233 rounded to zero decimal places?\nAnswer: 57178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 1, c: 4}. Give prob of picking 2 x and 1 a.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13935916459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 10:47 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755732 (base 8) in base 7?\nAnswer: 6414553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0*y**2 - 2\/3*y**3 + 0*y**4 + 6*y - 1\/30*y**6 + 3\/20*y**5 + 17. Find k such that t(k) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316000 rounded to the nearest 10000?\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7026 - 0.7030061. Round f to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 2*w - 31. Let b(n) = n**3 - n + 2. Let c(k) = 2*b(k) - m(k). Let x(s) be the first derivative of c(s). Let j(y) = 14*y. What is j(x(v))?\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -698\/3 + 9769\/42. Find the common denominator of g and 3\/119.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.062 - 0.338. Let q = -0.2 - 0. Which is the biggest value? (a) 3 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 858 + -595. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1180*22106\nAnswer: -26085080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 10. Let n = 39 - 35. Let j be b(n). Solve -j*p + 3 = -7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 4*i + 37899012 = -42*z, -5*z = -3*i - 63165009. What is z rounded to the nearest 100000?\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3272 times -721\nAnswer: -2359112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (27\/36)\/(2\/584) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1380*p - 759*p**3 - 1380*p + (-4*p + p + 5*p)*(p**2 - p**2 - p**2).\nAnswer: -761*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from ehbhjlk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*c + h - 35 = -411*c, 3*h = -3*c + 33. Factor -15\/2*y - c - 3*y**2 + 1\/2*y**3.\nAnswer: (y - 8)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -21. What is the units digit of (x\/(-8))\/(4\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 37. Let g be p\/3 + (-26)\/(-39) + 11. What is the highest common divisor of 112 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*i + 3*l + 12, -2*i - 4*l + 14 = 0. Suppose 0 = i*q - 524 - 181. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-1 + 1) - (-1 - -3). Let v(o) = -o**2 - 4*o + 8. Let h be v(c). Sort 6, h, 4.\nAnswer: h, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -728, -2983, -6728, -11957, -18664, -26843, -36488, -47593?\n\"Answer: v**3 - 751*v**2 - 9*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 at least -32\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - 0.14. Let p be (1\/3)\/((-6)\/(-72)). Suppose -p*d - 30 = -4*b - 2*d, b + 15 = -4*d. What is the closest to 0.1 in 4\/5, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29 - -6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*b - 24. Let c = 902 - 893. Sort -0.1, c, b, -3\/5 in increasing order.\nAnswer: -3\/5, -0.1, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4048 and 7556236?\nAnswer: 332474384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2 = -14. Suppose -21 = -3*r - q. Suppose -z + 3*d + 0*d = -9, -3*d + 21 = 4*z. Solve 0 = 3*b - r*b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (474\/(-4)*16\/(-24))\/1. Suppose -l = -5*n - 84. Suppose -2*a - 5*o = -20, 2*a = 3*o + 9 - 5. Which is greater: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -65) + (1 - (9 - (31 - 14)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 2751 = -35*u. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9967, -17908, -25849, -33790?\n\"Answer: -7941*g - 2026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 5*r + 2*r - 2*r + 3*r + 0*r + 3*r - 5*r + 0*r + (-1 - 3 + 2)*(-3*r + 5*r + 0*r) - 3*r + 19*r + 0*r as z*r + d and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -39.8. Let j = -28 + 28.4. Let k = -0.9 + j. What is the nearest to -1 in k, 1\/3, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2534.00524 - 2534. Round v to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -8. Calculate the lowest common multiple of 2 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 12*h. Suppose h = 4*d - j - 27, -9 + 0 = -3*d - 3*j. Suppose -d*v - 11 = -29. Let f(x) = -x**3 + 3*x**2 - 3*x + 2. Calculate f(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 7:31 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 624, 1386, 2282, 3312, 4476?\n\"Answer: 67*u**2 + 561*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -5*p**4\/24 + p**3\/3 + 381*p**2. Let h(j) = 2 + 4*j**2 + j - 5*j - 3*j**2. Give 3*h(r) - 2*t(r).\nAnswer: 3*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7842000 divided by -3\nAnswer: 2614000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 7*b**2 + 5*b - 3. Suppose -m - 8 = 4*i, m + 68 = -3*m - 4*i. Let l = -14 - m. Let q be j(l). Is -7 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3728214 and 3195612?\nAnswer: 22369284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*k = 8058 - 178 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 26*m - 1. Let o be v(13). Let z = o + 136. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 2\/5, 2143, 4\/15 in descending order.\nAnswer: 2143, 2\/5, 0.3, 4\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 - 2*h + 36 - 44*h**4 + 123*h**4 - 37*h**4 - 40*h**4 - 2*h**3 - 4*h**2 to the form f*h**4 + n*h**2 + p*h + t*h**3 + s and give s.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28593 is divided by 637.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0113858 rounded to four dps?\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7454 - 0.583. Round h to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-118)\/(-1121))\/(344\/(-13889))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**2\/2 - 6*u + 1022. Let b(y) = -y**3 + 6*y**2. Let q(w) = -3*w. Let c be q(-2). Let f be b(c). Give o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59218928 is divided by 179.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -178 in -2\/39, 0, -0.05?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39265521 to the power of 1\/2, to the nearest integer?\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6*z + 9*z = -4, h - 15 = -5*z. Solve 3*n - 4*r = -1, -h*r = -5*n + 4 - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:02 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -1.7. Let k = m + -1.8. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -f - 31, -58 = -2*a + 8*f - 20 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -893\/10 + 98. Let j = -286\/5 + 56. Calculate the common denominator of q and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359 - 342 - (1 - 45)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 + 1 - 3 - 2*r - r**4 - 3*r**2 + 0*r**4 to w*r**4 + m*r**3 + t*r**2 + x*r + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2877, -5708, -8539, -11370?\nAnswer: -14201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 6:32 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 2*j + l + 19, 5*j - 2*l - 266 = 0. Calculate the highest common divisor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1, 3\/5, 4\/9, 2, 6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 4*v**2 - 2*v**2)*(-v - 9*v**3 + 1601*v**2 - 1601*v**2) + (-2*v + 3*v - 65*v)*(3*v**4 - 2*v**4 - 2*v**4).\nAnswer: 55*v**5 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92796.7 meters to micrometers.\nAnswer: 92796700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 10*l**2 + l + 10. Let o be h(10). Suppose 2*y - 4*g - 752 = 0, 8*y - 1844 = 3*y - 2*g. Calculate the highest common factor of y and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4657243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -391.92 + 404. Let z = x - 0.08. Let h = z - 12.0028. What is h rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 + 8*h - 9. Let z be (2 - 8 - 0) + -1. Is s(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h - 4. Suppose 30899992 = -h*n - n - 2*z, 0 = 3*n + 3*z + 30899988. What is n rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -416 + 824 - 409. Let o(f) = -f - 27. Calculate -j(t) + o(t).\nAnswer: -t - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3. Let n(d) = -23*d**3 - d**2 - 235*d - 2. What is 11*g(l) + n(l)?\nAnswer: -l**3 - l**2 - 235*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 2 + 1 - -1. Find the third derivative of 3*l**2 + u*l**5 - 9*l**2 - 6*l**3 + 6*l**3 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*k**2*p**3 - 112991197*i**2*k*p**2 + 119*i*k**2*p**3 - 2*i*k**2*p**2 + i*p - i - 1805*k**2 wrt i?\nAnswer: 4*k**2*p**3 - 225982394*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4986, -10103, -15356, -20745, -26270, -31931, -37728?\n\"Answer: -68*d**2 - 4913*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/13)*d**6\/d)\/(d**(-2\/9)*d\/d**2) assuming d is positive.\nAnswer: d**(782\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 14119977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**3 - 2*w**2 + 7*w + 6. Let p(m) = -15*m**3 + 2*m**2 - 8*m - 7. Let y(f) = -7*b(f) - 6*p(f). Suppose y(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 9:45 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 4\/(-3). Let l = -89\/606 + -2\/101. Is l < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-3))\/((-4)\/6). Suppose 3*i + p = 7*i. Suppose i = 2*t - 9. Solve 25 = -0*f - t*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235047 or 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*h = 93918, -2*h + 187830 = 6*y + 2*h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 72\/31, -20, -5, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48759 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37644 is divided by 18415.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10154 by 5077.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*c)*(-4 - 2 + 3) + (4 - 4 - 1)*(c + 0*c - 4*c) to the form a*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 at most 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163513735 is divided by 469867?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 2*t - 2. Let j be i(-1). What is the units digit of 18\/27*6\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d - 10. Let u be 2 + (4\/(-12))\/(1\/15). Let l be a(u). Suppose l*o - 5*c - 169 = 0, -o + 2*o = -5*c + 62. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/18*(-15)\/(-5))\/(-1))\/((-124)\/(-4092)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20840.9979571 - 20841. What is c rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i + 48 = -66*i + 138*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147300 = -13279*o - 38606 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1. Let g(w) = 61 + 132*w + 15 - 28 + 40*w**2. Let a(c) = -g(c) - 12*h(c). Determine l, given that a(l) = 0.\nAnswer: -3, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3451*r - 1583*r - 1808*r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -384550619.63 and 73.1.\nAnswer: -384550546.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Suppose -4*c + 22 = m*y, c = -2*y + y + 6. What is the tens digit of (-8)\/(2\/c*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23\/240 + 57\/16. Calculate the common denominator of n and 80135\/(-1395)*(-12)\/88.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Solve 0 = 2*t - 1 + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 3*n - 27, -9*n - 3 = 4*w - 10*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 65*w**2 - w - 625. Let g(h) = 49*h**2 - 2*h - 624. Determine 4*g(y) - 3*v(y).\nAnswer: y**2 - 5*y - 621","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 108362856 and -511.93.\nAnswer: 108362344.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {z: 5, j: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-5))\/6*(-1 - -1). Suppose v = -3*g - n + 12, g + 4*n - 9*n = -12. Solve 4*t + 17 = -i, 8*i - 3*t = g*i + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjwmomtj. What is prob of picking 1 w, 1 y, and 1 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from hhqhhhqhhhhqhhhhqqh?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -86, -251, -5, 7 in ascending order.\nAnswer: -251, -86, -5, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39*24\/(-28)*-21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 6219980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 0.6. Let u = -4 + l. Let p = 58\/39 + -4\/3. What is the second biggest value in u, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = -3*d, -2*d - 2*q + 1 = 11. Let l = 179365\/5694 - 2\/2847. Calculate the common denominator of (15\/22 - -2)\/d and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 379 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 240*p**2*w**2 - 3*p**2*w - 2*p*w**2 + 118*w**2 + 10*w + 4 wrt p?\nAnswer: 480*p*w**2 - 6*p*w - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {m: 2, c: 7, o: 3}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -9*z**5\/5 + 5*z**2\/2 + 16. What is the second derivative of h(f) wrt f?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101100 and 15675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t. Let r(a) = a. Let h(l) = 3*k(l) - 6*r(l). Let x(q) = 2*q**2. What is h(x(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78308?\nAnswer: 2, 19577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Suppose -o*a - 4 = -5*a. Suppose 3*z = a*z - 5*c - 31, z - c = 19. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154723 + 285350. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 3*f - 1. Let w be o(3). Let q = -1697455\/22659 + 6219\/83. Do w and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 181040330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*(i - 2*i**2 - i) + (6*i - 27*i - 14*i - 1)*(-i - 2*i + i) as t*i + b*i**2 + r and give b.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = -4*j + 36, -3*j + 13 = -2*h. Let w = 111 + -64. Let l = h + w. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j = 51*j. Solve 2*p + 6 = f - j*p, p = -1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-11))**(1\/3)\/(o\/(o*((o*o*o**(-37)*o*o*o*o)\/o)\/o)*o*o\/(o**(-1\/13)\/o)) assuming o is positive.\nAnswer: o**(-1550\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2104 (base 11) to base 15\nAnswer: -c5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {n: 3, h: 3, e: 3, v: 6, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 5*i**4 + 3*i**4 + 17264*i - 17338*i + i**3 as a*i + m + t*i**4 + j*i**2 + x*i**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 4*z. Let c be w(3). Suppose 0 = -c*r + 4*o + 41, 0*o = -5*r - 3*o + 20. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2023374 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313201 + 11?\nAnswer: 313212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50\/7 - -2197\/42. Let s = n + -45. What is the closest to -2 in s, 1\/10, 5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k\/(k*(((k\/k**(-9))\/k)\/k)\/k)*k)*k**(-4)*k\/(k*k\/k**(5\/2))*k*k**14 assuming k is positive.\nAnswer: k**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 16*q**2 - 13*q + 19. Let x(v) = 3*v**3 - 34*v**2 + 27*v - 40. Let g(b) = 5*f(b) + 2*x(b). Give g(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.1 + -0.1. Let h = 3 - u. Let r = 1.9 - 1.6. Which is the nearest to 0.1? (a) r (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 275.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -15*l**2 - 3*l - 5. Let b be f(4). Let j = b + 380. Let k = -97 + j. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 - 880 - -596 - (-1 - (-1 + 16))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 13*t - 35. Determine r(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 5*y - 3. Suppose 0 = -6*n + n - 10. Is 19 a factor of l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcfqfjgfffgfc. What is prob of picking 1 q, 1 f, and 1 j?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 11}. What is prob of sequence aa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-101916)\/54)\/((-2)\/15) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/60 - m**3 + 2*m. Let u(o) be the second derivative of r(o). Let n(k) = -13*k. What is u(n(d))?\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**3 + 32 - 32 - 3*c - 3*c**4 + 16*c**3 in the form g*c**4 + y*c + o*c**2 + i + n*c**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 2\/5, -4, 1\/54, 40, -2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b\/(b**(-9)*b))))**(-39) assuming b is positive.\nAnswer: b**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(3200610\/(-266714) - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oczcczzzzzozc. What is prob of sequence occc?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 11) to base 3\nAnswer: 12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z. Let a(q) be the second derivative of -3*q**3\/2 + 5*q**2\/2 + 10*q + 80. Calculate a(w(o)).\nAnswer: -117*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2302, -4789, -7650, -11071, -15238?\n\"Answer: -31*l**3 - l**2 - 2267*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-8 - -3 - -1)) + (-13 - 7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 2*w + w + 6, -10 = 5*w + i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 5*g - 3. Let p = -5 - 1. Let c be l(p). Let j(h) = -h + 7. Let k be j(c). Let s(y) = -y - 4. What is s(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let t = -3 + 9. Let s = t - 7. Let d(x) = -2*x**2 + 2*x - 2. Suppose 5*j - 5*p = -30, p - 2 = 2*j + 5. What is j*d(m) + s*c(m)?\nAnswer: 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/489 - 21035\/978. Find the common denominator of c and 6\/(-15)*7\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**7\/1680 + d**6\/720 - 13*d**5\/60 - 14*d**2. Let t(b) be the third derivative of c(b). What is the units digit of t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-10 + 2 + 1 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 2, 0, 899, -5 in ascending order.\nAnswer: -21, -5, 0, 2, 899","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2)\/((-6)\/60). Let t be -1*(-5)\/(o\/4). What is the third derivative of -3*k**5 + 0*k**5 + 0*k**5 + 5*k**t - 2*k**5 wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6*v + 34 = 0, 1552*k - 1551*k - v = -1. Suppose -3*y - 5*j + 17 - 49 = 0, -5*j - 24 = y. Put k, 73, y in ascending order.\nAnswer: y, k, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34432 divided by -32.\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 1 + 8*c + 6*c - 13*c + (1 + 0 - 6)*(-3*c**2 + 3*c - 3*c) in the form h + f*c + b*c**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 23) + -3 + 2 - (103 - 112)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -69631 (base 12) to base 14\nAnswer: -394a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733 times -567218?\nAnswer: -982988794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 57 = -67. Suppose -5*k - 301 = -2*h, 3*k - f*k = 5*h - 51. Let g = 99 + k. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -19. Let p = 0.056 - 1.666. Let q = 1.71 + p. Put q, 1, v in decreasing order.\nAnswer: 1, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 5:29 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-1960)*2668 + 9\/(-45). Suppose -48\/7 - 46\/7*m**3 - 136\/7*m - f*m**2 + 0*m**4 + 2\/7*m**5 = 0. What is m?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27201045.\nAnswer: 3, 5, 569, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -10*i + 15*i + 4, 2*i = 4*b - 8. Suppose -5*m = 5*z - 45, -6*m = -2*m - z - 11. Suppose b*h - a = 82, -8*h + m*h + 4*a = -172. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p\/(p*p**(-9)))\/p))**(-39))**(-47) assuming p is positive.\nAnswer: p**(-16497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -7. Let a = 3 - k. Suppose -x + 9 = h, 2*h = a*x - 3*x + 4. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-3894))\/((-155)\/310).\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1232, 4836, 10816, 19172, 29904, 43012?\n\"Answer: 1188*r**2 + 40*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/3)*t)**39*t*(t**(-6)\/t)\/t*t*t*t**(2\/9)*t*(t**(-1\/3)\/t)**(3\/37)\/((t\/t**(2\/25))\/t*t\/(t\/t**1)) assuming t is positive.\nAnswer: t**(501116\/8325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 10:40 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 112018?\nAnswer: 2\/56009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(5 - 5 - 2*i**5 + (-2*i**5 - 28*i**5 - 2*i**5)*(2 + 2 - 3)).\nAnswer: 34*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**2 - k**3 - k - 9 - 10 + 18 - 5*k**2 to the form z*k**2 + x + u*k + g*k**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Suppose -41 = -g - 42. Let u(h) = -5*h + 5. Give g*u(s) - 4*a(s).\nAnswer: s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-109324)\/(-168))\/(-181) + 14\/4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let r(a) = m + 0 - 3 + 2*a. Let d(v) = v + 2. Let p(o) = o + 4. Let w(i) = -2*d(i) + p(i). What is -r(j) - 4*w(j)?\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-4.3627523833\nAnswer: -4.1627523833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -6750 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + l = -3, 6*u + 2 = -3*l - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k**2 + 445*k + 1390. Determine v(-46).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g - 22. Let l be z(-3). Let w be 6 - 2 - (-18)\/l. Let j = -6 + 8. Which is the closest to w? (a) j (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56656.84 grams to kilograms.\nAnswer: 56.65684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**3*i*i*i*i)\/i)**5)**(-39)\/(i\/(i**(-2\/3)*i)*(i\/i**(3\/10))\/i*(i*i**(2\/9)*i)**8) assuming i is positive.\nAnswer: i**(-124483\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18331335 is divided by 6110429.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 641091007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 10*t**2 + 11*t - 46. Let h be u(-8). Let y(m) = 21 - 54 + 2*m + 26. Give y(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-3) - -5 - -1265. Let t = x - 12687\/10. Find the common denominator of 39\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvp when three letters picked without replacement from {l: 1, p: 6, v: 11, x: 1}?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 27751 = 3*u, -2*s + 27779 = -3*u + 6*u. List the prime factors of u.\nAnswer: 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 53 = -5*a, 4*a + 16 = -3*w - 33. Is (-2)\/a + (-2 - (-8908)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032145*29\nAnswer: -0.932205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001 (base 2) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -17. Let t = 6 + l. Solve t = -5*r + 3*d - 1 + 8, -3*d = 5*r + 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3 + 7. Let i be 28*((-10)\/14 + 1). What is the remainder when r is divided by i - (-8)\/(48\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0005 + -7.8\nAnswer: -7.8005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*((-973)\/(-56) - 15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 168914927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 15) to base 10\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 14*v = 144. Suppose -2*m = 2*m - v. What is the second derivative of -p + 9 + 0*p - m + 13*p**3 wrt p?\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 6, -0.6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4 - 15) - (-7 - 3 - -4) - -47?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154341 divided by -1154341?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3077 = -5*w, -5*r - 2268 - 181 = -4*w. Calculate the lowest common multiple of w and 144.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 2*c - 20. Let f be s(4). Let q be 8 - 3*4*5\/f. Suppose q*h + 249 = 6*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 18386*z. Let f(l) = 13*l - 64. What is f(u(y))?\nAnswer: -26*y**2 - 239018*y - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 2, q: 5, o: 3, b: 1}. Give prob of picking 2 o and 1 b.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y - 5*y)*(97*y + 54*y - 17*y + 3*y**2) as n*y**3 + d*y + r*y**2 + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j. Let f(p) = 3*p + 0*p + j*p. Let h(z) = 2*z. Calculate f(h(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -15. Let q be (-33)\/22*4\/n. Let z(w) = w - 2. Let i be z(q). Solve -4*y = -i*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 5*g - 3*g)*(4*g + 0*g - 5*g) - 105520*g**2 - 54 + 211541*g**2 - 104709*g**2 - 1 in the form f*g**2 + i + v*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -1, -1217, -5, -27, -4 in ascending order.\nAnswer: -1217, -27, -5, -4, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l. Let r(w) = -591*w - 3. Give d(r(z)).\nAnswer: 2364*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 5 (b) -6\/7 (c) 2\/133 (d) 0.4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o + 5 = 0. Let f = -19.13 - -23.1. Let w = f - -0.03. Which is the nearest to o? (a) w (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 4*p - 4. Let o be f(-3). Let j be (19 - 29) + (-26)\/(-2). Put -2, o, 5, j in increasing order.\nAnswer: -2, o, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 7:51 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -117, -3 in decreasing order.\nAnswer: 6, -2, -3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -92\/3. Let o = -2547 - -2547.5. Which is the closest to -1? (a) o (b) 10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.082 + -2856.6293.\nAnswer: -2853.5473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13155.513 months?\nAnswer: 109.629275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.4321664 to 0 decimal places.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -34. Suppose 0 = 4*w - 4*l + 8, w - b*l - 3*l = -10. Suppose c = 74 - w. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 59 - 45 + a + 5.\nAnswer: 2*a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*d = 1328*d + 712*d - 839*d + 114550 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112245 and 6440725.\nAnswer: 5345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1 + -1 - 4\/20). Is 198*5 + 5 - (-1 + n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 312*v**2 + 1969*v - 799. Determine y(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:41 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*h - 3*k, -4*k + 2*k = h + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 - 2*f**2 + f**3 - 9*f**4 - 4 - 5 + 20 - 7 + 2*f to s*f**4 + y*f**2 + l*f + o + n*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**6\/80 + w**5\/40 - 80*w**2. Factor c(z).\nAnswer: -3*z**2*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b. Let l be r(-1). Is 14 a factor of ((-35)\/l)\/((-2)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -60*r**2 + 24*r - 14. Suppose 5*n - 32 = 4*g + n, 0 = g + 5*n - 22. Let s(b) = -12*b**2 + 5*b - 3. Let h(d) = g*i(d) + 14*s(d). Factor h(z).\nAnswer: 2*z*(6*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, h: 3, z: 1, v: 2, x: 8, i: 1}. What is prob of sequence jvz?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 421493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -226*g + 89. Let s(n) = 622*n - 268. Calculate -4*s(m) - 11*t(m).\nAnswer: -2*m + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**5\/5 - u**4 - 382*u**3\/3 + 1586*u**2 + 3549*u + 2009. Factor k(m).\nAnswer: (m - 13)**2*(m + 1)*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641622?\nAnswer: 2, 3, 337, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/36 and -31\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.9094182 rounded to 2 dps?\nAnswer: 117.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.985 + -0.015. Which is bigger: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 7173*t + 50162. Let s be h(-7). Find m such that 0*m - 2\/3*m**3 + 0*m**2 + s = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m - 23. Is 2 a factor of v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3594, 8076, 15546, 26004, 39450, 55884, 75306?\nAnswer: 97716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4 - 240*d**3 + 696*d**2 - 688*d + 228 = 0.\nAnswer: 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 25 = 5*u. Calculate the greatest common divisor of 51 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 4 = 10*r. Suppose 0 = -4*u - 3*w - 273, w - 6*w - 15 = 0. Calculate the smallest common multiple of (-279)\/r + (3 - u\/(-24)) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5210, 5199, 5174, 5129, 5058, 4955, 4814?\nAnswer: 4629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -7868*l + 7890*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:05 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15196 is divided by 2062?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300 + 304. What is the derivative of 251*j**3 + 125 - 3*j**2 - 2*j**y - 154*j**3 + 3*j**2 wrt j?\nAnswer: -8*j**3 + 291*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/27007 and -101\/678.\nAnswer: 162042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, t: 3, l: 5, m: 3, s: 7}. Give prob of picking 1 n and 2 t.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1032\/(-1161))\/((-2)\/45). What is the greatest common divisor of 70 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5792 divided by 3\nAnswer: 5792\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.3. Let f = 13.39 - 2.69. Let s = 12.2 - f. Which is the third smallest value? (a) s (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 32 (b) 5\/6 (c) -4 (d) -2 (e) -0.5 (f) -0.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69\/5 - 3\/5*z**2 + 72\/5*z.\nAnswer: -3*(z - 23)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + -98. Suppose r*a - 3535 = 4*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g*g**(-1\/41))))\/g**(6\/17) assuming g is positive.\nAnswer: g**(-263\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-113 - -172)\/((-10)\/((-50)\/(-5)))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21704617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 512*c - 9733. What is b(19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 - 344585*j**2 + 5936768815*j + 5937113405 = 0. What is j?\nAnswer: -1, 34459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 11*h**5\/20 - 3*h**3\/2 - 9*h. What is the second derivative of p(m) wrt m?\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(84) + sqrt(84) + (2*sqrt(84)*1 + sqrt(84) - sqrt(84)))\/(-2*(sqrt(84)\/(sqrt(7)*-2) + -2*(sqrt(108) + sqrt(12))))*-6.\nAnswer: 12*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16215178 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-2 + 5 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 1, u: 1, t: 6, p: 2, g: 4}. What is prob of sequence qotp?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 32. Suppose 39 = -6*q + m*q. Calculate the remainder when q is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -160405 from 5570.\nAnswer: 165975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 8:58 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-20) + (-9)\/6. Let t = 6.2 + -6. What is the biggest value in s, t, -1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 16*n - 17. What is the smallest common multiple of 114 and a(11)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41989.2928 to the nearest one hundred.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 22 - (-1869 + 1851)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -909000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 7*b - 4. Determine g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 = -0. Suppose -q = 4*o + 43, 0 = -3*q - 2*o - 20 - 69. Let b = z - q. Solve -2*p = w - 11, 2*p + 5*w - b - 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 39, 108, 235, 438?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -l + 20617, -4*l + 11*m - 12*m = -82373. Let r = l - 1009053\/49. Find the common denominator of -29\/70 and r.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20210220002 + -20000?\nAnswer: -20211010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 859911 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g = 12 - 127. Suppose -18331 = -4*l + g*z, -33*l - 9153 = -35*l + 5*z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(7\/(868\/6)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2122130 - 2113?\nAnswer: -2130303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-14)*9\/(-6)*4. Let k(m) = m**3 - 6*m. Calculate k(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -4\/7, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -10 + 10 + -10 + 5 + 7 + -8.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*42\/4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3207660608 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -402.09 to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 10:10 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose 3*o + 45 - 19 = d, 0 = -3*d + u*o + 88. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 80856078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96108 is divided by 342.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-26)\/52)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -16, -32, -50, -70?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 21112111012?\nAnswer: -21112110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*(p**2\/p)\/p)*p**(1\/10)*p*p*p*(p*p**3)**47 assuming p is positive.\nAnswer: p**(1911\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-18)*(-3)\/(-2). Let w = -2\/201 + -376\/2613. What is the nearest to z in 1\/3, -0.4, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1501*w - 1363*w - 146*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2002, 2018, 2058, 2134, 2258, 2442, 2698, 3038?\n\"Answer: 2*k**3 + 2*k + 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 10.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 13*z - 15. Let n be a(12). Let s = -23 - n. Let y be 0 + 82804\/s - 1. Round y to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -69*s**3 - 2*s**2 + 1. Let k be x(-1). What is the units digit of ((k\/6)\/(-1))\/(10\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*i - 3*i + 198 = 0, 3*b + 2*i = 152. Calculate the remainder when b is divided by 8\/6*(-117)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-28)\/3)*(-3)\/9. Are m and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 + 2*q + 4. What is f(3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 - -250. Let c = -66 + f. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/136 and 38\/304215?\nAnswer: 2433720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w**3)**(2\/19))**(-1\/4) assuming w is positive.\nAnswer: w**(-1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17722 + 17722.5. Sort 0, 4, 617, l in decreasing order.\nAnswer: 617, 4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/((-6)\/(-12)). Suppose -9 = f - 0. Let m be (f\/(-6))\/3*0. Is y <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1325*o**5 - 1961*o**2.\nAnswer: -79500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -492 and 146?\nAnswer: -71832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*-18*30\/(-120)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 12:23 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + 1*sqrt(88))*4)\/((sqrt(14)*-2)\/sqrt(7) + (sqrt(12)\/(sqrt(6)*-1) - sqrt(2))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*m - 931 - 3524 = -355. Calculate the remainder when 683 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by -3\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 2164880*r**2 - 12989145*r + 19483650.\nAnswer: -5*(r - 432970)*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 8) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 2)*(3 - 6 + 2) + 5 - 1 - 2)*(2 - 2 - 3)*(123*q - 123*q + 2 + 24*q**2).\nAnswer: -288*q**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 8*q - 4*y + 226, 0 = 4*y + 8. Let o = -222 - q. Suppose -6*d = -2*d - 20. Solve d*l - 2*l = -o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221223463?\nAnswer: 1221223463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -17. What is the closest to x in -1\/3, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828712 (base 10) to base 8.\nAnswer: 3122450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3 - 17493*d - 66794*d - 6. Let b be i(-7). What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -39. Suppose d - 530 = -u*m, 0 = 6*m - 9*m + d + 310. What is the remainder when m is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 5 - 5. Let l(t) = 288*t - 573*t + 24 + 283*t. Calculate y(l(f)).\nAnswer: 4*f - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f - 3 - 1 + 13*f - 5*f + f. Determine o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 24631185, 24631196, 24631213, 24631236, 24631265, 24631300?\nAnswer: 24631341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -88*g**4\/3 + 137*g**3\/6 - 41*g**2 - 8. Differentiate z(h) wrt h.\nAnswer: -704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2510249*b + 37653735. Give c(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 13. Let g be d(-8). Put g, 6, 4 in decreasing order.\nAnswer: 6, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = -71 + 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/53606 and -47\/4.\nAnswer: 107212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15651 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, -185, -528, -1001, -1598, -2313?\n\"Answer: j**3 - 74*j**2 + 8*j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 3*w**2 + 4*w - 7. Let f be r(2). Solve 33 = -f*i + 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*y + 7 = -4*y, -c = -y + 1. Suppose -c*b = -b - 10. Suppose 333 = 4*i - p - 0*p, -b*i + p = -416. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4146435 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40 * -2\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*i - 7*p + 2*p, -5*i + p + 15 = 0. Suppose -i*t = t - 4225. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 935, 1851, 2777, 3719, 4683, 5675?\n\"Answer: y**3 - y**2 + 912*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 370 = 9*u. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 898 + -619. Calculate the lowest common multiple of a and 10.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3331188 to the nearest integer?\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3889878 and 438.\nAnswer: 3889878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let c(i) = -3*i. Let h(d) = -d. Suppose -21 + 18 = -q. Let m(g) = q*c(g) - 3*h(g). Calculate o(m(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8263083*q**2 + 4807423?\nAnswer: 16526166*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5)\/g)**(15\/7)*g*g**(5\/11)*g*g\/g**(-25))**(1\/15) assuming g is positive.\nAnswer: g**(1366\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 572303.52998 from 930.\nAnswer: -571373.52998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Let g be z\/(-6)*(-3)\/(-2). Let t be -1 - (-2 - -2)\/(-1). Is t at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.89 (c) 0.5 (d) 2225 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5897*q**2 - 2946*q**2 + 0*q + 2*q - 2*q - 2976*q**2.\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 29, -423, -3 in decreasing order.\nAnswer: 29, 8, -3, -4, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 747369176 divided by -93421147?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41429 is divided by 41383?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 3ba714?\nAnswer: 3ba710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132 - 10313?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 + 4*l - 7. Calculate v(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.9 + 0.1. Let m(b) = 6*b + 1. Suppose 7 = -p + 5*c + 16, 5*p - c + 3 = 0. Let t be m(p). What is the nearest to -0.1 in t, -4\/7, a?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030323 (base 4) to base 3.\nAnswer: -110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -204 (c) -2\/7 (d) -0.5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/24*-3)\/1. Let o = -0.3 + 1.6. Let w = -0.3 + o. Which is the closest to w? (a) z (b) -0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101692516 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 72938.89 to the nearest ten.\nAnswer: 72940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -486*t - 1. Let n(x) = -4546*x**2. Calculate i(n(y)).\nAnswer: 2209356*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.39 (b) 546 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16*o - 124. Calculate g(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56774364 and 2384?\nAnswer: 227097456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -9 (c) -2\/15 (d) 8 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(sqrt(3) + 0).\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1627140?\nAnswer: 2, 3, 5, 47, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 30*b + 2*b**2 + 3 - 79*b + 24*b + 3*b**3 + 21*b + b**2. Determine n(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 18204 - 25656 - 6386 = 0. List the prime factors of n.\nAnswer: 2, 7, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/160)\/(1 - 6595\/6520) + (-54)\/(-45)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 14) to base 3\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 763565?\nAnswer: 763560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 204287 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.928 less than -50.6?\nAnswer: -137.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 15 = 3*b - 8*b, 3*b = g + 9. Suppose -19 + b = -4*k. Suppose 0*w**2 + 2\/13 - 4\/13*w + 4\/13*w**3 - 2\/13*w**k = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Let u = 3.858 - -0.142. Which is the third biggest value? (a) u (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824108113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45822?\nAnswer: 2, 3, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 158 - 4*b**2 - 158. Let h(x) = -8*x**2. Determine h(i(t)).\nAnswer: -128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - (2 + 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11794422?\nAnswer: 2, 3, 293, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27931)\/(-1) + (-184 - -173). What is i rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*p - 13 = 0, 26 = 5*m - 4*p + 5*p. Suppose -130 = -m*t + 5*c, -104 = -4*t - 0*c - 4*c. Suppose 2*s - t = 98. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 2*s**2 - 2*s - 1. Let d be f(-1). Let g = d + 5. What is the smallest common multiple of 5 and (1\/g)\/(3\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -144*j. Let s be (3\/(-9))\/(11\/(-132)). Let y(z) = -9*z. Calculate s*b(x) - 63*y(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 0, 3*p - 5*p - m = 9. Let w(l) = l**3 + 6*l**2 + 5*l - 5. Determine w(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5138 = 5124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(245) - -6*-1*sqrt(245) - (sqrt(245) - -3*sqrt(245)*-6)) + 0)**2 + 3 + 3.\nAnswer: 35286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -79, -58, -19, 44, 137?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-9 - (10 - (35 + -58))).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*r + 101*r - 3*q - 77 + 35, 4*r = -6*q - 50 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + (2 - 1) - 9 - ((9 - 10) + -5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-22638)\/(-2) + (-484 - -471)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*i = 155633 - 617289. Round i to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2018*c + 54793*c**2 + 2018*c.\nAnswer: 54793*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.241092 decades in millennia?\nAnswer: 0.01241092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2867829?\nAnswer: 3, 103, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691319*n**2 - 7*n + 7*n.\nAnswer: -691319*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.2 - 54. Let i = g - -10.8. Which is the biggest value? (a) 2 (b) -1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 + -127. What are the prime factors of (y - -962)\/3 - 16\/4?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1146 and 81\/2.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6384062 tonnes?\nAnswer: 638406.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -310*i + 1258. Let h be r(5). Which is smaller: -1464\/5 or h?\nAnswer: -1464\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1464633553 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23398*a**2 + 9867*a - 2 wrt a.\nAnswer: 46796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -395, -439, -483?\n\"Answer: -44*j - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) -8\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-18)\/4*2\/3. Suppose 0*r = b*r + p - 18, -3*r = -3*p - 18. Let d(t) = 2*t. Determine d(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.449 + -1.359. What is the fifth smallest value in t, 3, -0.4, 1, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 200*q**3 - q**2\/2 - 67*q + 1477. What is the second derivative of k(m) wrt m?\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*g - 731 = -90*g + 287*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.169 * -18.\nAnswer: -21.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 75453*n + 528024.\nAnswer: 3*(n + 7)*(n + 25144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 3, -3\/7, 375?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 51640*a**2 + 516025*a + 1289750.\nAnswer: 5*(a + 5)**2*(a + 10318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -74. Let q = z - -83. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5519651, -11039302, -16558953, -22078604, -27598255?\nAnswer: -33117906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 < 19133207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 25*w - 21*w. Solve 40 = -p + w*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + 16*l + 9. Let o(n) = n**2 - 8*n - 4. Let a(z) = 2*f(z) + 5*o(z). Determine a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6022 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n + 3*n + 99 = 0. Let p(z) = 28*z + 2. Determine p(n).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -623*b**2. Let r(q) = 3*q. Calculate r(n(x)).\nAnswer: -1869*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4231367*j**3*l - 410734*j**2*l + 13*l wrt j.\nAnswer: -25388202*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -304772, 327 in decreasing order.\nAnswer: 327, 0, -304772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383 less than 249?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*k**3 + 3*k**2 + 23783*k - 23784*k + 4*k**2)*(-17*k + 22*k - 14*k)*(0 - 4 + 5) to u*k**3 + y + m*k**2 + a*k + o*k**4 and give u.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2\/25 of a meter?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 33*m**2. Let z(n) = -14*n**2. Determine i(z(r)).\nAnswer: 6468*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 2?\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4870, 2\/9, 2.\nAnswer: -4870, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -1. Let z(v) = v + 3. Let w(o) = 11*o + 1. Let l(m) = -5*m - 1. Let k(t) = -7*l(t) - 3*w(t). Let f(c) = h*k(c) + 3*z(c). What is f(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102212121 + 12?\nAnswer: 102212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262 + 485. Let w be 18\/(-6) - y*-1. What is w rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h = 2744. Let x = -393 - h. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9743.\nAnswer: 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9760 = 46*o + 78*o + 120*o. Let h(i) = -26*i**2 + 1. Let v be h(-1). Calculate the remainder when o is divided by v\/(-2) + (-2)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40401, -44861, -49321, -53781?\nAnswer: -58241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3 + 0*m**2 + 4*m**2 - 5 - 3*m**2. Let r be y(-2). Does 13 divide -1 - (-28 + 0)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 510\/24 + -10 - 11. Let x be 1 - 0 - (-26)\/(-18). Which is the fourth smallest value? (a) f (b) 5 (c) -0.5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7256541?\nAnswer: -7256541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -3) + -5 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -450, -888, -1316, -1728, -2118?\n\"Answer: x**3 - x**2 - 442*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.40105 + -0.10105. Let v = 0.1 - 0. Which is the nearest to -0.2? (a) 1.4 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, g: 2}. What is prob of picking 1 g and 3 n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 274 + -189. Suppose 0 = 9*d - 230 - a. What is the remainder when d is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**8\/9240 - q**6\/1980 + 7*q**3\/2 + 12*q. Let f(h) be the second derivative of n(h). Factor f(j).\nAnswer: 2*j**2*(j - 1)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - y - 12, -2*y + 11 = t - 13. Suppose 0 = -7*f - f + t. What is the third derivative of -5*x**2 + 26*x**f - 77*x**4 + 80*x**4 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwuuuuuuu. What is prob of sequence wu?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 11*m - 136. Let q be c(-19). Suppose 0 = -4*n - 5*g + 184, -4*g + 0*g + q = 0. Solve -n = -r + 5*w - 18, -4*r + w + 16 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -48. Let u(p) = -p**3 + 4*p**2 - p + 1. Let t be u(3). Let q = t - 2. Which is the third smallest value? (a) r (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4\/3 + 11*i**3\/3 - 3*i**2 - 14*i\/3 + 8\/3 = 0?\nAnswer: -1, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -210, -476, -858, -1362, -1994, -2760?\nAnswer: -3666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106214 and 4117?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 25*t = 24*t - 179928. List the prime factors of t.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -69, -85, -117, -171?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 11*f - 12. Let i(l) be the second derivative of 0 + 2\/3*l**3 - 3\/2*l**f - 4*l. What is the derivative of i(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**4 + 12*h**3 - 8 - 10*h**3 - 9*h**4 + 19*h**4 - h**2 to the form b + x*h + q*h**3 + d*h**2 + m*h**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -30. What is the derivative of 20 - j*z**2 - 224*z + 224*z wrt z?\nAnswer: -40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from {y: 3, n: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 + 0*h**4 + 29*h**3 + 5 - 33*h**3 to q*h + v*h**3 + z*h**2 + y*h**4 + w and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7601.498 - -7633. What is g rounded to 0 dps?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 - 4*a**3 + 7*a + 5*a**3 + 2*a - 2 in the form m*a**2 + q*a + l*a**3 + k and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194353 is divided by 48587.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -0.41903\nAnswer: 0.335224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 2*b**4 - 2*b**4 + (-3*b + 5*b**5 + 3*b)*(0 - 9 - 10) - b**5 + 0 + 0 + (-8*b**2 - 21 + 21)*(2*b**2 - 2*b**3 - 2*b**2).\nAnswer: -78*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(76) - sqrt(76) - sqrt(76))**2.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, 3, 11, 13, 3, -25, -77, -159?\n\"Answer: -g**3 + 6*g**2 - 3*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 285d (base 16) to base 7\nAnswer: 42061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 + 43 - 29) + (-1)\/5. Which is greater: l or -211\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 38. Let q = t + -12. Let l(i) = i**3 + 7*i**2 - i - 7. Let g be l(q). Solve g*y = 2*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, -1, -306, -45 in increasing order.\nAnswer: -306, -45, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 8\/(-44) - ((-2126579)\/143 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3866, 3982, 4110, 4256, 4426?\n\"Answer: q**3 + 109*q + 3756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:28 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -9 - -10) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/((-14)\/(-24)) + 2 + 3. Suppose -u = -p - 18. What is the remainder when 55\/(-5)*-7 + 1 + p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20377 - -27412. Calculate the greatest common factor of 210 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -345 and 118.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -53*p**2\/2 + p - 3. Let v be h(-1). Suppose f - v = -f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*k + 15 = 0, -4*m = m - 0*m + 5*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/108*(-12)\/9*(-1)\/(-8)*-4?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 20) + 12 + (69 - 5 - (0 + 3)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/5*10\/4. Suppose -1 = -2*n - 4*h + 7, h - 20 = -5*n. What is the third derivative of 5*k**n + k**2 + i*k**5 - 5*k**4 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eceddcdexededxxdxd. Give prob of picking 1 e and 1 c.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 73 = -4*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 o when three letters picked without replacement from {u: 4, o: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319066 and 23606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 1. Let y(n) = -6*n - 7. Determine 5*f(t) + y(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1241 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 72\/355 (b) -2\/5 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -52*j + 1. Let o(u) = -104*u + 8. Let i(p) = -7*g(p) + 3*o(p). Is i(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18873 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 387984926 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6 + 0 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y**3 - 11*y**2 + 9. Let g be ((-4 - -5) + 2)\/1. Suppose g*b = 5*b - 12. Let l(i) = 5*i**3 - 6*i**2 + 5. Calculate b*d(s) - 11*l(s).\nAnswer: -s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2\/6 + 3938*p\/3 - 2625\/2 = 0?\nAnswer: 1, 7875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, 25 in ascending order.\nAnswer: -5, -3, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3224\/(-2))\/4 + -1. Let h = -171 - i. List the prime factors of h.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*q**2 - 3*a**4*q + 11*a**3*q**2 + 2*a**2*q + 2*q**2 - 21*q wrt a?\nAnswer: 24*a*q**2 - 72*a*q + 66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/14*((-5332)\/3999)\/(5\/(420\/16)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 5, d: 7}. What is prob of sequence gg?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**5\/30 - y**4\/6 - y**3\/2 + 7*y**2. What is the remainder when m(4) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10152 - -3130?\nAnswer: -4022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13983, -4, -5, 4, 3 in descending order.\nAnswer: 4, 3, -3, -4, -5, -13983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334 - 4?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 6*t - 3. Suppose 4*l - 36 = -4*c, -8 = -2*l - 0*l. Let z be m(c). Suppose -d - 4 = -3*f - 0*f, 8 = -3*f - z*d. Solve -k - 4*k + 25 = f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58441169?\nAnswer: 19, 31, 313, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64, -98, -136, -178, -224, -274?\n\"Answer: -2*w**2 - 28*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**19\/d**(-15)*(d\/(d*d**11))**(-6\/13) assuming d is positive.\nAnswer: d**(508\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9910874?\nAnswer: 2, 4955437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 0)*(-36 - 241 - 18)*(-2 + 2 - 2*s) to the form d + t*s and give t.\nAnswer: 2360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.68 + -10.88. Let z be (-32)\/12*(-6)\/(-4). Suppose -16*n = -19*n. Which is the fourth biggest value? (a) n (b) f (c) z (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 0.7 in increasing order.\nAnswer: -4, 0.7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -69. Let a be (s\/3)\/((-1)\/(6\/(-20))). Suppose 0*j**2 + 0 + a*j**4 + 0*j - 1\/5*j**3 = 0. What is j?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-32) - 4) + (-444)\/(-1776)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 - 2*r**4 + 3*r**4 + (1 - 3 + 0)*(2 - 2 - 2*r**4) - 5*r**4 + 3*r**4 + 0*r**4 + 3*r**4 - 7*r**4 - 8*r**4 - 98*r**4 - 59*r**4 + 128*r**4.\nAnswer: -41*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 316 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -2*g - 5*b, 5*g + 2*b = -3*b + 185. Let x(i) = -3*i**3 + 3*i. Suppose 6 = -13*v + 10*v. What is the remainder when g is divided by x(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*a + 51 - 2175 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*t + 4 - 0, 10 = 2*t. Let a(l) = -l**3 + 8*l**2 - 6*l. Let d be a(m). Suppose y + 3*y = 8. Solve 5*q + y = d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13297, 26596, 39895, 53194, 66493, 79792?\n\"Answer: 13299*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2905896 and 280.\nAnswer: 14529480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 50183596.83 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -62*j**2. Let n(d) = 3*d**2. Calculate m(n(k)).\nAnswer: -558*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -454*t + 10438. Determine q(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - 4*sqrt(121)*-5 - (sqrt(121) - -4*sqrt(121))*5)\/(-4*(sqrt(11) - sqrt(33)\/sqrt(3) - sqrt(11)) - (sqrt(396) + sqrt(396)*-2)).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5972 is divided by 1493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 143*y**4 + 2*y**3 + 2*y**2 - 2*y - 433. Let d(r) = -r**4 + r**3 + r**2 - r + 1. Let o(p) = -2*d(p) + h(p). What is the derivative of o(j) wrt j?\nAnswer: 580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 - 2*j**2 + 0*j**2 + 4*j**2. Let m be s(2). Which is the closest to -1? (a) m (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Suppose -7 + l = -3*a. Differentiate 1 + a + 0 + t**4 with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59449*m**3 - 142058*m**3 - 109530*m**3.\nAnswer: -192139*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-53 - -5)*(-1)\/2. Let s = -184 + 299. Suppose 0 = 5*v + 5*k - s, -3*k = -5*v - p + 179. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.41 - -16.4099098. What is j rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 104\/18975 and -77\/2208.\nAnswer: 607200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 4, m: 2, j: 1, x: 2}. Give prob of picking 1 m and 1 x.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s = 4. Let z(o) = 2*o**2 + 4*o - 2. Let v be z(-3). What is the nearest to 1 in s, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38140 = 1492*m - 9630 + 13266 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -48*i - 15. Let o(w) = 12*w + 4. Give -15*o(y) - 4*p(y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1209743 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3 - 17 = 0. Suppose -h + 5 = 0, -z + 23 + 49 = -h. Let j = z - 77. Solve s + j*s + n = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2659, -5518, -8647, -12172, -16219?\nAnswer: -20914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18592, -37334, -56076, -74818, -93560, -112302?\n\"Answer: -18742*n + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (266\/(-6))\/(-1) - 162\/(-243). Solve 0 = 183*m - 174*m - u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*m + 64 + 41 - 144 + 35 to the form j*m + r and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3324*8.3\nAnswer: 27589.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 18907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2941190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/15 - 31\/60. Let l be 2*(-1 - 0)\/2. What is the nearest to y in l, 5, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001475804 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143478 - 0.02.\nAnswer: 143477.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246962 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8987.580837 + -8991.551. Let r = 3.97 + c. What is r rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus -1850256293?\nAnswer: 1850256269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35686464 by 540704.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = l + 2*w, -5*l + 761*w + 760*w = 1522*w + 125 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*-1)*-4 + sqrt(425)*-5 + sqrt(17) + 0 + -1.\nAnswer: -20*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*r*y**4 - 21*r*y**2 - 12308*r with respect to y.\nAnswer: 248*r*y**3 - 42*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(-1 - 1) - 0) + 5. Suppose -2*a = -5*z - 0*z - 31, 5*z + 16 = -v*a. Let r(s) = s + 3. Determine r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.6618734 rounded to the nearest integer?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01076448 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/20 + m**4\/2 - m**3\/3 - 7*m**2\/2 - 2*m. Let f be c(-6). What is the common denominator of 0 + f\/(150\/(-27)) and -4\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*g + 12, 5*g = -2*y + 2 + 6. Suppose -4*h + y*z + 192 = 0, 98 = 5*h + 5*z - 132. What is the remainder when 91 is divided by h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4)*g**(-7)*g)\/(g\/g**(-2\/3))**(-2\/13))**(-8))**(-29) assuming g is positive.\nAnswer: g**(-88160\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -82. Suppose q - s - 44 = 0. Suppose -5*p = 2*z - 3*z - q, -4*p = -z - 53. Calculate the smallest common multiple of 7 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 437 + -436. What is the smallest common multiple of l and 24\/(3 + -1) + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = 0. Let f = 4808 + -4804. Factor 2\/7*r**f + 0*r**2 + 0 - 2\/7*r**3 + z*r.\nAnswer: 2*r**3*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95 in -1\/16, 2\/19, 13, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2777, -552, 4, -2 in increasing order.\nAnswer: -552, -2, 4, 2777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-nine quarters of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 1. Let y be s(-1). What is the tens digit of (-1664)\/(-65) + y\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*d = -v + 18, 0 = 2*v - d - 9. Suppose -74 = f - 6*f + v*a, a = -2. Let t = 16 - f. Solve -t*n - 9 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375662 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 397 and 10?\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/292680 and -89\/211380.\nAnswer: 3804840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -832 - -7499\/9. What is the common denominator of 2 + (-14)\/(-42) + (-71)\/30 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, 261, -1 in decreasing order.\nAnswer: 261, -0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 25*x + 10 = -13*x. Solve x*f + 16 = -3*t, 9*f - 10 = t + 13*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21634 and 1508?\nAnswer: 562484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 120 - 109 + 2*x**4 - 15*x**2 - 9 - 5*x in the form a*x**4 + n*x + i + f*x**2 + o*x**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*u = 20, -5*i - u + 2*u - 4 = 0. Solve i = -5*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 24*v + 54.\nAnswer: 2*(v + 3)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 980 + 126 + 1613 + 2974*n wrt n?\nAnswer: 2974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -18*i**2 + 7*i - 8. Give m(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five halves of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42446966.44 rounded to the nearest ten thousand?\nAnswer: -42450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:23 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 7. Suppose 0 = -6*v + 5 + j. Let g(y) = -2*y + 22. Let b(r) = r - 11. Let z(m) = v*g(m) + 10*b(m). Differentiate z(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10\/7 + -153\/112. Are z and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/((-20)\/(-60)). Sort 2\/11, 2, m in decreasing order.\nAnswer: 2, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 3. Let q(l) = -1502*l - 3 - 18 + 1504*l. Suppose 5*v - 17 - 28 = 0. Let i be q(v). What is f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from cwieiw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2868346*16\nAnswer: 45893536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 698831439 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17250036 is divided by 1219.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/11 + 30771032*l**2\/11 - 118357051293128*l\/11 = 0.\nAnswer: 0, 7692758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*a**2*n + 960*a**2 + 9*n**3 wrt n.\nAnswer: 23*a**2 + 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 3*y + 4. What are the prime factors of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148*o**5 - 181*o wrt o?\nAnswer: 2960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3\/156896?\nAnswer: 3\/156896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 2 + 72*o**4 + 75*o**4 + 2*o**2 - 145*o**4 to the form l*o**3 + f*o**2 + n*o + m*o**4 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 3, z: 13, h: 1}. Give prob of picking 2 z, 1 h, and 1 i.\nAnswer: 39\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 + -132. Find the second derivative of -19 - u + u**3 + u**t + 3*u**2 - u**3 + 11*u**3 wrt u.\nAnswer: 72*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -395 + 147. Let w = 248 + s. Which is smaller: w or -2\/451?\nAnswer: -2\/451","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 506 - 330 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = 5*j, 0 = -2*j + 6. Let b be (-6)\/(-4)*f\/(-3). Suppose -2*m + b*m = 30. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8649 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 1, 0 = 13*y - 8*y + 2*z + 2. Solve -66*f + 61*f = y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27\/((-918)\/85))\/((-10)\/56). Let k(q) = q**3 - 3*q**2 - 153*q - 11. Give k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (22 - (13 - 0)) + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3234 and 17004570.\nAnswer: 833223930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eewa when four letters picked without replacement from {a: 3, w: 9, e: 2, r: 4}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 7*r - 2*r + 1803, -l + 4*r = 286. Let g = 757 - l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 588 and 120?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/8, -2\/5, -0.0382, 1\/4, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2628 and -403.\nAnswer: 1059084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 - 207. Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1000?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-9 + 17)) + -3 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 470084.\nAnswer: 5170924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than -4409?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1335*q. Let k(z) = z - 16. Let v(b) = b - 24. Let d(m) = -3*k(m) + 2*v(m). Determine g(d(w)).\nAnswer: -1335*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(847) + 0) + 2.\nAnswer: -44*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32630 + 33102. Calculate the greatest common factor of f and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 + q + 1. Let z(y) be the first derivative of -y**4 - 5*y**3\/3 - 5*y**2\/2 - 5*y + 635. Suppose 0 = -5*m - 26 + 1. Determine m*d(x) - z(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4414 - -4419. Solve 2*u = 3*u + m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7895726 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: Two letters picked without replacement from {q: 1, s: 2, r: 2, h: 1}. What is prob of picking 1 r and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 + 1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2924 by 13.\nAnswer: -2924\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 5*m + 6. Let r be (1 + -4)\/(9 + -8). Let n(a) = 4*a**2 - 9*a - 11. Determine r*n(j) - 5*g(j).\nAnswer: -2*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 595, -6, 5, -5, -4, 2 in decreasing order.\nAnswer: 595, 5, 2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -286, -283, -280, -277?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 11. Let j(x) = -1. Let m(r) = 2*j(r) + v(r). Find the first derivative of m(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.4 + 45.345. Let g = i + 0.055. Which is the closest to 2? (a) 0 (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -96*h + 2*h**2 + 2*h**2 + 101*h - 6 - 5*h**2. Let w(i) = i**2 - 6*i + 7. Calculate 5*j(a) + 4*w(a).\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -66.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 76946 = 4*s, -23145 = -2*s + 4*l + 15343. Is s 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 199779980?\nAnswer: 2, 5, 2699, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 14. Let h be q(6). Suppose 3*j + 18 = -h*f, 2*j + 4 = -f - 7. Is 6 a factor of 11\/(j\/(-8) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 2*x - 1. Let n be 1 + 1 - (1 - 0). Let u(z) = -23*z + 62*z - 1 - 5*z**2 - 16*z + 4*z**2 - 22*z. Give n*u(a) + m(a).\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21617 (base 10) to base 14\nAnswer: 7c41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108157937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + w - 7*t - 335 = 9*t - 26*t, 3*w + 5*t - 185 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 8 = 27. Let n(f) = -f. Let g be n(w). Let r(m) = 3*m**2 + 3*m - 7. Let q(u) = u**2 + 2*u - 4. Let a(o) = g*q(o) - 4*r(o). Factor a(t).\nAnswer: -t*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 91*b**2 - 1457*b + 23. Let y be a(16). Solve -y*n + 4*x = -12*n - 5, 5*n + 15 = -2*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.53301 centuries in months?\nAnswer: 51039.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:40 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 508 - 2 = 0. Let i(x) = -3*x. Let b be i(-14). Calculate the highest common factor of r and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*h = 248*h - 240 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 2424120685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-9)\/18). Let c be (j + -4 + 7)*2. Solve 9*b = c*b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3 - 435715*k**2 - 1742795*k - 1307085 = 0. What is k?\nAnswer: -87139, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -10757.8.\nAnswer: 10752.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1294 + 487. Let n = 879 + u. Let a = 0.9 + 0.1. Is n equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263791*d**2 - 2 + 12 - 10.\nAnswer: -263791*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5671)\/28)\/(6\/(-16)). Let s = -540 + o. Let l = -10 + 14. Which is the nearest to -1\/2? (a) l (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -24*f**2 - 2*f - 5. Let k(v) = -5*v**2 + v. Let z(p) = -5*k(p) + s(p). Let r(w) = -3*w - 3. Calculate -5*r(t) + 3*z(t).\nAnswer: 3*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/(-1482))\/(3\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-15 - (-65 + 24)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*l - 6 = 68, 0 = 2*v + 3*l - 60. Calculate the remainder when v is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224384180 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 + 1. Let j be u(-5). Let m = 5 + j. Let c(o) = 2*o**3 + 21*o**2 + 25*o - 11. Let k be c(-9). Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(224\/(-84)*3\/2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*p + q + 35, -q - 9 = -p. Suppose l = 41 - 5. Suppose 5*x - l = 4*x. Calculate the greatest common divisor of p and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13013210 - -103233?\nAnswer: -12303311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:38 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -90, -107, -110, -87, -26, 85, 258?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 + 7*x**2 + 12*x - 4. Let b(a) = -3*a**3 + 6*a**2 + 12*a - 3. Let z(v) = -3*b(v) + 2*k(v). What is the hundreds digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**3 - 2*x**3 + 2*x**2 - 3*x**3 as g + k*x**2 + o*x**3 + p*x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**3 + 5*u**2 + 5*u + 194. Let v(q) = 6*q**3 + 4*q**2 + 4*q + 194. Calculate -4*s(x) + 5*v(x).\nAnswer: 2*x**3 + 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2894028, -5788144, -8682344, -11576628?\n\"Answer: -42*u**2 - 2893990*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*((-2 + sqrt(208))*-4 + -4 - -3*2*(sqrt(208) - sqrt(208)*2)))**2.\nAnswer: -2640*sqrt(13) + 187321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -75\/61 (c) 169\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 + 5 = 0. Let s be 66\/(-9)*(-3)\/i. What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 3 - 3 + (2 - 1 - 2)*(-3*x - 2*x + 4*x) + (x - 409 + 409)*(-2 + 0 + 5) - 3*x + x - x + (3 + 2 - 3)*(0*x + 2*x + 0*x) - 3 + 3 - 2*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 233*x + 5687. Give d(44).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286668 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1576656 and 12613248?\nAnswer: 12613248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 114*q**2 - 58*q.\nAnswer: 2*q*(q + 29)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**4\/8 - h**2. Let p(j) = -316*j + 633*j - 315*j. What is -3*g(l) + 4*p(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 783942 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.884 - 1.116. Let o = -36 + 41. Let a = 3.3 - o. Sort b, a, -4 in increasing order.\nAnswer: -4, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29065575 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a meter in centimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1405596, 5622293, 12650122, 22489083, 35139176?\nAnswer: 50600401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t + 531*t + 12023 = 973 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*(-7 + 10))\/((-6)\/14). Sort g, 5, -7 in descending order.\nAnswer: g, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -29, -1, 0.3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 + q**2 + 0*q**2)*(161 - 322 - 183 - 389) as i*q**2 + s*q + h and give i.\nAnswer: -1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5152*z**2 + 5136*z**2 - 10294*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1020)\/(-24)*(7 + -43 - -38)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -31*h - 16. Suppose 4*g + 158 = 142. Let o be n(g). Suppose -7*k = -10*k + o. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/3 - 19572*l - 143648694 = 0. What is l?\nAnswer: -14679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/((-7)\/(-35 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 10*n - b + 20, 5*b = 0. Let m = n + -3. Is 1\/3 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/12315 and -11\/4236.\nAnswer: 17388780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**3 - 11*q**2 + 1. Let w(r) = 6*r**3 + 10*r**2. Let l(a) = -5*b(a) - 6*w(a). What is l(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 8*f + 6. Let h be l(-5). Let n = h + 33. What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10 = 7*z. Suppose 70 = 4*h + z. Which is greater: 18 or h?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 3716?\nAnswer: -1858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3743*z**2 + 14808*z**2 - 3707*z**2 - 3710*z**2 - 3700*z**2.\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -15*v**2 - 62*v - 41. Let s be c(-3). Let b = 9 + 1. Is s less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003422055675 rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101010 - -1101000010?\nAnswer: 1010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.5 + -1. Let u = s - -20.611. Round u to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8141, -16299, -24471, -32657?\nAnswer: -40857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 + -3. Let t = 52.925 - -0.075. Let z = t + -56. Which is the closest to r? (a) 2 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + j + 12. Let o be k(0). Suppose v - n = n - o, 0 = v + 4*n - 18. Let r = -100 - -502\/5. What is the second biggest value in -0.4, r, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3655, -15317, -34753, -61963, -96947, -139705, -190237?\nAnswer: -248543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27078308 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2769 - 2768. Let u be 891\/582 + 6\/(-4). Let b = 245\/1649 - u. What is the nearest to i in -2\/5, b, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 644 = -122*h + 30*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 5\/11, -5, 0.6, -3?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 f when three letters picked without replacement from zfzzfzzz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 6:04 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28100.7 and -3.\nAnswer: 84302.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -884397\/7 < -126341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3\/7 + 39*v**2\/7 - 468*v\/7 + 108 = 0. Calculate v.\nAnswer: -21, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by 149496.\nAnswer: -61\/49832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**3 + 152280*h**2 - 1457059968*h + 147040040448 = 0.\nAnswer: 102, 18984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20661.\nAnswer: 3, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-175))\/(6\/(-14)))\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a microgram in nanograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(690\/630) + 17 - (2 + 88\/(-14)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2219427 or 62143929\/28?\nAnswer: 62143929\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 5168149.8\nAnswer: -6718594.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s. Let x(u) = u**3 + 2*u**2 - u + 6. Let p be x(-3). Suppose q + s*q + i - 27 = p, -2*i = -4. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 3, e: 1, j: 3, x: 3, h: 2}. What is prob of sequence dre?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88137*f**3 + 88128*f**3 - 176263*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38483 and 70818?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18423.25557 rounded to the nearest integer?\nAnswer: 18423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1853\/4 - 9299\/20. Let u be (-3)\/(-21) - 60\/56*2. Find the common denominator of u\/((-120)\/(-95)) - -1 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516c (base 16) to base 4\nAnswer: 11011230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 116\/8)*(-3 + 5). Suppose 35*y - d*y = 4. Solve 0 = 8*g + y*g - 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40257\/6 + (6\/(-16)*12 - -4)?\nAnswer: 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-62)\/27)\/((-10)\/(-15)). Let s = -11\/3 - l. Let j = 0.225 + -0.215. Which is the third smallest value? (a) -1 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 13*i**4 + 13*i**4 - 2 - 48*i**4 - i**2 + 14*i**4 - i**2 as f*i**3 + k + d*i**2 + m*i + g*i**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 536.8023 + -542.65. Let d = -0.8407 - j. Let g = -5 + d. Round g to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*k**3 + 0 - 39\/8*k - 5*k**2 = 0. Calculate k.\nAnswer: -39, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-7)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*u + 1, -u - 4*k - 15 = -0*u. Suppose u - 1 = 19*p. Which is the nearest to -2\/3? (a) 13 (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.4 - -48.4. What is the closest to i in -5, -0.34, -2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55913 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beb when three letters picked without replacement from bxsbbxbebbxebbbbx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3 + 5 + 0 + 1 - 2 + 2 + 5 + (-1 + 3 - 3)*(-2 + 5 - 2))*(x + 2*x**2 - x).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -1\/120*l**6 + 0*l + 0*l**3 - 1\/30*l**5 - 2*l**2 + 0*l**4 + 0. What is the third derivative of z(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l + 19. What is n(16)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*a - 27, 1 = t - 2*t - 4*a. Calculate the remainder when 68 is divided by (34 + -30)*t\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2106 (base 9) to base 7.\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 5041*d**7\/210 - 7597*d**6\/30 + 853*d**5\/60 - d**4\/4 + 890*d**2. Factor h(j).\nAnswer: j*(j - 6)*(71*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/44 and -71\/1100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -18. Let f be 1*(i\/(-7) - 1). Let r = -300 + 297. Which is the closest to f? (a) 0.5 (b) -4\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 21. Suppose 0 = 2*w - 2 - v. Let q be (102\/85)\/(1\/5). Which is the closest to 0.1? (a) q (b) -2\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -699 * -0.016\nAnswer: 11.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + ((-39)\/(-6) - 6). Find x such that 0*x**4 - 1\/4*x**5 + 1\/2 - 3\/4*x + x**3 - q*x**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 5*y - 5. Let o(c) = 5*c**2 - 6*c - 6. Let p(n) = 5*o(n) - 6*w(n). Let h(d) = 4*d**2 + 5. Determine p(h(t)).\nAnswer: 16*t**4 + 40*t**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 7 = -f, 8*f + 1353 = -q - 0*q + 1310 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a decade in months?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031 (base 13) to base 5.\nAnswer: 32422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2472 = -2*t - 22*t. What are the prime factors of t?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314731740 divided by 4?\nAnswer: -78682935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -5*h + 2*t + 2*t, -9*t - 793 = 3*h - 676 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/(-672)*(-1)\/14?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62765 divided by -12553.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (46 - 75 - -12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -106*g + 675. Determine x(8).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, r: 2, g: 5}. Give prob of picking 1 g, 1 r, and 2 k.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 4. Let c be y(4). Suppose c*p + 2 = 5*m - 2, m - 2*p = -4. Let r(b) = b**2 - 3*b - 4. Determine r(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 9 - 5 - 16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 4701220 and -0.19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2538099?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 51*f**2 - 3*f + 14. Determine d(17).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 563203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61083 + 0.2.\nAnswer: -61082.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from tttntfnetetettee.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7995.76535 rounded to the nearest 10?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 58. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7651 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 14*v**2 - 18*v + 43. What is k(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**5\/8 - 99*w**4\/2 + 417*w**3\/8 + 1191*w**2\/4 - 405*w\/2 - 399 = 0.\nAnswer: -133, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -567 + 2677. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 7:09 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(3\/(6\/8)). Let p be 2932\/28 - 4\/(-14). Let c be (-6)\/p + (-2)\/14. What is the second biggest value in 4, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31604429, 63208859, 94813289, 126417719?\n\"Answer: 31604430*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -67, -61, -37, 11?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288312149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -516.3 rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 15*d**2 - 3*d + 32. What is j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 + 48*h**4 - 468*h**3 + 1296*h**2 = 0.\nAnswer: 0, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 2607*k**3 + 5181*k**2 - 18195*k + 10404.\nAnswer: 3*(k - 1)**2*(k + 4)*(k + 867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v + 16. Let m = v + 8. Suppose 4*z - 130 = 5*q, m*z = q + 73 + 49. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65105512 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 817879.\nAnswer: 5\/817879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8 = 0, 8*v - 2*l - 13 = 9*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/540 - 7*q**5\/270 - 10*q**4\/27 - 44*q**3\/27 + q**2 - 580*q. Find h such that g(h) = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-1 - -2)\/(-1). Suppose 46 = 8*y - 26. Calculate the remainder when (1 + x)\/(2\/13) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 = -c. Let d(w) = w**3 - 8*w**2 + 7*w + 1. Let b be d(c). Let n be (-1)\/(-2) - 27\/30. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1666*h + 3*y + 7 = -1664*h, -3*y - 3 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z**2 + 18. Let u(p) = -1. Suppose n - 20 = 5*n. Let r(x) = n*u(x) + m(x). Find the first derivative of r(a) wrt a.\nAnswer: 34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + 0*b + 3*b)*(3 - 1 - 1) + 6*b - 77 + 77)*(-76*b**2 - 62*b**2 - b**2).\nAnswer: -1112*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*d - 5*p, -10*p + 14*p + 25 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 248*r**5\/5 - 5*r**4\/4 + 127*r + 1545. Differentiate n(h) with respect to h.\nAnswer: 992*h**3 - 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 59 = 39. Let z(m) = 6*m + 6*m + 3*m. What are the prime factors of z(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2452*f + 2476*f - 48. Let x(b) = -1. Let s(u) = 5. Let p(v) = -2*s(v) - 11*x(v). Let m(n) = -7*n - 4. Let t(d) = m(d) + 3*p(d). Give t(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 0.3 (b) -8 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2403270 and 29565.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8060 and -2.\nAnswer: -8062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/308 - 3\/(336\/74)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - 555\/4. What is the closest to -1 in 5, l, -0.4, 9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = -55*k + 812. Let t be 1\/(-4) - 93\/(-4). Let o = k - t. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millennium in decades?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 - -107. Suppose v*k + 3*k = 420. What are the prime factors of ((-6)\/7)\/((1\/k)\/(-1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 20*r**2 - 13*r - 42. Suppose -5*y + 88 + 52 = 0. Calculate the remainder when y is divided by h(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120 + 140. Suppose -17*y = -o*y + 30. What is the common denominator of ((3 - y) + 5)\/(168\/(-110)) and 5\/9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:35 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -2*h**7\/21 - 17*h**3\/6 + 4*h**2. What is the first derivative of y(i) wrt i?\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*v**3 - 870804*v**2 + 504457047 wrt v.\nAnswer: -207*v**2 - 1741608*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 20 = -3*i. Let s = 15 + -12. Sort -2, i, s in decreasing order.\nAnswer: i, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8763917, 8763959, 8764021, 8764097, 8764181, 8764267, 8764349?\nAnswer: 8764421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12769 is divided by 1109.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -6. Let v be (-27)\/(-6)*(-1 - z). Find the third derivative of -18*s**4 + v*s**4 + 3*s**2 - 2*s**5 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5564\/(-107))\/52*3*17.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -477*z + 5786 wrt z.\nAnswer: -477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q - 17. Calculate a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 31*p**2 - 29*p + 25. Let g be h(-32). Suppose 20*n = 18*n - 142. Are g and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24448834 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027029016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64120 and 84830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 17*h**3 - 9*h**3 - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 73?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.1628907?\nAnswer: -0.1628907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 10*n**2 - 20*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r\/(r*r**(1\/28)))*(r**14\/r)\/r)\/((r\/(r**0*r))\/r*r**(2\/3)))**(2\/35) assuming r is positive.\nAnswer: r**(1291\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*n**3*t**3 + 18*n**3*t**2 + 2*n**3*t - 2*n**2 - 436637*t**3 + 2*t**2 wrt n?\nAnswer: 330*t**3 + 108*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1037\/915 + 20\/(-150). Let f(d) = -d**3 + d**2. Let a be (-1 + -2)*6\/(-18). Let o be f(a). Put 2, o, n in ascending order.\nAnswer: o, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/13 + 3450*i\/13 = 0. What is i?\nAnswer: -1725, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161 + 2739\/17. Let t = 120.823 - -0.177. Let n = 116 - t. What is the nearest to 2\/15 in 2\/5, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/((2 - 0)\/1). Suppose -6*x + w = -2*x. What is the lowest common multiple of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - x - 1866. Let i be d(-44). Let s(o) = -760*o**2 - 114. Let a(b) = 33*b**2 + 5. Determine i*a(u) + 5*s(u).\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 0.04386 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*((g*g**9*g)\/g)\/g))\/g)\/(g**(1\/23)*g*g))\/(g**(-9\/2)*g**(-25)*g))**(-16) assuming g is positive.\nAnswer: g**(-6056\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b. Let i be a(1). Let h(t) = -13*t - 32. Is h(i) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - -0.3. Let l(f) = -f**3 + 9*f**2 + 7*f + 22. Let u be l(10). Let r be 696\/(-756) + u\/(-7). Which is the nearest to r? (a) 0.1 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/3 + 140*f**3 + 10046*f**2\/3 + 21076*f + 53603\/3 = 0 for f.\nAnswer: -11, -1, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9057*z - 27 - 4392*z - 4447*z as s*z + m and give s.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -153640043.915907?\nAnswer: -153640038.915907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28687399*a**2 - 3272*a + 1489?\nAnswer: 57374798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -32. Solve -5*k = -h - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/5 - 6*p**4\/5 + p**3 + 54*p**2\/5 - 4*p\/5 - 24 = 0 for p.\nAnswer: -5, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 10*x - 122. Let q(i) = -10*i + 121. Let a(s) = 3*k(s) + 4*q(s). List the prime factors of a(5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 28036 = -5*q + 28107, 5*q - 43 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 5369*v\/5 + 43016\/5.\nAnswer: -(v - 5377)*(v + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/8 and ((-2)\/60)\/(1 + (-44142)\/8890).\nAnswer: 30216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 39*c**2 - 48286*c + 48295. Give l(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 1032*t - 15030.\nAnswer: -2*(t - 501)*(t - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.1, 2, -1\/6, -21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1073 + 1496. What is the remainder when b is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798 - 768 = 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39909178, -79818355, -119727532, -159636709?\n\"Answer: -39909177*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((5\/(-4))\/((-3)\/(-36)))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -96215 rounded to the nearest 1000?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*v = -3*a - 14, -4*a + v = 13. Let h = 6 - a. Suppose -5*r + h*n = 3*n - 1850, 0 = 5*r + 3*n - 1874. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33229913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3488466 by 3.\nAnswer: -1162822","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16904 = 10*q. Let m = q + 6896. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-144)\/28)\/(8\/(-84)). Solve u = 57*k + 339 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49485494?\nAnswer: 2, 241, 102667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5194 and 212.\nAnswer: 10388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -19. Let j = s + 15. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56\/2 - (-3)\/(-1) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + m**3 - 4*m**3)*(3*m + 2*m**2 - 3*m) - m**3 + m**3 + m**5 + (2*m - 5*m + 0*m)*(897*m + m**4 - 897*m) + 4*m**3 - 4*m**3 - 2*m**5.\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3575)\/(-100))\/143)\/(((-810)\/(-8))\/9)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 1. Calculate t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19390*b**5*m - 6*b**2*m - 1560*b*m wrt b?\nAnswer: -1163400*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**4. Let h(q) = -14*q**4 - q. Let r(a) = 9*f(a) + 4*h(a). Find the second derivative of r(g) wrt g.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*l + 4*j = 290*l + 25, 4*l - j = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -47. Suppose -5*k - 4*y + 6 = -2*y, 5*k + 12 = 4*y. Suppose k = -3*u - a + 9. Solve -3*d - 3*w = 6, -4*w - 4 = -u*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1930 and 78830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 0.4 (c) -2\/15 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5525 - -5520. Let n(a) = a**3 + a**2 + a + 1. Let r(h) = -6*h**3 - 5*h**2 - 10*h - 5. What is y*n(g) - r(g)?\nAnswer: g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 12*i + 178135. Let d = i + -15627. Round d to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + -1.5. Let r = 124.8 - 110. Let j = -15 + r. Which is the smallest value? (a) 5 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 739402 and 81656.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose c*y - 634381 = 325619. Suppose 4*a - y = 8*a. Round a to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(36)\/(sqrt(12)*1).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.17 * 2.\nAnswer: -150.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 + 48*y - 44. What are the prime factors of f(-32)?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/3 - 210*y**4 - 32141*y**3\/3 + 1892*y**2\/3 + 32564*y + 64288\/3 = 0.\nAnswer: -574, -56, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/9 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 7*d**2 + 5*d - 6. Let n(f) = f**2 - 6 + 2*f**2 - 5*f**2 + f**2 - 9*f. Let k be n(-9). Give x(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + 28. Let n = -52 + a. Calculate the remainder when 163 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/50)\/(2\/((-16)\/(-4)) + -2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 3)*(-y + 4*y - 4*y) - 3*y - 4*y + 6*y)*(-39*y - 53*y - 14*y).\nAnswer: -318*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 54509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v - 12. Suppose -2*j - 148 = -5*d, -d + 5*j + 48 = -0*j. Suppose -3*s = -8 - d. What is the least common multiple of t(2) and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + b - 14 = 13, 2*o + 31 = 5*b. Let w(d) = -3*d - 22. Let q be w(o). Sort 3, 1, -1\/2, q in descending order.\nAnswer: 3, q, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(((w**(2\/27)*w)\/w)\/w*w)*((w\/((w**5\/w)\/w))\/w)\/w*w assuming w is positive.\nAnswer: w**(-56\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doooqqoqqood. What is prob of sequence qdqo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41002287 less than 4.7444?\nAnswer: -41002282.2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458208, 458207, 458206, 458205, 458204?\nAnswer: 458203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by 2\nAnswer: -201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(((j\/j**(-1\/5))\/j)\/j))\/j)\/j)\/j**(-4\/3)*j**(-4\/9)\/(j\/j**2) assuming j is positive.\nAnswer: j**(76\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 2*x - 3*x)*(116*x + 658*x + 125*x)*(-3 + 2 + 3) as o*x**2 + l + r*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k + 9*k + 0*k**2 + k**2)*(-3*k**2 + 2*k**3 + k - k).\nAnswer: 2*k**5 + k**4 - 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 6*k + 4*k + 24*k - 3*k - 10*k + (-1 + 1 - 2*k)*(7 - 3 - 2).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. Suppose 5 = 6*b - 7. Put f, 0, b in ascending order.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56701*m + 37899*m + 18825*m.\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 41385?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1177721*s**2. Let g(c) = 4*c**2. Calculate f(g(t)).\nAnswer: -18843536*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*b - s, 3*b + 25*s + 3 - 7 = 17 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-34)\/255)\/(9\/((-3186)\/(-4)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = -2*k, -1016 = -4*l + 3*k - 1020. Solve -l*v + 33 = 5*h, 8*v - 12 = 5*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)\/(sqrt(11) + sqrt(44)) + 1 + sqrt(6300) + 1)**2 - (sqrt(70) - sqrt(70)*1*-5)\/(sqrt(120)\/(sqrt(72)\/sqrt(6))).\nAnswer: 118*sqrt(7) + 6731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*b**3 + (-1 + 1 - 2)*(0*b**3 - 2*b**3 + 0*b**3) - 4 + 4 - 3*b**3 + 2*b**3 + 3 - 3 + (0 + 4 - 2)*(-2*b**3 + 4*b**3 - b**3).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187561*w - 187572*w + 562689*w - 187567*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 less than -1.68?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2. Let y(m) = -3*m**2. Let c(i) = -5*o(i) - 3*y(i). Let d(a) = 0*a - 2*a - a + 2*a. Calculate c(d(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1008) - (-1 + sqrt(1008) + -4))*3)**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 36300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**3 - y**2 - y - 5. Let f(p) = -2*p**3 - p**2 - p - 2. Determine -5*f(m) + 2*x(m).\nAnswer: 2*m**3 + 3*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 32 = 2*i - 3*x, 2*x = 4*i - 26. Let d(y) = y + 7*y + 0 - i. Is 14 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11+78038.881\nAnswer: 78027.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 1520922856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -6)*(-1)\/2. Suppose 4*m + 56 = 2*a, 5*a - 68 = 4*m - l*m. Let r be (27\/m)\/((-12)\/32). What is the highest common divisor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66540 + 66539.399995. Let l = 0.6 + h. Round l to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122388288 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 171529411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2548740 - 2548713.34099. Let y = -26.74 + s. Round y to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*q = 3*n + 31, -3*n - 4*q = -29. Let j be (62\/(-3))\/((-2)\/n). Suppose 4*i - j + 3 = -3*f, 2*f + 5*i - 14 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 33*z**2 + 273*z**2 - 2 + 82*z**2 - 387*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 less than 0.85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*v + 54288, 6 = -4*v + 22. Let n = -607837\/56 + t. Calculate the common denominator of 73\/98 and n.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/17 - (-75)\/25\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-117 - (-12 - 1)) - (-25 + 13)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 - 61 = 0. Let f be (1 - -1) + (-6)\/9*-3. Suppose 5*t + 17 = -5*h + 117, -2*h = -f. Calculate the remainder when n is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 17 = 3*f. Suppose 2*r = 2*n + f, 2*r + 4*n - 12 = 3*n. Suppose -16 = u - r*u. What is the greatest common factor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354 - ((-44)\/14 + 43\/301).\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -9*l + 5*h, -2*l + 3*h = -l - 59 + 44 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 26*y - 25*y = -28, -2*z + 2 = -4*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 717929 (base 14) in base 15?\nAnswer: 508163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2*d - 4. Suppose -2*h = h - 12. Let s be i(h). Suppose 0 = s*f + 43 - 103. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(2673) - (sqrt(2673) - (sqrt(2673)*1 - sqrt(2673)))) + sqrt(99)\/sqrt(3)*2)\/((sqrt(3) + sqrt(192))*-5).\nAnswer: -sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*t = -2, s = -2*s + 5*t + 20. What is the second derivative of 14*q - s*q**2 + 9*q**2 - 5*q wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/156)\/(174\/30160*-26)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 185 in -1, 0.5, -2\/15, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4, 682 in increasing order.\nAnswer: -5, -4, -1, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8727643 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 447 + 599?\nAnswer: 9e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357 and 62160.\nAnswer: 1056720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33e - -2?\nAnswer: -33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1169006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**3 + 3*w**3 + 11*w**3 + 6 + 10*w**3 + 0.\nAnswer: 5*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + 2*f)*(1 + 1 - 1)*(1 - 2 + 0).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 348 - 337.06. Let n = m - -0.06. Let s = 11.0000088 - n. Round s to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r + 130 = 0. Suppose l - 46 = -4*u, 3*l + u - 145 + 40 = 0. Calculate the remainder when l is divided by (3\/(-6))\/((-1)\/r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/120 + 7*u**5\/60 - u**4\/8 - 11*u**3\/2 + 66*u**2 - 2. Let z be c(-6). Put z, -2, -4 in decreasing order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 487.5*2247.1\nAnswer: 1095461.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*i + 8240 = 146*i - 54*i. Solve 115*o = 125*o - i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 4 + 323 + -363?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -675 + 749. Let j = 90 - 53. Calculate the greatest common factor of z and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 1a068?\nAnswer: 1a06a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + k = 12793, -4*g + 2*k + 17068 = -2*k. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-10206)\/(-216))*((-21)\/6)\/(-7).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1726 divide 80564974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.6, 0.09 in ascending order.\nAnswer: -0.6, 0.09, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 36. Let n(y) = y**2 - 6*y - 6. Give n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -243 + -162?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1889 = 5*h - 6739, 3*h = -5*l + 2910. Is h a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145\/283 in 5, 0.1, -1, 2\/21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:11 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.003 and -217.\nAnswer: -0.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 3*t**2 - 3*t - 2. Let g be n(-4). Let x be 12\/9*9\/g - -2. Suppose x = -c - 0 + 25. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14)\/((-730)\/(-511))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19 + 7)*1\/(-2). Suppose 4*u - 20 + 4 = 0. Suppose -3*j + u = -j. What is the greatest common divisor of j and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -0*t - 3*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 24. Let x be r(-7). Suppose 5*m + 2*y + 18 = 2, 0 = 4*m + x*y + 20. Let k = -2 - -2.5. Which is the nearest to 1? (a) -5 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*s + 61967, -64*j - 61949 = -65*j - 4*s. List the prime factors of j.\nAnswer: 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/37241 + 506068061\/595856. Let t = v - 849. Let w = t - 739\/112. What is the common denominator of w and -13\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 - 58*p - 69. Calculate the smallest common multiple of n(-13) and 1407.\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k. Let z(a) be the first derivative of a + 0*a**3 - 1\/12*a**4 - 2 + 0*a**2. Let o(l) be the first derivative of z(l). Calculate q(o(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 455 - 421. Suppose c*d + 279 = 65*d. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 15) + -33 + 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 33 - 9. What are the prime factors of (17\/4 + h)*8?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8662 or 8663?\nAnswer: 8662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x - 15. Let v(p) = 121*p**2 - p + 11. Is v(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 38. Let d be w(-12). Suppose -d = -g + 13. Let a = g - -6. What is the remainder when a is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 + 3*s**2\/2 - s + 1. Suppose 13 = 4*p + 5*i, 31*p - 5*i + 7 = 32*p. Let g be l(p). Is 2 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(18\/2 - 6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/27 - 82\/(-3). Suppose -4*r - 4*l = -b, -4*r + 2*l + 3*l + 1 = 0. Suppose -64 = -r*d - 20. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 5, 168, 109, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/7)\/s**(3\/2))\/(s*s**2*s**6))\/((s**(1\/4))**36*(s\/(s\/(s\/(s*s**(-2\/3)))))**0) assuming s is positive.\nAnswer: s**(-279\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 2. Suppose -3*i + 5*j = -2 - 2, 3*i + 5*j = 14. Suppose -6 = i*m + 3*o, 5*o + 26 = 2*m - 5. Let w be c(m). Which is greater: w or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81\/7 + -155\/14. Let g(z) be the first derivative of 8*z - 1 - k*z**2. Calculate g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/14)\/(30\/(-432)). What is the highest common factor of 2826 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -4, -5, 4782, 52 in decreasing order.\nAnswer: 4782, 52, 2, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -16 + 4*k + 4*k + 2*k + 19. Let p be c(2). Suppose 0 = -3*u - 2*f + 58 - p, -4*f = -5*u + 29. Sort -2, -3, u in increasing order.\nAnswer: -3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + -10 + 13)\/(-1). Let r(j) be the first derivative of -16*j - 9\/2*j**4 + 20*j**i - 2 - 4*j**3. Factor r(b).\nAnswer: -2*(b + 2)*(3*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1908))\/(((-560)\/(-32))\/35)*-4?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19139575 is divided by 87?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t**(-1\/2))\/(t\/(t**0\/t))**(-37) assuming t is positive.\nAnswer: t**(159\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-12))\/(10\/30)*8\/154.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 31*r**2 + 7*r - 15. Is q(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s + 59. Let y be x(-11). Let n(j) = -10*j - 1. Let z be n(y). Are 68 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3688, 3696, 3704?\n\"Answer: 8*f + 3680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1370854 or -1370856?\nAnswer: -1370854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.179? (a) -5 (b) 1 (c) -0.2758\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 2.98, -2, -2\/39, -5, 419?\nAnswer: 2.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 13. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2096913*h**5 - h**4 + 6*h**2 + 152080*h - 2?\nAnswer: 125814780*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468) + sqrt(468) + sqrt(468) + 3 + (sqrt(468) + 1)*-4)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118, -114, -108, -100, -90, -78, -64?\n\"Answer: s**2 + s - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -23. Let i = p + 6. What is the closest to i in -3, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*g*q*t**4 + 43636*g*q*t + 39*g*q + 241*g + 2*q + 2 wrt t.\nAnswer: -52*g*q*t**3 + 43636*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**3 + 1672*g - 1672*g.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.30354 - -0.2975.\nAnswer: -0.00604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5703, 8 in decreasing order.\nAnswer: 5703, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1927, 1928, 1931, 1936, 1943, 1952?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**3 - 8*h + 5. Is c(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(50) - sqrt(50))**2 - sqrt(50)) + 1*sqrt(50)*4 + -3*(sqrt(198)\/sqrt(11)*-4)\/sqrt(9).\nAnswer: 27*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.263 * 1.7149.\nAnswer: -0.4510187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66098 - 1?\nAnswer: -66099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (3 - 1)*(-86)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -704*b**2 + 10*b**5 - 1669*b**2 - 30*b**5 + 755*b**2 wrt b?\nAnswer: -1200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(1\/8)*x\/x**5)\/((x*x**(1\/2)*x)\/x*x*x**(-1)) assuming x is positive.\nAnswer: x**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from mmogccgbcomgqogcm.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3768774640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 746415919, 746415917, 746415915, 746415913?\nAnswer: 746415911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35 + -13.4.\nAnswer: -13.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*p - 52 + 12 = 597*p - 3*h, 32 = 2*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**3 - 3*l + 17. Suppose -2*t + 2 = -a, 4 = -4*a + 3*t + 11. Let s(i) = i**3 - i + 4. Let f(d) = a*h(d) - 18*s(d). Factor f(b).\nAnswer: -2*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196\/(-245)*(-20)\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -26 - 10. Suppose 2*t = w*d + 64, 2*t - 22 = -5*d + 15. What is the remainder when (-806)\/(-8) + 4\/16 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) 2\/7 (c) 0 (d) -2\/16809 (e) 3 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h**2 + 296050*h + 98684 = 0.\nAnswer: -1\/3, 49342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -2262.\nAnswer: 7\/2262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/3465)\/(2\/(-115)) + (-2)\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 32*g. Let l(m) = 6*m - 2. Let x(j) = 19*j - 7. Let p(w) = -7*l(w) + 2*x(w). Calculate p(a(b)).\nAnswer: -128*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u**2 + 2*u. Let p be q(-1). Suppose 2*z - 3*z + 36 = p. Suppose s = z - 20. Calculate the least common multiple of 12 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, c: 1, t: 3, m: 1, u: 6}. What is prob of picking 1 t and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1221*c = -4265 - 7945 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2 = -28 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359*y - 509*y - 2257*y - 14841 = -109716 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*z + 20 = -113*z. Let p(n) = -n**2 - 13*n - 20. Let f be p(z). Solve 0 = 3*y - 5*l - 12, 2*y + 3*l + f = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 3\/4 (c) -17992.8 (d) -2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2527 - -2526.93. What is the nearest to 1 in 2\/5, p, 21\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 215.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1620) + -1*sqrt(1620)*6))\/((2*sqrt(810)*4 - sqrt(810))*-2))**2.\nAnswer: 25\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1310888, 2621744, 3932600, 5243456, 6554312, 7865168?\n\"Answer: 1310856*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v - 1. Let h(z) = -z**3 + 12*z**2 - 33*z - 6. What is 6*c(i) - h(i)?\nAnswer: 7*i**3 - 12*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7*t + 36 = 0. Calculate the smallest common multiple of t and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109286621?\nAnswer: 73, 199, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15984 and 11709168.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*o + 2*o + 2*b, 4*o = -2*b + 118. Suppose -3*h + 4 = -o. Solve -l - 3*q + h = 0, -2*l + 2*q - 4*q = -14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -15*c + 17. Find j, given that -40 + 18 - c - 23 + 30*j - 2*j**2 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -130100.2 and -0.068.\nAnswer: 8846.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -340*o**2 + 1359*o - 9. What is n(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 3*g = 2*b - 461 + 446, -3*b = 2*g - 35 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-4\/23)\/z)\/z)\/z*z*z*z\/(z**18*z)*z*z**(-4\/7)*z**(2\/11)\/z assuming z is positive.\nAnswer: z**(-32876\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*(f\/f**2*f)\/f)\/f*f*f*f*f\/(f**12*f))\/(f*f*f**(6\/13)*f*f*f*(f**(7\/4)*f)\/f))**(-35))**15 assuming f is positive.\nAnswer: f**(469875\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 233840 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a factor of 83131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.06 in 344, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26 + (18 - -4))*(4 + (-36)\/8). Let 6\/5*j**f - 8\/5*j + 0 - 1\/5*j**3 = 0. Calculate j.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2484 divided by 27\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 605\/3 + -200. Let s be (3\/18)\/((-2)\/(-2)). Which is the closest to 0? (a) m (b) -1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1543067 (base 8) to base 12.\nAnswer: -194b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from zhzcnhhjh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148198 is divided by 74059.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r. Let x(y) = 403*y**2 - 468*y + 156. Let a(s) = -2*s**2 - 9*s + 3. Let k(d) = -156*a(d) + 3*x(d). Give k(w(i)).\nAnswer: 38025*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 10*o - 78*s + 82*s + 13, -13 = -3*o + 5*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24421018*u**5 + 11253807*u - 2?\nAnswer: -488420360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 0*c**4 + 2\/3*c**3 + 0*c**5 + 0*c**2 + 0*c - 1\/6*c**6 + 1. Find the third derivative of i(z) wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139792.\nAnswer: 2, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.041 less than 268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493 - 114 = -s. Let q(c) = -c**3 - 4*c**2 - c - 1. Let n be q(-4). Suppose -n*d + 26 + s = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -19*c + 18. Let w be ((-4)\/3)\/(-2)*c\/(-4). Suppose -3*a = 4*u + 14, 5 = -5*a - w*u - 0. Solve -3*i + 0*z - 4*z + a = 0, 3*i - 11 = 5*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6482, -12956, -19440, -25940, -32462, -39012?\nAnswer: -45596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -3*m + 470. What is the highest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/50 - 14\/(-10))\/4. Let j(u) be the second derivative of 0 + 0*u**4 + u**3 + 0*u**2 + u - d*u**5. What is the second derivative of j(a) wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 20844 = -20805 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -22. Suppose 34 = 4*p - 2*d + z, 2*d + 25 = 3*p. Let h be (-5)\/(1 + 14)*4\/(-6). Which is the nearest to h? (a) 2 (b) p (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26750 - -26758. Sort -23\/6, u, 4\/5 in decreasing order.\nAnswer: u, 4\/5, -23\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 + 4*j - 1. Suppose 0 = -3*s - p + 9, -p = 2*s - 6*p - 6. Suppose -s*u + 4 = -5. Calculate t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d - 20. Let r = -29 + 23. Let x be w(r). Let s be x\/(0 - (-2)\/4). What is the greatest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-9\/5)*n*n**7*n\/n**(-10)*n**3 assuming n is positive.\nAnswer: n**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11002222222 (base 3) in base 6?\nAnswer: -1422342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*u + 14 = -7, 2*f + u + 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**3\/3 + a**2 + 14*a + 212. Calculate i(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.9730444ms to days.\nAnswer: 0.000000173299125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 - 25 - 24)*(4 + 16 + 4)*(2 - 2*o - 2) in the form l + a*o and give a.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-28) + 38\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -10859*m**4\/12 - 3715*m**2\/2 - 375*m - 7. Differentiate k(j) wrt j.\nAnswer: -21718*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 33175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 7*f + 82. Let w be j(-13). Which is smaller: -177 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.28 - -4.34. Let s = j - -36. Sort s, 0, -1\/2, -0.2 in decreasing order.\nAnswer: s, 0, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264086503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26800?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25372 divided by -6?\nAnswer: 12686\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1161, -1103, -1043, -981, -917, -851?\n\"Answer: c**2 + 55*c - 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27016181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228.728l in millilitres?\nAnswer: 5228728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259 + 259.1. Is h less than -62.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 341 and 2399028?\nAnswer: 26389308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 612405, 612372, 612325, 612258, 612165?\n\"Answer: -h**3 - h**2 - 23*h + 612430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 12 = 3291*f - 3288*f, 61*r = 2*f - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001021024 to seven decimal places.\nAnswer: -0.0001021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/7))\/c)**(-1\/21)\/(c\/(c*c**(-2\/7))*(c*c**(-9))\/c) assuming c is positive.\nAnswer: c**(1279\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3 = -z. Suppose -z*j - 11 = -2. List the prime factors of (j + -34 + -2)\/(-1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -17*a - 11. Let m be p(-2). Let w = m - 18. Solve w*q = -3*o - 8, 2*q + q + 8 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0633963 - -0.0634. Round p to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-28)\/8))\/((-5)\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190312 - -277434. Let v = l - 60981. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13967*r**3 - 27906*r**3 + 13937*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5423191 + -5423178.600028. Let g = o - 12.4. Round g to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 4 + 5\/2*k**2 + 0*k. Determine q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153629256 divided by -1?\nAnswer: -153629256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*k = 5*k + 1365, -3*k = 2*a - 526. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16773 divided by 754\nAnswer: 16773\/754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Let w(i) = 12*i - 2. Let u be w(t). Suppose 5*k - 1 - u = 0. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 1. Let o(i) = 2*i**2 - 11*i + 7. Let q(d) = d**2 - 4*d + 2. Let w(n) = r*o(n) + 7*q(n). Factor w(s).\nAnswer: 3*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4778714.\nAnswer: 2, 41, 101, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 36982*o**2 + 3*o**3 + 2*o - 30561*o**2 - 4*o**3.\nAnswer: -o**3 + 6421*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*f + 2009 = -0*f, 3*h - f = 2011. Let q = -473 + h. Is 41 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31653639 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -7484.\nAnswer: -7483.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**3 + 6*d + 6. Let o(j) be the first derivative of 5*j + 3\/2*j**4 + 0*j**3 + 5\/2*j**2 + 10. Give -6*o(p) + 5*y(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -10*u - 10. Solve u*c = -c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/70 and -68\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 2) + -31 + (17 - -19)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 0, 1, 2?\n\"Answer: o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-2 - -5)*3. Let n(f) = -f**3 - 11*f**2 - 8*f + 10. Let w be n(a). Let h be 2\/(-5) - 24\/w. Which is bigger: -1\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3990 and 121296.\nAnswer: 606480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 567?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131942768 a multiple of 804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(84)*-2 - sqrt(84)))\/(sqrt(12) + sqrt(36)\/sqrt(3)*-4 + sqrt(12) + (sqrt(12) - (sqrt(48) + sqrt(12))*6)) + 5.\nAnswer: -10*sqrt(7)\/19 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - c = 8, -k - 2*k - 4*c - 2 = 0. Let t(w) = 4*w - 5 + 5 - 1 + w**2. What is the remainder when 20 is divided by t(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 32332?\nAnswer: 32332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247 - t + 6*t - 263*t**5 - t - 52 - 2*t wrt t.\nAnswer: -5260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 5 (b) 1 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let g be l(2). Let t(d) = 19*d**g - d + 1 + 0*d - 3*d**2 + 3*d. Does 4 divide t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -5\/4*q**4 + 0 - 131*q + 0*q**3 + 0*q**2. Let y(u) = 12*u. What is y(l(o))?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -2013440?\nAnswer: 2013438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22817897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 31*r**2 + 81*r + 124. Calculate a(-14).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m + 120 = 0. Suppose -38 + m = 4*p. Let b be (-3)\/((-2)\/(-4)*p). Solve 0 = z - 4*v + 2*v + 8, b*v = -2*z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*n**3*p**4 - 8*n**3*p + 2*n*p**5 + 2*n*p**2 - 4 wrt p?\nAnswer: 96*n**3*p**2 + 40*n*p**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698172927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 + 232. Let f be -3 + (-9)\/(m\/4). Do f and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1020*j - 1020*j - 2231*j**2)*(-2 + 2 - 4*j + 2*j - 1 + 1 + (0 + 0 - 2*j)*(1 - 1 + 2)).\nAnswer: 13386*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a. Let u(x) = 7*x. Let t(w) = -3*f(w) + 4*u(w). Let y(b) = -5*b. What is t(y(h))?\nAnswer: -65*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 610, 886, 1346, 1990?\n\"Answer: 92*g**2 + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03232892604 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 140. Let y = 8 + -5. Suppose -y*d + 45 = -m. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.068? (a) 0.5 (b) 0 (c) 1\/5 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 8*w + w = 400 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*u - 2649, o - 2643 = -0*o + 2*u. Let m = -959 + o. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 70, 118, 166, 208?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*f - 53*f - 260. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*2.91338.\nAnswer: 20.39366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1197 divide 5848586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6356 by 248544.\nAnswer: 1589\/62136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5 less than 118?\nAnswer: 122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/13)*i**8)\/(i*i**(-2)*i\/i**(-1\/13)*i)*i**1\/((i*i**(2\/9))\/i)*(i**(-1\/4)\/i)**(-5\/4) assuming i is positive.\nAnswer: i**(17629\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Suppose -2*p + q - 5 = 0. Which is smaller: p or 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*g + 205*g - 6*o + 30, 0 = 2*g - o + 20 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -1, 11, 2, 6, -3 in descending order.\nAnswer: 11, 6, 2, -1, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -15, -3, -2, 2 in decreasing order.\nAnswer: 7, 3, 2, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)\/z**(-3\/8))**(-22)\/((z*z**0)**25*(z*z**(-1\/4))**(3\/16)) assuming z is positive.\nAnswer: z**(-1433\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 greater than or equal to -10\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82136354033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5846, -11809, -17772?\nAnswer: -23735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -1 (c) -1\/7825 (d) -0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times -1018\nAnswer: -1323.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i = -25. Suppose -c + 4*w + 12 = c, 0 = 2*c + i*w + 24. Let b be (24\/(-2))\/(c\/1). Solve 5*m - y = -6, -2*y = -4*m - b - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 14 + (-21 - -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260430?\nAnswer: 2, 3, 5, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13817881 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255.4 - -255. Which is the biggest value? (a) h (b) 10 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185 - 1663\/9. What is the third smallest value in 4, w, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Suppose u + 4*f - 25 = 0, 5*u + 4*f - 35 = 2*f. Let g(x) = -6*x**2 - 7. Let d(j) = -4*j**2 - 5. Let n(c) = u*g(c) - 7*d(c). Calculate n(w(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -7.52.\nAnswer: 7.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/120 + r**5\/10 - r**4\/8 - 4*r**3\/3 + 3*r**2. Let y = -14 - -8. What are the prime factors of q(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 1126622.\nAnswer: 33798660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 - 4*w - 4. Let j(b) be the second derivative of -b**4\/12 - b**3\/6 - b. Let k(i) = -c(i) + 3*j(i). Is k(5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -843456*r**3 - 3203887*r**3 - 4289399*r**3.\nAnswer: -8336742*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let k = 2 - -3. What is u(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72621780\/(-620730) + 2\/(-342).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311614*h + 2310 = -311635*h for h.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0 - 1\/3*o**3 + 0*o**2 + 8*o. Let j(a) = 2*a**2. Determine j(z(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/3 - 21624*u**3 + 108838384*u**2 - 667536138904*u\/3 + 161812977245540.\nAnswer: 4*(u - 9105)*(u - 2371)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i + 12. Does 28 divide t(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 1)*(-2 + 4 - 3)*(64*d - 3 - 74*d - 45*d) to the form k + y*d and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -18\/5, 12, 2\/17, -3\/4, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 20 = 0, g - 2 = 4*b - 11. Let k be ((-24)\/14)\/(5\/(-35)). Let f = k - g. Solve 2*t = -f + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890759067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 420029?\nAnswer: -2\/420029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-35574))\/(79\/(-553))?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*k = 31 + 1, 2*h = -k + 40. Suppose 5*o - h = -3*t, t = 2*o + 4*t - 7. Solve 0 = -o*i - 3 - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*q = -18 - 11, 7*q + 39 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 84 + 76. Suppose -i - 5*k = -50, -3*i + v*k - 3*k + 250 = 0. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 6*h = 20*w - 4, -7 + 9 = 2*w - 5*h + 54 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0)*45\/(-6). Suppose 3*v + 2*r = 2*v, -5*r - g = v. Let c = v - 0. Solve 0 = 3*b - 8*b - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 = -4*n, -2*s = 2*n. Let q = s + 3. Solve -4*i + q*c - 8 = 0, 2*i - 4*i + 11 = c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91.6 - -89.6. Let g = -356 - -5342\/15. Which is the nearest to 0? (a) g (b) -1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -4, 4, 14, 26?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84276.\nAnswer: 2, 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 1. Let a(x) = -6*x + 2*x + 6 - 5*x. Let r be 82 + -82 - 1\/(1\/(-16)). Let k = -11 + r. What is k*p(f) + a(f)?\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 - 441 = 3*x. Let u = -80 - x. Is u a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/3 - 13*m**2 - m. Let q be l(8). Let d be 36\/(q\/(-7)) + 1*-4. Solve -d*p + p = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 2665 + 2569 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(15\/2)*(g*g*g**4*g)\/g)\/((g*g\/(g\/(g*g**(-13))))\/g)**(-18\/13))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*n = -82, 0*y - 5*n + 2 = y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -28. Let m = 0.2 - -0.3. Sort 4, m, r in increasing order.\nAnswer: r, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.4 + -13. Let j = -18 + 22. Let s = 7 + -4. Which is the second smallest value? (a) j (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 7*i**2 - 9*i - 5. Let q(r) = -3*r**2 - 4*r - 2. Calculate 2*b(f) - 5*q(f).\nAnswer: -2*f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 24*m**2 + 39*m - 11. Suppose 6*l - 11*l + 5*y - 40 = 0, 3*l - y = -28. Is 11 a factor of s(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w + 10 - 90 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066733469.\nAnswer: 3, 13169549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 1 + 1)*(-2 + 4 - 4) + 26*k + 9*k + 4*k.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by 21?\nAnswer: 212\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) 53.5 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-42)*-14 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 16*n**2 - 25*n - 33. Let v(p) = -p**3 + 44*p**2 - 481*p - 28. Let z be v(21). What is m(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w + 2*j - 80, -5*j = -3*w + 218. Solve 69*i - w*i - 21 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369 * 1643464\nAnswer: 606438216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = -4*y + h, -3*y + 12 = 2*h. Solve y + 18 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/25 + (-3)\/(360\/78). Which is the second biggest value? (a) 23 (b) k (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35906135 and -0.3.\nAnswer: 35906134.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -36 - 0. Suppose -3 = -3*z + 3*n + 30, 2*n = z - 14. Suppose -5*m + 4*p + 63 - x = 0, z = 2*p. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24445 + 179116.24445. Let b = v - 179187.9765. Let s = b - -72. Round s to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10733 + 10710. Sort 2, -0.2, 2\/11, 4, w in ascending order.\nAnswer: w, -0.2, 2\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*w - 145*w + 42*w + 49*w - 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18709461*1.1.\nAnswer: -20580407.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 48\/(-15))*3100\/14570.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -20. Let i be 2 - (2 + 0) - l. Let j = 47 - i. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - 4*b**2 + 8 + 32*b - 2*b**2 - 11*b. Let y(a) = -a**2 + 10*a + 4. Let j(s) = -2*c(s) + 5*y(s). What is j(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + x = -9, 48*b - 51*b = 2*x + 10 + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -217.83 and -0.987?\nAnswer: 214.99821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/16 + 1*(-1492)\/(-400). Let m = f + 1\/175. Let s = -9\/7 + m. Calculate the common denominator of -61\/9 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20282, -82324, -185724, -330482, -516598, -744072?\n\"Answer: -20679*h**2 - 5*h + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emmw when four letters picked without replacement from mmmmmwmewm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g + 211. Let v(z) = z**2 + 8*z + 7. Let p be v(-7). Is j(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8116.7067ms in hours?\nAnswer: 0.00225464075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6835 - -350. Let w = o - -823599\/127. Is w at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2 = -2*p, -2*z + 5*p + 8 = 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293374.\nAnswer: 2, 47, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b + 39. Let w = 66 + -62. Let o be y(w). Solve -2*p + 5*f + o = 0, 0*p - 3*f = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4490 and 2570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -443484*g**3 + 302167.\nAnswer: -1330452*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 3*b + 87, -2*b + 124 = 5*j. Suppose 81 = j*h - 17*h. Is (26422\/(-33))\/((-2)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {v: 1, m: 4, i: 1, t: 5, r: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**(-1\/8) assuming f is positive.\nAnswer: 1\/sqrt(f)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-2 - 3) + 5 - 2) + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 371.\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-6))\/4*(5 + -3). Let k = -45 + 42.9. Let m = k + 2.1. Which is the third smallest value? (a) o (b) 1\/5 (c) m (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/9 + 29118*o**3 = 0. What is o?\nAnswer: 0, 131031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*p**4 - 3493*p**3 - 11679*p**2 + 7 wrt p.\nAnswer: 192*p - 20958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/120 + 7*i**5\/30 + i**4\/24 - 11*i**3\/6 + 956*i**2 + 2. Determine r(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 - 89 = -5*k. Let b = k + 77. Find the third derivative of 17*g**b - 24*g**2 + 14*g**4 + 31*g**2 wrt g.\nAnswer: 744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = w + 2*u, w + 4*u - 76 = 5*w. Let g be (w\/12)\/(2\/(-8)). Solve 6 = -t - 2*f, t + 3*f = g*f + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*q + 27 - 28 = 0, 5*q = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*i = -17, 2*g + 2*i = -i + 27. Let k(v) = v**2 - 20*v - 20. Let l be k(g). Which is the nearest to -1\/4? (a) l (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*j - 15, 5*j - 10 = 4*w + 5. Factor 4\/7*c**4 + 2\/7*c**5 - 4\/7*c**2 + w - 2\/7*c + 0*c**3.\nAnswer: 2*c*(c - 1)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5095 or 5096?\nAnswer: 5095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 108. Let u = 33 - r. Find g, given that -7*g - 17*g + u*g**2 - 7*g**2 - 32 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + 15. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 0*d - 5*d)*(-d + 5 - 5)*(-37 - 39 + 57) in the form n + b*d + x*d**2 and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.09 - -0.09. Sort 16, x, 0.1, 5 in decreasing order.\nAnswer: 16, 5, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/2680 + 6281\/670. Let g(t) = -9*t**3 - 2*t**2 + 7*t - 2. Let f be g(-5). Calculate the common denominator of ((-7)\/(-35))\/(1 - f\/1090) and s.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5018398 from 8.19.\nAnswer: 5018406.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 e when four letters picked without replacement from wdewwewede?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rroooroooo. Give prob of picking 1 r and 2 o.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/60 - p**4\/24 - p**2. Suppose -2 = -i, 0 = c + 2*i - 13 - 5. What is the remainder when c is divided by f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Suppose -7 = 2*x + 3. What is the nearest to m in 0, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7079991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81585519812389 - -0.4.\nAnswer: -81585519812388.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.44*-312.81\nAnswer: 137.6364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 302. Let t = -0.05317 - 2.94683. Which is the second smallest value? (a) t (b) -1\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.3 (b) 5 (c) -6570 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = -5*n + 24, 5*o = -15. Let v = 20 + -17. Solve 4*i + 3*g - 2*g - 12 = 0, -v*i + n*g + 32 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/120 + 3*z**5\/20 + z**4\/3 + 5*z**3\/6 - 3*z**2. Calculate the remainder when c(-8) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -387 and -349997370?\nAnswer: 349996983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1716330 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + 6 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2999*l**3 - 2*l + 2620 with respect to l.\nAnswer: 8997*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zygfyyylgyyyvf. What is prob of picking 1 y and 1 g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*f**2 + 3 + 3*f**2 + (0*f - 2*f + 0*f)*(-3*f + 129 - 74 - 91).\nAnswer: 7*f**2 + 72*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-3)\/9 + (3 - -14). Suppose -u*j + 35831404 + 94128596 = 0. What is j rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.2, 238175, -0.5 in increasing order.\nAnswer: -0.5, -0.2, -2\/15, 238175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130739340.6 rounded to the nearest one hundred thousand?\nAnswer: 130700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 93*a + 324.\nAnswer: 3*(a - 27)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.40645 * -0.1.\nAnswer: -0.440645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -852 and 92171.\nAnswer: -78529692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (26 - 19 - 27).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7215.2694 milliseconds to hours.\nAnswer: 0.0020042415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 32 + -41 + 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - -3.8. Let x = 2 + -5. Let s = 0.014 - 0.414. Sort s, x, t in descending order.\nAnswer: t, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 84*k**2 - 4*k - 182. Determine a(-42).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(117)*-1*1*3)\/(6*(sqrt(729)*2 + sqrt(729))*1))**2.\nAnswer: 325\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 280.32 litres?\nAnswer: 280320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 753 - 758. Let v(k) = 49*k**3. Let u(b) = 99*b**3. Calculate j*v(c) + 2*u(c).\nAnswer: -47*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 - 2 = 0. Solve -v = -3*i - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(136\/24)*(-40)\/6. Suppose 0*t + 3*t = 2*s - 31, -74 = -3*s - t. Let u = c + s. Solve u*y = -0*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + 0 - 1 - 2)*(3*m - 31 - 1 - 5*m) to the form x*m**2 + h + d*m**3 + b*m and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -463 (base 9) to base 15.\nAnswer: -1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 3*v - 9. Let a be k(-5). Solve 2*s - a - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 4*j - 4. Let x be -2 + 12*2\/3. Calculate the remainder when 21 is divided by b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)*2)\/sqrt(4)*-1*3)\/(-4*-2*sqrt(1152)*3)*-1.\nAnswer: sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, f: 4}. What is prob of sequence ffjf?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (-34012)\/(-1617))\/(94\/(-156) - 21\/91)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-6 - (-9 - -7)) + (52 - 46) + 10\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 24 (c) 35.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 816 - 193. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/2))\/f)**(-47)\/(f**7\/f**(-3\/20)) assuming f is positive.\nAnswer: f**(-613\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from befd. What is prob of picking 1 e, 1 d, and 1 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*m + 3*m. Is m\/(-2)*(-8 + 102) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 1 - 1)*(-3*z + 3*z + 3*z)*(-908 + 28*z + 908) as w*z**3 + h + c*z**2 + g*z and give w.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 20216099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -890 - -2491. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124147.11 to the nearest 1000.\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36355793 and 11753.\nAnswer: -36344040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 1401 + 4317 = 0. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:21 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3 - -19) + (-114 - (146 + -149))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18715 bigger than 18796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (88\/(-704) - (-23)\/24). Let t be 650\/(-30) + 4\/6. Let a be (-2)\/(54\/t) + -1. What is the closest to -6 in -5, d, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 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: What is the next term in -8939, -8961, -8997, -9053, -9135, -9249, -9401?\nAnswer: -9597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 - m**4\/4 + m**3\/6 - 3*m**2 - 8*m. Let u be i(-4). Suppose u*n - 348 = 3*n. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17e (base 15) in base 16?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:21 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 15) to base 11\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 823186 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11001 (base 3) to base 6\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 13*g**3 + 9*g**3 - 3*g**3.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 5*o + 7. Let k(j) = 2*j**2 - 3*j + 4. Let h(z) = 5*k(z) - 3*x(z). Let u be h(0). Is 17 a factor of u\/(-5) + 252\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2902\/11 + -264. Let u = 0.3 - -0.2. What is the closest to x in -0.3, 2\/15, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -8, 46?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 14*b**2 - 34*b - 30. Let n be x(-16). Suppose -2*c + 1 = 4*k - 27, 0 = -n*k + c + 10. Solve -5*i = 9 + k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 6. Let x be (7 + t)\/(1 + -2). Solve -4*i + h + 14 = x, i - 11 = -2*i + h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 233, -61 in decreasing order.\nAnswer: 233, 4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = s - 49. Suppose 0 = -5*k + 15, -4*h + 23 = 2*k - 31. Calculate the remainder when s is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*n - 5100480000 = -175*n. What is n rounded to the nearest 100000?\nAnswer: 15800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2141247 = 9261247. Round l to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161)\/(-112)*(1296\/(-486))\/(6\/9)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156511 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**3 + 33. Let o(i) = 14*i. Give v(o(s)).\nAnswer: 588*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + k - 8, -3*m - k = -4*m - 2. Let o(g) = -g - 14. Let r be o(-12). Let d = m - r. Are 5 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 73 - 20 - 12*t + 3*t - 6 to f*t + m and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 1. Suppose q + q = 3*n + 15, -3*q = 3*n. Let s be 9\/4 - n\/4. Let i(x) be the second derivative of -x**3\/6 + x. Determine s*i(w) - p(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 - 38*x - 600 = 0.\nAnswer: -12, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 984618 and 2394?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2751 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.065 and 3083.\nAnswer: 3082.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*d - 1607761 = -6429132. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 2*l + 1. Let x be o(-3). Suppose -4*v + x = -5*g, -2*g = 4*v - v - 14. What is the lowest common multiple of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.3 (b) -16 (c) -0.5 (d) 2 (e) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 7*z**2 + 7*z - 4. Let g be b(7). Suppose -4*o - 3*x = -111, -2*o = -2*x + 7 - g. Suppose 0 = -4*h + o + 36. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.5 from -48941643996.\nAnswer: -48941644004.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p - 2. Let b be u(2). Suppose -b = -x - 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/96)\/(3\/(-12)))\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 204 - 149 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183 and 18954.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11\/25, -0.236 in ascending order.\nAnswer: -3, -0.236, 11\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -838494 to the nearest 10000.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-2)\/((-2)\/29) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256462645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(108))**2*-3 + sqrt(12)*-1 + -1).\nAnswer: 8*sqrt(3) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 5. Suppose c - 2*i - 10 = 0, 2*c + i = 4*c - 11. Calculate v(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/5 - 6378*s**3\/5 + 1961993*s**2 + 1156881768*s\/5 + 1147065424\/5 = 0. Calculate s.\nAnswer: -109, -1, 3244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -216 in 72\/985, -1\/3, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 e when four letters picked without replacement from {f: 2, h: 2, e: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7383 and -0.09.\nAnswer: -7383.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 13 = 4*s, 0 = 2*d - 3*s + 2*s + 4. Let x = -9 - d. What is the units digit of 12\/x*8\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 1. Let r be p(2). Let m = -217.2 - -178. Let g = m + 39. Which is the third smallest value? (a) -5 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/9)\/((-12)\/(-2250)). Let q = 514 - p. Calculate the smallest common multiple of q and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - 5 - 2*j**2 - 7 + 9 to the form k*j + n*j**3 + m + w*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n + 3312. List the prime factors of n.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80079669 rounded to 3 dps?\nAnswer: -0.801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -210583*j**3 + 3244*j - 36 wrt j?\nAnswer: -1263498*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/(-621) + 12\/(-138))\/(102\/54)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Suppose 256*f = 263*f. Let i(s) be the first derivative of f*s + 1\/2*s**2 - 3. What is i(a(k))?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - -9d?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 - k**2 + k - 1. Let f(g) = g**2 + g + 1. Let q be f(0). Let p be z(q). What is the units digit of (p\/3)\/(1\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -6*z + 3. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64580*h = -64362*h + 1090 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2647, -2643, -2589, -2461, -2235, -1887, -1393?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 68*j**4 = 0 for j.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 749*s - 771*s + 344938. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 2 + -3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -3679856\nAnswer: -3679855.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Suppose 0*y = 3*y. Suppose -n = -y*n. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 20 = 6*g. Let s be 2 + (949 - (g + 4)). Let x = s + 1016. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1678 and 1622 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (sqrt(180)*4 + -4 - (((sqrt(5) - sqrt(20)\/sqrt(4)) + -3 - sqrt(5)) + -3 + -1 + sqrt(5)))**2)*-5.\nAnswer: 1440*sqrt(5) + 28910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 9:46 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -1\/3*w**3 - w - 19\/2*w**4 - w**2 - 1. Does 19 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (1269\/99 - 4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + i**2 - i + 1. Let m be x(1). Solve 1 = n - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 315*b**3 + 8*b**2 + 8*b + 190. Let v(x) = -1573*x**3 - 38*x**2 - 38*x - 950. Let c(h) = -19*p(h) - 4*v(h). What is the derivative of c(r) wrt r?\nAnswer: 921*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(1100) - (-1*sqrt(1100) + sqrt(1100))))\/(1*sqrt(275) + sqrt(1331) + 2*sqrt(1331)).\nAnswer: sqrt(2)\/380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/36)\/(((-2 + 1)\/(-1))\/3). Let w(c) = -5*c - 1. Let v be w(-1). Put 2, j, v, 1 in descending order.\nAnswer: v, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 5:47 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 27*x = -15. Suppose 0 = -5*d + 25. Solve -2*a + a = 3, x*p + d*a = -30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x + 182. What is y(-21)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 209 = -210, 4 = -w + 3*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.3. Suppose 5*a + 4 = 24. Let q = -2849 - -2849.2. What is the nearest to m in 0, q, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 515*p + 5659. Calculate m(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*b)*((3 - 5 + 1)*(-4 + 5 - 2) - 6 + 5 + 8) + (b + 3 - 3)*(-1 + 0 + 2) - b - 2 + 2 - 2102*b + 548*b + 321*b.\nAnswer: -1249*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -353*k**2. Let p(m) = 2*m. What is x(p(d))?\nAnswer: -1412*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.043 - 6950.\nAnswer: -6949.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30411, 30451, 30517, 30609, 30727?\n\"Answer: 13*v**2 + v + 30397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (1 + 2 - 5)*(-64 + 1 - 10)*(-24 - 44 - 53))*(u**2 + 3*u**2 - 2*u**2).\nAnswer: -35330*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + 1.44. Let s = v - -0.4. Let m = s + -3. Which is the closest to m? (a) 0.2 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1310 = -4*h, -4*h + o + 72 = 1378. Let g = h + 521. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24480 + -24482.5606. Let t = o + 2.58. Round t to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - a - 3*a)*(100*a - 281*a - 705*a + 48*a - 322*a) to the form t*a + z*a**2 + c and give z.\nAnswer: 4640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340 - 338.46. Let u = -1.44 + k. Which is the smallest value? (a) -14 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1630 (base 7) to base 15.\nAnswer: -2dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose 2*h - 46 = -2*l + 6, 4*h = -p*l + 75. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*y - 16*a + 11*a, 0 = -3*y + y + 11*a + 108 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2117748 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -313 - 3. Let a = g + 3467\/11. Calculate the common denominator of a and 6\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447*(5 + 0)\/15.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/6)\/(-14)*42\/20*5640\/188?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 149*a**3 + 2*a**2. Let o be x(2). What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 249179 (b) -66 (c) -1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469474031 to the power of 1\/2, to the nearest integer?\nAnswer: 58902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/1 + 2 + -3. Suppose -4 = c*b - 8. Calculate the lowest common multiple of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -245? (a) -2 (b) 2\/5 (c) 3142 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58359, 19\/4, -40.\nAnswer: -58359, -40, 19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:47 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286867440.\nAnswer: 2, 5, 16085843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(3*q + 2*q - 2*q) + 155*q - 155 + 155.\nAnswer: 152*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/5 + 22*i**3 + 62*i**2 - 22*i - 312\/5 = 0. Calculate i.\nAnswer: -52, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60, -397, -1270, -2931, -5632?\n\"Answer: -42*q**3 - 16*q**2 + 5*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:43 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + -1604?\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 5) + 0 + 1. Let g be (-16)\/(-10) - a\/5. Let p(c) = c**2 - 2*c - 1. Let m be p(4). Solve 2*y + 2*l + 12 = 0, 1 = -g*y + 4*l + m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -28, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189202 = -4973*a + 40581 - 40353 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 7*w**2 - 5*w - 13. Let r = 725 + -491. Suppose -27*v + r = 12*v. Give b(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.1 + -41.1. Which is the biggest value? (a) 0 (b) 0.53 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005583 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/((n*n**1)\/n)))**(-1\/39)\/(n\/(n*n**1))**(-29) assuming n is positive.\nAnswer: n**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 69, 0, 2.\nAnswer: 0, 2, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1056\/120096)\/(55\/(-30)).\nAnswer: -2\/417","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45645516349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 284*b - 9 - 16*b to the form t + l*b and give l.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/3 - -3)*339. Suppose 7*d - j - 62 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308222 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2679 and 1363?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/46 and -11\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108421542.\nAnswer: 2, 53, 233, 44879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 30 = 3*i. What is the third derivative of 5*w**2 - 6*w - w + 7*w + 6*w**i wrt w?\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1559\/18 - 388\/9. Let y be (-6 - (-3 + 6 + -4)) + (48 - 1). Let z = n - y. Which is the closest to 4? (a) 5 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x + 750 = -116*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1\/(-3))*3\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 b, and 1 c when three letters picked without replacement from hbbhcfbnfhhxh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 15*i**2 + 21*i + 24. Let o(x) = 3*x**3 - 29*x**2 + 43*x + 49. Let g(n) = 5*l(n) - 2*o(n). Let m be g(-18). Solve 15 = -s - m*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-2)\/3)*(-51 - -48). What are the prime factors of s\/(-1) - (-32 - 816)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685353.\nAnswer: 3, 228451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -916*((-11)\/2 + 120\/24). Suppose 2*o + 3*q = o + 231, -2*o + r = 2*q. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -3818215\nAnswer: -7\/763643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4968 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 330344088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - -29.78. Let c = -24.1 + p. Let w = c + -5.8999908. What is w rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2. Let k(d) = -28156349*d. Give k(a(z)).\nAnswer: -84469047*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from seessesssdedses?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -1613?\nAnswer: -1617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -9. Let t be (l + 2)\/((-2)\/2). Let p be (-2)\/(-6) - (-14)\/30. Put t, -5, p in increasing order.\nAnswer: -5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 300a - 0?\nAnswer: 300a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 360?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58897, 58389, 57005, 54307, 49857, 43217?\n\"Answer: -73*v**3 + 3*v + 58967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 10:12 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7506 and 10980?\nAnswer: 4578660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r + 5. Let v(j) = -2*j**2 + 3*j + 6. What is -4*s(b) + 3*v(b)?\nAnswer: -2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/105 (b) 27 (c) -2 (d) -58 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.87 - -1. Let b = 0.23 - k. Sort 0, -0.4, b in ascending order.\nAnswer: -0.4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 2:08 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 13) to base 10\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -93427.\nAnswer: -93426.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034736 to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52.47408 + -0.15832. Let b = r - -50.63. Let c = b - -2. What is c rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/2 + 10\/2. Suppose q*v - 11 + 5 = 0. Solve -3*u = 3*m - 3, -v*u - 2*m + 1 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 7*d**2 - 2*d - 7. Let y be w(-7). Let h = -8 + y. Which is bigger: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 140439*p. Let h(j) = -j**2 - 48. Give h(m(o)).\nAnswer: -19723112721*o**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*q = -3*q + 441, 2*q + 438 = 5*l. Suppose -4*m + 796 = 268. What is the greatest common factor of l and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -188, -380, -576, -776?\n\"Answer: -2*y**2 - 186*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29865 and -5?\nAnswer: 149325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a8 - -1367?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268986 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3\/3 + 91. Let l(u) be the first derivative of 13*u**2\/2 - 3. Give l(h(x)).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(20)*-2 - sqrt(20) - (sqrt(5)*3 + 0))**2 + sqrt(25)\/(sqrt(10)\/sqrt(2))*-5.\nAnswer: -5*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 15665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88097*t**2 + 581*t - 384.\nAnswer: 176194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146018, -146019, -146020?\nAnswer: -146021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/16*598\/115 - -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*h + 317 - 2081 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -974 + 653. Let b = 13543734 - 13543412.99666. Let s = b + g. Round s to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bff when three letters picked without replacement from bffbfffffffbbf?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 1, u: 8, w: 3, j: 3, n: 1}. Give prob of picking 1 w and 1 u.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(0 + (-2)\/(-8)). Let v = -13 + 8. Let h(r) = 11*r + 3*r + 5 + r**2 - 19*r. Let c(t) = -2*t**2 + 12*t - 12. What is k*h(q) + v*c(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3431 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 1189 + 1085 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6045?\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, 4, 16 in increasing order.\nAnswer: -10, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1341471480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288103242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 8*g**2 - 2 + 40*g + 6*g**2 - 22*g as v + m*g**2 + i*g and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -1\/20, 107, 1, -3\/4?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1321*w - 839. Is q(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5954 and -98.44961.\nAnswer: -6052.44961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5626166306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + -0.84. Let z = -0.7 - t. Let b = -3 - -3.3. Put z, b, -0.2 in increasing order.\nAnswer: -0.2, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66998 - (2 + -2 - 2))\/(-1). Round u to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87.972 - -67.84. Let o = -1.392 - m. Let x = -19 + o. Round x to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*(-2)\/81*684\/114?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3872504 to the nearest integer?\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -171357 (base 10) in base 11?\nAnswer: -10781a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17974211 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573 smaller than 177464\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/170516 and -43\/282?\nAnswer: 511548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**4 - 1508753*a**3 - 3852485*a**2 wrt a.\nAnswer: -240*a - 9052518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + -3 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/3 + 661*l**4 - 709075*l**3\/3 + 23796671*l**2 - 140660728*l\/3 + 23325936 = 0.\nAnswer: 1, 212, 1557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -53. Let z(g) = -g**3 - g**2 + 1. Let a(f) = -15*f**3 - 4*f**2 + 21. Let q(i) = t*z(i) + a(i). Differentiate q(n) wrt n.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*f = 416*f - 1359 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -213*b**3*p*v + 28*b**3*p - p*v + p wrt v?\nAnswer: -213*b**3*p - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 14*x - 17. Let a be t(-13). Let j(b) = 4*b**2 + 3*b - 5. Is j(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*t = -32, -x + 8*t = 3*t - 22. Calculate the remainder when 25 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46740, 186958, 420652, 747822?\n\"Answer: 46738*g**2 + 4*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 2489?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbh when three letters picked without replacement from helpbpe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 + 4*r**2 + 19*r - 7. Let w(d) = 2*d**3 - 2*d**2 - 10*d + 4. Calculate 4*b(n) + 7*w(n).\nAnswer: -2*n**3 + 2*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -8230213?\nAnswer: 8230212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 9 = -6*l - 3*m, -5*l - 12 = -4*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25318559 is divided by 184807.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2295)\/(-108)*(-6)\/(-390)*-13*(-6)\/1?\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 832*r**3.\nAnswer: -832*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120152 + -5015?\nAnswer: 111133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + (-143)\/(-286). Which is the third smallest value? (a) w (b) 255 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/((-15)\/40*-1). Suppose c - 21 = -i. Suppose -55 = -c*f + 45. Solve 8*p = 3*p + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.81 to the nearest integer.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 459278\/(-369840) - (-2)\/3. Let c = 499962039\/6164 - 81110. Let v = j - c. Calculate the common denominator of 61\/24 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.060694, -10\/7, -0.2 in decreasing order.\nAnswer: 0.060694, -0.2, -10\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + 0.79244?\nAnswer: 1.39244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32796?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c\/(c*(c*c**(1\/4)*c)\/c))*c*c\/c**0*(c**(-1\/2))**(-14))\/((c**(2\/7)*c)**(-8\/17))**7 assuming c is positive.\nAnswer: c**(1189\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53 + -14?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -215*m**3 - m**2 - m + 1. Let x be a(1). What are the prime factors of x\/(-22) + 4\/22?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u**2 - 4*u. Let m(d) = -8*d**2 - 3*d. Let r(a) = 4*m(a) - 3*w(a). Let t(o) be the second derivative of o**3\/6 - 47*o. Determine r(t(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.272*-4443161\nAnswer: 1208539.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3856\/9 < -428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 11 - 11)*(1 - 1 - 2*s**2 + (-2 - 2*s**2 + 2)*(4 - 4 - 2) - s**2 + 0*s**2 + 2*s**2).\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12315143 to the nearest 100000.\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.07 (c) -2\/17 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.364657 litres?\nAnswer: 6364.657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eltltllvlj. Give prob of picking 1 l and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, h: 9, c: 4}. What is prob of picking 1 p and 2 c?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009266 rounded to four decimal places?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 + 2*z**2 + z**2 + 0*z**3 + 5*z**3. Let g be p(-2). Sort -5, -3, g in ascending order.\nAnswer: -5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(30015\/(-46))*41\/((-17220)\/225).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -20, 252 in descending order.\nAnswer: 252, 30, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 103 = -8790*v + 8792*v, -v + n = -2*v - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -120220 (base 3) in base 2?\nAnswer: -110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-416)\/4056)\/((-150)\/390).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 15. Let t(x) = -x**3 + 2*x + 1. Let u be t(-1). Suppose 4*a - 2*a - 16 = u. Calculate the smallest common multiple of a and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -70 and -0.02591 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -3\/5 (c) -3 (d) -484627\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2. Let x be c(-1). Let b = x + 8. Solve -3*g + 1 - b = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 8*h**3\/3 - 7*h**2\/2 + 2*h - 11. Let q(t) = -7*t**2 + 6*t - 2. Determine 6*q(s) + 5*y(s).\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 9*x + 16. Suppose 9 - x = -3*d. Suppose -d*t - t + 879 = -4*z, 0 = -4*t - z + 1172. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110011101010101 (base 2) to base 5\nAnswer: 3343341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:44 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18925881 and 741.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405388 is divided by 7818?\nAnswer: 6670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**6 + 13*v**2\/2 + 107. Find the second derivative of o(t) wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a factor of 2065397839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.15, 3\/28, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 8*c**2 - 4*c + 31. Let v be u(-9). Suppose -35 = 4*x - 5*a, 0 = -5*x + a + 2*a - 47. Let z = x - v. Which is bigger: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4 - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0164 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18848 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6435016*k**6 + 3*k**4 - k**2 - 35904383 wrt k.\nAnswer: 772201920*k**3 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -17) + 7 + -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -6. Let s = h + -4. Suppose l + 0 = s. What is the remainder when 31 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -1\/42*t**7 + 1\/3*t**4 + 0*t**6 - 3*t + 0 + 0*t**3 + 0*t**2 + 0*t**5. Find the third derivative of c(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -27*i**2 - 206*i + 21. Let n(w) = -5*w**2 - 41*w + 4. Determine 2*b(m) - 11*n(m).\nAnswer: m**2 + 39*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 0*o + 1 + o + 0. Let i(p) = -2*p**2 - 4*p - 7. Let l(h) = 1. Let c(g) = i(g) + 3*l(g). Give -c(x) - 4*q(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, k: 5}. What is prob of picking 3 k?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:48 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*q**4 - 114*q**2.\nAnswer: -816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aybk when four letters picked without replacement from {m: 6, k: 1, a: 1, b: 3, y: 8}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - (4 - 4 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (28 + -7 + -56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11738964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 650098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - 2*d**2 + 2*d + 1. Let m be b(-3). Let n = 96 - m. What is the remainder when n is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -20. Suppose 0 = -s + f*s - 40. Solve z - 30 = 5*x, 5*x = -0*z - s*z - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 - (-24)\/8. Solve -2*p + d*p + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2578*i**3*x**3 - i**3*x**2 + i*x**2 - 2*i*x - 44 wrt x?\nAnswer: 15468*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 18*p**2 - 15 + 0*p - p**4 - 32\/3*p**3. Factor t(z).\nAnswer: -4*z*(z - 1)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**5\/u)\/(u\/(u**(-9)\/u*u)))\/(u**(2\/3)*u\/u**(2\/3))*((((u\/u**(-1\/6))\/u*u)\/u)\/(u*u\/u**(-2\/7)*u))**44 assuming u is positive.\nAnswer: u**(-3008\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8691 - 8689. Factor 0*q - 2\/5*q**a + 0.\nAnswer: -2*q**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3562767 and -17\/8313123?\nAnswer: 24939369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 + b + 4. Give v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37, -120, -235, -364, -489, -592?\n\"Answer: 3*g**3 - 34*g**2 - 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:46 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3 - 2 + 4. Suppose -4*u - 3*o = 17, 2*o - o = 2*u + 1. Let y(l) = l**2 + 3*l + 8. Let s be y(u). Let b(v) = v + 6. Calculate s*h(q) + b(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 943961 and -1.5.\nAnswer: 943959.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/7)\/((-990)\/924)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3528 - 3523. Let b = 1 + 0. Let n be (-3)\/(2\/4 + b). Put g, 1, n in descending order.\nAnswer: g, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by 5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 13789.9?\nAnswer: 13789.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 7*k - 4*k + 3, -5*k = 3*n + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -27, 17, -2, 0.4, -5, -0.3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -181. Put -4, -3, q in ascending order.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 - 7105*c**2 + 7120*c + 14220 = 0. What is c?\nAnswer: -1422, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.165 - -2.297. Let i = o - 3.16. Round i to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-62)\/3*1\/(10\/(-15)). Calculate the greatest common divisor of f and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7184 is divided by 2275?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**3 - 7*b**2 - 36*b - 5. Let l(q) = 4*q**2 + 21*q - 18. Let g be l(1). Let f(u) = 5*u**3 - 3*u**2 - 18*u - 2. Calculate g*f(o) - 3*j(o).\nAnswer: 2*o**3 - 18*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 32*m = -40. Let p be (30\/25)\/((-3)\/m) + 114. Suppose 3*q + 3*a - 366 = 0, q - 2*q = -5*a - p. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274)*-1)\/(sqrt(2) + sqrt(8)\/(sqrt(4)*2) - sqrt(2)).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 - 2*o - 2. Let y be (-50)\/(-18) - (-2)\/9. Let k(d) = -4*d**2 - 3*d - 3. Let q(c) = y*g(c) - 2*k(c). Let j(i) = 3*i**2. Calculate j(q(a)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**6\/10 - 5*c**4\/4 + 6*c**2 + 26*c. Solve w(d) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7711 + -2187. Let q = b + -243021\/44. Find the common denominator of -29\/28 and q.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g + 11\/15*g**5 - 2*g**4 + 3*g**3 + 0 + g**2 - 2\/15*g**6 + 1\/105*g**7. Suppose m(t) = 0. What is t?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1157979814 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1327 (base 8) to base 10.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2 + 1 - 2*b - 25 + 10. Let m be w(-11). What is the greatest common divisor of 15 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 + 9.78. Let s = l - 8.7. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*f = -5*i + 99, -f - 95 = -3*i. Let p be i\/18 - 4\/(-18). Let h be 6\/15 - (-13)\/5. Solve -p*j = -j - h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 13*l**2 - 19*l - 28. Let g be u(11). Which is the closest to -2? (a) -3\/5 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 40. Let y be m(5). Let c(q) = q**3 + q**2 + 2*q + 3. Determine c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 - 11 = 0. Let v be (-30)\/k*8\/10. Solve -2*u = -0*u - v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/33044 and 15\/751.\nAnswer: 33044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 1. Let y(q) = -q**2 - 9*q - 13. Let a be y(-7). Let g(o) = -5*o - 2. Let f(b) = a*g(b) + 4*x(b). Let t(s) = s - 3. Give -3*f(m) - 2*t(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (4 - (32 + -42)) - -93.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + 6*b + 7. What is q(6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -30*x**2 + 99*x + 21. Let u(h) be the third derivative of -h**5\/20 + 5*h**4\/12 + h**3\/3 - 11*h**2 - 33. Determine -2*b(k) + 21*u(k).\nAnswer: -3*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44220913 and 649?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36299746, 36299743, 36299738, 36299731, 36299722, 36299711, 36299698?\n\"Answer: -b**2 + 36299747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.09 (b) -62 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 37. Let y = v + 57. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -p - 3*s, 3*p = -p - 2*s + 126. Let d = p - 23. What is the second derivative of -d*w**5 - 8*w - 18*w**5 + 7*w**5 wrt w?\nAnswer: -380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15878601\/8 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4485062 and 0.1.\nAnswer: 448506.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3663, 3639, 3615, 3591, 3567, 3543?\n\"Answer: -24*m + 3687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-574)\/1020 - 1719\/(-58446).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 7*s**4\/12 + s. Let n = 23 + -22. Let c(k) = -4*k + 3. Let q(o) = o - 1. Let i(m) = n*c(m) + 3*q(m). Calculate i(v(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -677, -6005, -20681, -49379, -96773, -167537?\nAnswer: -266345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10018327 + 5?\nAnswer: 10018333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 35. Let d(i) = 2*i - 20. Let v be d(y). Suppose 166 = v*q - 6*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*z - 1359 - 3537. Solve -c + z = 101 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 318*q**3 + 5*q**2 + 4534*q.\nAnswer: 1908*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:21 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.98711 tonnes in grams?\nAnswer: 80987110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-4*(sqrt(76) + sqrt(76) + sqrt(76)*1) - sqrt(76))*-5)\/(((sqrt(224) + sqrt(224) + sqrt(224)*2)\/sqrt(8))\/sqrt(7)))**2.\nAnswer: 722475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, -2287, -8707, -21193, -41767, -72451, -115267, -172237?\nAnswer: -245383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 12 = -4*r. Suppose 0 = 6*y - r*y - 24. Let s be 1\/((-2)\/y) - -1. Put 0, 5, s in decreasing order.\nAnswer: 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -803, 3, 100 in decreasing order.\nAnswer: 100, 3, -3, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 550974536*k**4 - 187345300*k**2?\nAnswer: 13223388864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 + 4. Let g be t(-5). Let y be 62\/g + 21\/6 + -4. Suppose -q = -6*q - y. What is the closest to -0.1 in q, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/115 and 51\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i - 9. Let m be x(-10). Let n = m - 85. Let r(f) = 52*f - 27*f - n*f. Let o(v) = 10*v. What is o(r(t))?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, -98 in ascending order.\nAnswer: -98, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23015, 23017, 23029, 23057, 23107, 23185, 23297?\nAnswer: 23449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 14*l**2 - 4*l**2 + 1332 + 12*l**2 - l + l**2.\nAnswer: -l**2 - l + 1332","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 39, 57, 59, 39?\n\"Answer: -q**3 + q**2 + 32*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {u: 7, c: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -1 - (1661 - 1676).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -196. Suppose -j = -n - 5*j + 30, -30 = -n + 5*j. Calculate the remainder when n is divided by (-8)\/(-12) - (i\/3)\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201460.4085 rounded to the nearest 1000?\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -79. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -11. Suppose 2*x - 11 = -1. Calculate the lowest common multiple of f and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 5*a - 17*a.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 48*i**2 - 105*i**3 - 99*i**3 - 107*i**3 + 415*i**3 - 106*i**3. Calculate z(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**3 + 3*d**2 + 3*d + 3. Let b(x) = 14*x**3 + 8*x**2 + 8*x + 8. Let r = -2077 + 2085. What is r*a(g) - 3*b(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48553519?\nAnswer: 7, 59, 117563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7*u*u\/(u*u**(-6\/11))*u assuming u is positive.\nAnswer: u**(105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-37)*g**22*g assuming g is positive.\nAnswer: g**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7396 is divided by 1056.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1010101?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160.426872813 + -153.4900792083. Let p = 544.9367909347 - t. Let f = p - 538. Round f to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 + 4*t**3 + 3*t**2)*(5676*t + 134 + 76 - 210) as k*t**2 + d*t**3 + q + l*t**4 + h*t and give l.\nAnswer: 22704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-1)\/((6\/(-2))\/(-3)). Is (-6 - 2147)*(-10)\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310110799?\nAnswer: 19, 89, 183389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0.31 (c) -139 (d) 0 (e) -0.5 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 5*v + 4. Let m be (-6)\/1 - 3\/(-3). What is the units digit of t(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 6 + 8 = 0. Let g(m) be the second derivative of 1\/2*m**3 + u*m + 0 - 2*m**2. What is g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*w + 369 - 1007 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 27848*k**4\/5 + 21712*k**3\/3 - 1407*k**2\/5 + 18*k\/5 + 1062. Factor w(l).\nAnswer: 2*(l + 1)*(236*l - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 8*c**2 - 7*c - 30. Let w be z(6). Does 54 divide 2 + 113 + (w - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-5 - -8) + 3 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, 4\/3, 2, -6\/431, -4 in descending order.\nAnswer: 2, 4\/3, 1\/17, -6\/431, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 214351*d. Let f(o) = 548*o + 2. Determine u(f(x)).\nAnswer: 117464348*x + 428702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (15 + 29 + -78) - (-3 - 104)\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 592*o - 20645. What is k(37)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 575 + 3 + 1 + -3. Suppose -3*y = -4*p + 763, -3*y - q = -6*p + 3*p. What is the greatest common divisor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -43 + 28 + -24\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 11*j**2 + 19*j - 53. Let a = -671 - -681. Let l be h(a). Solve 0 = 35*f - l*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7770*p**3 + 3*p**2 - 13*p - 12. Is c(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2. Let g(r) = -689*r. What is g(j(t))?\nAnswer: 1378*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuixiixuiuxxiixi. What is prob of picking 2 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2. Let f(n) = 99*n + 22. Let u(h) = -14*h - 3. Let v(s) = 3*f(s) + 22*u(s). What is z(v(l))?\nAnswer: -484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.1 (c) -4 (d) 20 (e) 102\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 86*v\/3 + 583.\nAnswer: (v - 53)*(v - 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100000001 - -11?\nAnswer: 100000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**4\/18 + 10*d**3\/27 - 92*d**2\/9 + 104*d\/3 - 7456. Find g, given that v(g) = 0.\nAnswer: -13, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 395760272*l**3 + 143*l**2 + 14*l + 3044.\nAnswer: 2374561632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7871 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3644.104 to the nearest ten.\nAnswer: -3640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1837 * 28449\nAnswer: 5226.0813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-6))\/((-3)\/6))\/((-1)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0, 162328?\nAnswer: 162328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f - 3. Let x(p) = p**3 + 20*p**2 + 38*p + 34. Let i be x(-18). Give d(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:28 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35 from -2559665.84.\nAnswer: -2559630.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98740, -98767, -98812, -98887, -99004, -99175, -99412, -99727?\nAnswer: -100132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 11*v**2 + 2*v + 6. Determine y(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 1. Let u(p) = -5 + 2*p**2 - 5*p**2 - p + 0*p. Suppose -207 = -2*k + 161. Let q = k + -185. Give q*u(o) + 3*a(o).\nAnswer: 3*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/21 > 4.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(1\/9). Let u = v + 0. Put 4, u, -5 in decreasing order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12788*q*y**3 - 68*q*y**2 - 110*q wrt y?\nAnswer: 76728*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**7\/1260 - 29*x**6\/60 + 7741*x**5\/90 - 2494*x**4\/3 + 29584*x**3\/9 - 1333*x**2. Factor t(o).\nAnswer: (o - 172)**2*(o - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5174428507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*6\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -333 in -0.01, -2\/11, 0.2, 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133.00000238 - 133. What is r rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.162 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159504 is divided by 1627.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = k - 4*o + 10, 2 = 2*k + 2*o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) 2\/33 (c) 0.1 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from yryjyjrbjbzbyjjj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12398 (base 13) to base 10.\nAnswer: 33587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(29172\/629) + ((-4)\/(-6) - 376\/282).\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 2312*h - 12. Let r(t) = -2*t + 2. What is l(z) + 5*r(z)?\nAnswer: -z**2 - 2322*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 o when four letters picked without replacement from uouaouuaxxuo.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1032863*j**5 + 130*j**2 + 1131 wrt j.\nAnswer: 61971780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -3 - 3) + -5. Let k(i) = -i - 7. Let m be k(v). Solve -m + 22 = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -307, -672, -1173, -1804?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 2234515?\nAnswer: -2234530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, -0.03, 0.5, 0.3, 3\/8, 20 in ascending order.\nAnswer: -0.03, 0.3, 3\/8, 0.5, 20, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -28. Sort o, 13, -4.\nAnswer: -4, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 233, 237, 241, 245, 249?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w**(-3))\/(w*w*w**1)**(-2\/3) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.979959 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 26 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 675001*h**2 - 3*h + 2. Let o be -4*-2*(-3)\/(-12). Let w be n(o). Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12859 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -34. Let k(p) = 0 - j*p + 26*p + 0. Let o(z) = -z + 2. Let r(y) = 11*y - 8. Let f(g) = 4*o(g) + r(g). Determine k(f(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010 + -1111101111010100100110?\nAnswer: -1111101111010110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301 is divided by 2282.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 2. Let u be (-1)\/(-2 + d + 4). Suppose -2*i + 2 = 8. What is the second biggest value in u, i, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23526, -0.4, -0.1?\nAnswer: -23526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j. Let t(r) = 10480556*r**2. Give t(h(f)).\nAnswer: 1771213964*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 9*x + 9*x. Let z(k) be the first derivative of k**3\/3 + 2. What is s(z(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11500*f*g**3 + 240740*f*g - 192*g**5 + 2*g**4 + 4*g**2 wrt g.\nAnswer: -69000*f - 11520*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50308836 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -659684 less than 713114?\nAnswer: 1372798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c = -72 - 208 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 10, n: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t. Let h be 8\/(-35) + 4\/14. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6888527 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 g when four letters picked without replacement from ggvigivggggggxgg?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/5, 5.1, -2\/7, 5\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/13 (b) 5.6 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.522555271743 + -7\nAnswer: -5.477444728257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274239.\nAnswer: 3, 7, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 - 15*p**4 - 28*p**4)*(6*p - 2*p + 0*p) - 7*p**5 + p**5 + p**5.\nAnswer: -169*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2947 is divided by 95?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 + 257*r**2 - 744*r - 4572 = 0.\nAnswer: -3, 6, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 2\/(-1)*1. List the prime factors of 1 + 6 + s\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:16 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18886 and 6887.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-84)*(-1701)\/162.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-10 - -6) - 3. Which is smaller: 14\/55 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816797499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*k + k**2 - 56*k)*(-2*k + 5*k - k)*(-9*k - 5*k**2 + 9*k).\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 + 29*x**2 + 26*x**2 + 6*x**2.\nAnswer: 75*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10936097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -97*w - 2380 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:16 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 + 5*o + 7. Give c(-5).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 371196569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349341378*-0.4.\nAnswer: 139736551.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, n: 3, s: 1, k: 3, w: 3, u: 1}. What is prob of sequence nkk?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*h + 3514 = -112*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -k - 7*i + 79, 0 = -k - 3*i + 104. Is k <= 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*j + 81 = -250*j - 63 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23 and 708?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/597 - 991\/1194. Let c = 0.5 + -1. Let f = -417 + 416. Put f, c, m in increasing order.\nAnswer: f, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35\/14)\/(2\/(-4)). Let p be 2\/q + (-2804)\/(-10). Suppose p = 4*y - 0*y. Calculate the greatest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0854339 times 0.15?\nAnswer: 0.012815085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in minutes?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 123\/(-82)*2316\/9. Let l = 392 + t. Solve k + 5 = l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:40 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20333 (base 4) to base 9.\nAnswer: -708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1246\/(-28) + (-45)\/(-10) + -5. Sort 4, l, -44, 1.\nAnswer: l, -44, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/8 and -25\/12283764.\nAnswer: 24567528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h + 8254 = 5354 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -107. Let b be (2 - (m + 3))\/(7\/35). Solve -b*g + 5 = 5*l, -3*l - g + 3 = g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 3949*b**2 - 51150*b. Give i(13).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zfzffffz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147374 is divided by 48974?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b + 4. Let j be d(6). Suppose j*c - 57 - 55 = 0. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 8*p**2 - 8*p + 11. Let s be o(-9). Suppose v - 5 = 5*t, 0*v = 2*t - s*v + 10. Suppose t*w + 585 = 5*w. Round w to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, 3, -1, -3, 4264 in decreasing order.\nAnswer: 4264, 3, -1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 12*v**2 - 148 + 0*v**2 - 2*v + 16*v**2.\nAnswer: 25*v**2 - 2*v - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((-5)\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 2. Let v(f) = 13*f - 9. Let o(u) = 9*c(u) - 2*v(u). Let z(s) = -s**2. What is o(z(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7766\/5535 + 28\/1107. Let b = u + 7\/45. Calculate the common denominator of b and -25\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -80627, -322473, -725551, -1289861, -2015403, -2902177?\n\"Answer: -80616*z**2 + 2*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o**2 + o. Let j be s(0). Let p = j + 2. Solve 2*v - v**4 + 0*v**3 + p*v**2 - 2*v**3 - v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 3. Determine f(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 93\/2 + (-33)\/(-22). Let f = -34 + u. Suppose 8 = -d + 4*b, 2*d + 0*b - 2*b = f. What is the remainder when 34 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*p - 10, 157 - 122 = 5*i. What is the greatest common factor of 301 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -284495\/3454 + 906\/11. Sort 0.4, 0.1, 4, v, 0.3 in decreasing order.\nAnswer: 4, 0.4, 0.3, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15608, -62442, -140496, -249770, -390264, -561978, -764912?\n\"Answer: -15610*k**2 - 4*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244*c - 271*c + 78*c)*(-2*c + 2*c - c) + 0*c**2 - 2*c**2 + c**2.\nAnswer: 436*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 637292168?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 - -177. Suppose i*g - 9795 = 19*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1122, 1\/10, 3, 3\/5, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318 is divided by 592.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {r: 7, y: 3, p: 3, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 37165100 to the nearest one hundred thousand.\nAnswer: 37200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23*h - 1. Let n be k(1). Let o be (1\/(-2))\/(2\/(-4)). Let w be n\/((3 - o) + 0). Solve -2*q - 3 + w = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-5)\/(-20)*1)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v = 1617 + 903. Suppose -25 = -x - 4. Find the first derivative of -1 + x + 0 + 47*p**2 - v*p**2 wrt p.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 118*j - 882. What is v(-110)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1273532477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*(-52)\/6*3. Let c(k) = -94*k**2 + 17*k + 7. Let l be c(u). Round l to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - 20\/(-8). Suppose 2*o - 271780 = -g*o. Suppose 12055 = -k - o. What is k rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105988707\/413 - 256631. Let t = o - -2\/59. Which is the closest to 1? (a) t (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, y: 2}. What is prob of sequence yyd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -i - 100, 2*z - 6*i + 4*i = 50. Let g be z\/(((-18)\/12)\/(-3)). Calculate the highest common divisor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 74, 79?\n\"Answer: 5*f + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42352 (base 6) to base 11.\nAnswer: -4363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 372*q**2 - 7*q + 2. List the prime factors of a(1).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -6*h + h - 15, 4*h = 2*f - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(220))\/(-2*sqrt(1331) - sqrt(1331) - sqrt(396)).\nAnswer: 10*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22509, 11, -2\/15, 1 in decreasing order.\nAnswer: 11, 1, -2\/15, -3, -22509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m. Let r(f) = -8*f - 1. Let v(p) = -6*r(p) - 7*z(p). What is the units digit of v(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(17))*-6 - ((sqrt(238) + -2*sqrt(238))\/sqrt(7))\/sqrt(2) - (sqrt(561)\/(sqrt(11) - (sqrt(396) - sqrt(11))))\/((sqrt(9)*-3)\/sqrt(3)).\nAnswer: 155*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, f: 6, u: 2, o: 1, b: 3, r: 4}. Give prob of sequence urur.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - -3550552?\nAnswer: 3550452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 917, 2018, 3333, 4898, 6749, 8922, 11453, 14378?\nAnswer: 17733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3 and 20\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -11, -143, -2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.09, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 630588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 30\/14861 (b) -3 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:00 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -5 (b) 3 (c) -0.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -29*h**3 + 9*h**2 + 29*h - 15. Let z be -9 + 8\/(24\/9). Let s(m) = -405*m**3 + 125*m**2 + 405*m - 210. Let f(n) = z*s(n) + 85*d(n). Factor f(r).\nAnswer: -5*(r - 1)*(r + 1)*(7*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 824970 and 305?\nAnswer: 50323170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 784 and 1253.\nAnswer: 140336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18636 + -12997. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-6)*o**(2\/3)*o**(4\/5)\/o*o*o**8*((o**(1\/21)\/o)\/(o*o\/o**(-2\/37)*o))**(-22) assuming o is positive.\nAnswer: o**(406403\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 - 67. Suppose -9*l - c + 114 = 0. Suppose 0 = 3*i - 12, 0*a - 2*a + 3*i - 6 = 0. Calculate the highest common divisor of a and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-99))\/(1 - 2). Suppose -2*u + 3*y = -u + 11, 0 = 3*u - 3*y + 3. Let v = u + -9\/2. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/14 - 10\/35\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 2*w**3\/3 + 2*w**2 - w + 23. What is s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -57. Solve -3*s = -4*s - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 25 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4928838 >= -4928838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 - (4 - 22661\/(-52)). Let j = s + 440. Which is greater: j or 0.06?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33305 minus 175?\nAnswer: -33480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.3 + 5.3. Let k = 90 + j. Let m = 51.43 - k. What is m rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 + 3*v + 3. Let u be l(-2). Let h(z) = 27*z + 1. Let a be h(u). Let f = a + 11. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 3*c + 2*c**2 + (1 - 1 + 2*c)*(-11 + 11 - 2*c) + 2*c**2 + 2*c**2 - 3*c**2)*(42*c - 85*c + 46 + 41*c) to q*c**2 + j*c**3 + o*c + y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/30 - 11*a**4\/6 + 121*a**3\/3 - 29*a**2\/2 + 12*a. Let o(k) be the first derivative of i(k). Factor o(h).\nAnswer: 2*(h - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 7*l**4\/5 + 2*l**3\/5 - 21*l**2\/5 - 4*l - 4\/5 = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1534350, -3068699, -4603048, -6137397, -7671746, -9206095?\n\"Answer: -1534349*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 35*q - 28*q + 216 = 0. Let w(f) = -4*f. Let p(g) = 3*g. Let z(m) = -3*p(m) - 2*w(m). Calculate z(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-12 - 19) + 19 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 7*y**2. Let o be f(-7). Let d be 2 - (-40)\/(-36) - 2. Is o >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 18*o**2. Let g be k(-1). Find the first derivative of -8 + 319*x**4 - 322*x**4 - g wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -790, -1911, -3480, -5497?\nAnswer: -7962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/3 + 5*g**3\/2 - 32*g**2. Let h(s) = 9*s - 14. Let m(u) = 6*a(u) + 5*h(u). Let i be m(6). Solve -8 = i*k - 6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1246315924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -755.5 - -756. Put -10\/9, g, -0.1, -5 in descending order.\nAnswer: g, -0.1, -10\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1926 - 2626. Let g = 357 - w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2 - 12. Suppose 0 = -f - v - 6. What is the units digit of 1\/(1 + 14\/f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {q: 13, c: 6}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*l)*(-4*l**2 + 6*l**2 - 4*l**2) - l**3 + 2*l**3 + 0*l**3 - 4*l**3 + 2*l**3 - l**3 + (0*l - l + 3*l)*(-5*l**2 + 5*l**2 - l**2).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - 5*p - 5. Let n be b(-5). Let m = -3 + n. Let z = 16 + m. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 10*w**2 - 3*w + 14. Let h be v(-7). Let t be 4\/14 - 4\/h*6. Let g = 0.46 + -0.06. What is the nearest to t in g, -0.2, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004.890613 rounded to the nearest ten?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3))\/w**(-8\/3) assuming w is positive.\nAnswer: w**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 6*y**2)*(-289*y + 63*y**2 + 289*y).\nAnswer: 378*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 63, 96, 129?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/81)\/((-1)\/1)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-15)\/(-24))*-2. Suppose 0 = l + l - 10. Let w = 5.1 - 5. Which is the closest to w? (a) s (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4580038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 + 133036*t + 133034 = 0.\nAnswer: -66517, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1039376467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 47. Let r = m + -2. Suppose 5*i - 107 + r = 0. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6207.999994678 + -6208. Round g to seven dps.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9877.328 millimeters to micrometers.\nAnswer: 9877328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 69 = -3*s, s = 2*s - o - 23. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 0*d**3 + 1\/4*d**2 + 0*d + 0 - 1\/4*d**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/10)*(a*a*(a\/(a**6*a))\/a)\/a)\/(a\/a**(-1))**(1\/7) assuming a is positive.\nAnswer: a**(-461\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 38.7. Let y = 0.3 - d. Let c = y - 5.000004. What is c rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -21903*r**3 - 16*r**2 - 112*r + 1. Let v be j(-9). Round v to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -36*76\/(-342) + (-8 - (-1)\/(-1)). Suppose -4*g - 4*j = -68, 0*j - 45 = -3*g - j. Sort -2, g, 5, f in descending order.\nAnswer: g, 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4724, 4, 1, -4, -24, 3 in decreasing order.\nAnswer: 4, 3, 1, -4, -24, -4724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207970360 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 13.1. Suppose 0 = -5*h - 3*d - d, -25 = 5*d. Let r(y) = 2*y - 3. Let x be r(h). Which is the second smallest value? (a) u (b) x (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15696 + 15914. What is the remainder when 1237 is divided by k?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.1, 34, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 9*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/14)\/((5850\/(-525))\/39)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847 is divided by 160?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -1 + 12 + (-19 - (1 - 19)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69820183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3091861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1513.487.\nAnswer: -7567.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44684938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b + 826 - 481. Let m(a) = -28 - a**3 + 2*a - 20*a**2 - 10*a - 10*a. Is m(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/189 and -119\/6.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*f = 330*f + 3*z + 12, f + 7*z = -28. Solve -5 = 5*x, -4*y + 0*y + 4*x = f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/16)\/(114\/456).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69445001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-24)*16\/(-12). Let r = -0.02 - 1.98. Sort r, 7, q, -1\/2 in decreasing order.\nAnswer: 7, q, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 2*y + 31. Let f be u(0). Let v = -32 + f. Let p be ((-14)\/42 - (v - -1))*-6. What is the biggest value in -5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-39) + 0 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 4*t - 221, 36*t = 9*t + 32*t + 245 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 5*s**2 - 5*s + 1. Let u be ((-18)\/15)\/((-6)\/(-20)). Calculate the remainder when v(u) is divided by (-54)\/(-4) - 1\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-33) - 6\/33. Let s be (-7)\/(-5) - (-2)\/(-5). Let t = s - d. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1978 divide 176042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203616 and 20880?\nAnswer: 29524320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -297. Let l = k - -216.999903. Round l to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3 - 112*a**4 + 108*a**4 - 1207*a**2 - 5267*a**5 - 2*a**3 + 5291*a**5 wrt a.\nAnswer: 1440*a**2 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48674\/183 or -266?\nAnswer: -48674\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*x + 8150 = 0, -4*x - 7874 - 278 = -3*k. List the prime factors of k.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -15. Suppose -s = 4*n - 217, 0*n - 165 = -w*n - 3*s. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 4 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 13*h**3 + 0*h**3 + 3 - 3 + h**2 in the form t*h**3 + n*h**2 + i*h + w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/2)\/(2\/4). Let c = h - -40. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*w - 3*w - 408, 3*v = -3*w + 612. Calculate the least common multiple of 10 and v.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 - 193.966. What is the biggest value in x, 5, -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310270361 rounded to the nearest 100000?\nAnswer: -310300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -29*z**3 - 6*z**2 - 6*z + 5. Let x = 18 - 1. Let r = x - 12. Let n be w(r). Round n to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccxccxccckc. What is prob of sequence xkx?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 58*f = -55*f - 11, 3*f - 5 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 0*s**3 - s**3 + (-s - 8*s - 8*s)*(s - s + 2*s**2) + (5*s - 4*s + s)*(s - s - 2*s**2) as w*s**3 + m + t*s**2 + b*s and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*a**5 + 12*a**4 + 11*a**3 + 25*a**2 - 191*a - 19.\nAnswer: -2280*a**2 + 288*a + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/41028 and -57\/130.\nAnswer: 205140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247255\/24 - 10308. Calculate the common denominator of m and 31\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -990*n + 243*n + 247*n + 251*n + 395 + 251*n.\nAnswer: 2*n + 395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x. Let j(r) = 2*r + 10. Determine j(a(t)).\nAnswer: -4*t + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k - k - 4*k)*(3 - 4 + 3) + 14*k - 8 + 19 - 9)*(18 + 6 - 16*k**2 + 17*k**2).\nAnswer: 4*k**3 + 2*k**2 + 96*k + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 10*a + 13. What is the third derivative of a*u**2 + 0*u**3 - 4*u**3 - 5*u**3 - u**3 wrt u?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -482*c + 1023. What is p(2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/22 - (0 - (-140)\/44). Let m(j) be the third derivative of -1\/6*j**3 + 0*j - 5*j**2 - 1\/6*j**4 + 0 - 1\/60*j**5. Determine m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4464*m*w**2 + 1626*m*w + m + 2*w wrt w.\nAnswer: 8928*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8165 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: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u*u\/(((u*u**(3\/10))\/u)\/u*u)*u)\/(u\/u**(2\/9)*u**(-1\/11)) assuming u is positive.\nAnswer: u**(3973\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 142*f**5\/5 + 368*f - 679. What is the derivative of p(z) wrt z?\nAnswer: 568*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11 - 4*g + 44 - 14 - 19. Let a(q) = 19 + 2*q + 14 - 33. Suppose 0*h - 7 = h. Give h*a(f) - 3*l(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 14*z - 16 = 0. Let l(r) = -r**3 - 5*r**2 + 4*r + 3. Let i be l(-6). Suppose 6*o - o = -2*v - i, -z*o - 20 = 0. Solve -v*y + 1 = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3922874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/91188 and 43\/528.\nAnswer: 4012272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -59033.89 to the nearest 10.\nAnswer: -59030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9.5, -4, 1.\nAnswer: -4, 0.2, 1, 9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 482445 times 39?\nAnswer: 18815355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = -25. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234.1 + 44.1. Let y = 190.5 + x. What is the second biggest value in 0, y, -2\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 967052.5mm in micrometers?\nAnswer: 967052500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 689*q**2\/2 + 4*q - 57. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Suppose -2*m + 3*y = -32, 0 = -11*m + 10*m + 5*y + 16. Solve -5*h + h + m = k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**5 + 15*t**4 - 35*t**3 - 55*t**2 + 30*t + 40 = 0?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -421173339*u**3 + 483*u - 347648?\nAnswer: -2527040034*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 27411284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/5 + 38224*l\/5 + 365268544\/5 = 0.\nAnswer: -19112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**24*j)\/j**(-11) assuming j is positive.\nAnswer: j**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57379, 114709, 172039, 229369?\n\"Answer: 57330*z + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 180 = -2*u. Let j = 0 + -2. Let i be ((-8)\/(-2))\/j - -15. What is the highest common divisor of i and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23603 greater than -0.1366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**2 - 2*a - 1. Let u be x(-1). Suppose -y = y - u. Suppose 21 - y = -4*d - m, -d = 2*m + 11. Let k(p) = p**3 + 2*p**2 - 4. Determine k(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*m + 131, 0*q - 3*q = 2*m - 91. Suppose 5 - m = -3*o. What is the remainder when (1 - 2)\/((-2)\/74) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50442 and 493731?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634540132.\nAnswer: 2, 19, 71, 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 4*c**2 - 3*c - 4. Let m be x(-3). Let a = -1 - m. Differentiate -15 + 19 + f**2 - a*f**2 with respect to f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7390\/8 + (-9)\/(-36) - 0. Let p = h + -536. List the prime factors of p.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251439251 + -21874121006\/87. Let g = l + -12573. Let b = -647\/87 + g. What is the common denominator of -56\/11 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 1. Let a be q(-1). Let p = -1 - -1. What is the closest to a in p, 0.3, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2432766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38998 - -65451. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 (base 9) in base 3?\nAnswer: -101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**3 - 2 - 306*p - 5*p**3 + 306*p.\nAnswer: -16*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10375 by -2075.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(605) + -2 + 2 + sqrt(605) - sqrt(605) - sqrt(605) - (4 + sqrt(605)*-1)))**2.\nAnswer: -66*sqrt(5) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 38, 1, 5, -153, 2 in ascending order.\nAnswer: -153, -5, 1, 2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (12 - (59 - 83))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 4)*(-z**3 + 3*z**2 - 3*z**2) + 10*z**3 + 18*z**3 - 5*z**3 + (0*z**2 + 4*z**2 - 3*z**2)*(-1 + 1 - 2*z).\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/2)\/((-3)\/6). Let l be -3*6\/r*3. Suppose l*x - 4 = 6, -2*x = 2*k - 16. What is the highest common divisor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6556705327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = -1, 0 = 4*d + 4*n - 2700. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75381119 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 11*c - 238. Sort c, -0.19, -0.1, 3 in decreasing order.\nAnswer: c, 3, -0.1, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y. Let d(w) = -w**2 + 8*w. What is d(k(f))?\nAnswer: -16*f**2 - 32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3110165 divided by 8521.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 2\/11, -18\/7, -2, 0.2, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3396069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 4073 + 533. Suppose -9*v - u = -10*v. Suppose -2*a + 5*a - v = 5*w, -a + 2*w + 119 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1233261315?\nAnswer: 1233261320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/60 and -52\/375?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003505753755 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-4) + 10 - 0. Solve -3*i + 6 = 0, -a - 3*i + c = 2*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242638376 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2670*n - 5 - 2670*n + n**2 to the form i*n + w + h*n**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.1. Let y = 424 + -424.1. What is the closest to y in 0.3, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8140079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/200 and 121\/30784420?\nAnswer: 307844200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 17*n**2 + 5*n + 162. Calculate f(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**8\/840 - m**5\/24 - 5*m**3\/6 - m. Let c(p) be the second derivative of l(p). What is the second derivative of c(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714341 is divided by 2129?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -38*z**2 + 1. Let q(f) = -f + 47. Give p(q(m)).\nAnswer: -38*m**2 + 3572*m - 83941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 132, 270, 406, 540, 672?\n\"Answer: -o**2 + 141*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*o**3 - 104*o**2?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 183577*k + 18168.\nAnswer: 183577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z - 4. Let f(y) = -y**3 + 9*y**2 + 35*y + 10. Let k be f(12). Determine p(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 804.11 - -67.49. Let z = i + -871. Sort 5, -3, -2, z in ascending order.\nAnswer: -3, -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61665 times -2.36?\nAnswer: -145529.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8296, 8305, 8320, 8341?\n\"Answer: 3*j**2 + 8293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 224\/120 - 10\/(-75). What is the third derivative of -113*j**3 + 16*j**3 - 77*j**2 + 22*j**h wrt j?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584796500.\nAnswer: 2, 3, 5, 7, 50311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 670991?\nAnswer: -2\/670991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 4, 0.2, -2\/3, -94?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147.91 + -0.09. Let t = i + 147.6. Put 1, 5, t in descending order.\nAnswer: 5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 3*v + 1. Suppose 0*i - 4*i + 2*c = 256, c = 4. Let k = i - -76. Let g be (k\/(-49))\/((-1)\/14). What is h(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011100001011001110011 (base 2) to base 11.\nAnswer: -6492839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3075347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 370786 + -370813.0721. Let v = 27.1 + r. Round v to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*r + 5 = 3*r, 15 = 3*b - 3*r. Suppose -b*y = y - 44. Calculate the remainder when 43 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35262.\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -567, -865, -1149, -1419?\nAnswer: -1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72168 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 971280 divided by 213\nAnswer: 4560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 31*w**3 - 2*w**2 - 16*w + 5. Is 13 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 795 = -7*i. Suppose -236 = -5*l - 4*b + i, 3*l = 5*b + 271. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 3. Let b be r(-5). Suppose -7*g - 12 = -5*g. Let s(l) = -l**2 - 9*l - 13. Let w be s(g). Put b, w, -0.1 in decreasing order.\nAnswer: w, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206486 and 1204?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*z - 2*z. Let n = 1710 + -1709. What is the least common multiple of n and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364)\/140 - (-253)\/110?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13618 - -30735. What are the prime factors of q?\nAnswer: 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 4, a: 3, u: 1, y: 2, c: 6}. Give prob of picking 2 s and 2 a.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -34*u - 7. Let c(m) = -33*m + 2. Let l(p) = 10*c(p) - 9*z(p). Determine l(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 0. Let j = -12 + 12.06. Let k = -0.06 + j. Put 0.5, k, t in increasing order.\nAnswer: t, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 183. Let m = 61 + g. Let i = m + -131. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 3*r**2 - 4*r + 7. Let w be n(2). Is w greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 8. Let k(y) = 17*y + 13. Let i be k(6). Let b = 155 - i. Calculate the remainder when b is divided by q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i**2 + i + 31. Let h be r(0). Let s = 51 - h. Solve 1 = g, -q - s = -5*q - 4*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22197002 and 2958?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30464 and 1307232?\nAnswer: 73204992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203581499.\nAnswer: 3, 47, 2347, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = b + 3*s, 9*s - 10*s + 5 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 57 - 111 = 0. Suppose 0 = 7*v - 91 - h. 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: What is the remainder when 51397 is divided by 519?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*(m**(16\/3)*m)\/m)*m\/m**(2\/169))\/(m**(-5\/2))**(-9) assuming m is positive.\nAnswer: m**(-28235\/1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74511)\/(-3896))\/((-30)\/80).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1844 - 1837. Let i = 2 - 3. Which is greater: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23909175 and 2700?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v + 13. Let t(h) be the first derivative of 2*h**2 - 3*h - 165. Calculate 6*i(g) + 22*t(g).\nAnswer: -2*g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -3. Let n be ((-9)\/3)\/(6\/(-8)). Let r = n + w. Is r greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 176*i - 47. Give j(-59).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 45 + 4*b)*(-2*b**4 + b**3 - b**3) + 2*b**4 + 2*b**5 - 2*b**4 - b.\nAnswer: -6*b**5 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/5 - 78*b**4\/5 + 908*b**3\/5 - 684*b**2 + 5238*b\/5 - 2646\/5 = 0. Calculate b.\nAnswer: -49, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108247 is divided by 433.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*j + 5*p, -j - j + 62 = 2*p. Suppose -j = a + 4*a. Let c(y) = -5*y - 3. List the prime factors of c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - 114. Which is the third biggest value? (a) -2\/5 (b) 1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - -1.04. Let z = -0.9 - 0.1. Let b = 1 + -1.1. What is the third smallest value in z, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:43 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2468\/5, -0.05, 1, 5 in descending order.\nAnswer: 2468\/5, 5, 1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9518 times 18889?\nAnswer: 112423.5502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 846.3 - 846.33. What is the closest to -1 in -208, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3009.4 times -0.3?\nAnswer: -902.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165572*h*x + 2*x + 20718 wrt h?\nAnswer: 165572*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*h + 16 + 32*h + 6*h**3 - 14*h - h**2 - 2*h**4 - 5 - 10 as s*h**4 + y + z*h**2 + n*h + p*h**3 and give n.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/2)\/((-20)\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5874776 (base 11) to base 13\nAnswer: -2180928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 - -249. Sort 1, q, 0, 4 in increasing order.\nAnswer: q, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5744 + -1553. What is the highest common divisor of 33 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*l**3 + 14408*l - 14408*l + 2833*l**3 + 1 to the form m + x*l**2 + k*l + u*l**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 197 + 198 - 397 + 27*o**3 to v*o + t*o**3 + a*o**2 + m and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 20 = 4*m. Suppose 5*v - 5*z = 4*v - 21, -2*z + 22 = 3*v. Suppose m = -b + v. Solve 0 = 3*s - 0*s - t - 3, b*s = -4*t + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -395 + 388.74. Let p = 3.26 + m. Let n = -0.7 - -0.2. Which is the biggest value? (a) n (b) 0 (c) 0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, e: 2, n: 5, p: 1, j: 2, c: 1}. What is prob of sequence pjj?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c + c + 9*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4469124, -4469151, -4469178, -4469205, -4469232, -4469259?\n\"Answer: -27*r - 4469097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f**5 + 3604*f**4 + 97200*f**3 + 16100*f**2 = 0 for f.\nAnswer: -115, -35, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 143*o + 2. Let i(g) = g**2 + g + 1. Calculate -2*i(q) + 2*s(q).\nAnswer: 2*q**2 - 288*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 16, q - 6 = -0*q - x. What is the third derivative of 0*r**4 - 2*r**2 - r**4 - 2*r**q wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03306 * -0.5\nAnswer: -0.01653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 3*d + 118. Suppose 0 = -b - 6*b. Does 8 divide g(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*c**2 + 44*c**2 - 4*c**2)*(-3*c**2 - 7*c**2 + 4*c**2)*((-4 - 3 + 6)*(-2*c + 0*c + 5*c) - 2 + 2 - 2*c).\nAnswer: 2250*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from esueuesuuuskues.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 15 = -5*u. Let k be (u - (-75)\/21)\/((-8)\/(-196)). Solve 0 = -k*f + 11*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3\/3 - 5*m**2\/2 + 4*m - 88. Calculate u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + ((sqrt(120)*-1 - sqrt(120))\/sqrt(6))\/((-1*sqrt(90))\/sqrt(9)))**2.\nAnswer: 4*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from gkt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 483*l**3 + 25920*l**2 + 463644*l.\nAnswer: 3*l*(l + 53)*(l + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 7}. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 35. Calculate the remainder when 58 is divided by d(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2060, -4120, -6182, -8246, -10312, -12380?\nAnswer: -14450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1190 * -0.8\nAnswer: -952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 - 76*j**4 + 26 - j**4 - 6*j**4 + 2*j**4 + (-2*j + j - j)*(2*j**3 - 5*j**3 + 2*j**3) + 3*j**4 - 4*j**4 + 3*j**4.\nAnswer: -77*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y**2 + 20*y + 3. Let v(l) = -29*l**2 + 37*l + 5. Let t(s) = -11*o(s) + 6*v(s). Give t(2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(2*sqrt(66) + sqrt(66)) + sqrt(66))\/(sqrt(6) + 4*sqrt(6)*1 + sqrt(6)).\nAnswer: 5 + 19*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 17 = -5*n, 4*n - 4*s = 5*n - 21. Suppose n*w = -5*a + 14 + 46, -w + 3*a = -4. What is the remainder when 37 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -48. Suppose 2*x - 2*v = 28600010, m*v + 42899980 = 3*x + 7*v. Round x to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*n + 196 + 110, -n + 2*g + 87 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 406, -1462, 0 in descending order.\nAnswer: 406, 0, -1462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16472\/(-34272) + (-2)\/(-8). Let y = -1\/119 - i. What is the second biggest value in 5, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*z - 9*z - 21 + 20 in the form p + r*z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2*m + m + (1 - 2 + 5)*(3*m - 2*m + m) + (m + 5 - 5)*(1 - 3 + 1))*(-1 + 1 - 3*m)*(0 + 2 + 3) as d + y*m + g*m**2 and give g.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 17 - 1879*x - 20 to p + o*x and give o.\nAnswer: -1879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44484310 - -64673289. Let m = 20189103.00167 - d. Let r = m - 124. Round r to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.045?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571438?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/195, -89, 13.4?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6240 and 5222595.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24565.1 times -0.482\nAnswer: -11840.3782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:07 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:58 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 19 = 5*s. Let l(w) be the second derivative of 7*w**4\/12 + 5*w**3\/6 + 5*w**2 - 570*w. Let f(t) = -6*t**2 - 4*t - 9. Determine s*f(g) - 4*l(g).\nAnswer: 2*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 67340.\nAnswer: 67340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36a + 15?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1865 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4*b - 3. Let q = 14 - 12. Let k(a) = a + 1. Calculate q*k(o) + w(o).\nAnswer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let s be w(5). Let x = 17 + -22. Let v = x + s. What is the closest to v in 0.4, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 17, 0.3, -0.8, 2, 0.0696, 0.5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*o - 332 = 0, -1612 = -5*m + 51*o - 47*o. What is the highest common divisor of m and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*c - 14, 4*o = 3*c - o + 4. Suppose 2*u + c*u = j - 23, 0 = -5*j + u + 39. Calculate the smallest common multiple of j and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*b - 36. Let q(t) = -10*t - 17. Let z be q(b). Suppose -z*u + 48*u = 240. List 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 third biggest value in -11, 11, -0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -1 - -13)*-1. Let n(l) = l**2 + 13*l + 5. Let t be n(k). Let x(o) = o. Let g(b) = -3*b. What is t*x(d) + g(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -703 (b) -23 (c) 17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = -40. Find the common denominator of 85\/22 and 3\/30*(-390)\/w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + n + 1. Let s(q) = 6*q**2 + 3*q + 4. Let c be ((-70)\/25)\/(4\/10). Suppose -9*k - 168 = -69. Let a be k\/(99\/6)*-3. Determine a*s(m) + c*v(m).\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - r**3 + 212 + 155 - 367.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2. Let l(r) = -24*r + 155. Let m(z) = -11*z + 77. Let d(t) = 6*l(t) - 13*m(t). Calculate k(d(o)).\nAnswer: -o**2 - 142*o - 5041","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2154250?\nAnswer: 2154247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72178 + -29570. What is the greatest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2 + 5*s + 330. Let z be m(-14). Sort 0, 5, -4, z in decreasing order.\nAnswer: 5, 0, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f. Let u = f - 0. Is 2 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 12*p**2 + p - 1. Give y(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1270.4 + 1270. Which is the closest to 22\/5? (a) -2\/11 (b) 0 (c) r (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5. Let h(b) = -b. Let a(r) = 3*h(r) - o(r). Let g be a(-3). What is the highest common divisor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 20 = -4*j + 21, 4*l - 52 = 70*j + 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 9*x + 21. Let n = 49 - 43. Let o be h(n). Suppose 3*m - 1 = 8, -p + 2*m - 3 = 0. Solve -p*j = o - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 77 = 4*g, 230*k + g = 227*k + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/((-15)\/3))\/((9*(-64)\/(-432))\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x**2 - 11798 + 11798 + 14*x)*(41 + 0*x + 3*x - 43).\nAnswer: 60*x**3 + 2*x**2 - 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-6) - (1 + 49\/(-2)). Suppose -8 = -d*t + 26*t. Is -9 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 5*s**2 + 56*s + 60.\nAnswer: -(s - 6)*(s + 1)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263991?\nAnswer: 3, 7, 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306676 and 17028?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 120 = 0. What is the highest common factor of j and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -25*v - v**3 + 26*v**2 - 799 + 25*v**2 - 19*v + 898 - 9*v**2. Is 26 a factor of b(40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11020954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 133, -5.\nAnswer: -5, -1, 4, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-30) + (-5)\/((-50)\/96). Solve 16 = 2*l + d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10*t**2 - 6*t + 49. Let b(n) = -29*n**2 + 17*n - 149. Give -6*b(c) - 17*s(c).\nAnswer: 4*c**2 + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52273*i**2*o*s - 10*i**2*s + 4*i*o + 2266*i + 25*o - s wrt i.\nAnswer: -104546*o*s - 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a8 - 60ec?\nAnswer: -6044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -6*k**5\/5 - 188*k**4\/5 - 692*k**3\/5 + 384*k**2\/5 + 3114*k\/5 + 972\/5 = 0.\nAnswer: -27, -3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 99 = -77. Solve n = 3*c - c - 3*j, 0 = -3*c + 2*j + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 174, 367, 644, 1011, 1474, 2039, 2712?\nAnswer: 3499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 5886a68?\nAnswer: -5886a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 36*i - 80. Let x(l) = -39*l + 86. What is -3*a(b) - 4*x(b)?\nAnswer: 48*b - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 280 - 59*o + 40*o - 56*o + 8*o**2 - 3*o**2.\nAnswer: 5*(o - 8)*(o - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030 is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 292851011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z + 2*a, 5*a + 15 = z - 12. Solve 4*v + f = -f + 8, -f = 3*v - z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*n**3 - 157*n**3 + 314*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2352)\/40)\/(-42) + ((-1096)\/(-20))\/(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + (4*((sqrt(343) - sqrt(343)*-1) + sqrt(343) + sqrt(343)) - sqrt(343)) + sqrt(343)*1*-4 + 1)*6)**2.\nAnswer: -5544*sqrt(7) + 1494149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746342403.\nAnswer: 3, 401, 620401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094123 to the power of 1\/2, to the nearest integer?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/3)\/w**(-14))\/(w**(-5)\/w*w)**(-12\/11) assuming w is positive.\nAnswer: w**(359\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-75)*2\/(-12)*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 551 - -236. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71861 + 2*t**3 - 71861.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -96 + 7?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -314 + 313. What is the nearest to 0.3 in p, 5, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 15*x + 34. Let d be i(16). What is the highest common divisor of d and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let m = -341 - -360. Suppose -2*o = -4*g - 5*o - m, -8 = 3*g + o. Let u(f) = -3*f + 1. What is g*u(s) + 5*d(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 13*a + 150 = 0. Let r be -3379994 - (0\/a - -6). Round r to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 261 = 3*h + 301, 9*b = -2*h + 3*h + 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 15*s - 2. Let p(c) = -13*c + 2. Let y(a) = 6*p(a) + 5*x(a). Calculate y(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 12:34 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 20\/17787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 65. Let z = 15 + k. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - -37. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 103. Let p be 46\/(-112) + 4\/14. Let v = -3\/8 + p. What is the nearest to 2 in v, i, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 997236*j**3*o**2 - 10*j**2*o**2 - 33*j**2 - 64*j*o**2 wrt j.\nAnswer: 5983416*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 2. Let w(c) = 4*c - 143. Give w(u(m)).\nAnswer: 4*m**2 - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuww when four letters picked without replacement from {t: 1, w: 4, u: 2, h: 1, j: 8}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 452125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (-14 - -71)) + 70?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*y + 135, 88 - 16 = y - a. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g = -23*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -3 - (-60 + (4 - 34) + 12)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 210451 (base 6) in base 13?\nAnswer: 7996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/(-8)*20\/(-55)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*y + f, -2*f + 26 = 5*y + 22 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -36, -3, 977 in increasing order.\nAnswer: -36, -3, 0, 3, 977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Let j(z) = z**3 + 9*z**2 + 9*z + 10. Suppose 4 = b + 12. Let s be j(b). What is the highest common divisor of g and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2 = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y**2 - y**2)*((3*y**2 + 4*y**2 - 3*y**2)*(2 - 2 + 2*y) + (-2*y**3 + 3 - 3)*(19 - 23 + 44)).\nAnswer: 72*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 275 + 46 = -2*p, 0 = -5*p. Suppose 5*f = f - 3*s + l, -2*s = 3*f - 81. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2151575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 5:11 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhchc. What is prob of picking 1 c and 3 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 1:23 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.989 + -0.011. Let c = u + 25.1. Sort 3, -1, c in ascending order.\nAnswer: -1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4503 + -159.5503. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2. Let k(i) be the first derivative of 2449*i**2\/2 + 2414. Calculate g(k(a)).\nAnswer: -11995202*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o - 115. Calculate b(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.7, 3, 0.05, -10, 1\/15, 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d. Let l(f) = -721*f**2 + 1. Calculate y(l(u)).\nAnswer: 4326*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (-22)\/11*(2 + -16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 - l + 3. Suppose 2*a = -4*a - 36. Let m be 0*(a\/9)\/((-12)\/(-9)). Suppose 5*q = -i + 2, 4*i - q - 29 = -m. Give b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b. Let l(p) = 7 - 28 + 4 + 10 + 8. Determine -2*l(q) + t(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 - 33*t + 3. Calculate p(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 591*x - 589*x + 10217, 0 = 4*x - 8. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4693, -9385, -14077, -18769, -23461?\nAnswer: -28153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*c**4 - 39*c**4 - 23*c**4 + (2*c**2 + 3 - 3)*(-1 + 1 - 2*c**2) + c**4 + c**4 - c**4.\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 8, t: 4, j: 2}. What is prob of picking 1 u and 1 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, t: 5, m: 1, w: 6, c: 4}. What is prob of sequence cm?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, u: 2, a: 1, v: 1, r: 1}. Give prob of sequence sv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - 0.24. Let p = -1 + 1.2. Let q = p - 0. Which is the third smallest value? (a) 2\/9 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-60)\/15)\/(-3 + 10\/3). Let h = m + 51\/4. Suppose 6*v - 12 - h*v**2 = 0. Calculate v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -3, 2154328 in descending order.\nAnswer: 2154328, 47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1 (c) 2356 (d) 2\/261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2287 - -997. Let i = k + 10269\/8. What is the common denominator of i and -83\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 + 195. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3224 times 8\nAnswer: -2.5792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.4 (c) 10 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4518544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074868249 less than -0.01579?\nAnswer: 1074868248.98421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574445 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.03 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v**3 + 0*v**4 - 4*v**2 + 0*v**7 + 1\/84*v**8 + 0*v**6 + 0 - 7\/20*v**5 + 0*v. What is the third derivative of k(p) wrt p?\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*u**2 + 240*u**2 - 121*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-387)\/(-45) + 3\/(-5). Suppose 4*d - 53 = -5*f, -g = -4*d + 2*f + 10. Solve -d = 2*i - 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 1. Let h(q) = 3*q**3 - 4. Let o(l) = -6*l - 29. Let s be o(-5). Let i(x) = -45*x + 44. Let m be i(s). Calculate m*h(u) - 3*b(u).\nAnswer: -6*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*((m\/m**(-3\/5))\/m)\/m*m)\/m**(3\/7)*m**11\/(m**5*m) assuming m is positive.\nAnswer: m**(251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 843\/7 or 119?\nAnswer: 843\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.5, 21078\/9011, 1 in increasing order.\nAnswer: 0.4, 0.5, 1, 21078\/9011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 3*f**2 - 3*f - 3. Let t(g) = -g**3 + 2*g**2 + 2*g + 2. Let s be (-1)\/5 - (-16)\/5. Let m be ((-4)\/6)\/((-2)\/6). What is m*o(u) + s*t(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13194 + -13148. Calculate the greatest common factor of 15778 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715*t = -707*t. Let z(a) = -a + 1. Let m be z(-4). Suppose -3*n = t, m = f - 4*n - 17. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6378 is divided by 220.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:25 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(140)\/sqrt(5) - sqrt(28) - sqrt(28))\/(1*sqrt(4)*-1))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 4. Let s be 4\/p*(-15)\/6. Suppose 0 = -s*h - 11 + 41. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -351 + 369. Calculate the remainder when 34 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10536 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 + g + 1. Let v be d(-1). Sort -2, v, 1 in descending order.\nAnswer: 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 33213104?\nAnswer: -33213101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (83842\/1133)\/(-1*2)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.16, 1, 9\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 3561*g - 31806.\nAnswer: -3*(g + 9)*(g + 1178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 59 + 69 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s - 6. Let k(o) = o**3 - 15*o**2 + 2*o - 16. Let b be k(15). Let p = -8 + 28. Let g = p - b. Let i(q) = 6*q - 5. What is g*i(l) - 5*t(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 16067 - 14965. What is the greatest common factor of 5491 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238944.\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34583*m = -34597*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 244187481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287483*z - 4*k = 287486*z - 6*k - 59, 2*k = -3*z + 67 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g - 1. Let t(q) = 2*q**2 - 5*q + 7. What is -6*n(z) - t(z)?\nAnswer: -8*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -10, -36?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let v(b) = 1. Let t(s) = 2*s - 2165 + 2166 - 3*s - s. Give i*t(c) + 3*v(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -702.7 to the nearest 10.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 93 = x, -2*f + 26 + 4 = -2*x. What is the highest common divisor of 27 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -2) + 17 + 15\/(-3). Suppose 0 = 3*t + f, 0 = -0*n + 2*n - t - 9. Let c be 4*n\/(-18) + (-28)\/(-6). Solve c*w + 5*v = 8, 3*v - v - 17 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14872 and 2197?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-28))\/(o\/(o\/((o*o\/o**2)\/o*o))))**(3\/28) assuming o is positive.\nAnswer: o**(-81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1845*i**3*o**2*y + 13*i**3*o**2 + 4*i**2*o**2*y + 63*i**2*o*y - i*o*y - o**2 wrt i?\nAnswer: -11070*o**2*y + 78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*j + 25. Let g(n) = -n**3 - 7*n**2 - n + 9. Let w be g(j). Suppose 0 = -6*u + 3*u - 4*l + w, 0 = -u + l + 10. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50431 divided by 1363?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + c**3 - 2*c**3 - c**2 + 18*c**3 + 0*c**3 + 3*c**3 + (0*c**2 + 2*c**2 - 3*c**2)*(-3*c + 0*c + 5*c) + c**3 + 3*c**3 + 3*c**3.\nAnswer: 25*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4148 and -308.\nAnswer: -4456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 36 = 9*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*j**3 - 34*j**3 - 4*j**3 + (0*j - 2*j + 0*j)*(18*j**2 - 88*j**2 - 12*j**2).\nAnswer: 109*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -654, -2586, -5812, -10338, -16170?\n\"Answer: -i**3 - 641*i**2 - 2*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.95 + 3.95. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*z + 15, 0*n - 4*n - 4*z = 12. Suppose 0 = 5*u + 5*p - 25, -3*u + 2*p - 4 + 14 = n. Let d = u - -4. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 2*f + 0*f + 257 as b + r*f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 33*a**2 - 936*a - 27091. Give q(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {a: 5, b: 6, m: 1, g: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 68538285 take away 5733?\nAnswer: 68532552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let o = -0.9 + 4.9. Let t = 3.6 - o. Sort k, -0.3, t in descending order.\nAnswer: k, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173\/4 + 43. What is the fourth smallest value in p, 4, -3, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2\/5 - 36742534*m\/5 = 0.\nAnswer: -18371267, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 0*w**3 + w**3 + 0*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(119)\/sqrt(7))*-3*-6*6)**2.\nAnswer: 793152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/60 + 3*w**3 + 263*w**2 + 3*w. Let k(h) = 24*h. What is k(i(y))?\nAnswer: 24*y**2 + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**4 - 2*t**4 - 2*t**4)*(-3*t - t + 3*t) + 34*t - 27*t**5 - 34*t.\nAnswer: -29*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*v. Let j(z) = z**2 - 87 - 2*z + 40 + 41. Let g be j(v). Sort g, -1\/18, 5, -2\/9 in descending order.\nAnswer: 5, -1\/18, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -618, -713, -808?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39092606 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -22. Let g be f\/(-2 - 7\/(-2)). Let w(o) = 7*o - g*o - o - 6*o. Let m(j) = 23*j. What is m(w(d))?\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.82314, -3, -4, -14, 0.6 in descending order.\nAnswer: 0.6, -0.82314, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8967033?\nAnswer: 3, 23, 43319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339 and 3753069?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 17, -87?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 + -286 - (-1 - -7) - 18?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10265465, 10265463, 10265463, 10265465, 10265469, 10265475, 10265483?\n\"Answer: a**2 - 5*a + 10265469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0037 - 1248425\nAnswer: -1248424.9963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71365 and 591395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + 3 - 20*t to the form c + y*t and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 192362097 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -268341*z + 268355*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*o + 24 = 0, -2*o = s - 4*o + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*g + 5*g + 67, -43 = 2*s + 5*g. Suppose -3*d = -q, -5 = -2*q + q - 2*d. Solve -4*a = q*m - s*m + 5, -3*a = 3*m + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-3 + 9)) + (-36 - -47) + -11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*k - 4, -r + 20 = 7*k - 11*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 15. Suppose 2 = 3*h + s*m + 10, 0 = h - 4*m - 20. What is the second derivative of 3*w - 4*w**h + 2*w**4 + 0*w wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1841\/4 - 461. What is the smallest value in 4, m, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-75 - -71 - (-2 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8198917 is divided by 147?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 1344. Let i(a) = 2*a - 10. What is i(k(n))?\nAnswer: 4*n + 2678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6136 - -a0?\nAnswer: 61d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {u: 2, e: 4, v: 1, y: 3, h: 4, i: 6}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1653, 651, -8, -1 in decreasing order.\nAnswer: 1653, 651, 7, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112902389297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**2\/2 - 10*w + 4. Let s be l(-12). Which is smaller: s or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*r - 1, 5*r + 52 = y + 19. Suppose 2*x = -y*l + 410, 4*x = 2*x - l + 417. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/q**4)\/q)\/q*q*q*(q**(-1\/6)\/q)\/q*q*q**(-19\/2)\/(q\/(q*q\/q**(-18))))**(-27) assuming q is positive.\nAnswer: q**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 4\/45*y**3 + 0 + 1\/30*y**5 + 0*y**2 + 4\/45*y**4 + 1\/225*y**6 + 30*y. Determine s, given that k(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + (-14)\/(-10). Suppose 7 = -x - t. What is the common denominator of ((-10)\/x)\/(-5)*-73 and 23\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3 = 3*v. Let a(o) = 2*o. Let i(l) = l. Let w(k) = -k**3 + 2*k**2 + 11*k - 10. Let p be w(4). Determine p*a(c) + v*i(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 18 = -13*n. Solve 0 = 3*o - 2*o - 2*w + 4, n*w + 12 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5225 - -54654?\nAnswer: 46426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -m - 23. Let p = m + 527\/4. Is p greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287443 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 9*p + 15 - 25*p + 4*p**2.\nAnswer: 4*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpiv when four letters picked without replacement from rppvgpggirvriggi.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:36 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0, -185?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18177 is divided by 303?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a second in milliseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 32*v**2 - 1162*v - 2445. What is l(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144666247\/2 or -72333123?\nAnswer: -72333123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2004 and 450835204.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9*11\/(-66)*(-4 - 42\/9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose 0 = -3*u - 2*d + 85, k = 3*u + 4*d + d - 82. Suppose -5*j + 46 = -u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*a**5 + 8*a**3 - 802*a - 4 wrt a?\nAnswer: 2420*a**3 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -119. Let f = x - 21. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 + 3336\/16. Find the third derivative of 210*f + 3*f**2 - 6*f**3 - b*f wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1264171138, -2528342277, -3792513416, -5056684555?\nAnswer: -6320855694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/131, -37, -1\/178?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -79, -136, -213, -316, -451, -624, -841?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*t - 7*t - 12, -5*w = 5*t + 15. What is the units digit of (39\/(-2))\/(t\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 42\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 3*r + 7. Let g(p) = p**2 + 2*p - 7. Let q(u) = 3*c(u) + 2*g(u). Give q(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19414038 to three dps.\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 + 7. Suppose -6 = -5*y + 3*y. Let d = -4 - y. Is f(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 6. Let r be i(5). Let l be -3 + r\/(3\/(-18)). What is the units digit of l*(-3 - (-25)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1671, 1602, 1525, 1434, 1323, 1186, 1017?\n\"Answer: -a**3 + 2*a**2 - 68*a + 1738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930527805 is divided by 3008?\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.21 from -81078.\nAnswer: -81078.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 4)*3)**2.\nAnswer: 864*sqrt(7) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 79. Let y be (-1 + 4)\/(3 + i). Solve -y = 2*w - 5*x, -2*w - 2*x = -3*x + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118 and 454.\nAnswer: 26786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmgymxmxxmyyymyx. What is prob of picking 2 m and 1 y?\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*z - 0*z + 3, -3*z - 27 = -4*y. Suppose 0 = 2*n - 19 + y. Calculate the smallest common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 372 from -57.687951.\nAnswer: -429.687951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**2\/2 - 6*g + 11. Let n be q(-6). Suppose 0*w = -2*w, n = 4*m + 4*w - 36. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(17\/2))\/x**(3\/7)*x**(-18)\/x**4 assuming x is positive.\nAnswer: x**(-167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/12 - 5*q**3\/6 + 5*q**2\/2 + 8*q. Let m(p) = -1 - 1 + p + 1. Let c be -17 - -30 - 10\/1. Calculate c*x(j) + 15*m(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b - b**2 + b + (20*b**2 + 0*b**2 + 55*b**2)*(b + b + 2*b).\nAnswer: 301*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 399464 and 176?\nAnswer: 8788208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52954 or 12\/11?\nAnswer: -52954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + -1)*9 + 191\/27 and 2\/3 - 445\/90.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(-2)\/3. Let u = 44463 - 44465. What is the nearest to 2\/115 in y, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 9*i**2)*(2*i - 3*i + 2*i + (2 + 2*i - 2)*(2 - 2 + 1) - i + 2*i + i - 3 + 3 + 2*i)*(i + 6*i**2 - i).\nAnswer: 378*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24630879099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 2. Let t be n(-2). Let f(z) = -z**2 - 2*z. Let c be f(t). Let v(b) = -b**2 - 9*b - 5. Let m be v(c). Are 4 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7988)\/2128 + 4 - (-89)\/(-2492)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/30)\/(((-19)\/76)\/((-135)\/(-20)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 305 - 303.7. Sort 5, 0.4, -3\/2, k in descending order.\nAnswer: 5, k, 0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**2. Let n(t) = t**2 - 8*t + 8. Let i be n(4). Let k(l) = -3*l + 3. Let m(q) = 7*q - 8. Let a(s) = i*k(s) - 3*m(s). What is a(w(x))?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -0.5 (c) 1.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3066712 - 22?\nAnswer: -3066734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -1.5, 2\/17, -5, -139?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10d4 (base 15) to base 3.\nAnswer: 11220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1199\/48 - -11\/48. What is the common denominator of c and (((-6)\/(-8))\/1)\/((-54)\/368)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 28581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12196257217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3 - 26 = -u, -5*u - 5 = 4*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (0 + sqrt(931) + 0)**2) + -3.\nAnswer: -934 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -46887.\nAnswer: 562644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53869?\nAnswer: 103, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 15 = 2*a, -3 = -4*a - a + f. Let w(i) = 940*i**3 - 2 - 465*i**3 + 8 + i**2 + i - 476*i**3. Determine w(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -826670, -1653458, -2480366, -3307394, -4134542?\nAnswer: -4961810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(2\/8)\/((-378)\/112). What is the nearest to 0.1 in 0, k, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*w**2 + 9*w**2 - 7*w wrt i.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 + -245. Let v = 79 + x. Solve -5*i = -v*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.066 (c) -0.02 (d) 4\/3 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**5 + o**4 - o**3 + o**2 + 2*o. Let i(t) = -3*t**5 + 2*t**4 - 2*t**3 + 3*t**2 + 7*t. Let a(v) = -6*i(v) + 21*n(v). Let a(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 148*x**2 + 155*x - 2889. What is c(-149)?\nAnswer: -3783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 631*m**2 + 20878*m + 56979201 wrt m?\nAnswer: 1262*m + 20878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -38*d**2 + d + 2. What is m(-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121020111 (base 3) in base 16?\nAnswer: -c805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 66*w - 1932. Determine p(88).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1359456 and 336056?\nAnswer: 479887968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - (2 - 4)) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (6\/(-18))\/(3\/(-9)) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -15270?\nAnswer: 49\/15270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7 = -49. Calculate the greatest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3635341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o - 4 + 4 - 7. Let t be z(-6). Let b = 102 - t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 o when three letters picked without replacement from oazzuvr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or 6\/24067?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -5 - (11 + -5 - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.153\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 1\/3, -37, 0.1, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81 in 5, -2119.23, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(432)\/sqrt(9) + sqrt(27)*-5).\nAnswer: 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*j = -593*j - 822 + 4314 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 4 (c) 66 (d) 10\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 7*m + 7. Let k be h(-7). Suppose -4*w + k = -56. Suppose -2*i + w = -0*i. What is the remainder when 40 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97\/13 in -3, 2\/9, 0.02?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-426)\/(-355))\/(((-6)\/(-15))\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*s**2*y**3 - 3*s**2*y + 4*s*y**3 + 95*s wrt y.\nAnswer: -522*s**2*y + 24*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*x + 20. Suppose -x*g + 258 = h, 6*g + 387 = 9*g + 3*h. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/763 - 19093\/4578. Find the common denominator of 21\/16 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -6 - 4\/5*h**5 + 0*h**4 + 5\/3*h**3 + 0*h + 0*h**2. What is the third derivative of w(z) wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 732\/120 - (-3)\/(-2). What is the closest to -0.1 in o, -2, -12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -622\/7 - -89. Which is the third biggest value? (a) -0.5 (b) 0.08 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**2*k))**(2\/35)*(k**4\/k*k)\/(k*k\/k**(6\/5)) assuming k is positive.\nAnswer: k**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 8dba24c?\nAnswer: -8dba252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/4*r**3 - 5\/4*r + 5\/2*r**2.\nAnswer: -5*r*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15693164 a multiple of 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 - -44 - (8 - 8 - (-8 + 0)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/328 and -113\/10?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245431151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/992 or 1?\nAnswer: 1\/992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35090)\/(-12155) + (38\/(-34) - -1). Which is the second biggest value? (a) 2\/5 (b) 0.01 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 1, y: 1, k: 1, d: 4, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(405)\/sqrt(5)) - (-6*(sqrt(17) + 1)**2 + (sqrt(17) - (-5 + (sqrt(17) - (sqrt(272))**2)))).\nAnswer: -169 + 37*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/12*(-126)\/28)\/(-2)*-4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1b2 (base 12) to base 16\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 225408744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 451 - 449. Find the second derivative of -o*u + 1894*u**2 + 32 - 1894*u**2 - 126*u**3 wrt u.\nAnswer: -756*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-4) - 5\/1. Let d = 1.1412 - 1.1212. What is the second biggest value in d, c, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 671486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*r = 695 + 3770 + 2960. Does -8 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042139427?\nAnswer: 3, 7, 49625687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1020 - -4141143?\nAnswer: 4142203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 62 + 9*h)*(0*h**4 + 0*h**4 + 2*h**4 + (-h - 4*h + 4*h)*(0*h**3 + 2*h**3 - 3*h**3) - 63*h**4 + 109 - 109 - h).\nAnswer: -540*h**5 - 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 5, -5\/4 in increasing order.\nAnswer: -11, -5\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 27*m**2. Let p(b) = -47*b. Let k(r) = 20*r. Let s(u) = -5*k(u) - 3*p(u). What is s(f(l))?\nAnswer: 1107*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*y - 3 = -547*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from edyydtyyyyeyyyydeeey?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2))**(-3))**36)**7 assuming o is positive.\nAnswer: o**1512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - 64. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.0753678\nAnswer: -0.4522068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5912974*j**3 - 9978600?\nAnswer: 17738922*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 6*p + 780. Let i(d) be the third derivative of -d**2 + 0 + 0*d**3 + 1\/315*d**7 - 2\/45*d**5 + 2\/9*d**4 - 1\/90*d**p + 0*d. Factor i(m).\nAnswer: 2*m*(m - 2)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s + 12. Let y be h(5). Let x be (-17 - y) + 4\/1. Solve 0 = -b - 0*f + 3*f - 2, -4*b - f + 5 = x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = -3*s, -2*s + 3*s + 29 = 4*z. Suppose -3 = -z*r + 5*r. Sort r, 44, 5 in increasing order.\nAnswer: r, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 158?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -16*u - 84. Suppose x = -0*x - 4, 0 = -6*g - 2*x - 62. Let d be s(g). What is the highest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/29))**6 assuming r is positive.\nAnswer: r**(18\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 - w**5 - 4*w**5 + (-7*w + w + 2*w)*(-11*w**2 + 3*w**4 + 11*w**2).\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -24, -4, 36, 102, 200?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-22)*(-25)\/(-15). Let l = i + 38\/143. Which is the second biggest value? (a) 0.5 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 1278, 2860, 5088, 7968, 11506, 15708?\nAnswer: 20580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - 2*k - 1 + 6*k**4 - 3*k**4 - k**4 - 33 - k**4 + 0*k**4 + 0 + (0*k**3 + 6*k**3 + k**3)*(3*k - k - 3*k).\nAnswer: -6*k**4 + k**3 - 2*k - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202320030 (base 4) to base 5.\nAnswer: 14032420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:06 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*(147\/294)\/(3\/24)*1.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.806026 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v. Let l(q) = -9*q - 7. Let a(c) = 4*c + 3. Let x(s) = -14*a(s) - 6*l(s). Determine x(r(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1178)\/21204)\/((-1)\/234) + (3 + -2 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:06 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3\/2 (b) -3\/5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 1, i: 5, y: 1}. What is prob of picking 1 e and 2 f?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-10) - 2)*(2\/(-180))\/(325\/(-1950)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 98682 (b) 2 (c) -1 (d) -0.5 (e) 3 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -363 by 131.\nAnswer: -363\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 88018?\nAnswer: -88026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2.42 (b) -0.1 (c) 2\/19 (d) -1 (e) -4.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:19 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 7*w**2 - 5*w + 1. Let a be h(-6). Sort -2, a, -4.\nAnswer: a, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*u - 802*u + 265*u + 269*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 11 - 25\/2*v**2 + 9\/4*v**4 + 24*v + 0*v**3. Let p(n) be the first derivative of h(n). Differentiate p(c) wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29954.\nAnswer: 2, 17, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 11.5. Let m = s - -3.9. What is m rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -3 (c) -0.15 (d) 1\/2 (e) -46\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Let q be ((-7)\/(-6))\/(2\/12). Suppose p + 3*v = -q, 4*v = -5*p + 1 - 3. Solve -p + 4 = r*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b**2 - 5*b - 5. Let c(d) = -11*d**2 + 4*d + 4. What is -5*c(m) - 4*q(m)?\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 149*p + 1296. What is the thousands digit of h(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 21*p**2 - 80*p - 30. Calculate f(5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -228355 or -228354?\nAnswer: -228354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 456\/78 + 4\/26. Suppose c = -2 + b. Suppose c*i - 16 = 4*s - 8*s, -i = -s. Solve s + 1 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -29*v**3 - 45*v**2 + 80*v - 54. Let d(g) = 25*g**3 + 44*g**2 - 84*g + 55. Let p(y) = 6*d(y) + 5*z(y). Factor p(s).\nAnswer: (s - 1)*(s + 10)*(5*s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 2. Let z be v(3). Let q(l) = 2*l + 1. Let m be q(z). Find the second derivative of -2*c + c - c + c**m wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110110010101001011101000 - 0?\nAnswer: 11110110010101001011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/120 - 7*t**5\/60 - 5*t**4\/24 - 7*t**3\/6 - 3*t**2. Calculate the remainder when 32 is divided by m(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 31. Give r(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -259.\nAnswer: -259, -5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 - 2*x + 2. Let c be s(1). What is the remainder when 29 is divided by 1 - c - (-6 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*o + 45, 5*o - 6 = -3*z - 16. Solve 3*s + 2*w - 3 = 0, 4*s + 13 - 10 = -z*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -183, 37\/13, -1\/4, 1, 4 in decreasing order.\nAnswer: 4, 37\/13, 1, -1\/4, -1\/2, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -5\/2*b**4 + 4*b + 0 + 95\/6*b**3 - 15\/2*b**2. Solve s(x) = 0.\nAnswer: 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)*2*2. Let l = 1443 - 1440. Suppose -2*b = k*u - 5212, -l*b = -4*b - u + 2603. Round b to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1286*j**4 + 48*j**3 + 1088*j**2 + 8*j + 1764848 wrt j.\nAnswer: 15432*j**2 + 288*j + 2176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*j + 12. Let m be j\/(-10)*4 - -3. Let s(n) = -n + 1. Give s(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x - 5. Let o = 15 - x. What is the least common multiple of 12 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/16 + 2\/(-2). Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d\/(d*d**(2\/3)*d)))\/d*d)**(-12)\/(d**2*d*d**(-1\/8)\/d))**(-2\/87))**37 assuming d is positive.\nAnswer: d**(6475\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h**2 - 2 - 5*h + 4*h**3 - 4 - 5*h**3 - 2*h**2. Is t(11) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1011*q**2 - 509*q**2 - 2*q - 2 - 504*q**2 to r + j*q + p*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1744, 1617, 1442, 1195, 852, 389, -218?\n\"Answer: -4*w**3 - 99*w + 1847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - (sqrt(51) - 2*sqrt(51)))\/sqrt(3) + 3)**2 + (3*sqrt(2057)*3)**2 + sqrt(2057).\nAnswer: 23*sqrt(17) + 166694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 + 14*b + 15. Let h be x(-6). Is -33 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427901497.\nAnswer: 373, 1147189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61573081 + 5?\nAnswer: -61573075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-51)\/(-2040))\/((-3)\/24). Let v be (-2 - -3)*(-2)\/(-7). Which is the nearest to v? (a) r (b) 1\/4 (c) -5\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -1253523?\nAnswer: 1253512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 2 - 3 + 1.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 16*k**3 - 4880*k**2 - 4873*k**2 + 9753*k**2.\nAnswer: -16*k**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1306814 - -2.103521\nAnswer: -1306811.896479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 29862.96 to the nearest 100.\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7*2)\/(3 + -2). Let m be (-4 - -2)\/(y\/49). Suppose m*j = -375 + 1019. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaaaogagoaaaaaaaa. What is prob of picking 2 a and 2 g?\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 3 (b) -24 (c) -20 (d) -0.28 (e) 2\/9 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 1. Suppose -5*s + 4*a = -a - 10, 3*s + a - 2 = 0. Let u = s + -1. Suppose -2*h + h - 1 = u. What is c(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.28, -75, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (13 + (-4 - -7))) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -169*s**5\/30 - 1313*s**4\/12 + 413*s**3\/6 - 12*s**2 - 10768. Let y(p) = 0. Calculate p.\nAnswer: -16, 0, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/65680 and 3\/65680?\nAnswer: 65680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -536 or -993?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*p + 93841 = 104583 for p.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1914 or -1915?\nAnswer: -1915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.31 (b) 2\/3 (c) 4\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21 and 4212?\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 1 = -0*k + 3*k - 7, 0 = t - 4*t - 2*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 - 4*w**3 + 5*w**3 + (-3*w**2 - 2*w + 2*w)*(-7*w + 6*w + 5*w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 20, -3, 2\/1115 in decreasing order.\nAnswer: 20, 1\/6, 2\/1115, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31001298 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*u**3 + 816*c**3 - 623*u**4 wrt u.\nAnswer: 6*c**3*u**2 - 2492*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**2 + 9*i**2 + 6*i**2 + 2*i**2 + 10*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73687 is divided by 1639.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 223207?\nAnswer: 223207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 7566?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.811 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 480097412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 4*u**2 - 2*u + 17. Let o be m(-10). Let n be 7*13\/(o\/14). Factor -t + 1\/2*t**4 + 5\/2*t**2 + 0 - n*t**3.\nAnswer: t*(t - 2)*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k = 21*k - 254075. Let g = -24836 - k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, c: 2, t: 2}. What is prob of picking 2 c and 1 t?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9*o = -4*m + 29, 5*o + 13 = 3*m. Suppose -2*h + m + 8 = 0. What is the greatest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccrrccccrcc. What is prob of picking 2 c and 2 r?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*c - 4, 0 = -35*g + 31*g - 4*c + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 77\/28 + (-1)\/(-4). Let n be w - (-3 - 6)\/3. Which is the closest to 1? (a) 2\/5 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -235*g**3 - 73324*g**2 - 1239*g + 2800. Calculate s(-312).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 82. Calculate the highest common factor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(720) + 0.\nAnswer: 3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and 62053429.\nAnswer: 62053438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-3 - (-2 + 0)). Let q be 1*((-32)\/(-48) + b\/(-3)). Let r(f) = -f**2 + 2*f - 7. Let v be r(5). Sort 5, q, v, -3 in descending order.\nAnswer: 5, q, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9316?\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9422, -9430, -9450, -9482, -9526, -9582, -9650?\nAnswer: -9730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/4763? (a) 2\/9 (b) 3 (c) -2\/9 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 4*u + 4. Suppose -13*p = -8*p - 40. Suppose p*g = -g - 45. Let m(k) = 2*k**2 + 5*k + 5. Determine g*j(o) + 4*m(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*c = -114*c + 14 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -21 + 0*u**3 + 9*u**2 - 2*u**2 - u + u**3 + 28. Does 15 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, 129, 429, 851, 1395, 2061?\nAnswer: 2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402910203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 23, 40, 75, 134, 223, 348?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -86*t - 571. Let q be b(-7). Solve 0 = 12*l + q - 79 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) -4 (b) 0.2 (c) 6.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*u + 34, -u = 2*u + 4*w - 38. Solve 3*i - 3*x - u = i, 2*i - 5*x = 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81 or 1\/183844?\nAnswer: 1\/183844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, 7 in increasing order.\nAnswer: -5, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -20. Which is the second biggest value? (a) 1\/3 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/9 + (-248)\/(-12). Let y = -18 + p. Suppose -3*w + 5 = 2*w + y*k, 2*w + 17 = -5*k. Solve 0 = -w*h - h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/3)*h**(-3\/5)*h*h*h*h\/(h*h\/(h*h\/(h\/(h**6\/h*h)*h))*h*h*h)*h**(1\/3)\/h*(h\/(h**(2\/3)\/h)*h)**(8\/13)\/(h**(-1\/11)\/(h*h*h*h**3)) assuming h is positive.\nAnswer: h**(25583\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-2)\/10)*(-1547)\/364*1.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -12. Suppose -2*p - o - 706 = -3*p, -2*o + 3509 = q*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -443?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10231 - 7742. What is the highest common factor of 95 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*s - 57*s + 0 + 10 + 24*s as t*s + o and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60*(81287\/4060 - 20)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2870*c*p + 34*c*q - 79*p*q - 4*p wrt q.\nAnswer: 34*c - 79*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6128015?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24759?\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129\/92 - -15\/23. Let f = 25.11 + -0.11. Let y = 25.3 - f. Which is the third biggest value? (a) m (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.946 - -13.745. Which is the smallest value? (a) -1\/2 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7800992 litres in millilitres?\nAnswer: 780.0992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4850 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8115717 - 1.117\nAnswer: -8115718.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -20*l - 304. Let f be r(-16). Does 22 divide 15732\/f + (-3)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*((t*((t\/(t\/t**(-30)))\/t)\/t)\/t)\/t)\/(t*t*t**(-9)*t*t\/((t**(1\/12)*t)\/t)) assuming t is positive.\nAnswer: t**(-275\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 35 = -16*p. Calculate the lowest common multiple of 107 and p.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 222.04. Let u = -0.46 + t. Which is the fourth smallest value? (a) 0 (b) 0.3 (c) 3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316154 is divided by 105382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-1 - 1) - (20 + 6 + -7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404792217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvv when three letters picked without replacement from vhbevhvebbvkvvveveeh.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a - 128\/19*a**2 + 0 + 160\/19*a**3 + 2\/19*a**5 - 34\/19*a**4.\nAnswer: 2*a**2*(a - 8)**2*(a - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66.745 - 49.76. Let m = -61 + 78. Let r = m - j. Round r to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 115117448*b\/13 - 1656503354254088\/13.\nAnswer: -2*(b + 28779362)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 7*q**2 + 5*q + 39. Let g be j(-7). Suppose -3*d = 15, 15 = -g*l + 11*d - 14*d. Let n(i) = -i + 1. What is n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165787 divided by 193?\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 16. Suppose 6*r - 2*r = 32. Let c = r - b. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -15.3 (b) 2 (c) -206 (d) -60\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4963 and 4963?\nAnswer: 4963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181.992 - -182. What is n rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 7807 + 15607 - 4*u - 7807 + u**3 + 3*u. Calculate b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 6*r - 43. What is the remainder when j(8) is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 4*u**2 + 2*u**2)*(3*u**2 + 2*u**2 - 7*u**2) - 5 + 5 + u**4.\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 114*d + 1315. Let t be n(13). Let m(y) be the second derivative of -5\/6*y**3 + 0 - 1\/12*y**4 - 26*y - 5\/2*y**t. Give m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 + -174. Let t = -45 - -86. Suppose -2*j + t = 131. Does j = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(102) - (-2*sqrt(102) + sqrt(102)) - sqrt(102)))\/sqrt(6) + -2.\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 127, 93, 59, 25?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/4 - (-2 + 5). Suppose -32 = 5*j - z*j. Solve -5*a = 2*r - 3*a - 8, -2*a - j = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33049, -65801, -98541, -131263, -163961, -196629, -229261?\n\"Answer: b**3 - 32759*b - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4338.06586 - -4337.7. Round x to three decimal places.\nAnswer: -0.366","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.05 (b) -5 (c) 0.338 (d) -1032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -1\/4, -4, -4959, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, and 2 o when four letters picked without replacement from bfioobbobb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09682 + 0.06091. Let p = 1.59396 + w. Let u = p - 1.75. Round u to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14005062 and 14005062.\nAnswer: 14005062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -19*r - 8. Let d(q) = 9*q + 4. Let o = -109 - -103. Let j(b) = o*x(b) - 13*d(b). What is j(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10298*r. Let f(k) = 680*k**2. Calculate o(f(l)).\nAnswer: 7002640*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 95200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -48\/7*z**2 + 228\/7 - 178\/7*z - 2\/7*z**3 = 0.\nAnswer: -19, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + -1.4. What is the nearest to -2 in s, -1, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {f: 1, m: 7, z: 2, e: 3, u: 5}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6339958859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/460 + 2440\/23. What is the greatest common factor of a and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -789100 to the nearest 10000.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-62)\/8 - 1\/4)\/(-2). Solve -4*j = -8, -i*j = -h + 6*h - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-870)\/(-62) + 60\/(-1860)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50627867 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13031*y**3 - 296*y**2 - 899398?\nAnswer: -39093*y**2 - 592*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*y - 7*y - 476 = 0, 3*y = -3*j + 492. Suppose 45*p - 36*p - j = 0. What is the greatest common factor of 30 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 0*i)*(0*i**3 + 5*i**3 + 0*i**3) - 1 + 32*i**2 + 7*i**4 - 32*i**2 + 10*i**4 + 164*i**3 - 164*i**3.\nAnswer: 7*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/5 - 3028*w\/5 - 1146098\/5 = 0.\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006807177 rounded to 6 decimal places?\nAnswer: -0.000681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))**(5\/7))**(1\/13) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 3 = 14*t, 0 = 5*r - 4*t - 316. Is r greater than 587\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 7*c - 8. Let s be z(14). Let a = s + 106. Suppose a = -16*n + 14*n + 410. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1300*i**2 - 163. Is j(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 - 11*i - 9. Let r(h) = -7*h**2 - 12*h - 10. Let n(q) = -6*a(q) + 5*r(q). Give n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/1*240\/(-560)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8029.458 micrograms to kilograms.\nAnswer: 0.000008029458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -34*r + 4. Let x be q(-6). Suppose 4*z + 4 = -0*u + u, z = -3*u + 12. Suppose z = 3*y + y + x. Round y to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*t + 17 = -6, 0 = 4*y - t - 21. Let o be 2\/6 - 196\/12. Let n be ((-3)\/(-6))\/((-2)\/o). Is n != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -2 (c) 10 (d) -124 (e) 0.2 (f) 9.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5. Let t(h) = 11. Let p(n) = -4*t(n) - 9*w(n). Let z(u) = 2*u + 5. Give 4*p(i) - z(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/37 (b) -0.015 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 14. Suppose -2515*t = -2526*t + 375 - 100. Calculate the remainder when t is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 13*t**2 + 12*t + 5. Let b be p(-12). Solve 5*f + 4*m + 16 = 0, f - b*m = -6*m - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - 2*q)*((q**3 - 2*q + 2*q)*(-3 + 3 + q) - 17 + 17 - 4*q**4).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 2011911.\nAnswer: 14083377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4529235152 and -2871?\nAnswer: 4529232281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -225*p**4\/4 + 730*p**3 + 298*p**2 + 40*p + 206. Factor i(m).\nAnswer: -(m - 10)*(15*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 27*d + 21. Suppose -5*y - 99 = -y + 3*g, -4*g + 93 = -3*y. List the prime factors of p(y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 37, 103, 201, 331, 493, 687?\n\"Answer: 16*j**2 - 14*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = f - 0, -10 = 2*p. Let b = f - 8. Solve -2*c**2 + b*c**2 - 3*c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-153))\/((-2)\/(-12))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20407 (base 11) in base 5?\nAnswer: 1423043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 10 (c) 2\/3 (d) 7\/4 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/14)\/(20 - (49 - 30))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**3 + 3 - 3)*(20 + 32*p - 20) to t + c*p**3 + z*p + s*p**4 + a*p**2 and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 6. Determine h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -4.28.\nAnswer: 17.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n - 5*j + 95, 4*n - 106 = 2*j. Suppose 1345 = 1053*k - 1004*k - 1595. Calculate the least common multiple of k and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.541274217 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:43 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(-1))\/c)**7\/(c**(-2\/9)\/(c\/(c*c*c\/c**(4\/3))))*(c\/(c\/c**(2\/5))*c**(-2\/19))\/((c\/(c\/(c*c\/c**(3\/4)))*c)\/(c**(-2)*c)) assuming c is positive.\nAnswer: c**(36253\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z**3 + 53*z**3 - 49*z**3 + 89*z**3.\nAnswer: 33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4 + 9305*y**3 + 10703238*y**2 - 279138599*y - 142243946 = 0.\nAnswer: -2339, -1\/2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48248 + -8298685\/172. What is the common denominator of -7\/54 and o?\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10237069 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 take away -89.8987?\nAnswer: -226.1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*d + 3 + 11, -2*d - 3*i = 18. Let l be 4*d\/(-3) + 1. What is the derivative of -11*j + l*j + 3*j - 5 wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*g**4*j - 13025*g**4 - g**3*j + 65*g**2 + g*j + 567*g - 2*j wrt g?\nAnswer: -432*g*j - 312600*g - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 13*x - 7. Suppose -z + h + 1 = -2*h, 4*z + h = 30. Let s = 12 - z. Let r(p) = -p**2 + 9*p - 5. Give s*a(y) - 7*r(y).\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p + 72. Let y be z(8). Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-225)*((-45)\/27)\/((-83)\/249).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -46. Let n be (-56)\/d + 152\/(-95). What is l in 16\/3*l + 4*l**2 - 2\/3*l**n + 2 + 0*l**3 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2630.03269 to the nearest 10.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -3 - (-3 + 67)\/(-2). What is the greatest common factor of f and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176\/7 - 1598\/63. Which is the third biggest value? (a) 0.4 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10332\/(-196) - -58 - (-4)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1480406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 918, 2060, 3658?\nAnswer: 5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l = 458. List the prime factors of l.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((6*(1 + sqrt(475)))**2 - -6*-2*sqrt(475)).\nAnswer: 300*sqrt(19) + 17141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v = -8. Let c = -1 + -2. Which is greater: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4282460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 26 - 66 = -5*v, 2*r + 14 = 2*v. Let d be v\/30*5\/2. Solve 0 + d = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7493395 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -21\/17 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 0, 0*u - 88 = -2*p + 5*u. Suppose 26 = 4*i - p. Let v be (-4)\/(-1)*(-10)\/(-1). Calculate the highest common divisor of i and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 34 - 26 - 133*x.\nAnswer: -133*x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + -1 + sqrt(448))*-6)**2 - (2 + 0 + sqrt(175))**2.\nAnswer: -1172*sqrt(7) + 64369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -1284b8b?\nAnswer: -1284b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2965528537 to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 90\/22 + (-30)\/330. Suppose 0 = -3*w + l + 68206, -5*w = y*l - 3491 - 110180. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-6)\/(-5))\/(18\/60) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*z - 5*g + 19, -4*g + 21 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/3, -9, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2334501 or -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 98, 87?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, b: 3}. What is prob of picking 1 f and 3 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 123. Let w(j) = -2*j. Give z(w(q)).\nAnswer: 2*q + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-24)\/27)*(31 + (-2639)\/84).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101111110001011000?\nAnswer: 101111110001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-3)\/(-42)*1)\/(395\/(-1106)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 4860 + 2*i**2 - 4853.\nAnswer: 2*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14179703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 260*y + 519. Give k(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 + 143. Let n(m) = -m**2 + 15*m - 20. Let c be n(r). Do c and 29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 19*t**2 + 6*t + 21. Let s(i) = -i**3 - 14*i**2 + 13*i - 11. Let d be s(-15). Is o(d) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243112 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-40))\/(7\/(168\/9)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -30 - (349 - 385)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 848\/(-420))\/((-3)\/9)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 238, 468, 694, 916, 1134, 1348, 1558?\n\"Answer: -2*n**2 + 236*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1 + sqrt(700) + 0)**2 + (5 + sqrt(700) + -1 + sqrt(700))**2) - (-2 + (3*sqrt(700))**2 + (0 + -3 + sqrt(700))**2).\nAnswer: -14041 - 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30220 - 1943. List the prime factors of v.\nAnswer: 28277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/8))**5 assuming j is positive.\nAnswer: j**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -2)\/((-9)\/(-129)). Calculate the highest common divisor of 516 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, m: 2, c: 3, w: 1, x: 1}. What is prob of picking 1 k and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810 - (-19 - (1 + -9))?\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 0. Let s = -9 - -21. Let x be (-1)\/(-2) - (-42)\/s. Solve j = 3*a + x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*c + 8*c - 21*c)*(c**2 + c**2 + 0*c**2) to y*c**3 + u + g*c + v*c**2 and give y.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -62*x - 6. Let g be c(-4). Suppose 2*m + 191 = v, 5*m - 2*v = -229 - 246. Let l = m + g. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7*n = -3*n - 52128, 2*n - 39097 = -3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 10, j: 4}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 - 70*i - 10. Let k(n) = n**3 + 8*n**2 + 16*n + 11. Let z be k(-6). What is the least common multiple of 55 and l(z)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/4)\/(-2))\/(4\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -2\/3, -650, 2, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1788c9 (base 16) to base 15.\nAnswer: 206ed0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13474 - -1031?\nAnswer: 14525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5470*l + 886*l - 871*l + 79350 + 40660 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 29*n - 11*n - 25*n.\nAnswer: -68*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33110312424 - -10?\nAnswer: -33110312414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2223220 (base 4) to base 10\nAnswer: -10984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*z - 18, -z + 277 - 265 = -m. Let x(a) = a**3 - 4*a**2 - 6*a + 6. Suppose -3*j = -4*l - 2*j + 16, -14 = -2*l - j. Let t be x(l). Sort 3, t, -3, m.\nAnswer: m, -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 + 3*m + 0*m - 5*m**2 - 3 - 48*m**3 + 49*m**3. Let l be n(10). Suppose 2*w - 1 - l = 0. Solve -2*c - 5*z = 22, 2*c - w = 4*z - 0*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 570252 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: What is 1207 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733 - u - 98 + 67 - 252.\nAnswer: -u - 1016","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:47 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)\/(2\/(-10)). Suppose -a*k - 3*s = s + 55, 4*k + 44 = 5*s. Let n(h) = h**3 - 35*h**2 - 34*h - 83. Let g be n(36). Is k less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66085?\nAnswer: 5, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - 3*x**3 - 2*x**3)*(-16 - 4 + 4)*(-4 + 2 + 3).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67.52 - -66.52. Put -2\/551, -2\/3, -2, l in ascending order.\nAnswer: -2, l, -2\/3, -2\/551","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481139, -481153, -481167, -481181, -481195, -481209?\nAnswer: -481223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**22\/f**(2\/21))\/((f*f**(9\/5))\/(f*(f**(-20)*f)\/f)))**(2\/23) assuming f is positive.\nAnswer: f**(22\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 76*x + 3762. Is 2 a factor of y(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1533*b - 1519*b + 112 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -961, -7072, -23675, -56020, -109357?\n\"Answer: -875*l**3 + 4*l**2 + 2*l - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 5. Suppose -10*x + 79 = -41. Suppose 4*f + 13*h - x*h + 7 = 0, 5*f + 8 = -h. Let c(s) = -1. Calculate f*w(g) + 5*c(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 k when three letters picked without replacement from khkffkknhkhkhnhnd.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 5*h + 3*h**2 + h**2 - 3. Let r be a(4). Let q(y) = -r*y + 3*y + 0 - y**2 - 1. Calculate q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893265 divided by 339.\nAnswer: -2635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3222202 (base 5) in base 7?\nAnswer: -315260","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 7*h**3 - 6*h**3)*(-2*h + 4*h - 3*h) - h**4 - h**4 + 3*h**4 - 5*h**4 + 11*h**3 - 11*h**3.\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 v when four letters picked without replacement from {v: 15, g: 5}.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2*k**6 - 17*h**2*k**2 + 2*h**2*k + h*k**2 - 522*k**6 wrt k?\nAnswer: -240*h**2*k**3 - 62640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t + 32 = -36*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20185.\nAnswer: 5, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 11:27 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(275)*-3 + (-3*sqrt(504) - sqrt(56))\/sqrt(8).\nAnswer: -53*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(-7*(-39)\/(-728)*(-16)\/276)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cycy when four letters picked without replacement from cyybcsccbcccyycbyyc.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 - 174 + 30 - 4130*x to the form o + b*x and give b.\nAnswer: -4130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2776 - 6aa?\nAnswer: -2e20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520511 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2. Let d(a) = 0*a - 4*a + 11*a + 0*a. Give d(g(w)).\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25037.5 + 21826. What is x rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 2*c - c)*(2 - 2 - 5*c)*(-5 - 35 + 20).\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*(2 + 5\/(-2)). Let g = 452 + -4974\/11. Which is the closest to h? (a) 1\/6 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5991080179?\nAnswer: 7, 11657, 73421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/12 + 4*a**3\/3 - a**2 - a. Let z(v) = -v**3 + 15*v**2 - v + 7. Let j be z(15). Calculate r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 15 - 6 - (1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 4*t - 2, 3*g - 4*t = 5. Suppose 5*y = 2*o + 30, -g*y + 7 = o - 0*o. Determine q so that -q + 9*q + y + 8 - 4*q**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/130 and -103\/601978.\nAnswer: 3009890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m - m - 2*m)*(180 - 85 - 89)*(-6*m + 3*m - 3*m) + (-2*m**2 + 0*m + 0*m)*(2 - 1 + 1) to y*m + g + l*m**2 and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 1332.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.3, -181\/5, 2296.\nAnswer: -181\/5, -1\/3, 0.3, 2296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -885e?\nAnswer: -8858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(9 - (-651)\/(-35)). Is -42 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m*((m*m*m*m*m**(1\/9)*m)\/m)\/m))))\/m*m*m*m*m\/(m*m\/(m**(4\/3)\/m)*m)*(m\/(m**(-1\/3)\/m))\/m**(-2\/7) assuming m is positive.\nAnswer: m**(-10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 0*k**2 + 2\/3*k**4 + 0 + 1\/3*k**3 + 9*k. What is the second derivative of p(s) wrt s?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.7, 32 in decreasing order.\nAnswer: 32, 4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275 - 36*d**5 - 275)*(-5 + 7 + 4) - 2*d**5 - 3*d**5 + 2*d**5.\nAnswer: -219*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t + 1. Let x(o) = -208*o + 5. Calculate 10*j(a) - 2*x(a).\nAnswer: 376*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5679 is divided by 193.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 37948*z**3 - 3*z - 5*z**4 - 2*z**2 + 1 - 37948*z**3 as v*z + x*z**3 + l*z**2 + i*z**4 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -915691 and 1.05?\nAnswer: -961475.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1\/4)\/o*o*o*o*o)**47*(o\/(o\/o**1*o))**25)\/((o**(2\/3))**(6\/7)*o**(-4\/7)\/(o**(-5)*o)) assuming o is positive.\nAnswer: o**(877\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(6\/11)\/(g*g**(-3))*((g*g**(-1\/21)*g*g*g*g)\/g)\/(((g*g\/(g*g**(1\/5)))\/g)\/g))**45 assuming g is positive.\nAnswer: g**(26673\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -5*s, 0*s = -2*s + 5*a - 6. Suppose s*f - 3*f + 299 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/66)\/(949\/(-234) + 4).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708*p - 74528 + 25851 = 14519 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -6 (b) -11\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5590, -5592, -5594, -5596?\nAnswer: -5598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 + 5*x**4 + 35*x**3 - 5*x**2 - 30*x = 0 for x.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 2. Let k(a) = 14*a - 75. Let z(m) = 5*b(m) - k(m). Let r be z(7). Solve 0 = -2*j + r + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(75)*-5) + (sqrt(432)*2)**2)*-6.\nAnswer: -10368 - 156*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmd when three letters picked without replacement from {m: 7, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4553, 3, -0.3, 3.1, 2, 4\/5 in increasing order.\nAnswer: -0.3, 4\/5, 2, 3, 3.1, 4553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let b be n(-2). Suppose 4 = 4*p - f - 0*f, -b*f - 8 = 5*p. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 2094, 7775, 19016, 37671?\nAnswer: 65594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4 + j + 4*j**2 + 4 + 13. Let m(k) = -k**2 - 5. Let p be (-374)\/(-44) + (-6)\/(-12). Calculate p*m(x) + 2*w(x).\nAnswer: -x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - -20372662*(-2)\/(-160320). Let t = k + 1\/40080. Let n = -1311\/5 + t. What is the common denominator of n and -79\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 24.4, -1.1, -1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -178132 + -5?\nAnswer: -178137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1*(2 - 9)). Let u = 0.8 - 10.8. Let z = u - -9. Which is the nearest to z? (a) x (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.563140182 to 4 dps.\nAnswer: -0.5631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcijtcgi. What is prob of sequence tt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 516890.7 + -544370. Round h to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2.3, -0.02, 1\/245?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(9\/2)*b*(b\/b**15)\/b)\/(b**(41\/3)*b**31) assuming b is positive.\nAnswer: b**(-325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 81 + 9\/2*x**2 + 15\/2*x**3 - 3\/2*x**4 - 135\/2*x = 0?\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b**5*q - 22232*b**2*q**2 + b*q + 2*b - 10*q**2 + 668*q - 2 wrt b?\nAnswer: -200*b**3*q - 44464*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:22 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5\/4 + 39*t**4 - 2451*t**3\/4 + 5601*t**2\/2 - 5037*t + 3174 = 0. Calculate t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1841687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63990 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -5*v**4\/3 - 21*v. Let q(w) = -2*w**2. Give c(q(k)).\nAnswer: -80*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 187503613 to the power of 1\/2, to the nearest integer?\nAnswer: 13693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + 3 - (190\/25 - (-6)\/15). Let r be (-4)\/10 + (-4)\/(-10). Solve q + r = -u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -13 + 2 + (202 - 197).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 54 = 2*s. Let t = s + 14. Let p(u) be the third derivative of u**5\/60 + u**4\/8 + u**3\/3 - 6*u**2. Determine p(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 24, 11 in descending order.\nAnswer: 24, 11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785474463?\nAnswer: 3, 261824821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 220 = -4*y - 1045, 3*o - 5*y = -722. Let z = o + 405. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392 (base 13) to base 6.\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268 + 185.2. Let r = -82.7999713 - w. Round r to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**3 - 4*k**2 + 4*k + 2. What is c(3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1)\/(9\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 - f - 23*f**2 + 3*f.\nAnswer: -33*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 234816*-1.4\nAnswer: -328742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -27. Let c = -23 + 16. Let a = c + 11. What is the least common multiple of v and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 4*h**2 - h - 4. Let w(i) = 9*i**2 + i**2 - 3*i**3 + 12 + 3*i - 3 - i**2. Let x(m) = 9*s(m) + 4*w(m). Let x(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -5\/252*u**7 + 0 + 25\/36*u**4 + 0*u**6 - 30*u**2 + 51*u - 25\/3*u**3 + 5\/8*u**5. Determine z, given that v(z) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36*(-25)\/(-20)*2. Suppose -n + z = -0*n. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-24) - (-5)\/3. Let c = g + 1. Suppose -41 = -r + 2*b, c*r + 2*b + 221 = 7*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 784, -5\/3, -0.4, 98?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 274454676 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 16*x**2 + 1. Let w(r) be the second derivative of r**3 - 698*r. What is k(w(b))?\nAnswer: 576*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 760010.7, 1\/7, 0.1, -6\/7?\nAnswer: 760010.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 u, and 1 f when four letters picked without replacement from {b: 8, u: 1, f: 1, m: 7}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 287 + -146. What is the hundreds digit of l + 0*(-3)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9838, -9574, -9310, -9046?\nAnswer: -8782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utqqxtxxabbqbxbtbt. Give prob of picking 2 b.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3251*y**3 + 85 + 3246*y**3 - 85.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -115*f + 107*f. Calculate the highest common factor of 296 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(325) - 1*sqrt(325)) + (sqrt(325) - (sqrt(325) + 2 - sqrt(325))) + -4)**2.\nAnswer: -10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.5. What is the second smallest value in 1, -12, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145\/7 - -142\/7. What is the second smallest value in 1, -0.11, c?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*a + 55 + 21, 3*g - 78 = -4*a. What is the highest common divisor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k**3 - 44900*k**2 + 6402*k + 38484.\nAnswer: 2*(k - 3207)*(k - 1)*(7*k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -21 - (1334 - 1339)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150434 + 4?\nAnswer: -150430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*k**2*t + 13572*k**2 + 2*k*t + 6*t wrt t?\nAnswer: 32*k**2 + 2*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206566857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*q**3 + 42*q**3 - 91*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0604691 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 = -0*p. Let y(b) = 4*b + 7. Let a be y(p). Suppose 2*o - 49 = -3*g + 6*o, -g + a = -5*o. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**3\/6 + 5*z**2 + 6*z. Let o be r(-8). Suppose -3*b = -t - 0*t - 7, -o*b = -5*t - 22. Solve b = k - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/9 - (-320)\/15. Let v(d) be the third derivative of d**6\/120 - 11*d**5\/30 + d**4\/6 - 5*d**3 - 5*d**2. Is v(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 14*w + 12. Let t be j(14). Let u = 88\/239 - 314\/2151. Which is the third smallest value? (a) 3\/2 (b) t (c) 2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-18 - (-7 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 + 3*(-12)\/9. Let k be 1 - -14 - 3\/(y\/3). What is the second derivative of -141*f**5 + 69*f**5 - k*f + 44*f**5 wrt f?\nAnswer: -560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -526824 by 2.\nAnswer: -263412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34.1798 * -1.1\nAnswer: -37.59778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*l**5 + 126 + 7*l**2 - 61 + l**3 + 41*l**5 - 57 wrt l?\nAnswer: -4440*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.97 - 0.03. Let i be 2\/8*4\/3. Which is the closest to -2\/5? (a) h (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423439?\nAnswer: 1423439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p + 13. Let k(x) = -4*x. Let m(d) = -12*k(d) - 4*v(d). Give m(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.2 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20098229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -881.3 - -884.3. Put -1\/4, 0.2, -4\/5, z, 14 in descending order.\nAnswer: 14, z, 0.2, -1\/4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46585, 186178, 418823, 744544, 1163365, 1675310, 2280403?\nAnswer: 2978668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.96543 + 0.03457. What is the closest to -2 in t, -3, 1\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 + -175. Suppose y = -11*t + 25795 + 35200. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-14 + -3 + 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 353963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*y - 2*y = 14, -y + 25 = 5*a. Solve -a*z + j = 11, 0*z + 4*j = -z - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3062910 divided by -1531455.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 1822667957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 12) in base 10?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. What is the smallest common multiple of 12 and 1 + p + -3 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -518?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 3*x**2 + 3*x + 10. Let u be h(3). What is the nearest to 0 in -4, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4853 - -0.14987.\nAnswer: -4852.85013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 498 - 7238. Let k = -234 - m. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 15*v + 5. Determine q(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*b + 1. Let k(o) = 9*o - 1. Let q(s) = -14*s + 2. Let d(u) = 8*k(u) + 5*q(u). Give d(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (73736\/50)\/(1749\/30). Let k = -278\/11 + v. Is 0 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*3\/(-18)*-3 and 142\/((-8 - -9) + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3566814 - 2470818. Let b be 1\/(2\/p) - -2. What is b rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 79 = -121. Suppose -p*k = -110 + 30. Calculate the remainder when 126 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = h, -5*h = 2*u + u - 34. Suppose 3*o - h = 1. Suppose o*x - x - 26 = 0. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0735 + -3.9265. Let n = -10 + 5. What is the nearest to -1\/2 in n, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttjogjjo. Give prob of picking 2 t and 2 g.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 40*v**3 + v**2 - v - 2. Let y be s(2). Suppose 0 = -2*x - l + y, 0 = -5*x + 2*l + 3*l + 815. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.65 - -0.312. Let w = h + 0.25. Let z = -0.045 + w. Round z to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 13 + -42 - -12) + (5 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23908*z**3 + 47492*z**2 + 648*z.\nAnswer: -4*z*(z - 2)*(5977*z + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 3:46 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1018 - 3?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -499 - -517. Let b(h) = -20*h**3 + 9*h**2 - 9*h. Let n(u) = 5*u**3 - 2*u**2 + 2*u. Give a*n(r) + 4*b(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 839*o**2 + 7*o. Let d(u) = -419*u**2 - 3*u. Give 9*d(m) + 4*r(m).\nAnswer: -415*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 30025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, 1 i, and 1 y when four letters picked without replacement from yyygycciycyycyyiyii?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.176174161 to three decimal places.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*u*z**3 + 4*u*z - 487*u - 312*z**4 + 7*z - 1 wrt z?\nAnswer: -198*u*z - 3744*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/(-45) - (620\/(-150) - -4). Solve 2*k = -2 - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11583*g + 3755*g - 15296*g.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 4*x - 169. Calculate the highest common factor of x and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 27 - 0. What is the tens digit of ((-1)\/l*-3)\/((-1)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 11:06 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54825910 divided by 2.\nAnswer: -27412955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f = -11*f + 1620. What is the greatest common divisor of f and 1884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 13*a - 52 = 0. Let n = -6 - -8. Suppose -4*j - n*o + 890 = 0, a*j + 5*o = 5*j - 228. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(176) + 1 - sqrt(176)) + 3)*-6*2)**2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s**3 - 27*s**2 + 13*s - 5. Let x(y) = 11*y**3 + 26*y**2 - 13*y + 4. Let m(h) = -4*p(h) - 5*x(h). Find the second derivative of m(c) wrt c.\nAnswer: -18*c - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1720404 and -97\/12616296.\nAnswer: 37848888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c - 26. Determine d(-49).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 1, -4, 6.\nAnswer: -42, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39495, -56770, -74031, -91272, -108487, -125670, -142815?\nAnswer: -159916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 13254.\nAnswer: -13253.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.98 - 0.02. Let d = z + 4.4. Sort 4, d, -2\/9.\nAnswer: -2\/9, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*f*l**2 + 2323989*f*l - 2*f - 25440*l**2 wrt l.\nAnswer: 114*f - 50880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/96)\/(102\/(-8)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 9:36 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(-2\/85))**(-24)*(y**(-2\/7)*y)**(-8\/9)*(y*y**0)**38 assuming y is positive.\nAnswer: y**(203114\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.118, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (289\/17 - -3)*135\/(-108).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502863458 a multiple of 1437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 79*y - 7. Let f be q(-24). Is f + 4*(-9)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Suppose 0 = 5*p - i - 55. Let c be 30\/p - (-2)\/(-4). Solve -c*v = -3*r + v + 3, 0 = -3*r - v + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -370074?\nAnswer: 19\/370074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47407.25 years to millennia.\nAnswer: 47.40725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o + 0*o)*(-4*o - o - 7*o).\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -26. Suppose v = -3*h + a - 6, 0 = 5*h + 5*v - 30. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*k + 35, 7*k - 2*k + 37 = -3*z. Let h be z\/(-18) - (-7)\/(-2). Let f = h - -13. Solve 2*g - 5 = r, g - f = 3*r - 4*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0674 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 2840*j + 107718.\nAnswer: 2*(j - 1381)*(j - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1910, -3737, -5596, -7487, -9410, -11365?\n\"Answer: -16*q**2 - 1779*q - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3301, 3299, 3297, 3295, 3293, 3291?\n\"Answer: -2*d + 3303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3428*n*r**3 - 2*n*r**2 - 656022*n*r - 525*n + 26576*r**3 wrt r.\nAnswer: 20568*n*r - 4*n + 159456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 1. Let d = -144 - -152. Suppose -d*a = -13*a + 5. Let m(k) = 2*k**3 - 5*k + 4. Give a*m(z) - 3*n(z).\nAnswer: 2*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.65 - -129.67. Let i = j + -46.441. Let d = i - 73.9. Round d to 2 dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54726.76 litres in millilitres?\nAnswer: 54726760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*11\/((-66)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 21*y + 177*y**2 - 2 - y**3 - 4*y.\nAnswer: -y**3 + 177*y**2 - 25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24921280?\nAnswer: 2, 5, 47, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 24 = 6*u. Suppose m + 118 = 3*n, 0 = u*n - 4*m + 93 - 253. Calculate the greatest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.76033 centuries to millennia.\nAnswer: 5.476033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 92, 146, 204, 266?\n\"Answer: 2*s**2 + 44*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 50 = -3*q, 69 + 6 = 5*q + 5*c. Let m = 16 - q. Suppose -n = -m*n + 25. Solve -12 = -2*h - b - b, n*h = 5*b - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnqqquunnaqnnnqquqa. What is prob of sequence nn?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -2.64, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 7*v**5\/20 - v**4\/3 - v**2 + 5*v + 4. Let p(d) = 8*d**3 - 5*d**2 - 2. Calculate 4*p(b) - 5*u(b).\nAnswer: -3*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/13 + 2994*w**3\/13 + 1584096*w**2\/13 + 335431168*w\/13 + 20978442240\/13 = 0.\nAnswer: -464, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.916597823 rounded to three dps?\nAnswer: -0.917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 116\/10 + 4\/10. Suppose f + 26 = 2*o. What is the remainder when o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22325*g**5 - 114*g**2 + 11*g + 2 wrt g.\nAnswer: -1339500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777808707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6836 - 3.7. Round d to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*1) + (sqrt(10)\/sqrt(5) + 2)**2.\nAnswer: 6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 301*d**3 - 96*d**2 + 76*d**3 + 226*d**3 + 2 to the form w + f*d + u*d**2 + y*d**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/25227 and -69\/28030.\nAnswer: 252270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 2*b**2 - b + 4. Let g(p) = -p + 16. Let r be g(2). Suppose -3*m - d + r = 3, 9 = -3*m + 3*d. Give w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((6*sqrt(560)*1*-6)\/((sqrt(1250)*1 + sqrt(1250))\/(sqrt(10) - 3*(sqrt(10) + sqrt(10)*-2))))**2.\nAnswer: 580608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6)*(-78 - -12). Let p(w) = 14*w**2 + 4*w + 39. Is p(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 846 = 6302. List the prime factors of q.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31645364.\nAnswer: 2, 17, 465373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/60 - t**4\/8 + 2*t**3\/3 - 2*t**2. Calculate the smallest common multiple of 4 and u(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from wxxfwf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -908.7 to the nearest 10.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05231 (b) 15 (c) -1\/206 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 5*v, -3*v = -4*q + 22. Let t(k) = k + k**3 + 2*k + 2*k - 3 + q*k**2. Let l(u) = 5*u - 36. Let c be l(6). What is t(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*k + 1053*k**2 - 25*k - 17*k - 28*k.\nAnswer: 1053*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhh when three letters picked without replacement from nnhhhhhhhhhhnhhhnhn?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55563809?\nAnswer: 7, 19, 417773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 63246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:58 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*r**3 + 2 + 209*r**3 + 208*r**3 + 127*r**3 + 198*r**3 - 2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Suppose -4*o - 191 = -5*w, -5*o - 112 = -0*w - u*w. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i*j**2*m**3 - i*j**2*m - 42*i*j**2 + 9*i*m**2 - 2*j**2*m**2 - 276*j*m**3 wrt m.\nAnswer: 12*i*j**2 - 1656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -229, -495, -771, -1063, -1377?\n\"Answer: -r**3 + r**2 - 262*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(22*f - f + 0*f)*(-1 - 1 + 0).\nAnswer: 84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 2577474478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 42641.\nAnswer: 4\/42641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**3 + 11*v**2\/2 + 31*v - 56. Let m be n(-8). What is the greatest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120392 divided by 2.\nAnswer: -560196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n + 8*n + 25*n - 3 + 12.\nAnswer: 17*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 420*y**2 + 4100*y.\nAnswer: y*(y + 10)*(y + 410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 5*r - 15, 1068*r + 15 = -2*s + 1063*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-84)\/150)\/(9\/30).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(55)\/sqrt(5) - (2 + sqrt(11))*3.\nAnswer: -2*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**10)\/(n**(-1\/2)\/n))**39)**41 assuming n is positive.\nAnswer: n**(39975\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-27))\/(2\/(-9)). Let b be (g\/48)\/((-3)\/136). Which is bigger: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p - 8 = 0. Suppose 3 = x + p. Suppose -23 = 3*l - 3*m + 1, 32 = -3*l + 5*m. Sort 0, l, x.\nAnswer: x, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -33, -74, -131, -204, -293, -398?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l + 3. What is k(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -12*s + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/((-18)\/(-48)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178.005 - -0.005. Let o = -177.999296 - q. What is o rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-10)*(-1 + 11). Let f = o - -18. Let p = 11 - f. Solve -4*m + 11 = 3*r, 2*m - p = -r + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0748 rounded to three decimal places?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 - n. Let z be s(1). Let i = 1.95 + -3.95. Is i at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + 29 + 33 + -24\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 12. Give y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctct when four letters picked without replacement from {t: 1, k: 11, o: 2, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-27)\/(-5)))\/((-1274)\/1911)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 0.05, -0.07, 0.0376, -2\/9, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 109 = 3*f + 4*c, 129 = 2*f + 5*c. Sort f, 5, -1 in ascending order.\nAnswer: -1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 6*w**2 - w + 3. Let j be c(6). Let v be j\/12 - (4\/48 - 0). Let k = 235\/72 + -26\/9. What is the closest to -1\/3 in k, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 25, 11, -3087, -1, -5 in decreasing order.\nAnswer: 25, 11, 2, 1, -1, -5, -3087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -13.5. Let p = 2.5 + u. What is the third smallest value in p, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(357\/(-159)) - -3. Which is the second biggest value? (a) -2 (b) -4 (c) 0.4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ae3 - 637?\nAnswer: -311a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20358\/(-1404)*4\/(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -463, -473, -471, -451, -407?\n\"Answer: x**3 - 17*x - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -272, -603, -936, -1271?\n\"Answer: -h**2 - 328*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 2*h - 3*h)*(1 + 2*h - 1) - 3*h**2 + 108*h**2 + 16*h**2 to the form d + m*h**2 + c*h and give m.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 2*m + 4*m)*(2*m - m - 5*m) + (-2 + 1 + 0)*(-2*m**2 - 3*m**2 + 6*m**2) + 3*m**2 - 4*m**2 + 3*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 - 100977*j\/5 - 5258916\/5.\nAnswer: 3*(j - 33711)*(j + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 969 + -1295. Which is the biggest value? (a) -1 (b) m (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/19992 and 143\/12852?\nAnswer: 179928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100111000010101101111010?\nAnswer: -100111000010101101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 14. Let g(x) = 7*x + 29. Let f(v) = 2*g(v) + 5*t(v). Let q be f(-3). Is -10 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 202852 and 1504?\nAnswer: 1622816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(-7\/4) assuming g is positive.\nAnswer: g**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, -3\/10, -2 in descending order.\nAnswer: 5, 0.4, -3\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 0*l**5 + 5*l**5 + (-2*l - 2*l + l)*(9 - 9 + 13*l**4).\nAnswer: -35*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 218 + 173 = 0. Solve -3*l - 28 = -k*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 53*m**2 - 630*m - 103. Determine t(-36).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvtixtu. What is prob of picking 1 v, 1 x, and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1\/3*123. Let m = 93 + j. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 6*y**2 + 6*y + 9. List the prime factors of v(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8386 = 991*j + 50008 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**2\/2 - 4*u - 5. Let o(m) = 3*m - 9. Let t(b) = 7*f(b) - 3*o(b). Give t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -400908, -400887, -400866?\n\"Answer: 21*f - 400929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t**5 + 0*t**2 - 1\/3*t**6 - t**3 + 0*t**4 + 4 + 0*t. Find the third derivative of r(q) wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = -a, 4*a - 4 = -3*y + 7*y. Let v(w) = 3*w - 31. Let r be v(0). Let x = -12 - r. Solve 0 = -a*c - 3 + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 476429?\nAnswer: 476426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lap when three letters picked without replacement from plyaw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 80770 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*q - 2 = 0, -303 = -5*q - 313 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/(45\/(-20)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 12882.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4244604 is divided by 152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28764887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 4 = 0. Let g = 6 - 4. Let r = 2 + g. What is the remainder when r is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*m - 133*m + 44*m = -889 - 6379 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 899094621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - z**4 + 109 - z**3 + 2*z - 122 + 33 as p*z**4 + n*z**3 + t*z + l + f*z**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16 + -28)*(-2)\/6. Solve o = 4*h + 4 - 14, -4 = n*o + 2*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/2 - 7*a**2 - 8*a + 48 = 0. What is a?\nAnswer: -12, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxdd. What is prob of sequence xdd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 - 3.19. Sort c, -1\/3, -2\/13 in decreasing order.\nAnswer: -2\/13, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.049? (a) 0.2 (b) 3\/8 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 1. Let t be d(1). Suppose 3*v - 92 = t*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 4*f + 4*f)*(-51 + 26 - f + 30).\nAnswer: -3*f**4 + 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 7*p - 2*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 3.73, 2784?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -211, 2623, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4, 2\/13, 0.2 in decreasing order.\nAnswer: 27, 0.2, 2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svv when three letters picked without replacement from {v: 2, s: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*j**2*p + 640*j**2 - j*p - 16*j - 415628149*p wrt j.\nAnswer: -28*j*p + 1280*j - p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10565048\/9 + 1172067. Let q = j - -1820. What is the common denominator of q and -5 + 6 + 104\/10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 20 = 5*i, 2*i + 4 = 2. Let j = 9 + x. Suppose -j*p = -24 - 48. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 3454*l**2 + 502512*l\/5.\nAnswer: -2*l*(l - 29)*(l + 8664)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 - 45*c**2 - 5*c + 45*c**2 + c**4 - 2*c + 2*c + (c**3 + 0*c**3 - 3*c**3)*(-2 + 2 + c).\nAnswer: -3*c**4 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40136184 is divided by 106462.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o - 1 - 27*o + 27.\nAnswer: -5*o + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35 - -3*(-2 + 1). What is the third derivative of x**2 + 11*x**5 + 18*x**5 - u*x**5 + 0*x**2 wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/15)\/(2\/(-10)). Sort -4, 0, t in increasing order.\nAnswer: -4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**3 + 2*h**2 + 2*h + 1. Let x be n(-1). Suppose 438 = x*c - c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (432\/32)\/(1\/134). Calculate the greatest common factor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1365 and 3771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d**2 + 7 - 101*d + 7*d**2 + 39*d - 11*d**2 - 66*d.\nAnswer: -50*d**2 - 128*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2 - 8*d - 11. Let u be r(-5). Suppose -2*k + u = -5*f, 210 - 56 = 2*k + 4*f. What are the prime factors of (1 + -3 - -1) + k + 8?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6009*j. Let a(v) = 3*v. Give a(i(r)).\nAnswer: 18027*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s + 4*s + 0*s - 8*s)*(-2 - 1 - 8)*(-s + 5*s - s).\nAnswer: 429*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*j)*(2 - 2 - 2*j) + 673*j**2 - 47*j - 56*j - 676*j**2.\nAnswer: j**2 - 103*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -2\/11, 0.5, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 41 = 4. What is the units digit of (57\/j)\/(3\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**2 + 2*h + 1. Let y(l) = 4*l - 23. Let g(s) = 16*s - 92. Let f(u) = 2*g(u) - 9*y(u). Let j be f(6). Determine z(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22410180722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 84.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2916184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211951\/23880 - 2\/2985. Suppose 2*l - b = l - 2848, -2*b - 10 = 0. Let v = l - -11497\/4. Find the common denominator of v and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u + 80. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-126))\/((-6)\/36). Let z(v) be the first derivative of n*v + 4 + 0*v**2 - 2\/21*v**3. Factor z(s).\nAnswer: -2*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-30)*-4)\/((-4)\/(-40)). Solve b - 5*w + 22 = 2, -17 = k*b + w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 118*d**2 + 20*d**3 + 16 + 119*d**2 + 7*d - 18*d**3 + 24 to the form o*d**3 + n*d**2 + j*d + t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 + 14*k + 5*k + 3 - 10. Let p be w(-4). Let m(v) = 2*v + 4. Let t(s) = -2*s - 4. Determine p*m(j) - 4*t(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.891453 minutes in milliseconds?\nAnswer: 593487.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 139?\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - 176*x - 1176. Let k be t(-6). Which is smaller: -39 or k?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-15)\/18) + -1. Let p(o) = -9*o**2 + 9*o - 3. Let k(c) = -c**2 - 3241 - 4*c**2 - c + 6*c + 3239. Calculate q*k(a) - 3*p(a).\nAnswer: 2*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5171 = 27*z + 905. What is the remainder when z is divided by 60?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 48*b + 212. Let u(j) = j**2 - j - 1. Let h(y) = f(y) + u(y). Is h(-26) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -168050 * -5.\nAnswer: 840250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/37, 0, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:49 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfhc when four letters picked without replacement from {h: 2, n: 1, c: 2, a: 1, f: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + (-7 - (-14 + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1232)\/(-2156))\/(1*2\/(-28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 4*a)*(-14*a - 9*a - 8*a)*(a - 2*a - a).\nAnswer: 62*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeooe. What is prob of sequence oo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-18 - -2 - (2 + -8) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7178382, -7178394, -7178406, -7178418, -7178430, -7178442?\n\"Answer: -12*y - 7178370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3489*h - 32*h + 3878*h + 10207*h + 6*h**2.\nAnswer: 6*h**2 + 17542*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 0*q + 3*q**2 + 2*q**2 + q. Let p be l(-1). Suppose p*i + i - 5 = 0. Solve -1 = c + i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3134 is divided by 127.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = 22*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 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: In base 4, what is -20 - 30120001?\nAnswer: -30120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*(c\/(c**(-2\/5)*c))\/c*c)\/c*c*c*c)\/(c*c**(7\/4)))\/(c**(-5))**(-1\/3) assuming c is positive.\nAnswer: c**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p - 11. What is o(5)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m. Let g(w) = 17*w + 2*w + 36*w - 41*w + 26*w. Give g(n(f)).\nAnswer: -200*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2217 rounded to 1 dp?\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 14536?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + 3. Suppose -5*i - 32 = j. Let h be (1 + 0)\/(i\/14). Which is greater: 13 or h?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 + 2*n + 14. Calculate f(4).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.956 + -0.044. Let r = -15.42 - -88.02. Let c = r + b. What is c rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. What is the remainder when 4\/3*120\/16 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11172.88 - 10353. What is n rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2115 and 32701143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 34. Suppose u - 22 = 2*p, -7*u = -m*u + 2*p - 88. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 3*k + 6. Let h be f(-4). Suppose -3*a - 5*w = -149, h*a - w - 111 = -2*w. Suppose 2*q = i + 43 + 75, 8 = -4*i. Is a smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (558\/8 - 7)*8.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.7852g in kilograms?\nAnswer: 0.4467852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b - 2 + 2 + 16*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2. Let w = 17 + -17. Let r(c) = 0 + w - 4*c**2 + 9*c**2. Calculate x(r(b)).\nAnswer: -75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -5 - (-4 + 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**3 - 13*g**2 + 9*g - 1. Let f(a) = a**3 - 3*a**2 + 2*a. What is -9*f(c) + 2*o(c)?\nAnswer: c**3 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12008924 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/8)\/(24\/64). Which is the biggest value? (a) 4 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5766671?\nAnswer: 19, 367, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1819*h - 106*h**5 + 23*h**5 + 1826*h + (h - 3*h + 4*h)*(-3*h**4 + 2*h**4 + 2*h**4) + 4*h**5 + 2*h**5 - 4*h**5.\nAnswer: -79*h**5 + 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 divided by -78?\nAnswer: -119\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2524254432 to the nearest integer?\nAnswer: 50242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**3 - 2*t - 12. Let j(c) = -19*c**3 + 7*c + 35. Let x(u) = -7*h(u) - 2*j(u). Find the first derivative of x(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-36)*-2)\/(10\/(120\/4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -12*y**2 - 2*y - 1. Let r(s) = -61*s**2 - 10*s - 3. Calculate -11*a(h) + 2*r(h).\nAnswer: 10*h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 78. Calculate the greatest common divisor of a and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32452 = -2*f + 44*t - 47*t, 0 = -2*f - 2*t + 32454. What is the remainder when f is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by 10\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*z - 8. What is the closest to 1\/2 in -1, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45326844 or 45326847?\nAnswer: 45326847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 978658433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12569424 or 12569428?\nAnswer: 12569424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -57. What is the highest common factor of m and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2139.181 + -4.47\nAnswer: 2134.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-3))\/(1\/6). Let m be (688 - 686) + (-2)\/(-4)*0. Solve -m*q - 3*i + 11 = 0, -4*i + 7*i - l = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, -3, -0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -18. Let y = u + -33.9996. Round y to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54236104.\nAnswer: 2, 13, 59, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 9:44 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -235*g**2 - 59*g - 137. Let l(i) = 353*i**2 + 57*i + 138. Let s(w) = 2*l(w) + 3*y(w). Give s(65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27144 divided by -36?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10206 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.7 + -12.76. Let y = j - -0.06. Which is the nearest to y? (a) 3\/2 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10126.4 to the nearest one hundred.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 + -268. Suppose -u + 4 = -2. Solve 20 = -5*t + q, -1 = -5*t - v*q - u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48197447 - 5?\nAnswer: 48197442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1118147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -2 - 1) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6\/3)\/((-4)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9752.342 decades in months?\nAnswer: 1170281.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -28*a**5 + 91*a**3\/3 + 178. What is the third derivative of v(h) wrt h?\nAnswer: -3360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17440 and 35377674600.\nAnswer: 35377657160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2462295.\nAnswer: 3, 5, 11, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 326463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 3. Let x = 851 - 848. Solve -b*w = -x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**2. Let n(y) be the third derivative of -5*y**4\/24 + 41*y**2. What is n(i(g))?\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71416 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 301*d**2 - 11*d - 7. Let b(z) = -511*z. What is f(b(m))?\nAnswer: 78597421*m**2 + 5621*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1939126014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**2 - 2. Suppose -10*y + 2*b = -12*y - 10, y + 2*b = -9. Let m(i) be the second derivative of i**4\/12 - 3*i. What is y*l(w) - 5*m(w)?\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 8:02 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37452346 + -43?\nAnswer: 37452303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/17 (b) 0 (c) 5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 11*v + 65. Does 35 divide r(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*w - 6 = 0, -4*x = -x - 4*w - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 78. Is z(-15) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-5 + -19 + -12 + 11 + -4)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15400 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s - 2*s. Let d(n) = -2*n**2 + 3*n + 3. What is the common denominator of s*78\/(-8) + -1 and d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.1 + -43. Which is the second smallest value? (a) y (b) -0.2 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.106026\nAnswer: 0.0424104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 56*v**2\/3 + 1111*v\/6.\nAnswer: v*(v + 11)*(v + 101)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 31*m = -1224. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 148 - 75)*(y + y - y)*(4*y**3 + y**3 - 3*y**3).\nAnswer: 86*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -19.2. Let k be 20\/(-12) - (-2)\/(-6). Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6*r + 4)*(-2 - 3 + 4) + 2*r - 1 + 1 + (-3*r + 0*r + r)*(3 + 3 - 7).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.298953 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*5\/(50\/308). Suppose 0 = -3*s - 2*s + 2*g + x, 5*g + 130 = 4*s. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -981 - -761. Let a be (264\/r)\/(1\/(-10)). Solve 4*b - c + 9 = -9, 2*b - 2*c + a = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + h**3 - 1)*(-5 - 20 - 7)*(1 + 0 + 1) - 5 + 5 + 5*h**3.\nAnswer: -59*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-4) - 1)*2. Let q(x) = -x + 1. Let p(i) = -5. Let c(u) = p(u) + 2*q(u). Let j be c(-6). Solve -4*v + j = -d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/4 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkqqxtqrzzz. What is prob of sequence zq?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t + 61 = 5*p, -20 = -4*p + 4*t. Suppose 23*i - 2030 = p*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119\/3 + 39. Let u = -14 - -14.7. Let h = 0.3 + u. Which is the closest to s? (a) 3 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530796847.\nAnswer: 7, 67, 1131763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 14*y**2 - 84*y + 697. Calculate the lowest common multiple of 144 and h(17).\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2964*j = 13001*j + 603498 + 574417 + 306830 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -417931 + 62051. Let r be (-2707118)\/d - (-1)\/4. Let p = r + 2\/6355. Find the common denominator of p and 27\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6617*j = -1321*j + 1669*j - 35458 + 195653 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136316 is divided by 34022.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -74*c + 78*c, 1 = -2*d - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = 0. Suppose g = 8*i - 10*i + 8. What is the third derivative of i - 15*o**2 + 20*o**2 - 4 - o**4 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.950212 days to milliseconds.\nAnswer: 82098316.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 36 - (76 - 48) - 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = -2 - 4. Which is smaller: -102 or o?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3780 and 411840.\nAnswer: 8648640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 28. What is the remainder when (((-34)\/(-8))\/(q\/(-24)))\/(-1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) + (-68)\/(-20). Suppose v = 3*j - 0. Let i be 1 + ((-102)\/1836)\/((-1)\/18). Sort j, i, -4, 0 in increasing order.\nAnswer: -4, 0, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 590.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.6 take away -33.60687?\nAnswer: -125.99313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496 = -1108*f + 565*f + 595*f for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((9\/(2925\/(-52)))\/(2\/(-15)))\/(-3). Which is the closest to -1? (a) 2 (b) 4 (c) f (d) 317\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/2 + s**2 + 3*s\/2 = 0. Calculate s.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522591457 to the nearest integer?\nAnswer: 22860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -86224, -689834, -2328194, -5518678, -10778660, -18625514?\n\"Answer: -86229*c**3 - c**2 - 4*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 6 - 2*i - i. Let r(u) = -u - 7. Let m(t) = -6*t**2 + 1. Let k be m(-1). Calculate k*g(o) + 4*r(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 1\/4*l**8 - 14\/15*l**5 + 0 - 7*l - 9*l**2 + 0*l**4 + 0*l**6 + 0*l**7 + 0*l**3. Find the third derivative of q(o) wrt o.\nAnswer: 5040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuwuggwuwuw. What is prob of sequence uggu?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**(-3\/5)\/(k*k**(1\/5)*k*k**6\/k))\/((k**(1\/3))**(-6\/11))**37 assuming k is positive.\nAnswer: k**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*w + 396 = -55*w. Solve w*z - 24 = 21*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*4 + -3)**2.\nAnswer: -192*sqrt(5) + 5129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/7 and -19\/379.\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 27*t + 2. Let g(n) = 10*n**2 - 8*n + 4. Let r(v) = -41*v**2 + 34*v - 17. Let m(f) = -17*g(f) - 4*r(f). Calculate m(p(y)).\nAnswer: -4374*y**2 - 648*y - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18763 or 581670\/31?\nAnswer: 581670\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72.51 - 0.49. Let p = -62.2 - t. Let c = p - 6.1. What is c rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8323 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -244*c + 246*c - 2*l - 64, 0 = 4*l + 8. Calculate the highest common factor of c and 2400.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 5:25 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1264.41us to minutes.\nAnswer: 0.0000210735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014651 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11963189 to the power of 1\/2, to the nearest integer?\nAnswer: 3459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3083964\/(-265)*(2 + -7)?\nAnswer: 2, 3, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 1512.14846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 19 = p. Suppose -3*y = -p*y + 129. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*z = 63*z + 4*q - 4, -3*z = 5*q + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*j**2 + 35*j**2 + 36*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(2\/17)))\/c)\/c**9*(c**(4\/9)*c)\/(c*c\/(c\/(c**5\/c))) assuming c is positive.\nAnswer: c**(-2092\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - o**2 - 2*o**2 + 2*o**2 - 3*o**2 + 2*o**2 + (o + 0*o + o)*(2*o + 2*o - 5*o) + 0*o + 0*o - o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3 + 45. Let j(p) = 3*p**2 + 0*p**2 + 6*p**2. Calculate 3*j(u) + 8*q(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8402*v + 5916 + 178928 = 0 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 26 = 2. Suppose -10*t + 7*t + 186 = 0. Suppose 5*v = 18 + t. Calculate the smallest common multiple of v and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1967265358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.4, 4, 0.74?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r = -25*r - 26*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -110066*g - 550326. Give v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Let n = -6.7 - -7.1. Sort s, 0.5, n in ascending order.\nAnswer: n, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3*r + 75. Let q(l) = -6*l + 171. Give 2*q(a) - 5*s(a).\nAnswer: 5*a**2 + 3*a - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 434*b. Let p be w(2). Is 14 a factor of p\/21 + 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65464 at most -65464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 147*h + 25. Let s(r) = 2*r**3 - 19*r**2 - 7*r - 25. Let n be s(10). Is x(n) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*l - 166*l + 232 = -49*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17675 - -17603.03. Let s = -0.03 + l. Let f = -71.999873 - s. Round f to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/5 (b) 1\/4 (c) -3 (d) 2\/5 (e) 12 (f) -5 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -27*t + 45. Suppose -3*u = -15, 0 = -l + 7*u - t*u + 64. What is the smallest common multiple of 11 and 16*(l\/(-12) + 5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 4\/3, 11, -111, 48?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/2 - (-31 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p + 39 + 111 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 8*j + 11. Let t be x(9). Let b be (-6 + 1)*(-4)\/10. Let s be -4 + b + 12\/2. Solve -t*z + s*z = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 4 (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26392003507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 141?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102351376?\nAnswer: 2, 6396961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1922, -2032, -2104, -2120, -2062, -1912, -1652?\n\"Answer: 3*i**3 + i**2 - 134*i - 1792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*(-3)\/(-2))\/((-66)\/(-88)). Suppose 54 + 582 = w*n. List the prime factors of n.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.028 * 132.93827\nAnswer: -3.72227156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from xxxxxexxeexxxx?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21518 divided by -29.\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 l when four letters picked without replacement from {p: 3, l: 4, g: 7}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4301 and 5184762.\nAnswer: 119249526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 24933150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8015560 and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + n, -y - n + 2*n = 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**2 - 8*i**3 - 21*i**2 + 71*i**2 - 27*i**2.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1 = -3*d, 31*d - 26*d + 1 = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 25 = 3*o, -4*o + 76 = 15*w + 21. Sort 608, -4, w in decreasing order.\nAnswer: 608, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 327151*a**5 - 370*a**2 - 781*a + 1.\nAnswer: 19629060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 504 = 111. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 8 (c) -0.3429 (d) 3 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44321000 - -25?\nAnswer: -44320531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.40695 centuries in decades?\nAnswer: 84.0695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96 - 22*i**2 - 3*i**3 - 20*i**2 + 60*i**2.\nAnswer: -3*(i - 4)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*a - 42, -21*s - 62 = 4*a + 81 + 66 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + 9. Let t(o) = -11*o**2. Let x(b) = b**2. Let i(w) = a*x(w) + 3*t(w). Let u(f) be the third derivative of f**4\/24 + 10*f**2. Calculate i(u(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4643 + -2?\nAnswer: 4641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-81) - 33710\/30. Is m bigger than -1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1493*z + 719 + 301 = -1527*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 - 16*u. What is s(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13936465 divided by -2787293?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 593 - 592. Suppose -2*h - 39 + 109 = 0. Let s be (2\/h)\/((-2)\/10). What is the smallest value in c, -1\/23, s, 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -155730 + 6*d**2 + 160365 - 8*d**2 as j*d + n*d**2 + v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 5) to base 8.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 61829591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48*g**2*p + 2908*g**2 + 2*g*p**2 + 10*p**2 wrt p?\nAnswer: 48*g**2 + 4*g*p + 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.032460945 and -16.\nAnswer: -16.032460945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 31*q - 23. Let t(d) = -2*d**2 + 281*d. Give y(t(b)).\nAnswer: -62*b**2 + 8711*b - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*u + 4900 = 215*u. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (77\/28)\/(2\/104). What is the greatest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*a - 21*a + 36*a**2 - 751 + 158 to the form j + b*a**2 + h*a and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 28 (c) 63\/8 (d) 15 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, b: 4, e: 3}. Give prob of picking 2 b and 1 y.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67833*m**2 + 62766?\nAnswer: 135666*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 3*a - 4*a to f + c*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m**2 + 9*m + 15. Let h(y) = 5*y**2 - 5*y - 8. Let c(b) = 13*h(b) + 6*x(b). What is c(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -21. Suppose 4*r - 12 = 0, 3*b + i = -4*r + 57. Calculate the remainder when 24 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1306 + (4\/(-10))\/((-9)\/(-90)).\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uptpupupppjpppp. Give prob of picking 1 p and 1 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7770.\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1bd + 1903d?\nAnswer: 18d70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (225\/(-20))\/(-9)*4 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 5074322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20763 (base 10) in base 15?\nAnswer: -6243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 58673665552 and -1291?\nAnswer: 58673666843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/152 in 5, -1\/4, -49?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z. Let p = 448 + -111. Let o(g) = -8*g**2 + 337 - p. What is o(l(m))?\nAnswer: -288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 36 = -z. Suppose -z = -11*x + 8*x. Let a(p) = -29*p + 1. Let s be a(-3). Calculate the greatest common divisor of x and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5\/4 - 81*d**4\/4 - 363*d**3\/4 - 279*d**2\/4 = 0 for d.\nAnswer: -3, -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*b - 5 = 5, -i + b = -7. Suppose -k + 195 = -t, 776 = 4*k - i*t + t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355833 (base 10) in base 16?\nAnswer: 56df9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 995, 1814, 2525, 3128, 3623, 4010, 4289?\nAnswer: 4460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/12)\/((-2)\/(-4)). Suppose -80 = 3*z - 8*z - o*r, -z = r - 18. Suppose 0 = -3*m + 2*m + z. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = -5*n - 23, 0 = n + 5*s - 17. Let f be -4 - (n + -18 + 4). Suppose -f*o = -16*o + 33. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 929.687 and -0.1?\nAnswer: -92.9687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**3 - 2*x**2 - x + 1. Calculate l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = -182 + 54. Let k be (26\/d)\/(1495\/300 - 5). Calculate the highest common factor of k and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 9*s + 7. Let b = -776 + 771. Give w(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (9 - (31 - 14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*v + 7*j - 8, -3*j = -3*v - 9. Find the common denominator of -55\/14 and (-78)\/(-56)*(v + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/151878 and -70\/2091.\nAnswer: 6226998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -986 (c) -2\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5165 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 281 + 286 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 3:44 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*2\/4*52. Let k(r) = -2*r**2 - 7. Let n be k(2). Let m = j + n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y - 125. Give v(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (4 - (5 - (-3 - -20)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g + 618*g + 1327*g.\nAnswer: 1960*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -185378 divided by -3142\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 20081?\nAnswer: -20084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + h + 6 + 0*h + 3. Let b be a(0). Solve -q + 3*u + 2*u - b = 0, -q - 2*u = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-96)*4\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -19. Let f(l) = l**2 - 3*l - 2. Let m be f(4). Suppose 0 = -p*y - m*y + 22. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 5\/48*s**4 + 4*s**2 + 5\/12*s**3 - 1\/48*s**6 + 0 + 0*s - 1\/24*s**5. Factor g(t).\nAnswer: -5*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150263 (base 7) in base 2?\nAnswer: -111000100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 18. Let x be q(14). Is -1 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 12436?\nAnswer: 62180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3489 divide 1107456234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 694123 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {w: 1, v: 4, q: 7, k: 1}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6491?\nAnswer: 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -938521*h**6 + 18*h**2 - 2194*h + 11.\nAnswer: -112622520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 14026168.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 926 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4111439?\nAnswer: 41, 100279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y + 2 = 2*r, -4*y = 5*r + 28. Let j(t) = t**3 + 4*t**2 + 2*t + 1. Let b be j(-3). Suppose -a = b*a + 15. Which is greater: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -11 - (-128 - -93)) + -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.19, -2\/9, -2\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3236, 13068, 29446, 52370, 81840?\n\"Answer: 3273*q**2 + 13*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -4, -3, 3\/8, -0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1648137 and -0.003.\nAnswer: -1648137.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2589\/(-25890) - (418\/(-180) + 2). Let l = -0.5 + 0.3. What is the closest to l in q, -2\/7, -1, -5\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234607777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134883\/194 - 216\/97. Is -697 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-308)\/(-930) - (51730\/1050 + -49)) + (-432)\/(-31).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 4158\/210)\/(0 + -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let l be (-1 - -1)\/(4 + -2). Suppose 6*g - 2*g - 12 = l. Let y(u) = -g*u - u + 2*u + u. Give h(y(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 less than 0.2?\nAnswer: -1329.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + q = -5, 4*o + 60 = 4*q + 32 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -51, -4\/3, 20, 1\/4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/33 and ((-16)\/(-84))\/(-2)*154\/(-7).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -7)*(1\/3 - 0). Put -3, a, -6 in decreasing order.\nAnswer: a, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 4*x + 4*x)*(4 - 3 + 1) + 5*x - 3*x + 3*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**5 + 0*o**5 - o**5)*(17 - 5 + 5).\nAnswer: -34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 + 3*n**2 - 3*n**2 + (2 + 3*n - 2)*(n**2 - 4*n**2 + n**2) - 2*n**3 + 2*n**3 - n**3 in the form w*n + t*n**3 + g + j*n**2 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**3 - 8*p**2 - 32*p. Let s(j) = -j**3 + j**2 - 4*j. Determine b(z) + 7*s(z).\nAnswer: -2*z**3 - z**2 - 60*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59445 is divided by 184?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y = -48*y. Let u(n) be the second derivative of y + 15*n + 0*n**2 - 1\/15*n**6 - 2*n**3 - 2\/5*n**5 + 11\/6*n**4. Factor u(x).\nAnswer: -2*x*(x - 1)**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 13*a**2 - 13*a + 17. Let b be r(14). Let y = b + -33. Let h = y + 13. Solve 2*z - 3 + h = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (3 - 42\/9). Let c(k) = -k - 20. Let z be c(-8). Let a be (14\/4)\/(6\/z). Does r = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w + 5*w + 4*o, w = 3*o - 2. Suppose 2*g - 1587 = 305. What is the tens digit of w + (2\/12 - g\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71054.8 * 6.\nAnswer: 426328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 137*b - 492. Calculate l(-59).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*p - 116*p + 476 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-1)\/(-4)). Let x be (-1)\/(u + (-45)\/(-21)). Let j = 15 + x. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -8, 13, 2, 1\/11, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 34*z**3 + 21*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124\/33 + -493\/264. Let w = 7 - 5. What is the common denominator of h and (-10)\/(-72)*(-535)\/50*w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(-6*(sqrt(204)*1 - sqrt(204)) + sqrt(204))\/(-5*2*sqrt(12)).\nAnswer: sqrt(17)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -13?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x = -39*x - 59*x + 980. Let h(s) = 0 + 9*s - 5 - 1 - s**2. Determine h(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.081723908?\nAnswer: -0.081723908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 296*t**2 + 222*t**2 - 9*t**2 - 2 as y*t**2 + s*t + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 5*n + 26, -1 + 3 = -3*k + n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (1 + 0 + 6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 22*p**2 + 22*p - 23. Let t be g(-23). Suppose t = -w + l - 3*l + 165, 2*w + l - 330 = 0. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240183630 divided by 6345?\nAnswer: 37854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12295742621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxvx when four letters picked without replacement from xxvxw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 26 - 6. Suppose a*v - 5*i = 1093, -6*i = -2*i + 4. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-31 - -25 - 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2619595 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15936 and 12616?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from mggmddmdrdcdgrggrc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550415075 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 321 = 4*f - 3*t, 5*f + 5*t - 790 = 0. Calculate the greatest common factor of 561 and f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 11) to base 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -96 - 11831b?\nAnswer: -1183b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 2*h**3 + 0*h**3)*((h + 20*h - 5*h)*(h + h - 4*h) + 2*h**2 - 3*h**2 + 2*h**2).\nAnswer: 31*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 + 27*b + 0*b**2 - 6*b - 3*b**2 as k*b**2 + z*b + l and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -583276*c**2*f**2 - 40*c*f**2 + c*f + c - 21*f**2 + 7*f wrt c.\nAnswer: -1166552*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1884467.1 to the nearest 1000.\nAnswer: -1884000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11104036 to the nearest integer?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -215*f**4\/2 - 2*f**3\/3 - 38*f**2 + 983. Find the second derivative of m(w) wrt w.\nAnswer: -2580*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-2 + 1)*13. Let m be (-4)\/20 - s\/(-10). Let q = 8 + m. Solve -n = -2*x + q, -n = x + 2*x - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:51 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 1220, -6, -0.24?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25410 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1506 - 3*f - 1506 - 20*f + 18*f + 8*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-140)\/(-15))\/((-2)\/6*-1). List the prime factors of 2076\/42 - -2*(-6)\/r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/236 and -35\/4.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80250 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + z + 1 + (z - 6 + 6)*(2 + 0 - 1) + ((1 + 0 + 0)*(3 - 2 + 2) - 6 + 2 + 2 - 4 - 12 + 23 + 45)*(2 + z - 2).\nAnswer: 55*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/20 - 2\/(-5). Suppose -h = -2*y + 3*y. Let z(a) = -a - 1. Let u(o) = o + 1. Suppose -t = 2*t + 9, 4*l + 4*t = -28. Give l*z(k) + y*u(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 5*a + 23 = 2*b, -3 = 3*b - a. Let d = b + 1. Let k = -2.4 + -0.6. What is the third smallest value in 1\/3, d, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.014.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12363 + 12362.9. Which is the third smallest value? (a) 5 (b) l (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 652 and 652 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 4. Suppose f = -1 + i. Solve 0 = -f*n + 8 + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**8\/48 + 2*j**5\/15 + 29*j**2. Find the third derivative of x(z) wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 1\/3, 0.4, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.8 - -10.8. Which is the biggest value? (a) 0.2 (b) 63\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -5*c - 4 - 2\/9*c**3 - 1\/6*c**4 - 1\/9*c**2. Let z(d) be the first derivative of a(d). Factor z(g).\nAnswer: -2*(3*g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-400)\/(-12))*((-343)\/42 + 9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/(-33))\/(1\/3). What is the third smallest value in d, 5, 6\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5\/5 - 3*g**4\/5 + 21*g**3\/5 + 39*g**2\/5 + 18*g\/5 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 394888677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let s(n) = -n**2 - n + 28. Suppose 11 + 14 = 5*k. Let v be s(k). What is the remainder when j(v) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29534 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42, 8\/615, -9?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 167200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -475 - -477. Let q(v) = 4*v**2 + 9*v + 2. Let z(a) = 9*a**2 + 19*a + 5. What is w*z(m) - 5*q(m)?\nAnswer: -2*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/50*(0 + -1 - 4). Suppose -29 = -5*v - f. Suppose -v*l + 12 = -3*l - 4*b, -3*l - 4*b + 58 = 0. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.164, 5, 1\/7, 4, -11, 2\/409?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (99\/(-18) + 6)\/((-1)\/(-12)). Suppose -y*t - 3208 = -10*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-164*d**2 + 164*d**2 - 65*d**3) in the form x*d**3 + j*d**2 + h*d + k and give x.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 divide 118459590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2060 or 181229\/88?\nAnswer: 181229\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 = 80*v + 239 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 825677.2 nanograms in milligrams?\nAnswer: 0.8256772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 826, 0.04, -2\/3, -5, 0.074?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(9*(8\/(-48) + 0)). Let x = 318 + -316.31. Let q = x + -1.8. What is the nearest to q in -1\/4, 3, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3146) + (sqrt(3146) - (sqrt(3146) + 3*(sqrt(3146)*3 + sqrt(3146)))) + sqrt(3146) + sqrt(3146))\/(sqrt(22)\/(-6*sqrt(99))))**2.\nAnswer: 41281812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13683705 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -4, 0, 6, 42 in descending order.\nAnswer: 42, 6, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 350 = -f - 102, 3*f - 3*c - 735 = 0. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 5*h - 4. Let v be x(-3). Suppose 4*g = 5*a - 25, -6*g + 2*g = -v*a + 10. Sort a, 0, -5 in decreasing order.\nAnswer: a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1423 + 1423.02. Which is the second biggest value? (a) w (b) 0.1 (c) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = 5*o + 2, -5*o = t + 14. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 2*p - 1044. What is the lowest common multiple of p and 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - (-3)\/(-6). Let m = -8 - -11. Let u be (-3)\/(2 - 21\/6). Sort u, k, m in descending order.\nAnswer: m, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 977258 and 4430.\nAnswer: 4886290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/750 and (-9)\/33 - (10 - (-231361)\/(-21450)).\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110241, 0.01, -1\/8 in descending order.\nAnswer: 110241, 0.01, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 3 + 15\/(-13). Let q = 86 - 71.1. Let g = q - 10.9. What is the biggest value in g, d, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4113)\/3*26\/18. Let s = k + 1956. Calculate the common denominator of 97\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*r - 52, 3*r + 0*p - 30 = 3*p. Suppose 4*u + 2*c = -r, 0 - 8 = 4*u + c. Let d be ((-30)\/75)\/(0 - -2). Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10360393.\nAnswer: 10360393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -3)*(-1)\/(-2). Suppose -3*z + 10 = -d, -z - d - y = 1. Solve r = z*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwvvwwww. What is prob of sequence vwwv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18 + (-130)\/(-10))\/(-1 - 0). Solve -a + 5*u - 4 = 0, 2*u + 6 = i*a + 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/11)*z*z**(-2\/3)*z**(-7)*z\/(z\/z**4)*(z*z**(-1\/6)*z)\/(z*z*(z**(2\/9)\/z*z)\/z)*z\/(z**(1\/5)\/z)*z**7 assuming z is positive.\nAnswer: z**(6857\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 459*n**5\/130 + 48*n**4\/13 + n**3 - 2*n**2\/13 - 3*n + 40. Suppose h(d) = 0. Calculate d.\nAnswer: -1\/3, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*n**3*x**2 + 3*n**3*z**2 + n**2*x**2*z**2 - n**2*z**2 + 3*n*z + 3*x*z**2 wrt x.\nAnswer: 66*n**3 + 2*n**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -707?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34967000 rounded to the nearest 100000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*b - 93*b - 464*b - 33022 = 88*b for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u - 3*u + d, 5*d = 20. Let y = 2 - u. Suppose 4*o = 26 - 2. Solve -2*z - o = i, z - y*i + 0*i = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23586 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: What is the common denominator of -87\/10 and 169\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 2129842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**(-3\/5)*s*s)*s)\/s**(1\/7))\/(s\/(s\/(s\/(s**(-2\/3)*s))*s)*s\/(s\/s**2)) assuming s is positive.\nAnswer: s**(-127\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12205099745 - 107*r + 12205099746 - 201*r.\nAnswer: -308*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/8*29 - 12\/(-48). Let w = 16 - j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(98) - (sqrt(98) + -1)) + sqrt(98))*-6.\nAnswer: -42*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from tssjcithjijt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 2*i - 4. Suppose -r + 2*r = 8. Let f be g(r). What is the highest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 320\/(-24)*12\/(-5). Suppose 2*b = -3*g + 48, -5*b - w = -0*g - 2*g. Solve 3*k + 19 = z + z, 2*k = 2*z - g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. Let w(d) = 7*d**2 - 1. Let o be w(-1). Let r(i) = -i**2 - 170*i + 172*i - o*i**2 + 3*i**2 - 1. Calculate r(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((32 - 18 - 12) + 16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 517.502, 0.7 in ascending order.\nAnswer: -1\/3, 0.7, 517.502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 562400 rounded to the nearest 10000?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 608609 divided by 5\nAnswer: 608609\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 8*g**2 - 15*g + 13*g.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 + -10?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viiv when four letters picked without replacement from vvivvviv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqqq when four letters picked without replacement from {t: 5, u: 2, q: 3}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2779920 and 659340?\nAnswer: 102857040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 508 + -12?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a**5\/11 + 276*a**4 - 4828*a**3\/11 - 1224*a**2\/11 + 4838*a\/11 - 1812\/11 = 0. What is a?\nAnswer: -1, 3\/5, 1, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a day?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 31, -1, -23.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/1475 - 293\/1475. Sort f, 4, 0.3, 12.7 in ascending order.\nAnswer: f, 0.3, 4, 12.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1036 and 93\/161756.\nAnswer: 5984972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(22) - (sqrt(1408)*2 - sqrt(22)))\/sqrt(2))**2 + (5*-1*sqrt(66) + sqrt(66) + sqrt(66))\/(sqrt(108)\/sqrt(2)).\nAnswer: -sqrt(11) + 6468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(30) - sqrt(480)*1))\/sqrt(6) + (4 + sqrt(20)\/sqrt(4) - sqrt(5))*-1.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120243355 (base 6) to base 13.\nAnswer: -6121a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 1671 = 829. Let o be (-15)\/d*-8 - 1. Factor -2\/5*l**2 + 0 + 1\/5*l**3 + o*l**4 + 0*l.\nAnswer: l**2*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n**3 + 11*n**2 - 29*n**2 + 18*n**2 - 22*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 = -5*z, z + 7 = m + 2*m. Suppose -4*c - m + 15 = 0. Solve -c*i = -7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.585 + -0.6. Let u = j - -0.015. Let x = -6 - -8. What is the closest to -0.1 in x, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-2*sqrt(720) - sqrt(720) - sqrt(5)) + 4)**2 + 3).\nAnswer: -592*sqrt(5) + 13728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6664)\/126)\/(-17) + 2\/(-18). Suppose -3*y + n + 3\/4*y**2 = 0. What is y?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**7\/28 - 11*y**6\/60 - y**5\/20 + 7*y**4\/12 + 5*y**3\/12 - 3*y**2\/4 + 151*y. Find z such that h(z) = 0.\nAnswer: -3, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21707.708776 less than 0.0866?\nAnswer: 21707.795376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4 + i**3 - 4923*i**2 + 122560?\nAnswer: -8*i**3 + 3*i**2 - 9846*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14 - 11 + 410*v**2 + 63*v**6 + 481*v**2 + 20*v**3 wrt v?\nAnswer: 7560*v**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - 118. Calculate the highest common factor of 77 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1053849\nAnswer: -1053849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -38*n**2 - 14*n + 17. Let t(p) = -13*p**2 - 5*p + 6. Calculate 6*c(v) - 17*t(v).\nAnswer: -7*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3320 (base 5) to base 12.\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -2*a**3\/21 - 23*a**2\/7 - 44*a\/7 - 71. Factor q(u).\nAnswer: -2*(u + 1)*(u + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k. Let o(l) = l**3 - 25*l**2 + 2*l - 55. Let s be o(25). Give d(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + 109*a**2 - 95*a + 218. What is m(26)?\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*j - 8*j = 3*j - 10*j + 20, -18 - 20 = 6*u - 2*j for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - i = 29179, -6*i - 6 = -8*i. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/27861312 and 1\/5568.\nAnswer: 807978048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*x - 35 - 147, 2*u = 5*x + 200. Is u a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -0.15, 3, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqqqqbbqb. What is prob of sequence qqqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 24. What is the tens digit of (-210)\/(-20)*10\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y**2 + 2 + 10*y**3 - 11*y**3 + 7*y**2 + 1 - 2*y**2 + y. Give d(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/15*o**2 - 92\/15*o + 1058\/15 = 0. What is o?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4536.829 + 4494.88066. Let s = -35.4456 - y. Let o = s - 6.5. Round o to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23 + -9 + 9 + -5. Suppose 0 = -33*s + 36*s - y. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60608221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.233 and -1185901?\nAnswer: 1185900.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -3245?\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 13*s**2 + 18*s + 86. Calculate i(-14).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-2 + 2 - v)*(-6*v**2 - 36 + 36) in the form m*v**3 + p + k*v**2 + j*v and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((2\/(-27))\/((-18)\/(-27))). Suppose 0 = -a*j + 15541 + 7922. What are the prime factors of j?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-36))\/(546\/(-12)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10 + 1 + 10. Let m(i) = i - 6. Let d(c) = 5*f(c) - m(c). List the prime factors of d(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 723465 and 225.\nAnswer: 3617325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (27 - -60 - 48).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 8*c**2 + 2*c + 2. Let m be a(6). Let k = m - 58. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4.9. Let v = -0.1 + 0.3. Is r > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1682 + 807. Suppose -3*f + 4204 + b = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3405694 nanograms?\nAnswer: 0.0000000000000003405694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104940 is divided by 1019.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1387 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22550684 is divided by 734.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*u + 24 = 0, i = 2*u + 4 - 17. Let t = i - -7. Calculate the remainder when 42 is divided by 15\/(-2)*4\/t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*((w\/(w**(-1\/28)*w*w))\/w)\/w)**(-1\/63) assuming w is positive.\nAnswer: w**(55\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/15)\/(165\/(-572)). Let b = -6\/25 - z. What is c in 2\/3 + b*c**2 - 8\/9*c = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2882\/5, -1\/8, -0.3, 87?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14323 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, r: 13}. What is prob of picking 2 r and 1 e?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194 - -198. Suppose -5*m + 472 = a, 1118 = -t*a - 5*m + 3036. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (99\/(-12))\/((-6)\/16)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893104757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14026, -28050, -42074, -56098, -70122?\n\"Answer: -14024*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -83, -113?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 17*p + 5. Let s be (-1)\/(32\/(-10) + 44 + -41). What is a(s)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 40. Let o be ((-4)\/(-6))\/((-12)\/v). Which is the nearest to 1\/3? (a) o (b) 1\/4 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 2*t**2 + (-t**2 - 2*t**2 + t**2)*(-3 + 2 + 2) - 2*t**2 - t + t to q*t + n + s*t**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 19*z - 369 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstssnzz. What is prob of sequence nz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-2 + -1)) + -1722 + 1578.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(52) - sqrt(156)\/sqrt(300)) + -1.\nAnswer: -1 + 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x. Let q be c(-1). Suppose 2*f - 71 = -q. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -7 (c) 44 (d) 337 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*(240\/(-7))\/2. Suppose 0*x + n = 4*x. Suppose -3*p = 2*g - x, 2*p + 5*g + 0*g = 29. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1184 - -1062. Let h = -0.7637 + 122.1337. Let k = h + d. Round k to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243005*u - 486010*u + 243002*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 10481.\nAnswer: 911847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1584) - (-1 + sqrt(1584))) + sqrt(1584) + sqrt(1584) + (sqrt(1584)*-1 + sqrt(1584))*-4)**2.\nAnswer: -48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51571 or -50814?\nAnswer: -50814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -1236 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 4*q**2 + 6*q + 1. Let f(m) = -7*m + 26. Let y be f(3). Determine a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -31*g**6\/20 - g**4\/12 + 239*g**3\/6 + 39*g**2. What is the second derivative of s(o) wrt o?\nAnswer: -1116*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - 20\/(-8). Suppose 0 = 4*o - w*r - 10 - 14, -5*o - 5*r = 20. Is -2 + 35 - o\/(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) - -6*sqrt(76)\/sqrt(4))**2.\nAnswer: -3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -19. Let b(y) = -3*y**2 - 10*y - 3. Let c(i) = -4*i**2 - 11*i - 3. Let l(m) = 5*b(m) - 4*c(m). Let a be l(k). Solve -z + a = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**2 + 79*b - 11. Let o(p) = -7*p**2 - 78*p + 9. Calculate 6*o(n) + 5*x(n).\nAnswer: -2*n**2 - 73*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*r = 97*r - 60. Solve l - 4*f - 3 = 0, -r*f + 8*f + 35 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13a - -9?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3661790, 3661793, 3661796?\n\"Answer: 3*t + 3661787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025516936 to six dps.\nAnswer: 0.002552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1176 - -1233. Solve 4*s + c + 20 = 0, -52*c + 16 = s - b*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*v**3 + 2852*v**3 + 14 + 4 - 18.\nAnswer: 2363*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 277226890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 59 = 4*m + a, -3*m + 5*a = -50. Let l(f) = -f**2 + 6*f - 3*f - 14 + 15*f. What are the prime factors of l(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w + 24. Let y be a(5). What is the second smallest value in 0.1, -2, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5137 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002321307233 rounded to seven dps?\nAnswer: -0.0002321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1289960 and 2191.\nAnswer: 403757480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -40)\/((-2)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 10 - 28)*(302*a**3 - 609*a**3 + 305*a**3 - 40*a**2) as u + n*a + k*a**3 + m*a**2 and give k.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 813259.6mg in nanograms?\nAnswer: 813259600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 2. Let i(n) = -2*n + 2*n + 4 + 4*n - 1. Let l = -5 + 9. What is l*i(b) - 5*h(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 618 + -560. Suppose 23 = -5*o + d. Let p(s) = 3*s + 2. Calculate p(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -429 - -2806. Suppose 5*k = 2*f + 5141 + 792, -3*f + m = 2*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -4236?\nAnswer: -25416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1171, 1215, 1287, 1387, 1515?\n\"Answer: 14*w**2 + 2*w + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0 + n - 7 + 4. Let q be v(6). Solve -s**2 + 0 - 1\/3*s + 4\/3*s**q = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*b + 0 + 4 as q + p*b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**6\/2 - 34*v**5\/5 + 27*v**4 - 56*v**3\/3 + 271. Solve p(w) = 0.\nAnswer: -14, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*i**2 - 7*i**3 - 206*i**2 - 1 in the form q + s*i**3 + x*i**2 + k*i and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*(-18)\/4. Suppose d*t - 3*b = 2*b - 9, -6 = 2*t + 2*b. Let s(u) = 4*u + 6. Let a be s(t). Let g(w) = -w**3 - 6*w**2 + w + 2. Calculate g(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/5, -19 in ascending order.\nAnswer: -19, -3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffufuu. What is prob of picking 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 3:06 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p = 31*p - 21. Suppose p*t + 24 = 4*u - t, -8 = -2*u + t. Calculate the smallest common multiple of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3676*c**4 + 1038*c**2 + 2*c wrt c.\nAnswer: -88224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**3 + 4*o**2 + 2*o - 2. Let q(m) = -m**2 + 0*m**2 + 3*m - 4*m**3 + 6*m**2 - 2 + 10*m**3. Let c(x) = -7*j(x) + 6*q(x). Give c(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d**2 + 851*d + 2. Let q(b) = -29*b**2 - 2561*b - 6. Let n(o) = 3*q(o) + 8*x(o). Differentiate n(c) with respect to c.\nAnswer: 2*c - 875","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j**3 + 5*j - 6. Let h(k) = -9*k**3 + 4*k - 5. Let c(q) = 6*h(q) - 5*v(q). Find the second derivative of c(i) wrt i.\nAnswer: -84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3648845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Solve -f + 26 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -4. Let p be (-12)\/8*k\/(-3). Solve 4*d - 8 = -0*d - y, 10 = 5*d - p*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 12, v: 3}. Give prob of sequence lpp.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Let c = -36 - -67. Let d = c + -94\/3. Sort d, a, -4 in descending order.\nAnswer: a, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 4*b - 7. Let h = -4205 - -4200. Let j(x) be the first derivative of 4*x**3\/3 - 3*x**2 - 10*x + 1. Determine h*j(l) + 7*i(l).\nAnswer: l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = -4*m - 2*v + 4342, -2*m + 1884 = -5*v. Suppose 4*d + m = -25. Let f = -156 - d. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 51*b**4 - 219*b**3 + 741*b**2 - 939*b + 480. Let j(s) = -5*s**4 + 22*s**3 - 74*s**2 + 94*s - 48. Let r(v) = 2*i(v) + 21*j(v). Solve r(h) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(300) + sqrt(300)*2).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22*11\/363*3\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + k - 8, -4*j = 2*k - 0*k - 8. Suppose -22 = j*c + 4. Let q(i) = -i**3 - 11*i**2 + 29*i + 43. Let m be q(-13). Sort c, 1, m in descending order.\nAnswer: m, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 3\/2, -4, 97, -63?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 173. Suppose -p = -y - y. Let a = 92 - y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3340.6 + -2914. Round k to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) 1 (c) 0.5 (d) 14.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0 + 2. Let m = 38 + -36. Are m and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/120 + b**5\/20 + b**4\/12 - b**3\/3 - b**2. Let m be v(4). Let o = m + 8. Sort -0.4, 0, o in descending order.\nAnswer: 0, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 469, -61 in increasing order.\nAnswer: -61, 9, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose q = 4*k - 625, -f*q - 317 = -2*k + 2*q. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565908353.\nAnswer: 23, 59, 101, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 1.9. Let b = -54 - -57. Is n > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553111325 (base 6) in base 4?\nAnswer: 211330200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -822*b**6 - 811*b**2 wrt b.\nAnswer: -98640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2842?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35886.\nAnswer: 2, 3, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13 + 15 + (0 - -1 - 1). Solve 4*h - u*t + 4*t = 18, 0 = h - 4*t - 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -61. Suppose 3*q = -p*u + 2*u - 30, 0 = u + 4*q + 7. Solve -m + 3*d - u = 0, 0*d - 4*d = -16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 20 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10780 + 10777.3935. Let s = t - -2.6. What is s rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txubottouuxu. Give prob of sequence bux.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 17. Let z(f) = f - 11. Let k be z(0). Let l be i(k). Suppose -4*u = -2*r - 138, -l*r + 2*r + 120 = 4*u. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 107*t**2 + 43*t + 591. Let a be k(54). Sort 1, 2, a, 18.\nAnswer: a, 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*z = -0*q + 32, -3*q = -5*z - 48. Solve 0 = 3*x + 2*j - 14, -4*j = -x + 4*x - q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12319 + -12282. Solve -66 = -q*d + 70*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3041 and 0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44268101 is divided by 5433?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 - -210. Calculate the greatest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -169000 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -3.2. Let x = 0.1757 + 181.0243. Let j = x - 181. Which is the nearest to -1? (a) g (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 2:45 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*a = -1, -2 = -a - a. Determine y so that -4\/13*y**3 + 6\/13*y**4 - 4\/13*y**s - 2\/13 - 2\/13*y**5 + 6\/13*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 0*d + 361 = 5*c - 6*c, -d - 241 = -9*d + c for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -15. What is the remainder when t is divided by 1\/2*(-3 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6*11\/(-55))\/(28\/(-48))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -102*a - 102*a - 2 - 6*a**3 + 216*a - 8*a**2 + 3*a**3 + 4*a**3. Calculate t(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 86565.83um?\nAnswer: 86565830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -825 + 378. Let v = o + 450. Solve 0 = f - v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -47 (c) -0.3 (d) -1\/2 (e) 5\/4 (f) -3 (g) -80.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1254551 (base 6) to base 10\nAnswer: 69763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n**2 + n)*(3 - 3 + 1) - 2*n**2 - 3*n**2 + 4*n**2 + (2*n - 3*n + 0*n)*(-2*n + 1 - 1)*(58 - 89 - 131).\nAnswer: -327*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224313 - -23?\nAnswer: 224341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/4)\/4*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 9*h**2 + 14*h + 39. Let n be z(-10). Let r be n*8\/28 + (-309)\/(-714). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/2*20\/(-25). What is the derivative of 9*h**r - 13 + 9*h**4 - 10*h**2 + h**2 wrt h?\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*z - 2 + 66*z**3 + 4 + 837*z - 420*z.\nAnswer: 66*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -329834 divided by 218\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 n when four letters picked without replacement from {j: 3, n: 4, f: 4, k: 2, y: 3}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*-2 + 2 - sqrt(363)*1*4) + -4)**2.\nAnswer: 264*sqrt(3) + 13072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662329?\nAnswer: 19, 87491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 21*r + 144. Let a be r*((-4)\/18 + 21\/(-189)). Solve a*y + 11 = -7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 7*j**2 + 2*j + 2. Let w be l(7). List the prime factors of 8\/6*w*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 99*r**2. Let l(k) = -10670*k**2 + 3*k. Give l(o(c)).\nAnswer: -104576670*c**4 + 297*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137778*z**6 + z**4 - 2*z**3 + 1796853*z**2.\nAnswer: -16533360*z**3 + 24*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -15*k. Let y be x(-2). Round y to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6385110 to the nearest integer?\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21222212010202 (base 3) to base 11\nAnswer: -2442137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11076202153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28\/3 - 9. Which is the nearest to 1? (a) q (b) -3\/8 (c) -1 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285037\/104 + 5481\/2. What is the common denominator of l and -3\/5?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 647369 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1571.9 - 1495. Let r = s + -77. Let l = 0.04 + -0.14. What is the nearest to r in 8, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1396\/(-14) - (-6)\/(-21). Let t be (8\/10)\/(8\/o). Let d = -6 - t. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 1. Suppose -16 + 14 = 2*x. Let j(l) = l + 3. Let i be j(-6). Put u, i, x in descending order.\nAnswer: u, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.039 + 4.961. Is 0.1 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 415 - 412. Suppose 5*f = -0*j + q*j - 3, 4*j - 21 = f. Calculate the remainder when 47 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:15 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5447437 by -823.\nAnswer: -6619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12) - 527\/(-612))\/1.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3080137 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*d*d\/d**(5\/2)*d*((d*d**(4\/3)*d)\/d)\/d**(-2\/21)*(d**2\/d*d\/(d**3\/d))\/(d\/((d\/d**(1\/2))\/d))**(2\/153) assuming d is positive.\nAnswer: d**(4219\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.87, -0.1, -2\/3, 2.8, 0.8?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-95)\/(-25) + -5)*-10. Suppose -4 + h = p. Suppose -p*g - 130 = -10*g. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18 - (14 + -4))*(-1)\/(-8). Let j be 13\/18 - 1\/2. Sort r, j, -10 in ascending order.\nAnswer: -10, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -531425673.0000044 - -531425459. Let a = g + 214. Round a to 7 dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 19*y**2 + 28*y + 68. Give m(17).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179\/3 - -4013\/66. Let x be -1 - ((-14044)\/(-4605))\/1. Let s = x - 1\/3684. What is the common denominator of j and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803756 (base 11) in base 4?\nAnswer: 23230100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12552413 = d, -3*c + d + 2*d = -9414303. Let a = c + -10138104. What is a rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 + 11.12. Let h = -6 + s. Let p = -6.2 + h. Round p to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z. Let b be n(-3). Suppose -3*s + 48 + b = 0. Let g = 13 + -8. What is the greatest common factor of g and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r + 4 + 5 - 2 + r**2 + 2 + 8*r**4 - 10 - 2*r**3 to n*r**3 + z*r + c + v*r**2 + w*r**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 1, h: 10, g: 2, a: 1}. Give prob of picking 1 b, 1 h, 1 f, and 1 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s**3 - 165*s**2 + 358*s - 80. Let r(l) = -215*l**3 + 1980*l**2 - 4295*l + 960. Let w(k) = 25*m(k) + 2*r(k). Factor w(q).\nAnswer: 5*(q - 4)**2*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1544*f**2. Let u(a) = 3*a**2. Calculate u(g(y)).\nAnswer: 7151808*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -49*a**4\/2 + 2534*a**3\/3 - 3320*a**2 + 4600*a + 6901. What is i in n(i) = 0?\nAnswer: 10\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -4, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 - 4*t**3 - 59*t**2\/3 - 26*t - 32\/3.\nAnswer: (t - 16)*(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 27.1. Let s = -5.58 - -0.08. Let j = 5 + s. Which is the nearest to o? (a) j (b) -3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 not equal to 828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 r when four letters picked without replacement from rrrrddmddbmrmrrsr?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 6) to base 15\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -214*o - 575. Let m(w) = -73*w - 192. Let u(c) = -17*m(c) + 6*s(c). Let z be u(-5). Put -4, z, 1 in decreasing order.\nAnswer: z, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 13, g: 3, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 8:37 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 681 = -2*p, 9*p - 4*p - 1707 = 2*f. Calculate the greatest common factor of p and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 22 = 10. Suppose 9*f = k*f + 9. Calculate the greatest common factor of f and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.08983l?\nAnswer: 4089.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1511\/9 - -1514\/9. Let u be (0\/(-2) - 4) + -2. Let f be 5\/u*(-4)\/(-10). Sort -4, 2\/5, f, b in descending order.\nAnswer: 2\/5, b, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 982.4 + -982. What is the second biggest value in 9, -12, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353482079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1713, -2, 5, 2 in increasing order.\nAnswer: -1713, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 0, l - 4*l - 4*h = 14. Let f = 0 - -13. Suppose -5*o + 17 = -f. What is the least common multiple of o and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 7) to base 9.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -30\/13, -5327?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*d - 5)*(-124 + 124 + 6*d)*(4 - 1 + 1).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7805 and 102270?\nAnswer: 22806210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.45 + -0.75. Which is the nearest to 1? (a) 3 (b) 1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/11250 and -79\/150?\nAnswer: 11250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, h: 2, m: 1, s: 2}. Give prob of sequence hh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 28 = -0*v - 2*v + 2*f, -72*v + 96*v - 5*f + 84 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {l: 1, d: 1, k: 2, y: 2, x: 1, g: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -171*a**2 + 68*a**2 - 1880*a**2. Let l(z) = -z. Determine l(y(f)).\nAnswer: 1983*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513272, -513686, -514104, -514526, -514952, -515382?\nAnswer: -515816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {m: 1, l: 11, y: 1}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6445 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 12. Let t be k(0). Let s be (-4)\/(-8)*t\/(-2). Is (s\/(-9))\/(3\/495) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s + 4*r = 42*s - 7, 0 = s - r + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1965, 3863, 5761, 7659?\nAnswer: 9557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33092, -3, -2\/7, 3\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68360.7 + 68360. Let d(o) = -2*o + 7. Let s be d(6). What is the third smallest value in m, s, 0.1, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -57*q**3 + 5*q**2 + 18*q - 2. Let d(g) = 38*g**3 - 3*g**2 - 12*g + 1. Determine 8*d(n) + 5*h(n).\nAnswer: 19*n**3 + n**2 - 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -420021102 (base 5) in base 11?\nAnswer: -a75415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 + 21*l - 18. What is r(-11)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let s be -1 + -27*(p - 1). Let t = -12 + s. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 0.14432288.\nAnswer: 0.0028864576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4717*l**2 - 6*l + 7. Let q be (-187)\/(-44) + (-3)\/(48\/4). Is s(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*i**3 - 30*h**2*i**2 + 16*h**2*i - h*i**3 + 3*h*i**2 + 21*h*i + 1 wrt h.\nAnswer: 2*i**3 - 60*i**2 + 32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0 + 5 - 3 - 3 + (-1 + 0 - 1)*(-2 - 3 + 3))*(-93 + 93 - 10*h**3) - 20 - 10*h**3 + 20.\nAnswer: -50*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -117\/4 (c) -3\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1887619*h**2 - 14278050.\nAnswer: -3775238*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q - 7059 = -5*i, -5*q - 4245 = -3*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**7\/2520 + v**4\/12 - 2*v. Let q(g) be the third derivative of k(g). Let y(d) = -2*d. Calculate q(y(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 23. Suppose 4*n = n + l + 452, 0 = -3*l + p. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/((-15)\/(-9)). Suppose -b + 4*b + 3 = 0. Is b at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + -1*sqrt(147)) + -1 + (sqrt(3) - sqrt(24)\/sqrt(8)) + sqrt(27) + -3.\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let p be -2 - 22\/(0 - 2). Let l(r) = p*r**2 - r**2 - 2*r**2. Give l(d(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkw when three letters picked without replacement from {r: 1, k: 1, v: 1, h: 1, w: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3)\/2 - -14. What is the highest common divisor of 153 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.225 to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 12*s - 2*s**2 + 17*s. Let j(p) = -7*p**2. What is j(r(n))?\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -15*k + 210. Calculate the lowest common multiple of k and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 836\/(-33) - (-5)\/(30\/(-4)). Let q(c) = -8*c - 82. What is the tens digit of q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-6)\/8). Let x(r) = 2*r**2 + 2*r + 2. Let k be x(p). Suppose -k*m + 30 = -m. Solve m*t - 10 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -114 (b) 3 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 357 - 355. Solve 3\/4*f**3 + 0*f**x - 3\/4*f + 0 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 11*z + 107 = 0, -x - 793*z + 794*z + 15 = 5*x - x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192239\/14 + 13737. Is 7 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058 - -6?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 43. Let n be 4\/1 + -1 - l. What is the greatest common divisor of 120 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9678 * -968.\nAnswer: -1904.8304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*h**3*v + 5*c**3*h + 9*c**3*v - 9*c**2*h**3*v - c**2*h*v - 5*h**3*v wrt c.\nAnswer: 12*h**3*v + 30*h + 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n - 571. Give y(-72).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 19488 = -4*p - 175443, 5*j = -4*p + 155995. What are the prime factors of j?\nAnswer: 5, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 0, 0 = 3*d + 2*y + 2*y - 171. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3*24\/(-16). Let p(w) = 87*w + 2. Is 14 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20414, 20384, 20334, 20264, 20174, 20064?\nAnswer: 19934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1)\/((-8)\/12). Suppose 1349 = s*m - 214. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (138 - 2*w**2 - 64 - 72)*(-w - w + w) to j + i*w**3 + k*w + z*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -24 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-11 - 87) - 9)*20\/(-60)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104547, -104192, -103851, -103530, -103235, -102972, -102747?\nAnswer: -102566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 47 = -41. Suppose -j - 34 = -y. Let u be 3\/j*10\/(-15). Is 0 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-3)*(-30)\/4. Suppose -2*x = 3*x + s. Let w be 1*2 + 20\/x. Which is the smallest value? (a) -4 (b) -3\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 107 + 118 = 0. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -73. Let q(r) = -2 - g*r + 5 + 0*r + r. Let m(b) = -b. What is -3*m(o) + q(o)?\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*b**2 + 42*b**2 + b - b + 19*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j - 43. Let i be q(-5). What is p in 4\/11*p + 2\/11*p**i + 2\/11 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*o**2 + 111*o.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (9 - 4) - (16 + -18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 100001010111?\nAnswer: 100001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 13. Let k be s(-6). Let x be k\/(-2 - 3\/(-1)). Suppose 4*j - 2*c + 10 = 8*j, -3*j + x = c. Solve 3*r + 4*n + 11 = 0, 5*r - n + j = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543985600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let s be 8\/3*(-36)\/16. Let f = s + 9. Let g(n) = -f*n**2 + 0*n**2 + n**2 - 4*n**2. What is g(z(i))?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 0*h + 2*h. Let y(w) = 122*w. Let x(m) = 55*m. Let q(d) = -11*x(d) + 5*y(d). Calculate r(q(o)).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 7*v**3\/3 - 2*v - 4. List the prime factors of k(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 708\/205 - 11\/205. What is the common denominator of -20\/599 and k?\nAnswer: 2995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 3, 32 in descending order.\nAnswer: 32, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsssslblklcsklksbs. Give prob of picking 2 s.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let j(d) = -28*d**2. Calculate s(j(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1665610907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 47*-17\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + s**4 + 0*s**4 + (0*s + 3 - 2 - 4*s)*(3*s**2 - s**3 - 3*s**2) + 2*s**4 + 17*s - 17*s.\nAnswer: 7*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1197 is divided by (-8)\/5*(140\/(-7))\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/11 and -73\/1170.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 379 - 370 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*b + 12 = -326*b. Suppose -5*t + 4*x - 21 = -8*t, b*x - 24 = -4*t. Solve 2*m + t*u + 2 = 3, 5 = -2*m - u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/30 + j**2. Let t(c) be the third derivative of -c**5\/20 - c**2. What is r(t(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 35 = -4*j - 3*l, 0 = 4*j - 5*l + 45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6783006, 6782995, 6782962, 6782895, 6782782?\n\"Answer: -2*s**3 + s**2 + 6783007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from widiwrirsr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21758, -10.\nAnswer: -10, -1, 21758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 191 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/42*4*(139 + -123 + 61\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7375.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/10*(-20)\/8. Let p = 7 - -8. Is (2\/3)\/(x\/p) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from {b: 3, s: 1, l: 5, c: 7}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127385438*z**3 - 492*z + 31300?\nAnswer: 764312628*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 188138 (base 9) in base 11?\nAnswer: 802a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130.225us in seconds?\nAnswer: 0.004130225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/6541 (b) 0.3 (c) 3 (d) -3 (e) -2 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvi when three letters picked without replacement from {v: 1, i: 3, z: 1, y: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 5, -1, -182, 6 in increasing order.\nAnswer: -182, -2, -1, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8309350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0045 - -0.1045. What is the nearest to 1\/4 in -0.2, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(162) - ((sqrt(162) - (sqrt(162) + -1)) + sqrt(162))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 - (-4 - 11426). Suppose 9*j = -t + 36792. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7712317 decades to years.\nAnswer: 7.712317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v + 2. Let t be p(-3). Suppose t = u - 16. 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: Let c(w) = -w**2 + 5*w - 2. Let r = -7 - -11. Let y be c(r). Factor 2*j**2 + 10*j + 4 - 2*j**y + 8*j**2 + 5*j**3 - 3*j**3.\nAnswer: 2*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 9*o**2 + 15 - 62 + 2*o**3 + 22 + 20. Let x be 18\/4*(-8)\/6. Let r(t) = -t**3 - 4*t**2 + 3*t + 2. What is x*d(b) - 14*r(b)?\nAnswer: 2*b**3 + 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 80*o + 332 + 424 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqllqqlllllv. What is prob of picking 1 v, 2 q, and 1 l?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2356 or -32997\/14?\nAnswer: -2356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 8*a**2 + 11*a + 9. Determine m(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 3 - 3 - 10 + 5*d + 10 + (d + 0 + 0)*(-1 - 1 + 0).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, 2, -387116, 1 in decreasing order.\nAnswer: 5, 2, 1, 0, -2, -387116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2783 - 1633. Let y be (2 - 3)*3 - u\/(-230). Find r such that 3\/2*r - 6 + 3\/4*r**y = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 + 5*w - 7. Suppose v + 3*z = 6*v + 39, -3 = -z. Let y be s(v). What is the remainder when 50 is divided by -1*(-2 + y + -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.14, -4, 0.09, -36?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 4. Let f be g(2). Suppose 0 = b - f*b - 4*k - 29, -5*b - 2*k + 35 = 0. What is the remainder when 21 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24\/5 + -207\/40. Let n = -63559 - -63559.3. Which is the nearest to -1\/3? (a) l (b) -7\/4 (c) n (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**6\/i*i)\/i**(-2\/7)*i**(-9)\/((i\/i**(3\/10))\/i) assuming i is positive.\nAnswer: i**(-99\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j**3\/11 - 574*j**2\/11 - 998*j\/11 + 644\/11 = 0.\nAnswer: -46, -7\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*y**5 + 2159\/8*y + 289\/2 - 4*y**4 + 205\/2*y**2 - 107\/4*y**3 = 0. Calculate y.\nAnswer: -17, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, -2\/21, -7 in descending order.\nAnswer: 0.4, -2\/21, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 17*h**2 - 5*h + 59. Calculate q(17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 577 divided by -79\nAnswer: -577\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*f - 31. Is 12\/(-18)*f + (0 - -5507) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 101 - u**2 - 8*u + 122. Let m be o(4). Solve 0 = -k - 2*k + 2*c, m*k - 2*c = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 1 q when three letters picked without replacement from outukoqouuqukoqqfuu.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.6 in 2\/5, 0, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3 = -444. What is the common denominator of (-56)\/v + -2 + -2 and 3\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 16464209 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 211. Let r = 115.77 + n. Round r to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 831871 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/242227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5601035 (base 7) to base 3\nAnswer: -1022000202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727 - 24641764?\nAnswer: -24640037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 + 0*d**5 - 3*d**5 + (-5*d**4 + 2*d**4 + 0*d**4)*(-d - d + 3*d) + 0*d**5 + 3*d**5 - 4*d**5 + d**5 - 3*d**5 + 7*d**5.\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5\/4 + 33*s**4\/4 - 23*s**3\/2 - 11*s**2 + 18*s + 8 = 0. What is s?\nAnswer: -1, -2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 3*t + 2*t. Suppose 240 = 4*h - 3*r, -5*h + 2*r + 300 = -2*r. Let s = t + h. What is the highest common divisor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 2. Let v be z(-2). Let l = 25 - -7. What is the highest common factor of v and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8. Suppose t*g - 8*g + 648 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - k**3 + 4*k**2 - k**4 - 11 - 16 - 6*k**2 to the form n*k**3 + g*k**4 + c*k**2 + q*k + z and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 - 48*h. Let q(i) = -13*i. Determine q(u(m)).\nAnswer: -65*m**2 + 624*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 226 + 20?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80805.\nAnswer: 3, 5, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. Suppose 2*u = 4*u + d. Let i be -2 + (-16)\/(-10) + (-2)\/5. Is u > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77341 divided by -5\nAnswer: 77341\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and 0.233427?\nAnswer: 11.766573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 30 = 8*a. Let w = a - -12. Let p(v) = 2*v**3 - 2*v**2 - 3*v + 3. Let d be p(w). Solve 20 = d*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c - 4*c - 1184. Let d = 77 + c. Suppose 17*w - d = 14*w. Which is bigger: 8\/17 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 3*o**2 + 5*o - 8. Is n(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -10. Calculate the greatest common factor of 28 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -14*f. Let v(w) be the second derivative of -w**4\/4 - 16*w. Determine n(v(j)).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1406\/10 - (-51)\/(-85). Suppose -8*r - 2*r + f = 0. What is the remainder when 25 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -176044, -353752, -531458, -709162, -886864, -1064564?\n\"Answer: j**2 - 177711*j + 1666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 8*t - 12. Let o be k(-10). Let v = 8 - o. Solve v*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 11:24 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4787557 is divided by 2393734?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (0 - (0 + 3)). Let a be -2 + u\/4 - -3. Suppose 2*i + 2*g - 13 = g, -g = -2*i + 3. What is the closest to a in -1, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230*k**2 + k**5 + 14*k**2 + 60*k**2 + 407*k - 63*k**2 wrt k?\nAnswer: 20*k**3 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188227 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 1, -12*g - 6*g - 12 = -20*g - 2*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*t + 12 = 0, -24 = 4*i - i - 3*t. Let j = 71 + -69. Let p(r) = -5*r - 6*r**j - 12*r**2 + 25*r**2 - 8*r**2. Give p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000981 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*c - c - 16 = 0, -4*c - 10 = 3*b. Suppose 0 = b*p - 118 - 496. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.009, 3\/8, 174?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6502.16 to the nearest 100.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*p**2 + 118*j**2 + 109*j*p**2 - 2*j*p - 2*p + 151 wrt p.\nAnswer: -2*j**2*p + 218*j*p - 2*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86, 123, 162, 203, 246, 291?\n\"Answer: m**2 + 34*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7521295 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37864?\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -134, -125, -90, -11, 130, 351?\n\"Answer: 3*f**3 - 5*f**2 + 3*f - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2500*m + 83666 + 166334 = 0 for m.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, r: 2, u: 7}. Give prob of sequence rr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78424 (base 10) to base 15.\nAnswer: 18384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.06 - 0.76. Let m = -409.42 - -406. Let r = m + 3.4. What is the third biggest value in 1\/6, g, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(160) + sqrt(10))*-6)\/(sqrt(15)\/(4*(sqrt(3) - (sqrt(3) + sqrt(18)\/sqrt(6))))))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0, -0.1, 7\/5, -0.06, 548?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/120 + a**4\/8 + 7*a**3\/3 + 11*a. Let j(m) be the second derivative of d(m). What are the prime factors of j(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 28*v**3\/3 - 6*v**2 + 33*v - 82. What is the hundreds digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*n + 746 = 233. Factor 0 - 3\/8*w - 1\/2*w**2 - 1\/8*w**n.\nAnswer: -w*(w + 1)*(w + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*k + 36. Is (-987)\/k + (-4)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/2 + 292165*v = 0 for v.\nAnswer: -584330, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -556, -547, -538?\n\"Answer: 9*v - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4015698 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 - 3*u - 3. Let i(h) = 36*h**2 + 26*h + 26. Let q(z) = -52*a(z) - 6*i(z). Let o(w) = -3*w**2 - w**2 + w**2. Calculate q(o(n)).\nAnswer: -72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 36*f**2 + 40*f - 130. Determine q(37).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9527791 millilitres?\nAnswer: 0.0009527791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.45 - -29.25. Let f = 4.61 - 0.11. Let n = f - h. Which is the third biggest value? (a) 0 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 10. Let m be 18\/8 - (-1)\/(-4). Let u be (6\/1 - m) + 0. Put h, u, 2 in decreasing order.\nAnswer: u, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8492, 15459, 22426, 29393, 36360, 43327?\n\"Answer: 6967*x + 1525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.732 - 0.483. Let n = r + -0.24900495. Round n to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 17*g - 16. Calculate the remainder when (2\/(-4))\/(15\/(-60)) is divided by o(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 10. What is the units digit of (-505)\/(-25) - (-2)\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z**5 + 7235*z**4 - 246975*z**3 - 988895*z**2 - 547350*z = 0.\nAnswer: -3, -2\/3, 0, 41, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0*12\/(-168). Let q(r) = 6*r**3 - r**2 - 2*r - 2. Let x(p) = 0*p**2 - 1 - p + 0*p - p**2 + p**3 - 2*p**3. Give l*q(h) + 2*x(h).\nAnswer: -8*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17622771 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 559*h**4 + 8*h**2 - 24*h + 2980. Let s(y) = 555*y**4 + 9*y**2 - 27*y + 2979. Let l(w) = 9*q(w) - 8*s(w). Differentiate l(g) with respect to g.\nAnswer: 2364*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(684) + 1 + sqrt(19) + ((sqrt(76) + (sqrt(76) - (sqrt(76)*-1 + sqrt(76))))\/sqrt(4) - sqrt(19)))**2.\nAnswer: 18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39615 or -198069\/5?\nAnswer: -198069\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m**2 - 27*m + 19*m + 14*m. Let g(w) = 13*w**2 + 12*w - 1. Let r(y) = 6*g(y) - 11*n(y). Calculate r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*t = 4*q + 9, 0 = -4*q + 4*t + 36. Solve q + 4 = -3*v + 2*n, 4*v + 29 = 5*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*q + 956*q - 2061*q - 3666 = 0 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1852\/3 + -617. Which is the nearest to 0? (a) -3 (b) u (c) 1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -2\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 280932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qzqzqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 19*f**4\/24 + 97*f**3\/3 + 6*f**2 - 4*f. Let a be n(-9). Calculate the highest common factor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 132 = -113. What is the common denominator of 30\/120*o\/2 and 81\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495 divided by -299?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t - 115*t - 1947 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -15620 and -16083 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 - 176.87. Let v = -0.04 + 0.05. Let r = v - f. Round r to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*o + 0*o + 6 = 0, -5*v - 5*o = -45. What is the smallest common multiple of (13 + -1)*6\/4 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175057, 350116, 525175, 700234?\nAnswer: 875293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**2*n + 411*a**2 - 10*a - 47342*n + 2 wrt a.\nAnswer: 6*a*n + 822*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*g - 2016, -b + 5953 = 2*b - 4*g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 183550660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 373 = 5*q, 739 = 4*b + 3*q. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1300 = 3*k. Suppose -2*h + 322 = 5*m, 0*m + 4*h - k = -4*m. Does 7 divide 1\/(-3) - m\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:04 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2845761346 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let f = 19 + -3. Let v(g) = -f*g**2 + 10*g**2 + 8*g**2. Determine v(a(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 - 4.3. Let u = 3 + -2. Which is the nearest to u? (a) n (b) 3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 25*m**4 - 43*m**2 + 7*m. Let h(s) = -12*s**4 + 22*s**2 - 4*s. Let g(y) = -7*h(y) - 4*k(y). Find the third derivative of g(c) wrt c.\nAnswer: -384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 6*m**3 - 2*m**3)*(-2*m + 0*m + 3*m)*(-2 - 5 + 11).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(13))*-4*-4.\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + -22. Suppose 32*b + 5*o = 36*b - 139, 4*o = -3*b + 81. Calculate the remainder when h is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 5*k**2 + 1\/42*k**7 + 0*k + 5\/12*k**4 + 0*k**3 + 1\/6*k**6 + 0 + 5\/12*k**5. Find r such that d(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37759703?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 16. Let y = -26.2 - h. Let s = 5 - y. Which is greater: s or -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 590 and 110.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 361.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4691 - -4696. Solve 5*s - 3*d - 7 = 7, 4*d = w*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110200000002 (base 3) to base 9\nAnswer: 420002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**5 - 3*n**4 + 35*n**3 - 3*n**2 - 9*n + 7. Let a(d) = -d**4 - d**2 - d + 1. Let v(r) = 3*a(r) - i(r). What is the second derivative of v(b) wrt b?\nAnswer: -40*b**3 - 210*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 - 4*a. Let b be u(3). Let x = b - 2. Suppose -2*m + 6 - x = 0. Put -3, m, 2 in ascending order.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = m + 12*a - 183, 0 = -a. Suppose 120 = 3*u - 3*k, 0 = 3*u - 0*k + k - 108. What is the remainder when m is divided by u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let r(n) = -n**3 + 3*n**2 + n + 3. Let o be r(3). Let w be 6\/(-9) - (-52)\/o. Let q(x) = 8 - w + 3*x. Give -5*p(v) + q(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1526*i - 8165. Let k be j(6). Which is bigger: -17320 or k?\nAnswer: -17320","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 14, e: 5}. Give prob of picking 1 e and 1 j.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.900022 - -2.9. Round a to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 519546.\nAnswer: 1\/519546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19 + -8)*22\/121. Let f = -10 + 9. Put f, 1, s in decreasing order.\nAnswer: s, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 3)*((0 + 0 + 3)*(3 - 4 + 0) - 2 + 3 + 0)*(0*h + 0*h + 2*h**2) to p*h + j*h**2 + v and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8896583?\nAnswer: 47, 73, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 118, -1, 4, 3, 181 in ascending order.\nAnswer: -1, 3, 4, 5, 118, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.577 + 3.287. Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2889048 and 77\/8?\nAnswer: 2889048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 169 = -3*t. Let c = t - 30. Suppose -3*g - 17 = -i - 6*g, 0 = -5*i + 4*g + c. What is the greatest common divisor of i and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3 + 1. Suppose 0 = 3*u + v*o - 18, 2*u + u = -4*o + 18. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -53. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1339 (base 11) to base 5\nAnswer: -23421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/9*5865\/(-35). Let j = l + 452\/3. Suppose -18\/7*u**4 + 0 + 0*u - 8\/7*u**5 - j*u**3 - 2\/7*u**2 = 0. Calculate u.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 + -2784064037192.\nAnswer: -2784064037191.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -21. Suppose 54 = u - g*p, -4*u + p + 183 = -0*p. Let o be (-3)\/15 + 1989\/u. Calculate the highest common divisor of 110 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235.057 take away 5?\nAnswer: 1230.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1161865, -1162025, -1162291, -1162663?\n\"Answer: -53*n**2 - n - 1161811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26789 and 924973?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2409852276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y + 2312 = 56*y. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 152 = -144. Suppose -j*m + 29*m - 126 = 0. What is the lowest common multiple of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43743 = 583*t - 1767 for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 108, -800, -1708, -2616, -3524?\n\"Answer: -908*l + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 10. Let x be p(-12). Suppose w = -3*c - c + 13, -x*c = 3*w - 69. Calculate the greatest common factor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135878 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*w - 2*w. Let l = 13 + w. Solve 5*m + l = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 930880.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 692016 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, -22, -1\/11, 2\/9, -1.3 in decreasing order.\nAnswer: 11, 2\/9, -1\/11, -1.3, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -139. Let p(n) be the second derivative of n**4\/12 + 5*n**3\/6 - 4*n**2 - n. Let r be p(-7). What is the greatest common divisor of i and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -284, -378, -64 in descending order.\nAnswer: -64, -284, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613138271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 divided by -27.\nAnswer: -238\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93377823 and 24387.\nAnswer: 93377823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 + 120\/36. Let t be (-21)\/(-9) + -3 + 128\/p. Let d = t - 38. Solve 2*o = 14 - d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 19*b + 17*b - 14*b.\nAnswer: 2*b**2 + 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.79109cm?\nAnswer: 0.0879109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/10 - z**4\/24 - z**3\/6 - 6*z**2. Determine p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 5390 + 5391 - 4*y - y**2 + 0*y. Let i = 3 - 8. Let o(s) = 4*s**2 - 2*s - 7. Let l(n) = i*p(n) - o(n). Determine l(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) -1 (c) -28.2 (d) 11 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 2*p)*(-3 + 3 - 2)*(5*p - 5*p - 3*p**3).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 - (-27 + 27).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 1056 - 1056 + 21*j.\nAnswer: j**3 + 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = -9. Suppose 0 = x*j - 5*u - 28, 2*j + 3*u + 10 = -3*j. Let r = -0.9 - -1.3. Which is the closest to j? (a) -3 (b) -2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -44, 0, 3, -0.2, -2\/3, -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqtpw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3392 and 103\/12?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50071 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: Let f(l) = l**2 - 468*l + 46448. What is f(143)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4062.8 - -4063. Let f(p) = 2*p + 3. Let u be f(-2). Which is the nearest to -1? (a) j (b) -8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/9 - (-90)\/(-1620))\/((-155)\/(-20)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f**2 - 3 + 39*f**2 + 3.\nAnswer: 73*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471621588 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001224557 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -828.81 rounded to the nearest ten?\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + -1)\/((-4)\/284*-1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74248417 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5208 and 545724?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 divided by 140?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -26*((-10)\/4 - -2). Let t(g) = -897*g + 117. Let h be t(0). Calculate the greatest common divisor of m and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hthhhhbhhhijhh. Give prob of picking 1 t, 2 h, and 1 i.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*q - 5387 = -151*q + 2353. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*i - 5*f, 0 = 1272*i - 1280*i - 4*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8614*j = -2*b - 8610*j + 8, -5*b - 25 = 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:09 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 153053 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 86*v**2 - 657*v + 335. What is p(93)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = 13*a - 2623. Round a to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*g - 3392 = 5648 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 333267 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2) + (-1 - 289). Let z = -2481\/149 + 499621\/1639. Let n = z + o. Is n != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103 - 17*h**2 + 67*h**2 - 2*h - 21*h**2 - 24*h**2 as s + i*h + x*h**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3172125615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 21*c**3 - 3765*c**2 - 22236*c + 6660 = 0?\nAnswer: -6, 2\/7, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 345318563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 + 108466*l**5 + 3*l**3 + 132*l**2 + 1954*l?\nAnswer: 240*l**3 + 6507960*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (4 + (-1 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3 + 34592627*c**2 - 216040121 wrt c?\nAnswer: 3*c**2 + 69185254*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-518))\/(56*(-78)\/(-7280)*(-15)\/(-63)).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -q + 9*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6780007?\nAnswer: 13, 521539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -20. Let v be 2 - w*29\/(-7). Which is greater: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1323)\/4410)\/((-1)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 2.806?\nAnswer: 0.8418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2520?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*b + 14, 12*m - 5*m + 46153*b + 59 = 46161*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2. Let b(s) = -1890*s**2 - 45. Let h(m) = 859951*m**2 + 20466. Let p(q) = 2274*b(q) + 5*h(q). What is p(j(d))?\nAnswer: 47375*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, -15, -33?\n\"Answer: -18*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -87*m. Let l(j) = 2109341*j**2. Determine l(r(c)).\nAnswer: 15965602029*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, o: 1, a: 5}. Give prob of picking 1 o, 1 i, and 2 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, k: 6, f: 6}. Give prob of picking 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t - 1. Let l be r(1). Suppose 0 = -0*n + l*n + 2800. What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1498 + 1498.000778. Round s to 5 decimal places.\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015280373 rounded to five dps?\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/44*-11 - (-50)\/(-46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 1)*(2*y**3 - 2*y + 2*y + 1 - 1 - 2*y**3 + (-y + y + 2*y)*(-y + y - 2*y**2) + 5*y + y**3 - 5*y) to w*y**2 + t*y + c + j*y**3 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-four fifths of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -72*z + 4. Let v(k) = -2*k - 63*k + 63*k. What is c(v(d))?\nAnswer: 144*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, -17, 3, -0.1669011 in descending order.\nAnswer: 3, -0.1, -0.1669011, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 0.02?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1901 - 1897. Factor 0 + 4\/13*h**3 + 0*h + 0*h**2 - 2\/13*h**i - 2\/13*h**5.\nAnswer: -2*h**3*(h - 1)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4300090, 8600208, 12900326, 17200444, 21500562?\nAnswer: 25800680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**(-25) assuming b is positive.\nAnswer: b**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:54 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 455145?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73615 divided by -7.\nAnswer: -73615\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 388, 120, 0 in increasing order.\nAnswer: 0, 120, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 459 + -457. Solve 4*v + 26 = t*g, 0 = -2*v + 6*v - g + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16817.\nAnswer: 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3592 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037047412 to five decimal places.\nAnswer: -0.03705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111112 + -11?\nAnswer: -111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 48*n + 10. Let b(x) = -19*x - 4. Let h(a) = 10*b(a) + 4*y(a). Let w(i) = 746*i**2. Calculate h(w(v)).\nAnswer: 1492*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*a - a - 9*w, 4*w = -a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*w + 125 = 0, 3*g + 155 = -7*w + 250 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-78)\/(-507))\/(45\/39) + 4\/(-30). Sort h, -2, -76, -5.\nAnswer: -76, -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3089.062 micrometers in millimeters?\nAnswer: 3.089062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + (2 - 2)\/2. Let z(x) = 4*x - 11. Let g(q) = -q + 1. Let k(a) = 10*g(a) + 2*z(a). Calculate k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-1) - (3 - 2). Suppose -2*r + 5*f = 8, f - u = -5*r + 4*f. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 17 - 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - 1. Let n(w) = 5*w**3 - w**2 + 9*w - 28. Let v(c) = -6*f(c) + n(c). Let o be v(6). Put 1, 0, o in decreasing order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*j + 5*j + 29*j + 35*j as l + r*j and give r.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -9*l + 54. Suppose 0 = 4*v + 4*b - 1188, l*b - 13 = 3. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.206.\nAnswer: -0.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6 and (6\/9)\/((-48)\/20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000573803 to 6 decimal places.\nAnswer: -0.000574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -73*a**3\/3 - 3143. Let s(d) = 24*d**2. Give s(n(x)).\nAnswer: 127896*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 2. Let l = 2 + r. Let p = -638779 - -638783. What is the second biggest value in p, l, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1\/90 (c) 6 (d) -0.1 (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.274 + 4.274. Let y = 1.37 - 1.3. Let h(l) = l + 1. Let a be h(-3). Sort a, y, f.\nAnswer: a, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024157926 to six dps.\nAnswer: -0.002416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -13*o + 55. Let c = 28 + o. Let n be (c*-4)\/((-12)\/(-80)). Round n to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 108. Suppose 0 = 14*s - q - 16. Let f(n) = n**3 + 2*n**2 - 2*n + 5. Let c be f(-3). Solve 5*p + s*z + 10 = 0, 2*p = -c*p - 2*z - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161*j**3 - 383*j**2 + 248430*j wrt j.\nAnswer: 966*j - 766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 14*w - 13. Let r be l(-13). Let u = r + -4. Does 15 divide 8\/16 + (-314)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/81 + -233\/405. Suppose 0*o - 5*o = 10. Let x be 2\/132 + o\/(-12). Which is the closest to 1\/2? (a) 1 (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddqqdqdqqqdqqdqdddq. What is prob of sequence qqqd?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 21022919\nAnswer: -21022901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -224312020?\nAnswer: -224312020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-143)\/(-1) - 0\/12. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 at least as big as 353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-42) - (-5)\/1*130\/(-858)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1728 and 47\/944352?\nAnswer: 1888704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Let n = 1 + y. What is the nearest to 1\/3 in -1, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.3 (c) 596 (d) 2\/3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) -10 (c) -26 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -142?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.4 + 164. Let p = -38 + c. Round p to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19940, -39854, -59768?\n\"Answer: -19914*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(198) - sqrt(220)\/(sqrt(10) - (sqrt(160) + sqrt(10))))\/(-2*sqrt(128)*3))**2.\nAnswer: 1331\/36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 133 = 3*w + 50, -5*w - 73 = i. Let z = 78 + i. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3)*j)\/j)**(-26)*j**(-1\/15)\/j**(2\/3) assuming j is positive.\nAnswer: j**(769\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(3 - (2\/2)\/((-13)\/(-13))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1415.88037 to one dp.\nAnswer: 1415.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*o**2 - 2)*(-1 + 1 + 2*o**3) + (-4*o + 3*o + 3*o)*(-5*o**4 + 7 - 7) + o**5 - 5*o**5 + 3*o**5.\nAnswer: -17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2292 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 74*z = 103733. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 986 = -25*o. Let s(j) = 48 - o*j - 48 + 11*j. Let n(y) = -2*y + 6. What is n(s(z))?\nAnswer: 12*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 + -149. Let b = 67.000114 - s. Round b to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from mgmfjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 0.1 (c) 0 (d) -5\/226 (e) -2\/5 (f) -381 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68020*m**3 + 659*m**2 - 2*m + 243253350 wrt m.\nAnswer: -204060*m**2 + 1318*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Let x(a) = a**2 - 8*a + 6. Let h be x(4). Let k = 25 + h. What is the highest common factor of k and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 41 + 53 = 0. Is 14*23 - (-3 + 8 + s) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 17 = 2*n + 5*u + u, 14*n - 3*u = 3*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 2*a**2 - a**2)*(4*a**2 - a**2 - 2*a**2)*(0*a + 6*a - 5*a).\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1136336 and 3224?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1694096\/3 or 564698?\nAnswer: 1694096\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*m + 13*m - 86*m - 82*m.\nAnswer: -412*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 21*w**5\/4 + 309*w**4\/4 + 519*w**3\/4 - 4017*w**2\/4 - 765*w + 297 = 0.\nAnswer: -11, -6, -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maz when three letters picked without replacement from zzamz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24021*m**3 - 15*m**2*p**3 - 3*p**3 + 33337*p + 11 wrt m.\nAnswer: 72063*m**2 - 30*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 - 27 - 129)*(-3 + 5 - 4)*(-37*j + 5 + 37*j - j**2).\nAnswer: -542*j**2 + 2710","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201*o**2 - 2415*o**2 + 1396*o**2.\nAnswer: 182*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 39*z - 108. Let u(o) = -39*o + 109. Let d(b) = 3*r(b) + 4*u(b). List the prime factors of d(-17).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((-26 - -4 - -8) + 52).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-2)*(-6)\/9. Let c be ((-9)\/(-6) + -2)*v. What is the units digit of ((-5)\/1*c)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61448040 to the power of 1\/2, to the nearest integer?\nAnswer: 7839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 1)\/(7\/14). Let c(y) = 2*y + 2*y - 3*y. Does 3 divide c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 135, 516, 1269, 2520, 4395?\n\"Answer: 21*a**3 - 3*a**2 - 3*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwqiqwiqicqiwqqw. Give prob of sequence iiwi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*o + 148216 = -282776. Calculate the highest common factor of 1681 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5760*x - 4. Let k(a) = -a. What is k(v(h))?\nAnswer: 5760*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(9\/6 - 2). Suppose 6 = -z + 1, -p*j + 37 = -z. Suppose 24 + j = 2*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -1.4. Let l = 4 - s. Let z = 5 - 1. Which is the second smallest value? (a) l (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.276227 decades to centuries.\nAnswer: 0.9276227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -49. What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-45) + (-47)\/(-9). Let t be -1 + 2 + (6 - v). Suppose -7 = -3*j + t. Solve -3*n + 1 = -4*d + 6, 10 = -d - j*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n + 16 - 109 = 0. Suppose w + 3*w - 24 = 0. Suppose 33 = w*p - n*p. Solve -2*h - p = 3*x, 3*x + 2 + 3 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 t when three letters picked without replacement from yputy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(45\/10))\/(8\/12). Let u = 3.3 - 3. What is the third smallest value in u, 10\/7, o?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 239 or -1002?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-4\/7))\/(g**4*g))\/(g\/g**(-1\/3)*g*g*g**(-1)) assuming g is positive.\nAnswer: g**(-145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7400\/33 - -224. Let o = 145\/22 - c. Let y = 4361\/270 + -158\/27. Calculate the common denominator of y and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640175 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) 529 (c) -0.28 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12445*a + 12522*a + 693 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 581, 2316, 5207, 9254, 14457?\n\"Answer: 578*v**2 + v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9533.\nAnswer: 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**2 - 20*a**2 + 5*a**2.\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 + 7*a**2 - 7*a + 28. Let k(q) = -2*q**3 - 4*q**2 + 4*q - 14. Let n(r) = -3*d(r) - 5*k(r). What is n(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -303, 0.06, -5 in decreasing order.\nAnswer: 0.06, -5, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**4 - 5*b**3 + 5*b + 7. Let o(z) = -2*z**4 + 3*z**3 - 3*z - 4. Let k(f) = -5*o(f) - 3*w(f). What is the derivative of k(c) wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.6 + 15. Let u = -138 - -141. What is the fourth biggest value in u, 0.5, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) + 13\/3. What is the greatest common factor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1)\/(-12)) + 6\/24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15047803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11786 divided by 28154?\nAnswer: -5893\/14077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:03 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -16\/3*j**2 + 16\/3*j**4 + 0 + 28\/3*j**3 - 16\/3*j - 4*j**5 = 0?\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 40.1. Let w = -3 + 3.1. Let l = 6 + -11. Which is the second biggest value? (a) l (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3193.5 - -3192. Which is the second smallest value? (a) u (b) -0.2 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 12*i + 30. Let r be j(11). What is the greatest common factor of 574 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-65)*(1411\/136 - (-11)\/(-1)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 2*b**2 + 35 + 74.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 - 16551*m\/5 - 821814.\nAnswer: 3*(m - 5755)*(m + 238)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + 56781*l + 215 - 109.\nAnswer: 56781*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/((-550)\/(-250))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1849897*h**4*i + 5*h**3*i**3 - 1141*i**3 + 21450*i wrt h?\nAnswer: -7399588*h**3*i + 15*h**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 546*h**2 + 2. Let d(p) = -15255*p**2. Determine g(d(m)).\nAnswer: 127062403650*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emb when three letters picked without replacement from {b: 2, c: 1, v: 2, m: 1, e: 1, y: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 - ((-1050)\/(-18))\/(-7)*141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -5*p + 2*u - 12, 4*p - 40 = 4*u. Let w(x) = 96*x + 58. What are the prime factors of w(p)?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-8))\/(2\/(-296)). Let p = o + -26. Put 2, p, 4 in ascending order.\nAnswer: 2, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:17 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 332988074 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 213*z - 438.\nAnswer: 3*(z - 73)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*24\/16*5\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.24 - -2.8. Let k = f + -0.04. Sort k, 2\/5, -0.5 in decreasing order.\nAnswer: k, 2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6573374*j**3 + 16066496*j**2?\nAnswer: 39440244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 856, -4, 7, 5, 4 in increasing order.\nAnswer: -4, 4, 5, 7, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299.63619 months to centuries.\nAnswer: 0.249696825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2422\/2595*(-60)\/(-64)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - (4 - 12)) - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22*f**2 + 8. Let n(l) = 22*l**2 - 6. Let w(v) = 4*n(v) + 3*t(v). Let c(m) = 6*m**2. Calculate c(w(a)).\nAnswer: 2904*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.1 + -25.4. Let k = 11 - 14.4. Let g = k - -3.4. Which is the smallest value? (a) g (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-17 - -9 - -2 - (-6 - -1))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + v)*(-42 + 196 + 59)*(4*v**2 - 4*v**2 - v**2 + (0 + 2*v + 0)*(-v + 4*v - 2*v) - v**2 + v**2 + 3*v**2).\nAnswer: 852*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -798 (base 14) in base 3?\nAnswer: -2001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-12 - -7 - 0) + 50 - (23 + -14)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1666 - -3331\/2. Put 2\/3, 4, i, -52 in descending order.\nAnswer: 4, 2\/3, i, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 + v**2 + 2 + 6*v - 2*v + 3*v**3 - 3*v**2. Let b be s(-3). Let m(d) = -7*d**2 - 2*d - 1. Determine m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.02 - 0.02. Let s = -3\/11435 + 114377\/102915. Sort -0.2, l, s in decreasing order.\nAnswer: l, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 15 (b) 218.7 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 18 + -22 + 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 4*p - 2 - 3 + 67*p**2 + 6.\nAnswer: 67*p**2 - 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 2*z**3 - 4*z**3 + (-3 + 4 + 0)*(2*z**3 + 0 + 0) + 3 - 3 - z**3 + (4 - 4 - 2*z)*(-700*z - 8*z**2 + 700*z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19198b (base 14) to base 13.\nAnswer: -251380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*p = -734, p = -3*s - 330 - 403. Let b be s - (4 + -6 + 1). Let j = b + 405. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36462 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/8)*((-441)\/42)\/(-3 - -1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 51*m**3 + 8*m + 8. Let l(c) = -34*c**3 - 5*c - 5. Calculate 5*b(g) + 8*l(g).\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 553890174?\nAnswer: 1661670522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36393 or -38921?\nAnswer: -36393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480038990.\nAnswer: 2, 5, 19, 2526521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v**(-1\/2)*v)*v\/v**(-1) assuming v is positive.\nAnswer: v**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 15. Suppose -4*q + u*q = -60. Solve -4*f = q + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f - 9. Let t be 14\/22 + 604\/1661. Give c(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c + 3445 = 36*c. Let s = 390 + c. What is s rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -94*z - 357. Let d be k(-13). Let q = d - 4323\/5. Is -226 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by -4\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8694 - 2?\nAnswer: 8692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 9 - 1. Suppose 3*r = -a, -t*r = -r. Differentiate 3*w + a*w - 2*w - 2 with respect to w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702170 is divided by 1385?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b = f - 6, -5*f = -2*b - 23. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1879203, -1879194, -1879185?\nAnswer: -1879176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = -3*d - x, 4*x + 4 = 0. Suppose -d*c = -g + 4*g - 11, 23 = -4*c + 3*g. Let w = 1 - c. What is the remainder when 10 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 27. Solve -i = 9 - d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 10) + 31 + -27 - 9 - -51.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -6*t + t + 12 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, l: 2, f: 8, v: 1}. What is prob of sequence vvfv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561663568?\nAnswer: 2, 2383, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h + 44*h - 27*h + 5*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 159*j**2 - 600*j + 588.\nAnswer: -3*(j - 49)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18577 < 37151\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21315*h**2 - 42637*h**2 + 21321*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6386 (base 9) in base 16?\nAnswer: -1257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + h + 15798 = -204, h = 2*o - 8002. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6311509132 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -6*p**2\/11 + 160*p\/11 + 54\/11 = 0.\nAnswer: -1\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = -2*z. Let f(u) = -u**3 + 12*u**2 + 6*u + 5. Let c be f(12). Let i = c - 75. Solve 6 = -2*y + 6*y - n, z = 5*y - i*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 9.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -7*l + 392. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/154*-651 - 89\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -454.\nAnswer: -13\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b**3 + 17*b**2 - 17*b**2 - 18*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -9\/2*a**2 + 4 + 0*a. Let o(v) = 2*v. Calculate o(y(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 94\/188*(2 - (2 + 0)). Let c = 169 + -841\/5. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 23*g - 3. Let s be m(-11). Let o = s + -55. Are o and -183\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t - 61. Let j be c(7). Is (j\/12)\/(8\/1146) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and -2 - (6 + -12) - -29?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/995644095 or 1?\nAnswer: -2\/995644095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 8*z = -z. Suppose -14*p + 22*p - 152 = z. What is the greatest common factor of p and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 15*u**2\/2 - u - 3. Is b(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4620 = 42*r - 22*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2. Let c(f) = -f**2. Let g(r) = 4*c(r) + w(r). Let u(v) = 15*v + 55. Let b(n) = -n - 4. Let d(m) = -55*b(m) - 4*u(m). Calculate d(g(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2723 (base 11) in base 10?\nAnswer: -3534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20878, -21185, -21492, -21799?\nAnswer: -22106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -23. Let m = -84 + 167\/2. What is the second smallest value in m, 0.1, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**4\/12 + h**2. Let r(u) be the first derivative of u**2 + 184. Calculate p(r(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - (-3)\/(-6). Suppose 4*b + n*b = 12. Suppose 8*w**3 + 9*w**2 + 2*w + 0*w**4 + 4*w**b + 5*w**4 + 0*w**4 = 0. What is w?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31864719*r*v**3 - 2*r*v**2 + 53517442*r*v wrt v?\nAnswer: 191188314*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 10*v**2 + 10*v - 6. Let h be b(9). Solve 0*m - 2*m - 9 = 3*u, 0 = -h*u - 5*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21434.\nAnswer: 2, 7, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-12)\/78 + (-379)\/(-13) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -19*j**5\/12 - 37*j**2 - j. Let h(c) = c. What is h(z(i))?\nAnswer: -95*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 + 413*j**2 - 2134*j - 1712. Give d(77).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 + -169. Is 1\/4 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -20. Suppose -a*l = -38 + 10. Find the second derivative of 5*p + l*p**4 - 10*p + 0*p - p wrt p.\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p = -52*p + 12. Let l(b) be the third derivative of -1\/80*b**6 + 1\/140*b**7 - 1\/40*b**5 + 5*b**2 + 0*b**3 + 0*b + 1\/16*b**p + 0. Solve l(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/9876 and -53\/246672.\nAnswer: 203011056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2510 + 581. Is p\/(-18) - 6\/36 - -1 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -1*(sqrt(119)*-1 - sqrt(119) - sqrt(119)))\/sqrt(7) + (sqrt(34)\/sqrt(2) + -1 - (-1*sqrt(272))**2).\nAnswer: -273 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39698? (a) -0.1 (b) -3 (c) -1.1 (d) 4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + o**2 - 5 + 4 to the form t*o**2 + u*o + f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 5*h - 25, -h + 4*h - 2*w - 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13838297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 21, -1, -11, 3, 53?\n\"Answer: 2*j**3 - 12*j**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 + -0.1. What is the third biggest value in -2\/5, 0.5, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3866*h + 1387*h - 578*h - 2963*h to the form k + z*h and give z.\nAnswer: -6020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 7) to base 8.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -4, 10 in ascending order.\nAnswer: -4, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 68*i + 133. Give d(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22625414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 29 = -19. Let n be (-321)\/306 - -1 - 4\/o. Which is the smallest value? (a) -3 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270890 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -5*l**3\/6 + 27*l**2 - 481*l + 2. What is h(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-530)\/(-3180) + (-7241)\/(-546).\nAnswer: 94\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*v + 0 + 0)*(2 - 2 - 1) - 13*v - 44*v + 6*v)*(-5 + 5 + 3)*(-v - v + 3*v)*(-2 + 0 + 4) in the form o*v + m + r*v**2 and give r.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 1. Let d(b) = 9*b + 3. Let w(i) = -66*a(i) - 6*d(i). What are the prime factors of w(16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2 and 10\/123?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*n + 4*d = -59*n - 45*n + 20, 0 = n + 18*d - 35 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, 473, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 3a?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 + 5*c**2 + 6*c = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**2*x**4 - 7903*p**2*x**3 - p**2*x**2 + 8521*p**2*x - x**2 wrt x?\nAnswer: -120*p**2*x - 47418*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpww when four letters picked without replacement from {w: 7, p: 9}.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 696 + -261. Suppose -4*y = 35 - h. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*j**2 - 499*j**2 + 370*j**2.\nAnswer: -570*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145934.\nAnswer: 2, 3, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**8\/10080 - 19*p**7\/2520 + 7*p**6\/60 - 4*p**5\/15 + 143*p**2 + p. Let a(v) be the third derivative of w(v). Solve a(i) = 0.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 8*j**2 - 16*j + 131. Let f be u(8). Let t be (0 + -24)*3\/(-4). Let g be (t\/63 + 74\/(-14))\/f. What is the biggest value in 4\/7, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/21)\/(1*(-180)\/(-315)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20880756*t**4 - 796622*t + 6.\nAnswer: -250569072*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 8*t - 8. Let c be o(6). Suppose -4*u = -c, 0*s = 4*s + u - 29. Calculate the lowest common multiple of 5 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13768033 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4574 divided by 431.\nAnswer: 4574\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106a7 - -2?\nAnswer: 106a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189b48 (base 14) to base 13.\nAnswer: 246c22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Let s = 2822\/15 + -188. What is the closest to s in 2, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 4*l**2 - 6*l - 2. Let u be b(-5). Suppose 0 = -3*r - 4*i - 3, 5*r + 4*i + 1 = 4. Let q = u - r. Solve 4*v + 3*h = 14, -h + q - 2 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f**3\/f))\/f*f*f**(-6))**10 assuming f is positive.\nAnswer: f**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*r - 988 = -285*r + 4*a + 1238, 2*r - r + 13 = -2*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 4*i + f, -f = 5*i + 15 - 191. Let x be (-15)\/2*48\/i. Is 16 a factor of (-5)\/(x\/42) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7029366*o**3 - 367*o + 2834 wrt o?\nAnswer: -42176196*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 15*q + 3663 = 4*y, 5*y = 2*q + 4554. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1606 and 1.7.\nAnswer: -2730.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k - 34 - 46 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 846827 and 2778?\nAnswer: 5080962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/19 - 178*f**2\/19 - 348*f\/19 = 0. Calculate f.\nAnswer: -87, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94572 and 27639?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 101*s**3 + 1 - 108*s**3 wrt s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Suppose -7 - m = -4*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 12*o**2 - 11*o + 5. Let d be j(-11). Solve d*y = 4*r + r - 5, 3*y = -r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10132 + 10?\nAnswer: 10142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 339*j + 30611. What is c(-97)?\nAnswer: -2272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 573710, 1147565, 1721420, 2295275, 2869130?\n\"Answer: 573855*s - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 + -2.09. Let t = -4.5 - 1.2. Let w = -5.6 - t. Which is the closest to w? (a) d (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4853*w - 228029. Calculate i(47).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Suppose -2*r - 7 + 73 = 5*b, -b = 3*r - 21. Calculate the lowest common multiple of b and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/11)\/(9 + -10). Which is the nearest to -1\/4? (a) s (b) 2\/13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 323 or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flzcllczcclcmz. Give prob of sequence lcl.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:55 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299 + -299.000915. Round a to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4018, 597, -1, 3 in ascending order.\nAnswer: -1, 3, 597, 4018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*l**3*u*z - 3921*l**2*z - l*u - 4635*l - 2*z + 3 wrt l.\nAnswer: -222*l*u*z - 7842*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**5 - 55645*z**4 - 146015330*z**3 + 49480548950*z**2 - 1035271892105*z + 5596006298135 = 0. What is z?\nAnswer: -5717, 11, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11480 and 190568.\nAnswer: 952840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3785169?\nAnswer: 3, 17, 74219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 9. Let u(c) = -c - 9. Let o(m) = -2*q(m) - 3*u(m). Let f be o(-11). Is 21*f\/(12\/(-26)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5934529 and 73.\nAnswer: 433220617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 1113 = -38*i + 977, 0*i + 4*i - v - 220 = 0 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 147.2. Let j be 1*15*(-6 + 7). Let n = j - 46\/3. What is the third biggest value in k, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-380))\/((-12)\/(-20))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.75 + 0.25. Let b = j + -237. Let a = -200.793 - b. Round a to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 162.5, -5\/3 in decreasing order.\nAnswer: 162.5, 5, 3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-3\/8)\/d))\/(d**(1\/6)*d))\/(d**10\/((d*d**(-4))\/d)) assuming d is positive.\nAnswer: d**(-307\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o. Suppose 2*m + 22 = -3*x - 0*x, 4*m - x + 16 = 0. Let q = 1 + m. Calculate the remainder when s(q) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8062.007 millennia in months?\nAnswer: 96744084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*s - 13. Let g(d) be the first derivative of 0*d + 1\/2*d**s - 6. Let i(w) = -3*w. What is i(g(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28 - -9) + 6\/2. Suppose 0 = 39*a - 35*a - t. What is the highest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.3. Let q be (464\/(-696) - 500\/33) + 16. Which is the third smallest value? (a) 14 (b) q (c) -0.4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2702\/15 + -180. Let d = 1876379\/308 - 42907\/7. Let w = -149\/4 - d. What is the closest to 1 in 1\/2, w, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015092 rounded to seven decimal places?\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2232 divided by -6.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 5, c: 5}. What is prob of sequence pcc?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 2*o + 0*o)*(0*o + 2*o + 2*o)*(5*o**2 + 2*o**2 - o**2) - 78*o**4 + 95*o**4 + 209*o**4 to i*o**3 + c + x*o**2 + j*o**4 + l*o and give j.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860.446um to nanometers.\nAnswer: 860446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236*j**3*t**3 - 5838*j**3*t**2 - 2*j*t**3 - 2*t**3 wrt t?\nAnswer: 1416*j**3 - 12*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.93272376 rounded to 4 dps?\nAnswer: 1.9327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 504, 784, 1064, 1344, 1624?\nAnswer: 1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/(10\/(-20)). Suppose y*v + a - 133 = -38, 0 = v - 4*a - 10. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88.4 - 97. Let k = u - -8.6. What is the closest to 2 in 0.5, k, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -2*j**4\/3 - 2*j**3\/3 - j**2\/4 + 318*j. What is d in v(d) = 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167668 - -4?\nAnswer: 167672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - 0*o. Let r = 14 - o. Let q(u) = -u**2 - 11*u + 2. Calculate the lowest common multiple of r and q(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -17. Let v(l) = -b*l + 0*l - 2*l - l. What is v(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -34. Let c = b - -50. Let f be (-32)\/(-48) + 250\/3. What is the greatest common divisor of c and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.73328 - -0.52215. What is h rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -821 - -828. Sort -4, g, -5 in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -42*a**2. Let w(x) = -989*x - 30 + 2001*x - 1010*x. Give m(w(t)).\nAnswer: -168*t**2 + 5040*t - 37800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + (0 + 0 + sqrt(175))**2 + sqrt(175) + (sqrt(175) - (-4*(sqrt(175) + -3) + sqrt(175)))**2 + (-2*sqrt(175)*6*5)**2 + -1.\nAnswer: -470*sqrt(7) + 633118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a. Let n(z) = 17*z**2 - 45*z + 59. Let r(j) = 3*j**2 - 9*j + 12. Let i(h) = 2*n(h) - 11*r(h). Let q be i(-10). Calculate f(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - -5) + (-6 - ((-17 - -29) + -12))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 10 = -54. Let v = u + 90. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -238, -329, -384, -391, -338?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*s**3 - 1 + (-3*s + 6*s - 4*s)*(0*s**2 + 2*s**2 + 0*s**2) - 5*s**2 + 2*s**3 - 2*s + 6*s**2 - 6*s**3.\nAnswer: -8*s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n - 380 + 557 + 1044 = 0 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 94.14796 millimeters?\nAnswer: 9.414796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2. Let s(y) = -55*y + 330. Let v be s(6). Let j(u) be the second derivative of 0*u**2 - 8*u - 1\/6*u**4 + 0*u**3 + v. Give j(o(m)).\nAnswer: -72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 32. What is t(-16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 36, 4*k - 713*m + 21 = -714*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1311 and 31042941?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 219*k + 211*k - 432*k as y*k + d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 29*p + 1. Let o(g) = 390*g. Let h(m) = 1651*m. Let n(w) = -4*h(w) + 17*o(w). Calculate t(n(l)).\nAnswer: 754*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 45 = 9*o. What is the second derivative of -115*t**5 - 4*t + 48*t**o + 53*t**5 wrt t?\nAnswer: -280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-32) + (-10)\/(-5)*2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21450 and 204900?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 54 - -74 - ((-3 - 1) + 26)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -607.43041 rounded to two dps?\nAnswer: -607.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4588319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m. Let d(b) = 16. Let a(l) = 3. Let v(x) = -11*a(x) + 2*d(x). Let n(t) = t**3 - 9*t**2 + 7*t + 6. Let w be n(8). Determine w*v(k) + o(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*v - 26*v - 24 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -360 - -513. Let b = y + -153. Let f = -6 + 4. Sort b, f, 5.\nAnswer: f, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 + 68 = -3*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122245 is divided by 122238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2. Let o(i) = -118638183*i**2. What is o(s(r))?\nAnswer: -474552732*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881656626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23383593472 less than 6?\nAnswer: 23383593478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545218 is divided by 3411?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -162016 divided by -1328\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.8 + 2.8. Let c = -13.1 - y. Let m = 553\/6 + -92. What is the closest to 0 in -1, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 + 16*f - 6. Let p(v) = 21*v**2 + 49*v - 17. What is 6*p(j) - 17*w(j)?\nAnswer: 7*j**2 + 22*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/10 and ((-284)\/6)\/(22\/11*39).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 32 + 11*k to u + m*k and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 413467 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -5, 3, 27, 73?\n\"Answer: x**3 - x**2 - 6*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 991 divide 10973343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 12 = -4*p. Is p at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 - -15.25. Let q = -15 + m. What is the biggest value in -1, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + z - 2*s + 131846, 65927 = z + 3*s. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 226822309\nAnswer: -113411154.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 952?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 73*f**3 - 4*f**2 - 6*f + 12. Let s be t(6). Suppose 16*n + s = 12*n. Round n to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 2. Let z be j(2). Let f = z - -26. Suppose f = 2*y - 2. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2195 = 9*n - 2132 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 1330611*f\/2 + 1770525633321\/4.\nAnswer: (f - 1330611)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from ririiiiiiiririiiii?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 108 = -7*k. What is the remainder when 274 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13890.\nAnswer: 2, 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66117.\nAnswer: 3, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -593*v + 1419. What is the tens digit of n(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(12 + (-645)\/54*1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-276)\/24)\/(7\/(-2590))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -22005\/3413 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2736 and 31\/4104?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(1*1\/7). Let g = -73 - m. Is g < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/20527 and 34\/7?\nAnswer: 143689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1d0f89 (base 16) to base 13\nAnswer: -518b48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 5. Let v(h) = h**3 - 5*h**2 + 4*h. Let a be v(3). Let b(r) = 2*r + 6. Let w(z) = a*o(z) + 5*b(z). Let x(d) = 2*d. What is x(w(p))?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-2) - (102 + -117))*214\/(-3).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268027 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25ca8c (base 13) to base 16.\nAnswer: -df099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41048907 and -1.8?\nAnswer: 41048908.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 - 3 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.46 in -33, -9\/4, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + 3.4. Let u = 9 + -14. What is the second biggest value in u, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {x: 4, t: 3, d: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -137300?\nAnswer: 137305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.6 - 29.6. Let g = r + 24. Sort -3, -2, g, -5 in ascending order.\nAnswer: -5, -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 973 divided by 116\nAnswer: 973\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - z - 338 = 0, -3*z + 1352 = -838*x + 834*x. Suppose 4*c + 1593 = c. Let h = x - c. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 861.87+0.4\nAnswer: 862.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 9) to base 7\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (808*a - 44 + 482 - 801*a)*(a**2 - a**2 - 2*a**2)*(2*a + 2*a - 2 - 8*a) to the form l*a**4 + v*a**3 + j*a**2 + d*a + h and give j.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -32. Suppose -2*m = 2*t - 52, -55 = -2*t - 0*t - 5*m. Differentiate 13*y**2 - 19*y**2 - t + 3*y**h + 9*y**2 with respect to y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(21)\/(sqrt(12)\/sqrt(4)*3)*-3.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.03, 39, -1, 1, -2\/17, 0.03 in increasing order.\nAnswer: -1, -2\/17, 0.03, 1, 1.03, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/15431839 and 41\/3940044?\nAnswer: 185182068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(3\/6 + 0). Round s to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56185 + -171?\nAnswer: -56366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(2736) + -2 + sqrt(2736) + 4 + (sqrt(2736) + (6*(sqrt(2736) - 1*sqrt(2736)) + sqrt(2736) - sqrt(2736)))*-3 + -3 + 1)**2.\nAnswer: 288*sqrt(19) + 24640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -2729747228.\nAnswer: -2729747230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 = 5*x, -9*q + 6 = -2*x - 11*q. Let m(y) be the second derivative of x + y + 0*y**2 + 2\/3*y**3. Let f(r) = -7*r. Calculate f(m(l)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 225, 275, 341, 429, 545, 695, 885?\n\"Answer: t**3 + 2*t**2 + 37*t + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - -21. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 8476*t + 404635. Determine m(48).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -20. Let s = 18 - a. Let q(j) = -s*j + 2*j + 8*j - 5*j. Let n(u) = 34*u**2. What is q(n(p))?\nAnswer: 34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 37972?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -20792, 0 in descending order.\nAnswer: 1, 0, -3, -20792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5333424 (base 7) to base 14.\nAnswer: 12bb84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t*x**2 - 187*t + 17*x**3 wrt x.\nAnswer: 2*t*x + 51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 2*z**3 - z + (-6*z + 6*z - 5*z**2)*(-108 - z + 5 + 295) to the form i*z**2 + a*z**3 + j*z + k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r. Let x(m) = -4*m + 5. Let f(w) = 3*w - 4. Suppose -t = 2*a - 9, -3*a = 2*a - 3*t - 28. Let y(z) = a*f(z) + 4*x(z). Calculate g(y(p)).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27017360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-1424)\/(-12))*(-927)\/16. Let g = w + -6823. Find the common denominator of 59\/692 and g.\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(1\/9)))\/((((p\/(p*p**(-1)*p*p)*p)\/p)\/p)\/p*p*p)*(p\/((p*(p**(2\/11)\/p)\/p*p)\/p*p)*p)\/p**(7\/3) assuming p is positive.\nAnswer: p**(37\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7378 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*p + 170*p = -103*p - 7220 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -792036, -792049, -792064, -792081, -792100?\nAnswer: -792121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 + u**5 - 3*u**5 + 4*u**2 - 4*u**2 - 2*u**5 + (-2*u**2 + 2*u - 2*u)*(u**3 - 7*u**3 + u**3) + 2*u**5 - u**3 + u**3.\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, -4, 0.4, -509?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.5125 litres in millilitres?\nAnswer: 700512.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422404 by -2.\nAnswer: 211202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751278477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16540*o + 16540*o - 120 + o**3 - 2*o**3.\nAnswer: -o**3 - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d**21*(d*d*d*d**(-4)\/d)**3)**(-46) assuming d is positive.\nAnswer: d**(-552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 14. Let c(r) = -r**3 + 3*r**2 + 3*r + 4. Let k be c(h). Suppose 3*v + k*v = -z + 54, -2*z = 6. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 0. Let p(u) = u**3 + 3. Let j be p(o). Factor 3*w**3 + 18*w**2 + 5*w + 5*w**j + 0*w - w.\nAnswer: 2*w*(w + 2)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 14 + 6*c**3)*(-5 + 7 + 16 - 5)*(-1 + 8 + 1) to the form m*c**3 + s*c + b + u*c**2 and give m.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2164 + -226444?\nAnswer: -224250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00064512 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 751 times -2.8\nAnswer: -2102.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -1, -160 in descending order.\nAnswer: -1, -3, -18, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50032*q - 50441*q - 3272 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (5*2*sqrt(1008))**2 + 1 + 1.\nAnswer: 100796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = 12*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/46 and -13\/1095148?\nAnswer: 25188404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 93.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3415, -13622, -30625, -54424?\nAnswer: -85019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 2*p - 10 = 12*g, 3*g + 3*p + 12 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -912 divided by 228?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 22*x**2 - 6*x + 33. Let i(l) = l**3 - l**2 - l + 2. Let n(j) = -h(j) - i(j). Is 25 a factor of n(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 18 + 22*i)*(-3 + 3*i + 3) + i + 4*i**2 - 2*i**2 - 2*i - 2 as a + v*i + l*i**2 and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/47 in 1\/115, 4, -1\/2?\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - 0.032. Let m = 0.242 + z. Which is the closest to 2\/7? (a) 4 (b) -1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, b: 2, x: 3}. What is prob of picking 1 d, 1 b, and 1 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + t + 20 - 21, -4*t = -6*l + 62. Factor -1\/2*v**4 + 32*v - 24*v**2 + 6*v**l + 0.\nAnswer: -v*(v - 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 2*g**2 - 3*g**2 + 3*g**2. Let a(r) = 11*r**2 - r - 1. Let y(b) = -6*a(b) + 13*x(b). Calculate y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 2 (c) 2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33 - 77 + 37 + 20*f + 23*f wrt f?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*j + 27, 2*c + j = -j + 16. Suppose 9 + 20 = 4*p - 5*i, 5*p - c*i = 35. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 181*a - 1043. What is h(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwn when three letters picked without replacement from uavnw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-180)\/54*(-5)\/(25\/18). Solve 2*v - 16 = t - v, -2*v = -t - p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -323*c**6\/120 + c**5\/60 - 221*c**4\/24 + c**3\/3 + 4*c**2 - 59*c. What is the second derivative of v(b) wrt b?\nAnswer: -1938*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29776 and -3.\nAnswer: 89328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -65. Let n be (-10 + (-18)\/(-2))*(0 + -1). Let j be (-1 + -2 - -4) + n + 1. Solve -3*f + t = 4*g, 9*g - 4*g = 4*f + j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620103 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4018 is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -430439150*j**3 + 6*j + 4103511?\nAnswer: -2582634900*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 3715*y - 3710.\nAnswer: -5*(y + 1)*(y + 742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*q - 476*q = -76. Let 4\/7*f + 0 + 2\/7*f**q = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12809 = -3*c + 44495, 3*m - 42254 = -4*c. List the prime factors of c.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -43?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 393533*b + 8657719. Determine v(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69483763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, 1, -2.\nAnswer: -6, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -42*p**2 + 56*p**2 - 41*p**2 + p. Let v be i(1). Calculate the common denominator of (-4)\/v + 1405\/(-2795) and -38\/11.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6) - (-5)\/6. Let f(r) be the third derivative of p*r**3 + 0 + 1\/30*r**6 + 0*r + 0*r**5 + 0*r**4 - 3*r**2. Differentiate f(q) with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325118?\nAnswer: 2, 3, 37, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10807818 and 23324.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 91*a - 653. Calculate t(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 0, 0.513?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvv when three letters picked without replacement from vvvvvvvvvgvvv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8*r*(r\/(r**(4\/5)\/r*r))\/r*(r**(-1\/2)*r)**(-1\/43) assuming r is positive.\nAnswer: r**(3521\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92287\/170376*(-27)\/(-13)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/13 + 56*z**4\/13 + 5946*z**3\/13 + 46456*z**2\/13 - 64552*z\/13 - 105120\/13 = 0. Calculate z.\nAnswer: -36, -10, -1, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(3\/17)))\/k**41)\/(k**3)**29 assuming k is positive.\nAnswer: k**(-2173\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-753)\/((-180009)\/(-300000) + 27\/(-45)). Round c to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Let x = 163 - 140. What is the third derivative of x*f**2 - 2*f**6 + 52*f**3 - 52*f**g wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + (2 + sqrt(272)*-3 + sqrt(272) - sqrt(272)) + -4)*-1)**2.\nAnswer: 1512*sqrt(17) + 22473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 12*m + 30. Let i be c(10). Suppose 2*s = 3*w - 67, i = 5*w + 4*s - 87. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 609\/(-735) + 6\/14. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((132\/12)\/11)\/(-2203). Do t and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}