diff --git "a/data/dm_maths/full_data_1/10112_11255.jsonl" "b/data/dm_maths/full_data_1/10112_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10112_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-39 + 39 - 2*u)*(1 + 3 - 3)*(-3 - 1 + 3)*(7 + 0 - 1).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352347 and 21624.\nAnswer: 2539717176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -43*a + 29*a. Put 4, a, 0, 0.01 in decreasing order.\nAnswer: 4, 0.01, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l - 28. Let c be x(-9). Suppose -c*d + 5*d = 36. Let a be 6 + (1 + 2)\/d. Solve -2*w - 3 + a = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine quarters of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r**2 + 77*r - 77*r)*(-1 + 2 + 1) + (0*r + 3*r + 0*r)*(-1 + 2*r + 1) + 892 + 0*r + r - 770 + r**2 in the form g*r + u*r**2 + q and give q.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 156*n**2 + 3*n + 5. Suppose 16 = 5*g + c, -c + 1 = -2*g + 6. Suppose g*x + 2 = -4. Is o(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h - 129 + 37 = 104 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0. Let n = 33.66 - 34. Let k = n + 0.04. Which is the third smallest value? (a) 1 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - r + 3563. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*n - 14, -3*n - 13 = 5*w - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20)\/(-3)*(-6)\/(-4) is divided by ((-6)\/15)\/(4\/((-360)\/6)*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 30.3. Let j = -18 + 23. Which is the nearest to 0.1? (a) j (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-8776.916.\nAnswer: 614.38412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3854 - -0.1146. Sort -0.02, -2, k in descending order.\nAnswer: k, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (21\/10 + (-68)\/(-170)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1000 or -19047?\nAnswer: -1000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3, z: 1, m: 1, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -70602283.4 rounded to the nearest ten thousand?\nAnswer: -70600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-276 - -264 - ((3 - 2) + 2)) + -7 + 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 6*y**2 + 4 - 4.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*i - 592*i + 250*i + 1312 = 3273 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 43*b + 7*b**2 + 8*b**2 + 2*b**4 + 40*b + 1 to k*b + d*b**2 + t*b**4 + j + a*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-72)\/15)\/6)\/(4\/(-310)). Let u = -52 + w. Calculate the highest common factor of 70 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 119\/6426*5454.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*a + 4 + 2, 0 = -d - 5*a + 10. Suppose -3*m + 193 + 62 = d. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(30)\/sqrt(3))*5*3)\/(sqrt(320)*-1*5 - ((sqrt(320) + (sqrt(320) + 2*sqrt(320))*-4 - sqrt(320)) + sqrt(320))).\nAnswer: 5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.34, 1\/2 in decreasing order.\nAnswer: 1\/2, -0.34, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2. Let c(a) be the first derivative of -47*a**3\/3 - 1070. What is h(c(q))?\nAnswer: 6627*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-45)*35\/42*4\/(-12)*98.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/1472 and -111\/4048?\nAnswer: 16192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 3*b - 1. Let w be (-2 - -11)*(2\/3 + -1). Give a(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12001 - -1.12001. Let f = -8.14 - -0.14. Let o = f - -3. What is the nearest to -2\/5 in j, o, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.15959 and -19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38251 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z - 2*r, -r - 4 = -2*z - 5*r. Let n = 3.43 - -0.07. Let k = n + -0.5. What is the second smallest value in z, 0.2, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382336499 to the nearest integer?\nAnswer: 19553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 174\/414 + (-62)\/713\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 6*m + 12. Suppose 0 = 4*v + h + 2, 0 = -4*v - 0*h + 4*h + 8. Let b be n(v). Solve -4*x + 7*d = 3*d + b, -1 = -d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.849874 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.650117 days to weeks.\nAnswer: 8.235731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 55134?\nAnswer: 55123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2563.8 + -13.8. Let b = 2549.99998233 - z. Round b to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + -21?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.406072 in -5, 9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 524\/(-5796) + (-8)\/(-84). Let w = g + -626\/1035. Sort w, 4, 10.\nAnswer: w, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + 2\/((126\/35)\/9). What is the highest common factor of b and 3598?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 81 - (-91 + -29)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 24 = -0*w. Suppose 4*k - 16 = -4*a, 5*a - k = -4 - 0. Suppose a = -4*i + 12 - 0. What is the remainder when w is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + 3 + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -83 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/((845\/39)\/13*27\/(-60))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1833, 2, 60 in decreasing order.\nAnswer: 1833, 60, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 854663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3466240 and -29\/1120.\nAnswer: 24263680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 235408307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**5\/35 - 5*r**4\/28 - r**3\/21 + 5*r**2\/14 + 19. Factor y(z).\nAnswer: z*(z - 5)*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2663 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 18 + -35 - -1 - (1 - -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0*p**4 + 0*p**3 + 1\/6*p**6 + 0 - 1\/10*p**5 - p + 0*p**2 + 1\/6*p**7. Suppose g(n) = 0. What is n?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1447, -3771, -6969, -11041, -15987, -21807, -28501?\n\"Answer: -437*n**2 - 1013*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d + 2*f, 5 = d + 3*f - 10. What is the remainder when 11 is divided by ((-3)\/d)\/((-3)\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361434 (base 7) to base 9\nAnswer: 108626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 31. Give v(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - 43*h**2 - 26*h - 20. What is g(22)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/542? (a) -3\/2 (b) 2\/9 (c) 0.03 (d) -0.4 (e) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -146, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*q + 53 + 19, z - 29 = -q. Differentiate -91*y - 215 - z*y + 298 with respect to y.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 170 = -17*g. Let r be (-2 - 3) + (22 - g). Solve r = -2*x + 3*i - 5*i, -2 = -i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -33*p**4 + 197092*p**3 - 95327*p**2 - 1343628*p - 429984 = 0.\nAnswer: -24\/11, -1\/3, 3, 5972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p = -104*p - 100 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 76?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 2*p**2 + 268312 - 268750 - 115*p + 115*p.\nAnswer: 2*p**2 - 438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-7))\/((-3)\/(-2)). What is the closest to f in -3, -0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.46, -2, 1 in decreasing order.\nAnswer: 1, 0.46, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is bf (base 16) in base 6?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18617 - 18612. Put x, 3\/22, 0, -2\/33 in decreasing order.\nAnswer: x, 3\/22, 0, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -719649 or -719686?\nAnswer: -719649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1650 + -1659 + -3 + -2 + 65?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 24*p**2 + p**2 + 2*p**2 + p**2 - 6*p**2 + (4*p - 4*p - 2*p**2)*(0 - 1 + 0) + p**2 + 2*p**2 - p**2 in the form y*p**2 + d*p + c and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**3\/3 + 2*t**2 - 6*t + 3. Calculate the remainder when p(4) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 63*k**2 + 4802*k - 117423. Determine p(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77, 70, 49, 8, -59, -158, -295, -476?\n\"Answer: -p**3 - p**2 + 3*p + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:40 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -159*g + 98. Determine n(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-845))\/((-904)\/5876)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 9*i + 17. Let v = 15 - 8. Let l be b(v). Suppose -323 = -l*w + 4*r, 673 = 5*w - 3*r + 153. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -10. What is the remainder when (24 - 8) + (-2 - d) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.14 + 18.86. Let l be -2 - ((-1 - -1) + 17 + -22). What is the nearest to 0.1 in x, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581192.\nAnswer: 2, 3, 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 16*g - 14*g = 54, 2*g + 90 = 4*k. Solve k*m = 7*m - 85 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqhsqqsqhggsoggq. Give prob of picking 1 q, 1 s, and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 - ((2 - -3 - -19) + 54)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3 + 54436*i**2 - 381126*i + 653400 = 0.\nAnswer: -27225, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 2. Suppose p*q = 3*q. Suppose -27 = -3*u + 3*t, u - 3 = 4*t + 18. Solve -2*w + u*w = q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116380*b + 185 = 5*i + 116382*b, 8*b = 4*i + 620 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 0*j + j)*(-33*j**2 + 60*j**2 - 74*j**2 - 8*j**3) to d*j**3 + v + b*j**2 + f*j + r*j**4 and give d.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1503)\/(-4008))\/(30\/(-4)*1\/(-10)). What is the second biggest value in -2\/13, w, 184?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 249, 1496, 4525, 10116, 19049, 32104, 50061?\n\"Answer: 130*m**3 + 111*m**2 + 4*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 104818*j**2 - 52450*j**2 - 52407*j**2.\nAnswer: -39*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znn when three letters picked without replacement from zllzzllzznlzlznnnzz?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 120.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0*l**5 + 0*l**3 + 0 + 9\/40*l**6 + 43\/8*l**4 + 9*l - 3*l**2 - 1\/210*l**7. What is the second derivative of r(t) wrt t?\nAnswer: -12*t**2 + 162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(4\/3)*p)\/p)\/(p*p**(-16\/5)*p))\/((p*p\/p**(12\/7))\/p**(-1\/4)) assuming p is positive.\nAnswer: p**(839\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 4\/5 (c) 686 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*m - 0*b + 907, -3*m + 676 = 5*b. Let q = 650 + m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:55 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.46 - 0.5. Let z = -0.02 - c. Let a = 4.02 - z. What is the biggest value in a, -3, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*l**3 + 170295*l**2 + 419149917*l?\nAnswer: -1044*l + 340590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 1\/3, -383\/3, -1, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**5 - 4*a**5 + a**5)*(-1 - 14 - 5) + (0*a**3 + 3*a**4 - 2*a**4 + a**3)*(-14*a + 23*a + 18*a).\nAnswer: 47*a**5 + 27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -5. What is the remainder when 127\/3 - (-30)\/45 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -830089 and -830089 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264719 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1)\/(1\/(-2)). Let g(x) = 2*x**3 + 3*x**2 - 7*x**q + 3 + 0*x**2 - 2. Let n(w) = -5*w**3 + 9*w**2 - 2. Calculate -9*g(b) - 4*n(b).\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90, -96, -102, -108?\n\"Answer: -6*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*u = -711 - 1399, 0 = -4*f + 5*u + 8385. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669688546.\nAnswer: 2, 3727, 223999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -966848*d**2 + 97*d**4 - d**3 + 966848*d**2 - 16*d as b*d**4 + u*d**2 + o*d**3 + v + z*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 49 = -s - 35, -4*j + 421 = -5*s. Let t = 60 - 94. Let r be (8\/(-10))\/(t\/s). Sort r, 4, -4 in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 + 222 = -4*t, 2*r = 4*t - 168. What is the closest to -0.1 in r, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhzzcss. What is prob of sequence hsz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257091, -257092, -257093?\nAnswer: -257094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3642 = 15*l + 42. Let n(k) = 240 - l - k**2. Let t(w) = 11*w + 3. Calculate n(t(u)).\nAnswer: -121*u**2 - 66*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9100 by -65.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1825*l + 0*l**2 - 4*l**4 - 1822*l + 3*l**2 - l**3 in the form w*l**4 + y*l**3 + o*l**2 + z + s*l and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sbbsbsbsssbbbbsbbss.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 327679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 585701943 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4 = 2*m - 6, m + 2 = -5*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/4 + (-15)\/10. Let b = 33 + -45. Let l be 39\/k - (-3)\/b. Solve -i = -0*o - l*o - 16, -3*o - i = 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/3)*t**0)\/(((t\/(t**(2\/7)*t))\/t)\/(t**7*t)) assuming t is positive.\nAnswer: t**(230\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 4. Let q be (-60156)\/(-24508) + (0 - 3). Which is greater: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.501 or 86146?\nAnswer: -0.501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 417, 611, 805, 999?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190035, -760202, -1710481, -3040872?\nAnswer: -4751375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 22054032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1382 + 1220. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*k + 100*k - 42 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -9 + -14 - 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 6*v + 2*l - 22, 4*v - 3*l - 18 = 0. Let x(p) = p**3 - 3*p**2 - 3*p + 2. Calculate the smallest common multiple of v and x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-35)*(-14)\/6. Let r(m) be the third derivative of 0*m - 1\/15*m**5 + 0*m**3 - 4*m**q + 0 - 1\/8*m**4. What is the second derivative of r(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(147\/(-105) - (-2)\/5). Which is the nearest to k? (a) 3 (b) 0 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(4)*-1)\/(sqrt(2)*2*1)*-3.\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 381.11988 to two dps.\nAnswer: 381.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-4048893)\/15513.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9. Suppose 7*o + u*o - 469 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16296 and 53544.\nAnswer: 374808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g - 9. Suppose 0*f + 27 = -g*f. Let v = 14 + f. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 94 + 106. Let q(l) be the third derivative of 0*l**x + 0*l + 1\/420*l**6 + 0 - 5*l**2 + 0*l**3 + 0*l**5. Factor q(y).\nAnswer: 2*y**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (177250 - 1)\/((1 + 6)\/413). Let v = o - 15387691. What is v rounded to the nearest one hundred thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/14283, 1\/211, -0.11, -0.3 in descending order.\nAnswer: 1\/211, 2\/14283, -0.11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4560 - -3624. Which is bigger: v or -938?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2 + 66*v - 405 = 0.\nAnswer: -27, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.105 - -0.035. Which is the third biggest value? (a) -0.06 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26608 is divided by 99?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, v: 8}. What is prob of sequence oo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - 2.95. Let d be (-10)\/(-68)*(-380)\/475. Sort g, 3, 6, d in decreasing order.\nAnswer: 6, 3, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*1*sqrt(19) + 0 + sqrt(1900)))**2.\nAnswer: 20691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + y - 5. Let f be p(0). Let z = 25.059 - 24.859. What is the smallest value in 1, z, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024773773 rounded to 4 decimal places?\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 + 56. Let s = y + -150.9. Which is the second smallest value? (a) s (b) -0.1 (c) 0.08 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 b when three letters picked without replacement from lbbbbbbblbll?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-817*i**3 - 181*i**3 + 419*i**3)*(-2 - 5 + 2)*(-i + 3*i + 0*i).\nAnswer: 5790*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*a - 16, -4*a + 5*a + 12 = 2*i. Let b be (8\/i)\/((-26)\/7345). Let g = -317 - b. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -19345, 0.1.\nAnswer: -19345, -0.2, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12052 + -0.0663917?\nAnswer: -12052.0663917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 379. Let u = 691 + v. Is u a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -27, -84, -169, -282?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559130 divided by 10.\nAnswer: 55913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l = f - 1130, 16 = 4*f. Which is the third smallest value? (a) 0.2 (b) -5 (c) -3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.90127*0.05\nAnswer: -0.0450635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/117 and -1\/24?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 14. Let g = a - -12. Suppose 3*v = g*v - 44. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 457.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7106393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from vlpjjjvjvlvjjjylyjj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (814\/(-44))\/((0 - -2)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230586 and 34194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 + 9*u**3 + 253*u wrt u.\nAnswer: -12*u**2 + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23670.\nAnswer: 2, 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qacv when four letters picked without replacement from avqcqvvcqvcyccq.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1386.12322 + 1386. What is p rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + (84 + -158 - (-16 + (-6 - -7))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 10. Let n be x(0). Let j = n - 13. Is 1\/j + (-576)\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3246078 is divided by 1082021.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 252 = -b + 124, 3*b = m + 1170. List the prime factors of b.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 117*f - 119*f = -4, -4*z = -f - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -2, -8, 4, 1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/111 in 3\/4, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.1 (b) -2 (c) 2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2562126273?\nAnswer: 3, 7, 40668671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164*p**2 - 19768*p + 19768*p)*(-4*p**2 + 2*p**2 - 5*p**2).\nAnswer: 1148*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q**3 - 14*q**2 - 38*q - 10. Let j(v) = -50*v**3 + 69*v**2 + 190*v + 49. Let t(r) = 11*f(r) + 2*j(r). Determine b so that t(b) = 0.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-12502)\/(-3290) - (-26)\/(-70))?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t - 0. Let z(b) = 9 - 11*b**2 - 4*b**2 + 16*b**t + 0*b - 9*b. Let n(p) = 4*p - 4. Let w(x) = 9*n(x) + 4*z(x). Let f(s) = s. What is f(w(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130 (base 5) to base 7.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - 16.1. Let v = 17.79846 + c. Round v to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 - 224*u**4 + 2910*u**3 = 0. What is u?\nAnswer: 0, 15, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/(5 + (-54)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -261099\/4 or -65275?\nAnswer: -65275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 670, 0.4, 2\/9 in decreasing order.\nAnswer: 670, 0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f. Let i(w) = w - 1. Let o = -16 - -17. Suppose 0 = -q + l + 4, -5*q - l = -7 - 1. Let n(a) = 5*a + 2. Let j(s) = o*n(s) + q*i(s). Give j(k(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200873595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + m**4 - 3*m**4 + 3 + (m - m - m)*(-2*m**3 - m**2 + m**2).\nAnswer: m**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 257, 379, 499, 617, 733?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465983678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snl when three letters picked without replacement from {s: 1, q: 9, n: 5, l: 5}?\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*35\/90)\/1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1147 - 1?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l + 46 = 29 - 82 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 k when three letters picked without replacement from kkkxxkxkkkkk?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-63) + 7922\/59619. Do 0 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 144\/371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, k: 5, q: 3}. Give prob of picking 2 k and 2 q.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-2)\/(-10) - 12\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 336, 671, 1006, 1341?\n\"Answer: 335*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -63*b**3 - b**2. Let c be k(-1). Suppose c = -2*u - 26. Let r = -28 - u. Calculate the remainder when 31 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 35 = -2*x. Suppose -x*c + 813 = -562. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*y. Suppose -y*b - 2*b = -b. Suppose -3*o + 219 + 69 = b. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 89 = -41 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 931 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -44*f**2 + 9722*f - 109935. What is k(209)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 538061\/147 at most as big as 3660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*p - 9*p + 8*p)*(-2 + 2 - 2*p) + 4918*p**2 - 9943*p**2 + 7737*p**2 as h + w*p**2 + k*p and give w.\nAnswer: 2728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6978 and 133745?\nAnswer: 802470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*a + 1222 = 131*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w**(-3\/5)\/w))*w*w\/w**(-1\/7))**(-10\/9)\/((w*w**(-3)*w**(-1\/5)\/w)\/((w*w**(-4)*w)\/w*w\/w**(-3\/2))) assuming w is positive.\nAnswer: w**(69\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(136)*2 + sqrt(136)))\/(sqrt(48)\/(sqrt(18)\/sqrt(3))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 8*x**2 - 6*x + 10. Let m be w(-7). Let q(o) = 1 - 4 + 1 + 8*o. Is 6 a factor of q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 1, 2, -3 in ascending order.\nAnswer: -3, 1, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 3 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38077446 divided by -43?\nAnswer: -885522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4940*h + 731. What is the thousands digit of i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-39)\/27*-1. Is 2 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.77 and -9.4963566.\nAnswer: -8.7263566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 28*z**2 + 24*z + 7. Let s be o(13). Let t(k) = -s*k + 5051*k - k**2. Let h(y) = 6*y + 0 + 0. Calculate h(t(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 190 = -155. Let n = 272 - y. Let r = n - 6698\/33. Is r bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 72. Calculate the highest common factor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(-11))\/f)\/f)\/f*f*f**(-9\/5)*(f*f\/f**5*f)**(-2\/29) assuming f is positive.\nAnswer: f**(-1836\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s = -3*k - 29, -k = 2*s - 97 + 98 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2\/17 (b) -0.2 (c) 1\/5 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*(-30 + 0)*4173\/(-1926).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(24)\/sqrt(4)) + sqrt(504)*-2)*2)\/(sqrt(2) - (sqrt(12) - sqrt(72)\/sqrt(6))\/sqrt(6) - sqrt(2) - sqrt(10)\/(sqrt(10)\/sqrt(2))).\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**5 + u**2 - u + 1. Let d(n) = -76*n**5 + 43*n**2 - 5*n + 5. Let b(q) = -d(q) + 5*g(q). Find the third derivative of b(p) wrt p.\nAnswer: 4260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29401913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/((-1026)\/95).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19652557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49404453 times -5?\nAnswer: 247022265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -28.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130913 + 29*m + 2147*m**2 - 29*m + 130914 to the form s + l*m + w*m**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 33\/37?\nAnswer: 33\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -249 - -3239\/13. Let u = 8.5 - 9. Suppose -m + 372*j + 5 = 368*j, 0 = -5*m + 5*j + 25. Put b, u, m in increasing order.\nAnswer: u, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 71 + 1199 = 0. Let g = d - -135. What is the tens digit of 1\/(4\/(-432)*g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o = 4*b - 410, 3*o - 10*b + 6*b = -35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2763112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102055171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:42 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 311296561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(56)*4)\/(sqrt(360)\/sqrt(5)).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*q + 217, -h + q = -6*h - 981. Suppose 132 = 3*n + 996. Let l = h - n. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 595 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 divided by -4?\nAnswer: -733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 181773 + -146?\nAnswer: 181626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.966 and 0.13.\nAnswer: 0.12558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10922706.\nAnswer: 2, 3, 47, 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24227 + -24151. Solve 16*q - m = 92*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7701 + 14569. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 13 = -7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*h**2 + 49357*h - 667.\nAnswer: (h + 667)*(74*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8144 minus -7207447339?\nAnswer: 7207439195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.6339 centuries in millennia?\nAnswer: 94.86339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/229 and -117\/10?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/3 - 15*a**2 - 1815*a. What is b(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178501 is divided by 2002.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 20*i + 82 = 0. Let k = i - -84. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045 is divided by 51?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -114000144 (base 6) in base 14?\nAnswer: -3dc22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - -2)\/(-2) - 0. Let n(t) = -9*t**3 + t**2 + t - 7. Let m(w) = -4*w**3 + w - 3. Let d(h) = 7*m(h) - 3*n(h). What is d(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 30. Suppose -4*m - x = m. Let j(n) = n**2 + 2*n + 2. What are the prime factors of j(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 164213416?\nAnswer: 164213424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdccvssvcgccrv. What is prob of picking 2 c and 2 s?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.37 - -0.37. Let w = 75.906 + m. Let j = -0.006 + w. Is 0.4 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227799 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 44661.8 to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viyndvny. What is prob of sequence yvdy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 2*n**2 - n**2)*(n - 1 + 1 + 2).\nAnswer: 5*n**3 + 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14037990*t - 9895194 wrt t?\nAnswer: 14037990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*q**2*z**2 + 2*q**2*z - 2*q**2 - 13*q*z**2 - 11*q*z + 34*q + 614*z**3 + 4*z**2 + z - 2 wrt z?\nAnswer: 16*q**2 - 26*q + 3684*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l - 43*l - 975 + 975 - 3783*l**3.\nAnswer: -3783*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 714777.5kg in nanograms?\nAnswer: 714777500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28681\/2688 + -3\/896. What is a in -k - 2\/3*a**2 - 16\/3*a = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 314676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680310783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2068 and 39668?\nAnswer: 436348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 146537421 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/9 - (-6)\/27. Let o(v) = 295*v + 51641 - 25819 - 25825. Is o(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 4\/1943 (b) -3 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3925757 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -9)*20\/(-120)*((-10)\/(-1) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 + -0.03. Let k = j - 0.225. Let t = k + 0.044977. Round t to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24438973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -55*o - 528. What is y(-9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -770 >= -795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795 + 18*k**3 + 1568 - 773.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1536120 and 2.\nAnswer: 3072240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -343 (c) -2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49466547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 20*h + 6. Let x(a) = -4*a**2 - a. Let m(u) = 3*u**2 + u. Let r(n) = -5*m(n) - 4*x(n). Let f(v) = -j(v) - 5*r(v). Factor f(q).\nAnswer: -3*(q + 2)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 62*q**3 + 1\/2*q**4 + 103 + 59582*q + 2883*q**2. What is c in v(c) = 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249*-0.4\nAnswer: 99.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*s - 70*s = 254232. List the prime factors of s.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y**2 + 22*y**2 + 15*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {n: 6, h: 3, e: 4, g: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13224)\/(-32) - 2\/8. Let w = -89 + -37. Let q = w + o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -42, -71, -96, -111, -110, -87, -36?\n\"Answer: q**3 - 7*q**2 - 13*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-1440)\/200)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4477974.99916 + 4477890. Let i = -85 - k. What is i rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 - 11. Let i = -123.2 + p. Suppose -2*k - 4 = -6. What is the nearest to k in -4, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151179865 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*s - 7*s - 3, -j + 4 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-20 - -14) + 2\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1*-4)\/2)\/(14\/21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 38*m + 8. What are the prime factors of y(5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 9:35 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 9*q\/5 + 6\/5.\nAnswer: -3*(q + 1)*(5*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4832339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 76 (b) -3 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -37. What is the third biggest value in 0.5, 0.1, g, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -11) + (7 - 23) + 34?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1513)\/(-2312)*1\/(-2) and 133\/204.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 163, 180, 215, 274, 363, 488, 655, 870?\n\"Answer: o**3 + 3*o**2 + o + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 376, 563, 750, 937, 1124?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(0 + 2 + -1))\/((-7)\/(-161490)). Round k to the nearest 1000.\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.957 + 0.043. Let h = 31.5 - z. Which is the smallest value? (a) -5 (b) -4\/7 (c) -3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5056260 to the nearest integer?\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(5 + 2*3*sqrt(847)*-2))**2.\nAnswer: -84480*sqrt(7) + 7807552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 22. Give w(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 215861 (base 10) in base 2?\nAnswer: 110100101100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 2. Let z(r) = -2*r + 2. Let k(x) = x - 2. Let p be k(9). What is p*z(b) - 6*g(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1008\/912 - (-3 + (-78)\/(-19) + -1). Is 2 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4\/3 + 32*s**3 - 548*s**2\/3 + 168*s + 384 = 0.\nAnswer: -1, 3, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((5\/(-60)*2)\/((-12)\/72)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:04 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 490, 805, 1316, 2011, 2878, 3905?\n\"Answer: -2*h**3 + 110*h**2 - h + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79246480 divided by 6.\nAnswer: 39623240\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20670+30346\nAnswer: 51016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351021?\nAnswer: 3, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 4*w**2 - 19*w - 12. Let f be d(7). Determine c so that 1\/4 + 1\/4*c**f + 1\/2*c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.0887 and 0.39?\nAnswer: 4.6987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 374370, 748898, 1123442, 1498008, 1872602, 2247230?\n\"Answer: d**3 + 2*d**2 + 374515*d - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51\/27452 + -169504\/2038311. Calculate the common denominator of -40\/363 and z.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -6, -153, 5, 1 in ascending order.\nAnswer: -153, -6, -4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27202\/201 + 2\/3 is divided by 125.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**5 + f**4 + 2*f**3 + 1. Let o(h) = 3*h**5 + 15*h**4 + 10*h**3 - 218*h + 5. Let x(r) = -5*d(r) + o(r). Find the second derivative of x(n) wrt n.\nAnswer: -40*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1100111001101111110001001?\nAnswer: -1100111001101111110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 - (-157)\/2. Let g = 21 - 14. Calculate the remainder when 4\/(-26) + 1572\/w is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v + 2. Let z(l) = 25*l + 14. Let p(j) = -2*n(j) - z(j). Let d(s) = -6*s**2 - 68*s - 54. Let o(g) = -3*d(g) + 8*p(g). Factor o(m).\nAnswer: 2*(m + 1)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -110 (c) 91 (d) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-210)*7*4\/(-5). Are 18 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.128 and -15?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - h**2 - 3*h + 2*h + 0*h in the form u*h**2 + v*h + b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*p*y - 273*p - 5011*y + 1 wrt p.\nAnswer: 64*y - 273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/116)\/(10\/40)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 31652858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, u: 2, n: 13}. Give prob of sequence hhh.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/23 (b) -2\/11 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 164\/1845*((-7)\/(-4) + -1 + 0)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*b**2 - 3)*(-2*b + 3*b - 9 + 11) + 4*b**3 + 4*b**3 - 5*b**3 to n*b**3 + m*b**2 + a + v*b and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -61\/4 (b) 2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -7\/18*q**3 + 0 + 1\/36*q**4 + 0*q**2 + 22*q. Factor c(u).\nAnswer: u*(u - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 11*h + 7. What is the remainder when 156 is divided by r(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*b**3 - 266*b**3 - 103*b**3 - 24*b**3 + 109*b**3 + 23*b**3.\nAnswer: -591*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 91, 144?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1153606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 2\/5 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 542167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/10*4\/2*115\/(-138)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9804, -38727, -86932, -154419, -241188, -347239?\nAnswer: -472572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 14\/5. Let k = -5739\/140 + 1461\/35. Which is the nearest to 0.2? (a) -6 (b) k (c) u (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24200 and 800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000329395 to 7 decimal places.\nAnswer: -0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4706 + -4704. Let o be 2\/8 + (-15)\/(-4). Put o, r, -4, -19 in ascending order.\nAnswer: -19, -4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fssftaatfatts. Give prob of sequence tsta.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Let l(n) be the third derivative of -n**7\/630 + n**4\/8 + 4*n**2. Let d(i) be the second derivative of l(i). What is d(f(v))?\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + b2a35?\nAnswer: b2a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272 + -272. What is the second smallest value in -5, -4, 1, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 3. Let g be i(4). Suppose 2*k + 2 = -0*k. Let a be (-1)\/(-2 - 21\/(-12)). Sort k, g, a.\nAnswer: g, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1567 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 15*m + 16. Let h be x(-13). What is the units digit of (-4)\/h - 148\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29001 and 2949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x - 8*x - 5*x in the form k + g*x and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 - 38*n**2 + n**2 + 2*n**2 + 14*n**2 - 4*n.\nAnswer: -10*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 2023334743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-14)*116202\/(-4344).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32311323 (base 4) to base 8\nAnswer: -166573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 35, 5*m - 51*a + 10 = -46*a. Let q(j) = -j**3 + 7*j**2 - 13*j + 20. What is q(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/3)*b**(-1\/7)\/b*b**14\/(b\/(b*b*b*b*b*b**(1\/9)*b)))**40 assuming b is positive.\nAnswer: b**(41920\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 4*t + 2*t + 4*t - 4*t - 2*t + (3 - 4 - 1)*(-3*t + 2*t + 2*t) - 8*t - 7*t + 4*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 12. Let y be -25*p\/45*-6. Let t be (y\/(-6))\/(1\/342000). What is t rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 2, 5, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4.4 or -10?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -25. Solve -4*t**2 + 4*t - 8*t**5 - t**4 - 9*t**3 + t**4 - 3*t**o + 20*t**4 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 7059*d + 63774.\nAnswer: -3*(d - 2362)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -16, 997, 4\/37, 15?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from paalraarddpaadda?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1. Let t(r) = 2*r + 13. Give -6*d(h) + t(h).\nAnswer: 2*h + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (5*(sqrt(440)\/(sqrt(8) - sqrt(8)*-1))\/(sqrt(11)*3*-1))**2).\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 171666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13764.4 - -13764. Which is the biggest value? (a) 4 (b) -2\/9 (c) 533.7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdddqcdq. Give prob of sequence cd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.7. Let q = r - 0.7. Let i = 2202\/11 + -200. Which is the second biggest value? (a) i (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27509142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*v + 21515 = 5926 - 19754 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(-5*-2*sqrt(8)) + ((sqrt(234) - -1*sqrt(234)) + sqrt(234))\/sqrt(2).\nAnswer: 91*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43751428?\nAnswer: 2, 7, 23, 41, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 29*d = 29*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 - 3*c. Let l be g(-2). Suppose f - 3*w = -l*f + 45, 2*f + w - 36 = 0. Calculate the remainder when f is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.75262 months in decades?\nAnswer: 0.0229385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.43475ug to kilograms.\nAnswer: 0.00000006443475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 48*g - 2 + 138*g to h*g + i and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2232.7645 to the nearest integer.\nAnswer: -2233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8*20\/(-56))\/(4\/14). Suppose -4*f - 5 = -3*f - 4*n, 2*f = 4*n - u. Let v be 78\/8 - (f - (-76)\/16). Solve 0*k - v = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -21, -27, -33, -39, -45?\n\"Answer: -6*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m - 80*m + 43*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 116*a - 113*a = 3, 0 = -4*k - a + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ad12a (base 14) in base 15?\nAnswer: -13dc45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11968547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2760, -2774, -2788?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3, 0, -2\/7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - -8)\/((-2)\/220). Calculate the highest common divisor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -8\/681 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**5\/15 - 3*f**4\/4 + 286*f**3\/9 - 3019. Factor k(p).\nAnswer: -p**2*(p - 13)*(p + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**5\/5 - 54*g**4\/5 + 116*g**3\/5 + 474*g**2\/5 - 108*g = 0.\nAnswer: -5\/2, 0, 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 24729?\nAnswer: -18\/8243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 9.4. Let i = w - -5. Which is the nearest to -1\/4? (a) i (b) 0.3 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -8, -2, 0.13, 13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*a = -k + 6, 0 = -2*k + 4*a + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 4. Let u(f) = -2*f**2 - f. Let l be u(-2). Let p be 3 - 11\/((-11)\/l). Give t(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20.3, -2\/3, 4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*n = -12, -y + 4*n = -10 - 2. Suppose 0 = -4*c + 3*c - y. Let k = -159 + 158.9. What is the closest to -0.4 in k, 2, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(-1*-1*sqrt(448) + -1 + sqrt(448) + -1) - (sqrt(448) + (-4*(sqrt(448) - 2*sqrt(448)) - sqrt(448)) + 0 + sqrt(448) + 1)**2).\nAnswer: -11185 - 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 1828 = 4*b + 5*r, -5*b + 4640 = 5*r. Is 33 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*q - 4*q. Let h = q + -1. Sort -3, 2, h in increasing order.\nAnswer: -3, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/2843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - 1)*20\/(-6). Suppose 2*p + y - 6 = -4*i, -3*p + 3*i = -24. Suppose -2*j - p*d + 71 = 0, 3*d - 99 - 46 = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r - 99*r + 30 + 147 = 0. Which is the biggest value? (a) 411\/7 (b) r (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 1, w: 1, n: 2}. What is prob of sequence nk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2. Let h(g) = -6*g. Let d(r) = 2*r. Let l(y) = -7*d(y) - 2*h(y). Calculate l(t(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1, 5, 0.06 in descending order.\nAnswer: 5, 0.4, 0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 - (-4 + 1) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28842855 by 1922857.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let d = 7.7 - 8. Which is the second smallest value? (a) d (b) -2\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {p: 6, g: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158 - 159. Suppose -4*w - 2*l = -3*l - 26, w = 3*l + 12. Let x be t + 4 + w\/2. Solve 2*i = -i + x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cc4c (base 14) to base 8\nAnswer: -105024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 15 + 9 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -6511537\nAnswer: 1\/6511537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3617 - 5*y**2 + 3617.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 422 or 28350\/67?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -2\/73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2746.4 - -2741.4999. Let a = t + 4.9. Round a to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*j - j - 2*j)*(-1 - 2 + 4) + 3*j - 2*j + 2*j)*(-2 - 7 - 4)*(-j - 1 + 1)*(-7 + 22 - 5) to m + h*j + w*j**2 and give w.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 19*h - 6. Let i be k(-3). Let o = i + 63. Suppose f - 3*b - 404 = o, -b + 25 = 4*b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2424 (b) 0 (c) -5 (d) 0.281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346 or 22?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u - 99*u + 3*q + 4 + 10 = 0, -3*q = 3*u + 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7566 and 1746?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 707073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*i - 42. What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/34982 and -115\/12?\nAnswer: 209892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1697742*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3 + 3)*(7*u - 3*u + 14*u).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -515, -1038, -1555, -2060, -2547, -3010, -3443?\n\"Answer: y**3 - 3*y**2 - 521*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 131123142 (base 5) to base 15\nAnswer: cb382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*h = -13, -2*b - 2*h + 5 = 7. Let w = 1 + -1. Suppose -b*j + l - 4*l = -1125, w = 2*l. Round j to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 2. Suppose 164*n - 167*n = -111. Let b = n + -36. What is t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20 - -12) + 123 + 3. Is n smaller than 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -53, -52, -41, -14?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6816\/11 + 20488\/33. Let o = -1241531\/483690 - -2\/16123. What is the common denominator of o and x?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138741 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*u = 18, -2*k + 7 = 3*k - 3*u. List the prime factors of (k + -3 + 0)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17846 or 17825?\nAnswer: 17825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 16. Suppose 0 = 3*o - k*d - 26, -o - 4*d + 29 - 11 = 0. Solve -o = 2*c - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:14 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465751 divided by -35827.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 189?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 6. Let v(w) = -2*w + 7. Let n be v(3). Let m(i) = i + 1. Give n*h(l) - 6*m(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/30 and -115\/162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3 + 3)*(-s**3 + 6*s**3 - 3*s**3) + 3*s**2 - 8*s - 26*s**4 + 137*s**4 - 122*s**4.\nAnswer: -9*s**4 + 3*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -6*(-2)\/4. Suppose -2*g + p*g = -3*a + 9, -5*a + 22 = -g. Suppose -g*h = -4*h + 18. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 471\/11 + -43. Let f = -366.19 + 369.19. Which is the closest to -0.3? (a) x (b) 5 (c) 4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -586*x**2 + 4*x**4 - 45*x**5 + 9*x**4 - 480*x**2 - 38*x**5 - 17*x**4 wrt x?\nAnswer: -4980*x**2 - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -2.8. Let t = 7 + p. Let y be (6\/10)\/((-117)\/65). What is the biggest value in t, y, -13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6830699145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edee when four letters picked without replacement from eweededddweeedddedd?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15686976, -15686971, -15686962, -15686949, -15686932, -15686911, -15686886?\nAnswer: -15686857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 3:02 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.11 (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23145162893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62059\/244962 - -1\/878. Let t = h - 1\/31. Factor 2\/9*g**5 + t*g + 4\/9*g**2 - 2\/9*g**4 - 4\/9*g**3 - 2\/9.\nAnswer: 2*(g - 1)**3*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 2\/11 (c) -6 (d) 12 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (70 - -17 - 131)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 585*n + 42. Let y be z(-4). Let w be ((-7)\/(84\/y))\/((-1)\/2). Is w bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 29376.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -4, 6, 0.\nAnswer: -4, 0, 6, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -32. Suppose 38 = o + j. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11676740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4113051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/3))**(-24)\/(o**(-2\/31)\/o**(2\/3)) assuming o is positive.\nAnswer: o**(-2908\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4806 and 244.\nAnswer: 586332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s + 0*s**3 - 81\/8*s**4 + 0 + 27\/10*s**5 - 40*s**2. Find the second derivative of u(h) wrt h.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 16, d: 4}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.4 + -5.64. Which is the nearest to 2\/5? (a) -3\/5 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:57 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 475361775 a multiple of 1505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44a5a (base 11) to base 3.\nAnswer: 10022101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 17 + (1 - -11) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 33*j + 5. Let f be w(11). What is the smallest value in 2, -0.498, 0.4, f?\nAnswer: -0.498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 337*z**2 + 25*z + 143. Is m(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpetmqp. Give prob of picking 1 m and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/126 and 4\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 958 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 7467*b**2 - 10604880*b - 4233679164.\nAnswer: -(b + 858)**2*(b + 5751)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/42285 and -39\/1525079?\nAnswer: 22876185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4039928886 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 2. Let y = f + 5. Solve c + y = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**3 + 11*i - 21*i + 10*i.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6*k**(-1)*(k**(3\/5)\/k)\/k*k*k**(-2\/11)*(k\/(k**(-2)\/k)*k**(-3))\/(k\/k**(-2\/5))**5 assuming k is positive.\nAnswer: k**(-87\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -201. What is the least common multiple of (24\/(-15))\/(6\/n) and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 6*z**3 + z**3)*(35*z - 18 + 18).\nAnswer: -70*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72810 and 6390?\nAnswer: 5169510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006012898?\nAnswer: 2, 11, 45727859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose -m = q*m. What are the prime factors of 8\/2 + m\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71473*y**3 + 35735*y**3 + 35734*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1) + -4 - 0) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1119 + -1118.999995986. Round w to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6840 and -63\/1216?\nAnswer: 54720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3896 and 1461.\nAnswer: 11688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 59602.35ug?\nAnswer: 0.05960235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (19728\/1357944)\/(1*(-3)\/7)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = 286*d - 324*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.6 and 6.617559.\nAnswer: -63.5285664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a**3 + 60*a**3 - 20*a**3)*(8*a + 5 - 9*a + 1).\nAnswer: -56*a**4 + 336*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(156) + sqrt(156) + sqrt(156) + sqrt(156)*-4)\/sqrt(12) + 1.\nAnswer: -sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 18*t**2 + 36*t + 3. Give w(16).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**2 - 44. Let y(b) = 2*b**2. Calculate y(x(k)).\nAnswer: 128*k**4 + 1408*k**2 + 3872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v. Let n(h) = -1806700*h - 6090. Let r(o) = -7113*o - 24. Let w(u) = -4*n(u) + 1015*r(u). Calculate w(t(s)).\nAnswer: -14210*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 5*q**2 - 5*q + 2. Let x be (-9 - 114\/(-12))\/(2\/(-8)). Let b be j(x). Factor -1\/2*y**3 + 0 + 1\/2*y**4 + b*y - y**2.\nAnswer: y**2*(y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 13)*(0*d**4 - 2*d**4 + 0*d**4).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5 = -7*l - v, 10 = -2*v. Let y be l\/(-8) - 26\/(-8). Let g = 7 + -2. Which is the biggest value? (a) g (b) -3\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/15)\/(1167\/17505)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*v + 11434 - 24522 = -1745*v + 55682 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -5*v**4\/12 - v**3\/6 - 274*v. Let u(z) = 2*z**2. Give u(h(q)).\nAnswer: 50*q**4 + 20*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -293856, -587719, -881582, -1175445?\n\"Answer: -293863*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66851 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75\/100*(-60)\/(-9). Solve 0 = 5*u + q - 146 + 141, -3*u + p*q - 25 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -3. Let g = 12.37 - 3.37. Let a = z + g. Put a, -4, 0.02 in decreasing order.\nAnswer: 0.02, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 954 and 48?\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 8538, -92 in descending order.\nAnswer: 8538, -17, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6506*r + 669985. Determine x(103).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**2 - 1. Let z be u(1). Suppose -5 = -5*p + 4*w, p = -z*w + 6 - 34. Does 5 divide 16 + p + 1 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3744*n + 3*b + 44 = 3746*n, 2*b + 28 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(21\/(-6) + 4). What is the common denominator of o\/(-3) - 4\/336*-646 and 31\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 474, -4, 132, -3, -2.\nAnswer: -4, -3, -2, 132, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 164?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**6\/60 - 9*g**4 - 3284*g**3\/3 + 9*g**2 + 2*g - 34. What is the derivative of w(v) wrt v?\nAnswer: 6*v**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20b347 (base 13) to base 11\nAnswer: -484553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 1. Let j = 15581 + -15575. Give n(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 22 = 3*s, 11 = 4*s - n - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l. Suppose l*t + 4*t - 8 = 0. Suppose u + 0*u - 223 = -3*r, t*u - 296 = -4*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25602 or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 754 = -19*x + 22*x, -4*a + 5*x = 1508. Suppose -3*c + 741 = -4*q, 2*q = 6*c - c - 367. Let v = q - a. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.6 in -1\/3, 2\/11, 1\/3, -2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r**2 - 14*r - 4. Let a be x(-3). Let q(b) = -b**3 - 10*b**2 - 4*b - 20. Let t be 0 - (-4 + 28\/2). Let k be q(t). Solve a*s + k = 6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5344*i = -3*u - 5342*i - 28, 2*u + 3*i - 3 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 306?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 6:02 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18*a + 94. Suppose -5*b + 2*s = -21, 2*s - 43 = -5*b - 14. Let q be x(b). What is the greatest common factor of q and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-24))\/(27\/29294541). What is f rounded to the nearest one thousand?\nAnswer: -362000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)\/z*z)**(-21) assuming z is positive.\nAnswer: z**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)\/1 - -2. What is the units digit of 18 + (0\/w - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 3. Let d(t) be the third derivative of t**8\/20160 + t**7\/720 + t**5\/5 + 4*t**2. Let h(b) be the third derivative of d(b). Determine h(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*s - 24, -2*s - 30 = 2*f + 2*f. Let g = f - -2. Let p be ((-8)\/(-110))\/(g\/(-10)). Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -5*n**3\/6 + 9*n. Let w(m) = 2*m. Calculate w(z(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3083 - -3083.5. Let z = 0.08 - -11.92. Let l = z + -17. Which is the nearest to 0? (a) -3 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*w + 70 = 0, w + w + 76 = v. Suppose m = -4*h + 83, 3*h - v = -4*m + 3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:49 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -198*n + 15684 - 16675, 3*p + 4*n = -23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*x - 5*j + 7, -4*j + 9 = -x. Let i = 1 + 0. What is the nearest to i in -2, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 59*h**4\/12 + 6419*h. Let v(z) = -40*z**2. What is m(v(p))?\nAnswer: 94400*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**3 + 14*b**3 + 135*b**2 + 129*b**2 + 140*b**2 - 534*b**2 + 129*b**2.\nAnswer: 3*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4183\/153 + 112\/(-952) + (-16)\/72 + 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210*l**3 + 55*l**2 - 4*l.\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 5300*j + 42144.\nAnswer: 4*(j + 8)*(j + 1317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 30 - 7 = r + 19 + 14, -5*b + r = -10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 10*d + 8. Suppose -h = 3*y - 29, 0 = 3*h + 3. What is the remainder when 22 is divided by m(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 12*l**2 - 17*l + 25. Let m be f(-13). Let x = m + -7. What is the highest common factor of x and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3552 divided by 4?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (54\/180)\/(1*(-3 + 30\/34)) and 53\/2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*n + 6*n + 228 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-29)\/(-31) + 38403040\/22940. Which is smaller: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -14)*2\/2. Let o be 13\/g - (-2)\/(-6). Let u = 70 + -69. Which is the second smallest value? (a) -0.1 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 49*p**3 + 57*p**3.\nAnswer: 103*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -0.19, -0.3, -1, 4\/9.\nAnswer: -12, -1, -0.3, -0.19, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8000002 - -0.8. Round g to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in 1.7, -3, -2, -0.5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (701 - 3)*14\/28 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 13*s + 16. Suppose -5*b = 2*y - 8*b - 30, 4*b - 16 = -2*y. What is u(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 13*p - 10. Let h be i(0). Put h, -5, -4, 1, -2 in ascending order.\nAnswer: h, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 6*j - 85 = 0. Suppose -o = o - 3*u - 339, j*o = -3*u + 879. Is o a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20553.9999960442 + -20554. What is l rounded to seven decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 29) + (-10 + -1 + (240 - 107) - -10).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*y + 1209 + 2806 - 865 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 15*x + 7. Let l = 24 - 11. Let m be h(l). Let i = -8 - m. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039047 rounded to 4 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 943108018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007635371987 to six decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (560\/(-63) + 9)*2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.54 times -51?\nAnswer: -333.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + 8*(-4)\/(-8). Let v be 106\/4 - a\/(-8). Suppose 29*l - 21 = v*l. Calculate the remainder when 19 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 54 = -2*v, 6101*r - 6109*r - 70 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28025 - -0.01.\nAnswer: -28024.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/312)\/(2\/(-8)*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 19. Let p be f(8). Let v be 1 + (39 - (1 + -3)) - p. Suppose 0 = -3*l + 330 - v. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 + 45*d\/4.\nAnswer: d*(d + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 240191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 233381115.\nAnswer: -1\/46676223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -355 - -355. Suppose 19*k - 10*k - 1449 = n. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6000 and 880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 3732 + 43022 = 0. Suppose j - k = 5532. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713837811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + 182723?\nAnswer: 182701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 448451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 5*f + 3. Let u be l(-3). Is (u\/(-2))\/((-2)\/(-16)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2051*b + 13448 + 38258 - 74805 = 134828 for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -10 - -2 - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 241678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**12)\/y*y**6*y*y)\/((y*(y\/y**16)\/y)\/y*y**(1\/30)))**(-14\/9) assuming y is positive.\nAnswer: y**(-7553\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54088 (base 11) to base 10\nAnswer: 78625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/15)\/m)\/m*(m**(-1)\/m)\/m)\/((m\/((m\/(m**7\/m*m))\/m))\/(m**(7\/3)*m*m)) assuming m is positive.\nAnswer: m**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*g + g. Let l(r) = 55*r + 37. Let k(t) = 92*t + 74. Let i(a) = -4*k(a) + 7*l(a). Let h(v) = 4*v - 9. Let d(c) = g*h(c) + 2*i(c). Calculate d(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4275, 4262, 4239, 4206, 4163, 4110?\nAnswer: 4047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 23) + 4 + (2 - 2) + -8.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 1. Let j(n) = -n**2. What is -6*j(y) - q(y)?\nAnswer: 8*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*x, 11*h = 9*h + 3*x + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)*-2 - sqrt(100))*-1 - sqrt(100))\/((sqrt(240)\/sqrt(4))\/sqrt(6)))\/((sqrt(540)*2)\/(sqrt(12)\/(2*sqrt(4)))).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3566597.\nAnswer: 239, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, -2*l - 3*d + 21 = 5. Let h(x) = 3*x**2 + 3*x - 5. Is h(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -1\/3 (c) -0.1 (d) 0.6 (e) -1551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 64.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 4*a - 5. Let r(n) be the second derivative of -n**3\/6 + n**2\/2 - 12*n. What is m(w) + 3*r(w)?\nAnswer: 2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*k + 8*k**3 - 69*k**3 + 5*k**3 - 72*k**2 - 18*k**4 - 2*k**5 - 10*k = 0. Calculate k.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - s + 4. Let f(k) = k**2 + 2*k - 7. Let j(l) = -2*l + 7. Let q(n) = -4*f(n) - 3*j(n). Determine 4*q(d) - 7*v(d).\nAnswer: -2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1237 = -5*q + 4*t, 4*q = 7*q - 3*t - 744. Let l = q + -92. Is l a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -26*o**2. Suppose -2*t + 136 = -102. Let u(d) = 119 - t - 5*d + 2*d. Determine u(p(j)).\nAnswer: 78*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1704, -3417, -5130?\nAnswer: -6843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urynakayn. What is prob of picking 1 k, 1 u, and 1 a?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4)\/k)**(5\/2) assuming k is positive.\nAnswer: k**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3 + 10*y**2 - 496*y - 504 = 0.\nAnswer: -18, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757463467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**2 - 22*r**2 + 11*r**2 - 43*r**2 - 2*r.\nAnswer: -72*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 854095320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 385549877*j - 1261280202 wrt j.\nAnswer: 385549877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-405)\/(-54) + ((-555)\/6)\/5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4185 and 12855?\nAnswer: 3586545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5152)\/(-7) + (7 - 2). Suppose -1879 = -5*k + b. What are the prime factors of k?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.529 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaq. What is prob of sequence qi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527539747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*k - 31 = 0, -238169*k + 238174*k + 5 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -170.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151545\/7 - 21730. Let m = r - -81. Is 1.3 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3 + 4.8. Let f be 6\/(-9) - (-749)\/3. Let z = -1001\/4 + f. What is the second smallest value in j, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.31 - -45.31. Let q = 56.117 + -0.117. Let b = q - a. What is the third smallest value in b, 2\/11, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4595, 9216, 13837, 18458, 23079, 27700?\n\"Answer: 4621*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 34. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9869895 divided by 3289965\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from adadaba?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1184644310722 - 24\nAnswer: -1184644310746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 1 + 5. Find the third derivative of 3*f**v + 0*f - 6*f**5 + 4*f**5 + 0*f wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4049 is divided by 252.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -4, -33\/23?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.1 (b) 435 (c) 19 (d) 2\/5 (e) -21\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 397*d + 1463. What is l(-135)?\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 42 = -16*j. Let p(d) = -d**2 + 12*d - 1. Let r be p(6). What is the greatest common divisor of j and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7278.99999619 + -7279. Round p to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 94 = 24. Suppose t*y - 9*y = -10, 4*y + 1637 = 3*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/490 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*c + 32, -5*c + 40 = -4*y + 2*y. Solve 0 = -3*a - c - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 1\/(-4)*0. Let h = o - 5. Let b(w) = -w - 7. Calculate b(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*x**2 - 663499*x + 3 + 331741*x + 331743*x to q + f*x + l*x**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 31025.\nAnswer: 341275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -841 - -1456. Suppose 2*t - 5*r = 277, -5*t - r + o = 2*r. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8256 and 4128.\nAnswer: 8256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -687.65 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3592491 and 39.\nAnswer: 3592530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871740?\nAnswer: 2, 3, 5, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**3 - 3*c**2 + 12*c + 253. Let p(u) = -3*u**3 + u**2 - 4*u. Determine -3*p(z) - y(z).\nAnswer: 2*z**3 - 253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-2)*((f\/f**1)\/f)**(-40) assuming f is positive.\nAnswer: f**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1583*y**2 - 24303*y**2 - 25733*y**2 + 1 + 5563*y**2.\nAnswer: -42890*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -28*h - 40. Let k be l(-6). Let a be (4 - k)\/(-2) + -2. Let j = a - 59. Is j smaller than 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106 + 93*h - 208 + 103 in the form k*h + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + -102*(-8)\/(-12). Which is the second smallest value? (a) 2\/11 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 1176, 3049, 5776?\nAnswer: 9357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 6)\/((-52)\/((-1352)\/(-39)))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/4 - 37*r**3\/2 - 1771*r**2\/4 - 6897*r\/2 = 0. What is r?\nAnswer: -33, -22, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4772, 18998, 42698, 75872, 118520?\n\"Answer: 4737*n**2 + 15*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000508934299 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7025.564mg?\nAnswer: 7025564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 23 = -27 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:41 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/13 + 56\/(-30). Suppose -j + 4 = 3. Let m be -2*3\/12 - j. Which is the closest to m? (a) -1 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**32*d*(d*d**(-1\/40))\/d assuming d is positive.\nAnswer: d**(1359\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*m + 86*m + 4080. Suppose -2*i + h - 5*h = -m, -4*h = i - 249. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000173 rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -22754\/105241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -5 - (-1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.1304 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -376.4 - -376. Which is the second biggest value? (a) x (b) -7.8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - -24. Suppose -5*t = 2*r - 49, 4*t + 0*t - 5*r - o = 0. Suppose -1 = 2*x - 3*b, 5*b + 2 + t = -4*x. Does -4 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 3*f**2 - 8*f + 23. Let y be s(-8). Let t = 971 - y. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2716 is divided by 457.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 15. Suppose -5*s + 0*n = 4*n + 8, s = -2*n - 4. Let q = l + s. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -1.2, 15\/2, -11, -1\/10?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 13. Let g be t(-7). Let l = -6 - g. What are the prime factors of (7 - -8)\/((-1)\/(-6)) + l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -28*k + 86. Let c(f) = 3*f + 3. Let b(s) = -9*s - 8. Let o(t) = 4*b(t) + 11*c(t). Calculate the remainder when o(-1) is divided by l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-12))\/x)**(-47)\/(x\/(x\/(x\/((x\/x**(-2\/29)*x)\/x*x)))*x*(x**(4\/3)\/x)\/x*x) assuming x is positive.\nAnswer: x**(49045\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307074, 307069, 307046, 306999, 306922, 306809, 306654?\nAnswer: 306451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-5) + -10*1. Let r = -17 - g. Let x = 25 + r. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/72?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:39 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55548 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaqa when four letters picked without replacement from qqqqqqaqaqqaqaaqqqq?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*o - 5*o - 86, -3*o - 2*y - 116 = 0. Let j = -1 - -6. What is the common denominator of -53\/26 and 2\/(-5) - (316\/o - j)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -17680?\nAnswer: -17679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 2*n - 2. Let p(q) = -69*q**2 + 6*q + 72. Let j(w) = -3*o(w) - p(w). Let l(m) = m**2 - 1. What is -2*j(y) + 132*l(y)?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 95*j**2 + 39*j + 9. What is the hundreds digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 770 - 738. Solve 0 = -2*y - 5*s - 10, 4*y - 4*s - d = -s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29740 + 29739.9935. What is the nearest to h in -2\/9, -3, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**4 + c**2 - 6*c + 4*c - 1 + c**4 + 2*c**3 to the form j*c**2 + a + q*c**3 + i*c + m*c**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.896737 grams to nanograms.\nAnswer: 896737000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -2.5, 2, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 8*y + 10. Let w be h(-7). Let -4\/7 - 26\/7*t**w + 6\/7*t + 18\/7*t**4 + 10\/7*t**2 - 4\/7*t**5 = 0. Calculate t.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 4 (c) 13 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8. Suppose s - 11 = m. Solve 0 = -f + 4, -6*h + 2*h + s = -2*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -32. Let n = x + 23. Is n bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + ((sqrt(152) + (sqrt(152) - (sqrt(152)*-1*2 + sqrt(152))))*-5)\/(sqrt(40)\/(sqrt(45)*-2)))**2.\nAnswer: -923424 - 2160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*b + 2. Let j = 9 - 3. Let h(g) = -996 + 996 + j*g. Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/527274 and 82\/693.\nAnswer: 3690918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 774 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-41 + 42 + 1 + -1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*m - 7 = -4, -5*m - 13 = -w. What is the third biggest value in w, -4, 2\/3, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -28*b. Let w(v) = -37*v - 11. Let o(n) = 13*n + 4. Let a(p) = 11*o(p) + 4*w(p). What is a(i(u))?\nAnswer: 140*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*s + 36 = 0, 2*j + 76 - 52 = s for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8749 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 347*u**2 + 28*u + 9 - 348*u**2 - 28. Let a be m(27). Solve -4*h - a = -0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 3, -2\/13, 0.5 in decreasing order.\nAnswer: 3, 0.5, -0.07, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.0557 - -0.0443. Let u = 18 - k. Let c = u + 3.6. What is the third smallest value in 3\/4, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, f: 1, w: 3, i: 5, b: 6}. Give prob of picking 1 i, 1 b, and 2 s.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2621468 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 - 17*z - 41. Give j(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(0 + 7))\/4. Let o = 6 - 4. Suppose 38 = o*m - d*m. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 27*q - 77. Does 72 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345\/(-828))\/((-20)\/6)*56\/63?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -680\/3861 + -2\/351. What is the second biggest value in 0.06, 0.1, u?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 6. Let x be (z + 3)\/(-1)*-5. Sort 0.5, -0.4, x in increasing order.\nAnswer: -0.4, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:52 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -66.2. Let u = m - -5.4. Which is the closest to -2? (a) 2\/9 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 156. Let y(q) = 21*q**2 - 45. Let t(f) = f**2 - 2. Let w(z) = -45*t(z) + 2*y(z). Calculate s(w(p)).\nAnswer: -18*p**4 - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 42*k - 210. Give r(-29).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2131 + 6394\/3. What is the closest to c in -567, -2, -0.05, -0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.58 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(4*y + 40*y + 24*y) + 27*y - 1 + 1.\nAnswer: 95*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -1591.\nAnswer: -87\/1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*l + 2 = 0, l + 5 = 6. Which is the nearest to y? (a) -0.1 (b) 3 (c) 1 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 j when three letters picked without replacement from {j: 4, r: 2, c: 1, u: 3, y: 8, n: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 6 + 36 - 42\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 424*l**3*r**2*y + 2*l**3*y - 26*l**2*r**2 + 3*l**2*r*y - l*y wrt l.\nAnswer: 2544*r**2*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -2, -3, -1 in ascending order.\nAnswer: -3, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*2\/6*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 228\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124.729 + 0.271. Let o = -205.08273 + 330.082. Let i = b - o. What is i rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose 2*i + 3*i = -10, 3*r = 4*i + 116. Calculate the smallest common multiple of (-2)\/(-3) + 768\/r and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/9393 and -119\/187860.\nAnswer: 187860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*q = 0, -4*k - 3 - 9 = -q. Let w(b) = -b**2 - 6*b - 5. What is the remainder when 8 is divided by w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjofojjjfqjfd. What is prob of sequence ooq?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 77?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.051163 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 120108, 130185, 140262, 150339?\n\"Answer: 10077*q + 110031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1321.9777?\nAnswer: 1321.9777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*i = -639*i - 4732 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 70.\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*l - 7 - 7, 5 = 2*l - f. Calculate the greatest common factor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235769.55 months in centuries?\nAnswer: 196.474625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/3 + 3460*y**4\/3 + 105338*y**3\/3 = 0. Calculate y.\nAnswer: -1699, -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.14.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102333 - 313?\nAnswer: 102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/54 - (-21)\/(-2)) + 3816\/371?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 153 + -67 + 42.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -a?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-2)*(99\/110)\/9?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1619*b + 7842*b - 1115*b + 517*b + 5295*b in the form k*b + g and give k.\nAnswer: 14158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-6))\/(13\/39)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111260.\nAnswer: 2, 5, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -36?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -602, 2\/11, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.2, 2\/11, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-6\/5)*j)\/((j\/j**14)\/j))\/(j\/(j*j**(-18)*j*j)*j**15) assuming j is positive.\nAnswer: j**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66, 260, 704, 1494, 2726, 4496, 6900?\n\"Answer: 16*l**3 + 29*l**2 - 5*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 1 + 1 - 8*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3422824, -3422618, -3422266, -3421762, -3421100?\nAnswer: -3420274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5395790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*h - 11, 2*b - 4*b + 5*h - 26 = 0. List the prime factors of ((-175)\/(-2))\/(1 - b\/(-6)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o + 3. Let a(f) = 5*f - 4. Let s(d) = -4*a(d) - 5*g(d). Let z be ((27\/2)\/3 - 4)*2. Give s(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 r when four letters picked without replacement from rrrllrrorr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-12) + (-25)\/(-6). Let s = 11\/3 - i. Let m = 0.5 - 0.5. What is the nearest to m in s, -1\/2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((2 - -3) + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 1564*t + 776*t + 782*t)*(-2*t**2 - 5*t**2 + 2*t**2).\nAnswer: 30*t**3 - 175*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 713128512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11342, 4, -1, -7 in descending order.\nAnswer: 4, -1, -7, -11342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 - -0.3. Let l = 3.14 + y. Let f = 0.03 + l. Which is the nearest to 2\/7? (a) -2\/9 (b) f (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 30 + -28 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -142, -360, -708, -1210, -1890?\n\"Answer: -4*l**3 - 29*l**2 + 3*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1008 + -3914. Let n = -1515 - m. What are the prime factors of n?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 21663 (c) -3 (d) -82 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 + 112 + 92 - 5*x)*(2*x + 2*x - 5*x).\nAnswer: 5*x**2 - 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 39656273.6 to the nearest ten thousand.\nAnswer: 39660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 25, -273, -5, -29, 4, -2 in decreasing order.\nAnswer: 25, 4, -2, -4, -5, -29, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/11)\/(-3*6\/36). Which is the third biggest value? (a) 7 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7535109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001360541228 rounded to 6 dps?\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*x + 20, g - 3*x = -2*x + 1. Suppose g*r = 4*j + 20, 5 = -2*j + j - 5*r. Suppose -34*p = -32*p - 6. Sort j, p, -3 in decreasing order.\nAnswer: p, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**7\/5040 + h**5\/10 + 5*h**3\/3 - 17*h**2 - 4*h. Let u(z) be the third derivative of j(z). Determine u(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -316, -263, -96, 239, 796, 1629, 2792?\n\"Answer: 9*k**3 + 3*k**2 - 19*k - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 117*g**2 - 4*g + 2. Let q(f) = 6*f**3 - 817*f**2 - 30*f + 14. Calculate -15*c(t) + 2*q(t).\nAnswer: -3*t**3 + 121*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x + 137 - 131 - 5*x**2 + x. Let h(k) = 9*k**2 + 11*k - 11. Let m(y) = 6*h(y) + 11*v(y). Let l(z) = -z**2 + 1. Give m(l(o)).\nAnswer: -o**4 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335 <= 13003\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216196, -432390, -648584, -864778, -1080972?\nAnswer: -1297166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(112) + sqrt(112)*-3)**2 + sqrt(112) + (-2*sqrt(112))**2 + -1 - (-2*(sqrt(112) + (sqrt(112) - (sqrt(112) + -1)*5))*-2)**2.\nAnswer: -15624 + 1876*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*p - 154617 = 74999 + 47479. Calculate the highest common factor of 117 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35231 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: Solve -2*f**3 + 1250536*f**2 = 0.\nAnswer: 0, 625268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 6*n. Let a(f) be the second derivative of f**4\/3 + 11*f**3\/6 + 6*f. Give -6*a(i) - 11*l(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 3. Let b(i) = 5*i + 5. Let v(o) = b(o) + 2*j(o). Let f(z) = 2*z. Determine -3*f(n) - 4*v(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjejjlljjjqjebegjj. What is prob of sequence egq?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (106 - (25 - 1 - 12)) + -26 + 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10.2. What is the second biggest value in -0.3, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/251782575 and -21\/14708.\nAnswer: 1007130300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -x - 5. Let i(v) = -v**3 - 6*v**2 + 3. Let c be i(-6). Suppose 4*b = -2*h, -2*b + 2*h - x = c. Is b bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggf. What is prob of sequence gfg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 - 3*g + 1. Let u be n(3). Let w(l) = u - 1 - l. Let p(b) = -b. What is p(w(h))?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + g = 132, 4*g = -4*x - 0*g + 272. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152458 and 310.\nAnswer: 762290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(2*sqrt(5)) + 5*sqrt(51)\/sqrt(3) - (sqrt(1088) + -1*sqrt(1088) - sqrt(1088))*3.\nAnswer: 59*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*u**4 + 2*u**3 - 1073*u**2 - u - 39910 wrt u.\nAnswer: -72*u**2 + 12*u - 2146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(0 - -2 - 3). Let c be (-82)\/4*40\/(-410). What is f in 0 + y*f**4 - 4\/9*f**3 - 8\/9*f**5 + 0*f + 0*f**c = 0?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 2, w: 1, o: 1, d: 1, t: 1}. Give prob of picking 1 d and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1976 divided by -152.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnsnnnns. What is prob of sequence nsnn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*y = -40. Solve f + f - y = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1697*j**2 - 640*j**2 - 690538*j - 2489 + 690538*j wrt j?\nAnswer: -4674*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76716 is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**3 - 2*l**2 + 2*l + 12. Let k(g) = 10*g**3 - g**2 + 2*g + 14. Let i(r) = 4*k(r) - 3*o(r). What is the second derivative of i(y) wrt y?\nAnswer: 42*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756\/(-6)*(38\/(-4) - -2) is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*24\/228 - 300360\/(-76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/36 and 254\/50*(-110)\/(-1496)?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15217 + 15217.09009. What is s rounded to 3 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/13 - -40\/91. Which is the nearest to 2.8? (a) 2 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4 = 16. Suppose -t = i*t. Suppose t*v = 3*v - 9. Let b(d) = d**3 - 4*d**2 - d + 3. Give b(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-31)\/(-62)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -113, -234, -367, -518, -693, -898?\n\"Answer: -q**3 - 114*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1717057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 11*q + 7. Let a be r(12). Let b(l) = l**3 + 6*l**2 + 5*l + 3. Let i be b(a). Let y(g) = 7*g**2 - 8*g**2 - i - g - 5*g. What is y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 6*o**2 + 3*o + 5. Suppose -23 = -5*n + 117. Suppose 4*h - n = -8. Let b be p(h). Is -3 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -2*b. Suppose 6*a - b*a = -6. Let n be 0*(-2 + (-9)\/a). Which is smaller: n or 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000120638738 to six decimal places.\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5134 and 539206?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 30\/457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 times 5140\nAnswer: -14906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:36 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 + 15*o**2 - 7*o**2.\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/441 and -59\/5481?\nAnswer: 38367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.912 and 0.2.\nAnswer: 8.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3027 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4\/17, -1, 0.5?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 6 (b) 3 (c) -2\/11 (d) 4.1 (e) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-78)*-1)\/((-1)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-2) + (21792\/1536 - 9\/48)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 21*f + 5. Let s be v(6). Let y = -65 - s. What is the remainder when 56 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.634549954 rounded to 5 decimal places?\nAnswer: 0.63455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -258 + 267. Suppose 22*o - v*o = 52. Solve o = -5*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12877*-2.213\nAnswer: -0.28496801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6b6 (base 15) to base 6\nAnswer: 11013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -8 - (-2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478532065.\nAnswer: 3, 5, 199, 830329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.69787 + -8.19787. Let z = 4019\/9500 + -1\/500. Let v = 142\/247 - z. What is the biggest value in 1, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 131*u - 4240. Give y(72).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -87a8a095?\nAnswer: 87a8a095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 1:58 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 772, 1739, 3094, 4837, 6968, 9487?\nAnswer: 12394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/4 + j**3\/3 - j**2\/2 - 4*j - 171. Let t(v) = v**2 - 1. Let n be t(2). What are the prime factors of b(n)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 74*q + 400. What is x(-9)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1580*j**3 - 20532*j**2 - 104*j.\nAnswer: 4*j*(j - 13)*(395*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:20 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4 + 0 - 1 - 4*v. Let s(j) = -6*j**2 - 69*j + 224. Let q be s(-14). Let u(f) = f - 1. What is q*u(c) + 4*d(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 13*z - 5. Let s be a(14). Suppose 0 = 2*l - s + 7. Suppose 15*n = 5*n + 20. Solve -4*f - 4 + 2 = n*m, l = f - m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2 - 2*h - 2. Let z(c) be the second derivative of 41*c**3\/6 + 128*c - 1. Determine k(z(i)).\nAnswer: -82*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 4*j**3 - 2*j**3 - 3*j**3 + 3*j + 4. Suppose -r + 7 = v + v, 3*v - 9 = -2*r. Is z(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*m + 55*m - 5*k + 5, m = -k + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 2, q: 1, y: 1, t: 5, r: 7}. What is prob of sequence qy?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/((sqrt(72)*2)\/sqrt(9)))\/(2*sqrt(245)*-3).\nAnswer: -sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 106 = -5*h + 361, 2*h = 6. What is the greatest common divisor of d and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11321213220 (base 4) in base 14?\nAnswer: 2c3968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3710\/1060)\/(1\/((-4)\/2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6478016.\nAnswer: 2, 127, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**3 - j + 6*j**2 - 8*j - 9. Let w be q(-6). Let z be (-3 - -3) + 3*w. What is the highest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 340 and 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 9. Let x = 56 - y. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56960 is divided by 197?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 445, 38, -369?\n\"Answer: -407*k + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23792708618540.7 and -0.2?\nAnswer: 23792708618540.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 4. Which is the nearest to 6? (a) -2 (b) g (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/116 and -4\/107.\nAnswer: 12412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057882671 rounded to six decimal places?\nAnswer: -0.005788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-35)\/99)\/(-7))\/((15\/18)\/1)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -32*s + 2 - 1\/2*s**4 - s**2 - 128\/3*s**3. What is the second derivative of n(z) wrt z?\nAnswer: -12*z - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18931 and 45144.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 11. Suppose 11 = -5*d + 26. Let z(p) = -p + 5. Suppose -k - 3 = 4. Determine d*r(i) + k*z(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 143*v - 206 = 0. Put -1, -5, v, 0 in descending order.\nAnswer: 0, -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*m**4 - 263*m wrt m.\nAnswer: 1104*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 19\/(-3))\/((-16)\/(-5760)*-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23537119?\nAnswer: 23, 1023353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1514, -5694, -12658, -22412, -34962, -50314, -68474, -89448?\nAnswer: -113242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/7 and 22\/169?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 212 + 157 = 69 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 3*a - 6*a)*(-3*a + 3*a - 2*a**2) + a**2 + 0*a**2 - a**3 + 0*a**2.\nAnswer: 23*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 195387\/73 greater than 2676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**7\/630 + x**5\/60 + x**2. Let h(b) be the third derivative of c(b). Let m(q) = -q + 5. Let s be m(6). Give h(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**6\/12 - 19*t**5\/10 + 99*t**4\/8 - 29*t**3\/6 - 109*t**2 - 144*t - 7662. What is o in s(o) = 0?\nAnswer: -1, 4, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 5. Let t be 5 - (5 - 2 - 6). Suppose -t = -p*j + 12. Solve 0 = j*h + 1 + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 433 in decreasing order.\nAnswer: 433, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.400376 + 2.4. What is o rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2\/7, -2\/9.\nAnswer: -20, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -129*h**4\/7 - 123*h**3\/7 + 6*h**2\/7 = 0.\nAnswer: -1, 0, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:44 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**4\/8 + 115*v**2. Let z(l) = -398*l**2. Give j(z(k)).\nAnswer: 1194*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:18 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*c = -748 + 2060. Suppose -3*a + 156 = 3*z, -2*a - 118 = -2*z - 26. What is the remainder when z is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 296.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 66, -0.883, 1, -5?\nAnswer: -0.883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*l**4 - 92*l.\nAnswer: -1740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 213596806*q - 11405898883350409.\nAnswer: -(q - 106798403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103556*z - 51651*z - 51716*z.\nAnswer: 189*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 + 50458472*n**2 - 50458472*n**2.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13539*o**2 + 27067*o**2 - 13527*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (10 - 7) - 22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1108308171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63836 - 63836 + k**2 - 113*k to z*k + o*k**2 + w and give z.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 104 = 16*b. What is the remainder when 49 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1566 and 1218?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = q - 3*x, -4*x - 179 = -4*q + 413. Let j be q\/(-45)*(-2)\/(4\/3). Is j*(-112)\/20*-1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -375 + 437. Calculate the remainder when 389 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + -2. Let s = -1720 - -1718. Let l be ((-21)\/6 - -3)*10. Sort -2\/7, s, q, l.\nAnswer: l, s, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78800, 172891, 266982, 361073, 455164?\nAnswer: 549255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 62 + 127 = 0. Calculate the least common multiple of 183 and s.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 16*y**2 - 19*y - 34. What is c(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(170) - sqrt(170)*1)*-5)\/(-1*sqrt(250)*-2)*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46150316.28 rounded to the nearest 10000?\nAnswer: 46150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.38635 rounded to 2 dps?\nAnswer: 2.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b5c35 (base 15) in base 8?\nAnswer: 2145764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 360, 361?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 14*b + 21 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 442, 664?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-351)\/(-65) - 4\/10. Suppose 70 = 5*o - 5*f, i*o + 0*f = 4*f + 65. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298\/5 bigger than -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - w**2 + 5*w + 7. Let b = 0 + 4. Let q(c) = 32*c - b - c**3 - 35*c + 2*c**2 - c**2. Give 3*d(p) + 5*q(p).\nAnswer: p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 3. Let l(d) = 2*d - 2. Suppose 5*k - 3*k = -6. Let q(c) = k*l(c) + 2*s(c). Let v(u) = -2*u**2. What is v(q(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*a - 60, 3*p - 3*a - 52 = a. Suppose -3*m - 3*t = 0, m - 5*t = -0*m + p. Solve -4*s + 18 = -m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*h + 4 = -b, 5*h = 2*b - 31. Suppose b*v = 2 + 7. Find the third derivative of 400*l**v - 396*l**3 + 17*l**2 + 2*l**2 wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 - 194. Suppose -8*s + l = -161. Suppose w + 11 = 85. What is the remainder when w is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/60 - q**4\/4 - q**3 + q**2. Calculate the smallest common multiple of 6 and z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8475*s*x**2 + 28487708*s*x + 276*x**2 wrt x?\nAnswer: -16950*s + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.21 - 58. Let h = w + -29.21. Let o = 31 + h. Put 0.5, -10\/9, -5, o in decreasing order.\nAnswer: o, 0.5, -10\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 9, -5*q + 0*i - 24 = -2*i. Let f(x) = -10*x - 2. Let n be f(q). Let s be n\/18 - (-2)\/(-9). Solve 5*j = -s - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2939761, -5879522, -8819283, -11759044, -14698805, -17638566?\n\"Answer: -2939761*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 15. Let u(w) = w + 1. Let d(g) = 2*p(g) + 4*u(g). Let o be d(13). Let m be o\/(0 - -3*4\/(-6)). Is m at most as big as 6\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(475) + (-2*sqrt(57))\/sqrt(3) + 2)*4.\nAnswer: 8 + 92*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/6)\/((3\/(-3))\/(6\/(-6)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2)\/(2\/4). Suppose 0 = m - y, 8 + 14 = b + 5*m. Put 6, b, 0 in descending order.\nAnswer: 6, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 37 + 21 + 16. Let b(u) = 2*u + 149. What is b(p(v))?\nAnswer: -4*v**2 + 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -z + 9. Suppose 3*b + r - 44 = 0, 3*b + 5*r - z = b. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175265 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**3 - h**2 - 5*h - 5. Let x(v) = -v**3 + 4*v**2 + 2*v - 3. Let l be x(4). Let m(b) = 7*b**3 + b**2 + 4*b + 4. What is l*m(q) + 4*y(q)?\nAnswer: 3*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1 - 2 - 14*i + 1. List the prime factors of q(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - 12*a**3 - 9*a + 16*a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/469 + -439\/2345. Let l = 0.2 + -0.3. Which is the third biggest value? (a) o (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 766772 by -4.\nAnswer: -191693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5, n - 2*l = -3*n + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i*y + 389*i + 34*y wrt y?\nAnswer: 3*i + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 26 in increasing order.\nAnswer: -4, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-60)*6)\/((1107\/342)\/41)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12003132 (base 4) in base 2?\nAnswer: -110000011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1386a7 (base 11) in base 12?\nAnswer: -a5329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -1504?\nAnswer: 14ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 25099251 and 1\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20*q**4 - 15*q**3 + 20*q**2 + 15*q. Let m(h) = -h**4 + h**3 + h**2 - h. Let z = 109 - 104. Let y(u) = z*m(u) + c(u). Solve y(t) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3 + 2602*b**2 - b + 661 wrt b.\nAnswer: 6*b**2 + 5204*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express a + a - a in the form o*a + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 15 = 2*m + 3, -4*t - 3*m = 15 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -46\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + (2 - 7)) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*u - 6*r - 4, -4*r + 82 = 3*u. What is the remainder when 273 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*b + 14. Let o be (2 - b) + (-64)\/6. Let v(s) = -2*s**2 + 3*s + 2. Let t be v(3). Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 - -0.06?\nAnswer: -161.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 13*r**2 + r - 12. Calculate a(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x + x + 0*x + 6*x + 3*x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0\/j)\/j)\/j)**14\/(j**(-1))**(-49) assuming j is positive.\nAnswer: j**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 395808 and 4404.\nAnswer: 145261536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let v(z) = 237990096*z**2. Give a(v(y)).\nAnswer: -113278571588178432*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -36. Let q = -4 - g. Suppose 2*b - 5*c = -3*b, -5*b = -c - q. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2606, -10390, -23354, -41498, -64822, -93326?\nAnswer: -127010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -904 - -2649. Suppose 2060 = 5*i - r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let k = -1.92 + r. Let a = -31497\/13 - -2423. What is the closest to 0 in a, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + 0*m)*(5 - 2 + 0) + 112 - 112 - 25*m - 58*m.\nAnswer: -80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + 9 + -4 - (-2 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*m**2 - 214*m**2 - 78*m**2 - 5*m**2 - 257*m**2.\nAnswer: -932*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*v - 3*n + 45, 5*v - 30 = -n. Suppose -v*y = -2*j + 309, 3*j + y - 498 = -3*y. Suppose 5*r + j = 8*r. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*f + 264 = 63*f. Suppose a = -2*x + 16, 7*a = 12*a + 3*x - f. What is the third smallest value in -1\/7, a, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 121, 4, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 2*s**2 + 2*s + 1. Let t be a(-3). Let h be 1\/4 - (-9)\/12. Let p = h - 5. Sort t, 2, p in ascending order.\nAnswer: p, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85037253 divided by 7\nAnswer: -12148179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 28*a + 13*a - 26*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2641*h**2 + 25*h. Let l(u) = -373700*u**2 - 3535*u. Determine 5*l(g) + 707*w(g).\nAnswer: -1313*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33222 divided by -339?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010 (base 14) in base 13?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 14) to base 7\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 845.556 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4080?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152600 and 501200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeaaeeeaaeaea. What is prob of picking 1 e and 1 a?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14132 + -1?\nAnswer: 14131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5))**12 assuming r is positive.\nAnswer: r**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/15, -3, -2\/5, -0.1089, -4 in descending order.\nAnswer: 5, 2\/15, -0.1089, -2\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2300*a + 2285*a + 40260 = 0. What is the remainder when a is divided by 179?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-174)\/(-4) + 3. Let w be (-8)\/6*i\/5. Let l = -21 - w. What is the greatest common factor of l and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/3 + 5*m**4\/24 - 24*m**2. What is the second derivative of p(f) wrt f?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1587458 and 2.051714?\nAnswer: 1587460.051714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(176) + 0)**2.\nAnswer: -32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4526 times 51.9?\nAnswer: 234899.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4729 - -4792) + (-947)\/15 - 106\/(-120)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227431 is divided by 12635.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-6 - 8) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**19*q**(2\/3) assuming q is positive.\nAnswer: q**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.741 and 72.\nAnswer: 71.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -90, -160, -240, -324, -406, -480, -540?\n\"Answer: n**3 - 14*n**2 - 19*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*u + 112, -u + 2*f + f = -51. Is u less than or equal to 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 127 in -1\/3, 8.69, -677?\nAnswer: 8.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -15 + (25 + -6 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8*2*((-42)\/(-9))\/(-14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-2*sqrt(63)) + (sqrt(11) - -3*sqrt(77)\/sqrt(7))*-2.\nAnswer: -49*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.3 - 4.2428. Let g = 0.00652 - 0.05933. Let a = r + g. Round a to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 1 - 4. Suppose 4*x - 180 = -4*o, 5*o + s*x = -0*o + 223. Let z = o + -6. Calculate the remainder when z is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 8. Suppose 2973 = 3*x + 660. Suppose p*k = 10*k - x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.3 + 5. Let l = -8 + 5. Suppose -7 = -5*t - d, 3*t + 44*d - 49*d - 21 = 0. Which is the third biggest value? (a) l (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 904 = 3*a - 5810. Are a and 2237 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2577, 5, -2\/15 in decreasing order.\nAnswer: 2577, 5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p**2 + 117*p - 157. Calculate a(14).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 0, 5, -670\/11, 34, 2 in increasing order.\nAnswer: -670\/11, 0, 0.15, 2, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-56)*(1 - 44\/52)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-3) - (932\/(-3961))\/((-6)\/17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1299316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.8 - 18.8. Sort -0.03, 5\/6, p.\nAnswer: -0.03, p, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -965\/11 (b) -2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 + (0\/(-2) - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5, 0 = -3*g + 2*c + 1 + 4. Put g, -1, 4 in descending order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61237?\nAnswer: 11, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1036476 and 7938.\nAnswer: 7255332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((sqrt(11) - (3*sqrt(88))\/sqrt(8))**2 + -3 - (5 + sqrt(704))*-3).\nAnswer: 224 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830169361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - 3*u)*(3*u**4 - 2*u**4 - 3*u**4) - 3*u**5 + 1 - 1.\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13313*c - 59*c**2 + 57*c**2 - 2324*c to the form p + m*c + i*c**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 0\/(-3) - 1. Suppose -3*f = -5*x + a*f + 10, 4*x - 14 = 2*f. Solve -2 = -4*q + r, 2 = 5*q - x*r - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 63. Let z be c(13). Calculate the greatest common divisor of z and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 27. Let p(i) = 2*i + 18. Suppose -7 = -4*z + 5*z. Let q(y) = z*p(y) + 5*k(y). Calculate the least common multiple of q(-6) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42618 <= 42654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.8 - -33. Let v = -5 - h. Suppose -120 = -8*r - 2*r. Sort v, -2, r.\nAnswer: -2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306676 is divided by 1351?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/6 - -17\/18. Let t(d) be the first derivative of 2 + 0*d + z*d**3 - 1\/6*d**2. Factor t(f).\nAnswer: f*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*a = -0*a + 20, -3*z - 14 = -5*a. Let k = z - -7. Let y(i) = 3*i**2 + 3*i + 2. Let c be y(-1). Solve 0*v = -c*v - k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00123 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27141.\nAnswer: 3, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -0.1. What is the nearest to -1 in x, 1\/7, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2490)\/(-1494))\/(4\/(-3))*(-144)\/(-420)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 3\/1949324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = 15. Let y = -7 + 9. Let f(p) = -y*p**2 - p**q - 6*p**2 + 5*p**2. Let m(l) = -2*l. Give m(f(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 636, 958, 1280?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 + 9552*p**3 + 1201968*p**2 + 4693120*p + 4654848 = 0. Calculate p.\nAnswer: -116, -2, 2508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - -7 - (643 + -582).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 16861 - 16861 - 31444*f in the form q*f + v and give q.\nAnswer: -31444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9976 - -9975.4. What is the third biggest value in z, 0.086, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57\/38*12\/9. Solve -w*t + 20 = 2*t, -2*h + 3*t - 11 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -155, 3, -21, -0.254, 0.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-3 - (7 - (2 - 2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 0, -1, -5 in decreasing order.\nAnswer: 0, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/465354061?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.049197 and -0.1.\nAnswer: -0.0049197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 55, 0.4, 3, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/66584640 and -7\/16130.\nAnswer: 66584640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r. Determine j(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2548 and 224.\nAnswer: 20384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 4*o + 3. Let d(v) = v**2 - v - 1. Let p(t) = 4*d(t) - g(t). What is the remainder when 35 is divided by p(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.0137.\nAnswer: 0.0548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5 - 3022*f**4 - 2280097*f**3 + 4569264*f**2 - 2286144*f = 0. Calculate f.\nAnswer: -1512, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.64 - -5.14. Which is the nearest to -2? (a) j (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 29 = -p, 3*i = 5*i + 2*p + 2. Let j be 0\/i - (2400 - 0). Let w be (24\/15)\/(2\/j). Round w to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*y, -4*z + 1 = -4*y + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 24. Let i be p(5). Suppose 2 = i*m - 2. Does 4 divide m + 21 - (1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14156, 27659, 41180, 54725, 68300, 81911, 95564?\n\"Answer: v**3 + 3*v**2 + 13487*v + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 31*d**2 + 12*d + 359. Let v be c(-31). Let f(r) = 2*r**3 - 7*r - 2. Let m(k) = -k**3 + 3*k + 1. Determine v*m(l) - 6*f(l).\nAnswer: l**3 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*r**4 + 64*r?\nAnswer: 876*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 949058 divided by -1969\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1058 - 1040. Suppose -2*h = -0*h - 4. Suppose -4*b - 4 = -r, r = -r - h*b + 28. What is the smallest common multiple of z and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 545978, 1092088, 1638198, 2184308, 2730418?\nAnswer: 3276528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 24702 (b) 2 (c) 1\/10 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237144 and 80.\nAnswer: 2371440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (-17 + 9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + (3 + -2 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -25*v - 2. Let s be h(4). Let y = -14 - s. Suppose -4*a + y = -2*a. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 - 5*y**3\/2 + 17*y**2\/2 - 3*y. Let b be s(14). Suppose b*r - 595 = -r - g, g = -5. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + m + 0*m)*(-3 + 0 + 1) + 5948 + m - 4*m - 5925 in the form a*m + w and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)\/((-2)\/(-12)). Let j(w) be the third derivative of -w**4\/24 + 21*w**2. Let r(h) = h**2 + h - 5. Let q(l) = 2*j(l) - r(l). Give q(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 1869 - 2564 = 0. Calculate the greatest common factor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 27 + 4 = -g, 3*g = 3*o - 111. Let s = -34 - g. Suppose -6 + 0 = -2*w, -q + 4*w + 30 = s. Calculate the greatest common factor of q and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-318)*20\/((-120)\/(-18))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j + 1 - j**2 - 2 + 10. Suppose -5*m + x = -44 + 4, 0 = 3*m + 3*x - 24. Let n be t(m). Is n bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68549553 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8963024 and 1106.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pey when three letters picked without replacement from eeeppyeeeyeyeyee?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38042*j**2*m**2*s + 121037654*j**2*m**2 - 866*m**2*s wrt s.\nAnswer: 38042*j**2*m**2 - 866*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851521.8 litres to millilitres.\nAnswer: 851521800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyypylqywp. What is prob of sequence ylw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/574356 and 81\/736.\nAnswer: 4594848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2116*s**4 - 2484*s**3 - 384*s**2 - 16*s.\nAnswer: -4*s*(s + 1)*(23*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4))**(18\/13))**(-10)*(y\/y**(5\/6))\/(y\/(y*y**4))*(y*y**(-1\/9))\/(y*y\/y**(-1\/2)) assuming y is positive.\nAnswer: y**(6779\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 3 + 0)*(l**4 - 2*l**4 + 2*l**4)*(0 + 2 - 6 - 5 + 4 + 0 - 4 + 3 + 0 + (1 - 3 + 0)*(1 + 1 - 1) + 0 - 1 + 2).\nAnswer: 182*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-35)*5\/4)\/(546\/10920).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 4\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:15 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k**3 - 1423*k**2 + 33*k + 4549. Let l(f) = 5*f**3 - 475*f**2 + 12*f + 1516. Let z(p) = -4*i(p) + 11*l(p). What is the derivative of z(r) wrt r?\nAnswer: -3*r**2 + 934*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*r + 222, 0 = 4*r - 0*r - 4*m - 420. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11361060 + 122?\nAnswer: -11360635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 210875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4401*u = 4408*u - 11627. List the prime factors of u.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6183, 6345, 6601, 6945, 7371, 7873, 8445?\n\"Answer: -w**3 + 53*w**2 + 10*w + 6121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, 3, -2, 0.3, -5597 in increasing order.\nAnswer: -5597, -2, 0.3, 0.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 152.17.\nAnswer: 128.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318975774*b*t + 291812468*t wrt b.\nAnswer: -318975774*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 3 + 2*j)*(-5 - 5 + 6)*(2*j + 0*j - 4*j)*(5 - 3 - 4)*(-149 - 26 - 670) in the form i*j**2 + k*j + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14591*x + 560232?\nAnswer: -14591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z + 14*z + 18*z + 12*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) - sqrt(1700)) + sqrt(51)\/sqrt(3) + 3.\nAnswer: 3 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsz when three letters picked without replacement from {q: 3, s: 1, z: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let m(u) = -45*u**2 - 21. Let i(x) = -9*x**2 - 4. Let t(j) = 21*i(j) - 4*m(j). Give t(v(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6727556 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22980 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*l + 159*l - 399*l + 4*l**2 + 142*l as u*l**2 + g*l + k and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - h**4 + 2)*(-1 - 3 + 3) + 2*h**4 + 2*h**4 - 6*h**4 + (h + h - 3*h - h**4)*(6 + 23 - 1) in the form k*h**2 + f*h + j + c*h**3 + u*h**4 and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (72\/16)\/((-3)\/(-78)). Suppose -2*m = -4*m + 26. What is the highest common divisor of a and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/6 - (-6)\/9. Let s = r + -3. Let d(w) = -w**2 + 8*w - 2. Is d(s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h**3\/5 + 3017*h**2\/5 - 8434*h\/5 + 5408\/5.\nAnswer: (h - 1)*(h + 338)*(9*h - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 2*t**2 - t**2)*(17*t + 28*t + 10*t).\nAnswer: 165*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 61. Let d(v) be the third derivative of -v**4\/6 - 197*v**2 - 3. What is d(w(t))?\nAnswer: -8*t - 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9174098 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 47874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21409 + -12786. Does 55 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 402550 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((513\/18 - 26) + (-3)\/1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168825, 338633, 508441, 678249, 848057, 1017865?\nAnswer: 1187673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1987\/187875 or 1?\nAnswer: -1987\/187875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.3 and -4.780786?\nAnswer: 8.080786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 105036699 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17961, -18012, -18081, -18174, -18297, -18456, -18657?\nAnswer: -18906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**4\/4 - 3*y**3\/2 - 9*y**2\/2 - 17*y. Let g(u) = u + 1. Calculate 18*g(c) + 2*m(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.1 + -9.6. Let w = o - 30.76. What is w rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3075, 2, -5?\nAnswer: 3075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (61\/(-8052)*-99)\/(-36)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10466, 20945, 31434, 41939, 52466, 63021?\n\"Answer: n**3 - n**2 + 10475*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9407*v**2 + 6067*v wrt v?\nAnswer: 18814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62961*m**2 + 48513*m**2 + 222403*m**2 + 91752*m**2.\nAnswer: 299707*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147)*2 - sqrt(147)) + -1*(sqrt(147) - (sqrt(147) - (1 + sqrt(147)))) + (-5 + sqrt(147) + 2 + sqrt(147) + 0)**2.\nAnswer: -84*sqrt(3) + 596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5918652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 5*x + b, 5*x + 2*b - 20 = 0. Suppose x*p = -4*y + 24, -p - p + 8 = 0. Let w = 2\/97 - -89\/388. Put w, -0.06, y, -5 in decreasing order.\nAnswer: y, w, -0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326641194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.12, -216056, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682551589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1569\/5565 - 3*106\/(-1113))*10.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:04 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 50 - 39)*(-2 - 1 + 9*u + 4).\nAnswer: -1071*u - 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1127 divided by 5342\nAnswer: -1127\/5342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -69. Suppose -9*r - y*r + 21 - 3661*r**2 + 3662*r**2 = 0. Calculate r.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1593\/70 - -313\/14. Let s be 30\/(-70)*3*(-2)\/(-9). Let p = 8 - 4. What is the biggest value in s, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1454 (b) 5 (c) -0.3 (d) 0.2 (e) -10 (f) 162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 s when three letters picked without replacement from {q: 1, t: 1, w: 1, p: 1, s: 2, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.0912\nAnswer: 0.1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-7)*h)*h*(((h*h**(-19))\/h)\/h)\/h)\/(((h*h**(2\/27)\/h*h)\/h)\/(h**0*h)) assuming h is positive.\nAnswer: h**(-353\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68448 and 83700.\nAnswer: 15400800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.1. What is the closest to -0.2 in u, 3, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + t. Let s be (-2)\/8 - (-258)\/(-24). Let p = -10 - s. Determine q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (28 + -24 + -14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**2 + 5. Let q(k) = 69*k. Let a(n) = -2*q(n) + 66*t(n). Let x(r) = r. What is a(x(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 51*v**2 + 5*v + 5. Let m(n) = 434*n**2 + 42*n + 42. Let b(z) = -42*f(z) + 5*m(z). Let g(d) = d. Determine g(b(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43863483 and 387?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -168 times -0.117\nAnswer: 19.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 4, -340 in descending order.\nAnswer: 4, 3, 2, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/(g**1\/g))\/(g**(-1))**(-3\/19))**27 assuming g is positive.\nAnswer: g**(-1620\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 175, 293, 435, 607, 815?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 5*x + 3*x)*(2 - 2 + 3) - 2*x - 2*x + 2*x to y + z*x and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**4\/5 - 66*k**3\/5 + 506*k**2\/5 + 714*k\/5 - 1156\/5 = 0.\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (247\/((-116090)\/(-2068)))\/(28\/40*4)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3*s**4\/4 - 11*s**3\/3 + 17*s**2\/2 - 20*s - 50. Is u(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**2 - 4*u - 1. Let b(d) = -d. Determine 3*b(q) - m(q).\nAnswer: -6*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 289835891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyycyyvuyvyycy. What is prob of sequence yc?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/90 and 85\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9367.06 * 0.4\nAnswer: -3746.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*k**2*o*p**3 + 2*k*o**2 - 2*o**2*p + o**2 - 2*p**3 wrt k.\nAnswer: -114*k*o*p**3 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67666 by -1471.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/6 - 8\/12. Is 0 + (21 - (-2)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 48*s - 56. What are the prime factors of f(12)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2 + u + 6. Let w(g) = -17*g + 6*g + 5 - 4*g**2 + 12*g. Let d = -8 - -5. What is d*f(i) + 4*w(i)?\nAnswer: -i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**3 + 135*k**2 + 4857*k + 2394.\nAnswer: -3*(k - 42)*(k + 19)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3084750596.99999972 - -3084750665. Let y = m - 68. What is y rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000198475452 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376157148 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + i - i + i**3 + i to the form l + c*i**2 + a*i**3 + t*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.428 (b) -5\/2 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 240511 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hehhee. What is prob of sequence hhh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-7))\/((-1)\/2). What is the highest common factor of k and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.3 (c) -32 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**2 + 3*j**3 - 8*j**3 + 4*j**2 - j**2 - 14*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 41*f**2 + 58*f - 68. Let x be d(-33). What is x rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -112. Let o(j) = -j**2 + 1. Let u(a) = -a**3 - 2*a**2 - 3*a + 188. Let m(v) = x*u(v) - 3*o(v). Is 37 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/6)*h*h*h*h**(-1)\/h)**(-2\/19)*(h**(-7)\/(h**(3\/7)\/h))**(-29) assuming h is positive.\nAnswer: h**(74294\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from {t: 8, o: 1, e: 1, p: 1, z: 2, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 11, z: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y**2 + y**3 + 20*y**2 + 19*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1.69?\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2 + b + 2 - 6*b + 6*b. Let x(h) = 27*h**2. Calculate x(s(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 19*j**2 + 13*j - 5. Let r(t) = t**2 + 2. Let x(s) = -h(s) + 4*r(s). Determine x(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571584 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*1*-4. Find the common denominator of 9\/(-10) + h - -2 and 43\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 1 + 0)*(4 - 3 - 2)*(-3*k**3 + 3*k**3 - k**4 + (0*k + k + 0*k)*(-26*k + 26*k + 10*k**3)).\nAnswer: -90*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1434.2299 - 1434. Is p equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1. Let t be 4 + (1\/(-1) - -2). Suppose -t*g - 8 + 3 = 0. Let i be (-1)\/3 + (-13)\/(-3). Let s(y) = 2*y - 5. Give g*s(a) + i*w(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqqquwqqqxudexqqqud. Give prob of picking 1 d and 1 u.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7178 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/((y*y**(-4\/13))\/y))*y**(-15)*y assuming y is positive.\nAnswer: y**(-186\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -5571?\nAnswer: 5573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let h be 2003312 - ((1 - 2) + d). Suppose -h = v + 296689. Round v to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 706\/9? (a) 3\/8 (b) -0.8 (c) 1.8 (d) 96\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + (1 - -1))*1. Let q be (-6)\/2 - ((-176)\/40 - a). Let x = -0.1 - -2.1. What is the second biggest value in x, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118240 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17566.275 - 12.725. Let u = -17615.9985 - l. Let k = -37 - u. Round k to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2\/4)\/1 - (-3)\/2 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2014, 2018, 2024, 2032?\nAnswer: 2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.127? (a) -2\/7 (b) 4 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-432*u + 18 + 60 + 430*u)*(-2*u + 6*u - 3*u) to the form g + n*u**2 + h*u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34766839 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 934778 divided by 4?\nAnswer: 467389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 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: Put 0.39, -4\/5, 3, 5\/8 in descending order.\nAnswer: 3, 5\/8, 0.39, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-54)\/15)\/((-4)\/(-3)). Suppose 5*s + 2 = -2*p, -41*s - p = -40*s - 2. Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*r**3 - 3000*r**3 + 708*r**3 + 785*r**3 + 756*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7372, 35\/3, -1\/2, -4 in descending order.\nAnswer: 35\/3, -1\/2, -4, -7372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -38.4. Let z = 4 - t. Suppose 0 = -0*s - 2*s + 4. What is the second smallest value in s, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 7*x + 9. Suppose 5*j = 15, -2*y + 3*j + 3 = -5*y. Let d(g) = -8*g**2 - 21*g + 27. Let l(m) = y*d(m) + 11*f(m). Is 3 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 37 = 3*y - 10, 33 = -16287*y + 16284*y + 3*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58357, -116717, -175077, -233437?\n\"Answer: -58360*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 - 881 = -2*s + 5*j, 4*s + j - 1351 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4))**(-50)\/(i**3)**(15\/8) assuming i is positive.\nAnswer: i**(1155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4981256 to the nearest integer?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {f: 5, x: 1, q: 3}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 366614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 135\/21) + 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - d**3 + d**2 - 4*d**3 - 3*d**3 + 2*d**3 + (0*d + 4*d - 3*d)*(4 - 4 - d**2) + (0*d + 0*d + d)*(5*d**2 - 4*d**2 - 10*d**2).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 39. Let s = -20 - v. Let i = -9 - -17. Solve 4*m = -s*m - i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1347 divide 2572770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 + (0 - 3) + -6. Let z be (22\/y)\/(-4*1\/16). Calculate the highest common factor of z and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 - -191. Suppose 2*d - 2054 = -2*c, 2564 - 506 = r*c + d. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -148, -773, -1816, -3271, -5132, -7393, -10048, -13091?\n\"Answer: g**3 - 215*g**2 + 13*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 + (-3 + 4 - -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529105 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*a**5 - 366*a**3*i**2 + 2*a*i**2 - 374*a + 2 wrt a?\nAnswer: -240*a**3 - 2196*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2704463, -2704420, -2704315, -2704118, -2703799, -2703328?\n\"Answer: 5*a**3 + a**2 + 5*a - 2704474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8189 divided by 8836.\nAnswer: 8189\/8836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 580 + -576. Solve -2*l + 4 = -2*h, 3*l - b*h = -2*l + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9246725 and 2.\nAnswer: 18493450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l - 3. Let g be d(6). Let y = 68 - g. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/88 and 75\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50547 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -2)*4.\nAnswer: -8 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 340200?\nAnswer: 340187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 147377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4504.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = 5. Let n(k) = -k + 3. Let c be n(6). Let a = p - c. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 11*h**2 + 22*h + 1. Let m be v(6). Is m > -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m = -4*f - 37*m + 327, -m = -5*f + 402. Suppose -2*l = -f + 61. What is the greatest common factor of 410 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111892 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, -7 in descending order.\nAnswer: 5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -8, 26, 116, 280, 536?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93.2 + -13.2. Let m = -86.1 + l. Round m to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 523125?\nAnswer: -31387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9248 = -457*t - 6019 + 8653 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 5 - (2 - -2). Sort 5, -2, -3, m in decreasing order.\nAnswer: 5, -2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - d. Let y(b) = 1477*b**2 + 211*b. What is -211*v(i) - y(i)?\nAnswer: -1055*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 20*g**2 + 51*g - 24. Give x(-17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8 - 15 + 0)*(2 + 1 - 2) + 0 + 6 - 4)*(-7*p**5 + 2*p**5 + 0*p**5).\nAnswer: 105*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 7 = 7*p. Suppose p*t - 88 = -22. Suppose 6 = c + 3*d, -4*c + t + 26 = -d. Calculate the highest common divisor of c and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -30, 344*o + 2*v + 27 = 347*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 38*c - 257. Determine o(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*27\/6*(-30)\/45?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 68*q - 66.\nAnswer: -2*(q + 1)*(q + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-2.05899.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/109, 2\/7, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*y**3 + y - 3039 + 3037 + 203*y**3 in the form g*y**2 + h + p*y**3 + d*y and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/84)\/((-4944)\/1442)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000153198 to six decimal places.\nAnswer: 0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let f(l) = 332031*l + 1. Calculate f(q(m)).\nAnswer: 664062*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10605, -0.24, -1\/4 in ascending order.\nAnswer: -10605, -1\/4, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 4*y - 5*y)*(1 - 6 + 4) + y + y + 0*y - 3 + 3 - 2*y + 0*y - 3*y + 2*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 41, -12, -75, -142, -207, -264, -307?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/366894381 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 35 = -2*k. Let x(q) = -q**3 - 10*q**2. Suppose 0 = -b - 2*b - 3, 5*d - 2*b + 48 = 0. Let g be x(d). Solve -3*m - 2 - k = g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188760 divided by 605\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 11*p**8\/168 - 5*p**4\/6 + p**2 - 18*p. What is the second derivative of t(m) wrt m?\nAnswer: 440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2420*g = 36*g + 239*g + 109395 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -7*d**6\/120 - d**3 - 6*d**2. Differentiate y(g) wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1086 and ((361 - 0) + 1)\/(443 - 441)?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/20 and -97\/4750.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -10 - 9*r - 27*r + 50*r - r**2. Let m be u(15). Let h = m + 30. Solve 5*v = 4*x - 15, -3*x + h = -4*v - 7 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 10:20 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34240, -68373, -102496, -136603, -170688?\n\"Answer: z**3 - z**2 - 34137*z - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -29.\nAnswer: -51\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/120 - s**4\/4 + 5*s**3\/3 - 7*s**2. Is r(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1682 - 1698. Let n(t) = 10*t. Let p(y) be the third derivative of 0*y + 0*y**3 - 1\/8*y**4 - y**2 + 0. Calculate x*p(f) - 5*n(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*o + 2476 - 1909 = 5559 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408849981?\nAnswer: 3, 8929, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, u: 3, f: 6, w: 3}. What is prob of picking 1 r and 2 u?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 0 - 2*(0 + -1). Suppose 0*h = -p*h + 120. Suppose 4*m + 5*m = 36. Solve -4*q + 4*g + h = 0, -5*q + m*g - 2*g = -27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 21, 25, 31?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555 divided by 14368.\nAnswer: 555\/14368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -68. Let u = 27.9 - x. Let y be 186\/21 - (-63)\/(49\/(-7)). Which is the second biggest value? (a) -5 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 9*i - 4. Let r be h(11). Let j = r - -49. List the prime factors of j\/1 + -1*3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, 4, -22, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*z**3 + 104 - 106 + 64*z**3.\nAnswer: 139*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**3\/5 + 4953*m**2\/5 - 2041872*m\/5 - 2046828\/5 = 0.\nAnswer: -1, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-27)\/r)\/r**(-8) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22340 equal to 22341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 45 = -5*h, -57 = -0*i - 3*i - 4*h. Calculate the remainder when 59 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3488 is divided by 341.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 44 = -5*d, -2*v = 3*d - 27 - 2. Let l be d\/((-12 - -4)\/(-2)). Let c = -2 + 2. Is l != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/(-2) - (-1 + 1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -342740 to the nearest 1000.\nAnswer: -343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -10)\/(15\/(-775)). Suppose -27*p = -o - 669. What is the greatest common divisor of p and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 85.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 + 1)\/1)\/1. Let f = -21762 - -21768. Solve b + f = -w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/91 and 43\/14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 108*n**2 + 2097*n + 5. Let t(h) = 173*h**2 + 3145*h + 8. Determine 5*t(v) - 8*u(v).\nAnswer: v**2 - 1051*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-11 - -6) + 4 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + -2. Let u(b) = 18*b + 13 - 22 - 21*b. What is the units digit of u(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = 22*k + 54*k - 1176 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/65*832\/(-2112)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/11))**19\/(c*c**(2\/13)*c*c**(-2)) assuming c is positive.\nAnswer: c**(3189\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - g + 3*g - 5*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 3 + 16*y - 22*y - 3.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2818 = 2*l + 472, 2*l - 3294 = -4*q. Calculate the remainder when q is divided by 109.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3 + 10*m + 3 - 4. List the prime factors of n(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2 + 188*x + 3416 = 0.\nAnswer: -14, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 7*m. Let g be (1\/2)\/(5\/30). Let j(z) = 17 + 21*z + 6*z**g - 17 + z. What is -7*c(b) - 2*j(b)?\nAnswer: 2*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/69? (a) -1 (b) -0.4 (c) 2245\/86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keee when four letters picked without replacement from ekkeejjj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from cccuxuhccuu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16)\/(u*u**(2\/19)\/u) assuming u is positive.\nAnswer: u**(-306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 11, i: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:31 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -x + y, 5*y - 400 = -5*x - 0*y. Calculate the common denominator of 18 - 17 - (-22)\/(-18) and ((-1)\/(-4 - 0))\/((-1)\/x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 minutes before 1:45 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -17 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 1. Let i = s + 5. Sort -3, 1, i in descending order.\nAnswer: 1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 648*d**2 - 2 - 468*d**2.\nAnswer: -1116*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0889 or -2.878?\nAnswer: 0.0889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1500 in -1\/5, -0.06, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 4*i**2 - 5*i - 4. Let s be j(-5). Let g be s\/8 + 1\/4. Calculate the remainder when (-1 - 0) + 20 + g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1691*t**4 + t**3 + 2*t**2 + 49*t + 22558348 wrt t.\nAnswer: -6764*t**3 + 3*t**2 + 4*t + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5974617 divided by -13189\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 7 - (-49 + 50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 + 3*f + 2 + (1 + 3 - 3)*(15*f - 2*f + 0*f) + (2*f + 115 - 115)*(-3 - 1 + 2) as u + m*f and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h**2 - 6*h - 10. Let p(c) = -3*c**2 - 2*c - 3. Give -2*m(f) + 7*p(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -888987*m - 1777978. Calculate k(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -84*o - 328. Let d be i(-12). Let f(t) = -680*t + 30*t**2 + d*t. Let v(b) = -14*b**2. What is v(f(c))?\nAnswer: -12600*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 25 = -0, 2*p - 4*z - 364 = 0. Calculate the remainder when p is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33703 divided by 11.\nAnswer: 33703\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 700812198*a**2*n**3 - 8*a*n**3 - 151*a*n**2 - 66253*n**3 wrt a?\nAnswer: 1401624396*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, o: 9}. What is prob of picking 3 o?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26786 + -26747. Let f(w) be the first derivative of 7\/6*w**2 + 2\/3*w - 4\/9*w**3 - y. Factor f(q).\nAnswer: -(q - 2)*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51140.1 times 0.1?\nAnswer: 5114.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.7262 meters to millimeters.\nAnswer: 199726.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:34 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1580 - -1582. Let x be ((-10)\/8)\/((-1)\/4). Solve x*t + 8 = -p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-894330)\/(-456))\/(-523))\/((-3)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -1198?\nAnswer: 1197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/7199 or -973?\nAnswer: 4\/7199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*g + 22, 0*g = 2*g - 10. Let i be (q + -3)\/((-4)\/2). Suppose 0 = -2*z - i*z + 42. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + s - 200 - 1744, -5*s = 3*d - 2916. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erg when three letters picked without replacement from ezgggrggzgzzggf?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52422 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: Is 12685 - ((-19)\/76 + 301\/(-28)) a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukkujukkkkwuskjuuk. What is prob of sequence kjj?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, -6, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -154854 divided by -126?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-27) - (11\/3 - 3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-10)*((-10)\/(-4))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-2)\/(-2) - 0). Suppose r*k + 1140000 = -2*k. Round k to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12034100 rounded to the nearest one hundred thousand?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 27 = 3*u + 3. Let w(x) = -5*x**3 - 8*x**2 + 3*x. Let k(i) = -9*i**3 - 15*i**2 + 5*i. Give u*k(b) + 5*w(b).\nAnswer: 2*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Suppose -4*u = -0*u + 8. Let i(k) = 5*k. Let q(m) = u*i(m) - 9*y(m). Let z(j) = 6*j. Let h = -1595 + 1592. What is h*z(t) - 16*q(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 greater than or equal to 279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 4*z - 245. What is the nearest to 2\/5 in 11, z, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24964 is divided by 8212.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58325 + 11?\nAnswer: -58314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)\/sqrt(3) - sqrt(49))\/sqrt(7) - (1*sqrt(28))\/sqrt(4))*5)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*s + 24, s - 2 = -3*w - 17. Suppose 30 = -2*m - 0. Is 7 a factor of (w\/(-4))\/(m\/(-140))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/12 + 15*j**4\/8 + 20*j**3\/3 + 2*j**2 - 84. Factor b(o).\nAnswer: 5*(o + 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14\/o)\/(o*o**(2\/19))*(o\/(o\/o**(-11)))\/(o*o**12) assuming o is positive.\nAnswer: o**(-230\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4721269 is divided by 205272.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -59*v - 19 - 60*v + 117*v. Calculate the remainder when o(-13) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -1643352?\nAnswer: -1643406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/658597 and -41\/95.\nAnswer: 3292985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/5 - 172*o**3\/5 + 3046*o**2\/5 + 2452*o\/5 - 134688\/5 = 0 for o.\nAnswer: -6, 8, 23, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x - 5. Suppose -108 = 4*v - 112. Let z(a) = -11*a + 11. Let h(u) = 7*u - 7. Let d(k) = -8*h(k) - 5*z(k). Calculate v*g(b) + 5*d(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -405736*s - 4 + 411919*s + 4 + 1777*s**2 wrt s?\nAnswer: 3554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbombmbtooobpoto. Give prob of picking 1 b and 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-261)\/870)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-1)\/(3\/63). List the prime factors of c\/8*4\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from yxjyyyjxxx?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 8 (b) -38 (c) -3 (d) -0.5 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 1517886.\nAnswer: 39465036","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1132?\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 600, 988, 1524, 2202, 3016, 3960?\nAnswer: 5028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95a218 (base 12) in base 13?\nAnswer: 6486c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -33*h - 968. Determine d(-31).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24170 is divided by 24136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2017926, -4035857, -6053788, -8071719, -10089650?\n\"Answer: -2017931*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80767559.\nAnswer: 23, 37, 107, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -265*b**3 + b + 276*b**3 + 2*b to j*b**2 + i*b**3 + r*b + o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87213 * -1228.\nAnswer: 107097564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0*h**2 + 0*h**2 - 2*h**3 + 3*h - 2*h**2 - 2. Let a be m(3). Let p = -1103\/17 - a. Is p less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 5*s**3 - 405*s**2 - 405*s.\nAnswer: 5*s*(s - 9)*(s + 1)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*q + 4592 = 142*q + 209*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 410 - 10252\/25. What is the smallest value in l, 0.2, 1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 + 11722*k**3 - 23436*k**2 - 46888*k + 93760 = 0. Calculate k.\nAnswer: -2, 2, 11720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 3*v**7\/7 - 1724*v**5\/5 - v**3\/3 + 3*v**2 + 36*v + 6146. Find the third derivative of g(q) wrt q.\nAnswer: 360*q**3 - 41376*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 9*o + 3. Let k be y(3). Let l(n) be the first derivative of 0*n**2 + 1 - 5*n + 0*n**k - 5\/4*n**4. Differentiate l(w) with respect to w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039233.859 rounded to the nearest ten thousand?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*c - 15, -74*c = -77*c + 4*s - 9. Let m = -0.8 - -0.5. What is the nearest to m in c, 4\/5, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 7*a**2 - 8*a + 4. Let k be r(8). Let o be (-1)\/(0 - 2\/k). What is the closest to -2\/5 in -2\/13, 2\/7, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197021713 to the power of 1\/3, to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxx when four letters picked without replacement from {o: 12, x: 7}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -30219.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0629649 times -478?\nAnswer: 30.0972222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let k be j(-2). Suppose 0 = -r - 5*n - k, 5*r - 2*n + 5*n - 2 = 0. What is the biggest value in r, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) 1\/4 (b) -228 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkh when three letters picked without replacement from {q: 2, f: 1, k: 1, v: 1, y: 1, h: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.29216 to two decimal places.\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**3\/7 - 3*g**2\/14 + 6*g\/7 + 6. Let o(z) = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138597 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 20 = 2*h - 15*f, -2*h + 16 = 4*f. What are the prime factors of h + 1182 + -5 + (4 - -3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/7 - 54*f\/7 + 51\/7.\nAnswer: 3*(f - 17)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2. Let o(i) be the third derivative of -7*i**4\/2 + 2*i**3\/3 - 5312*i**2. Determine f(o(d)).\nAnswer: 21168*d**2 - 2016*d + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386 = 9*v - 3*v. Let h = v - -154. Round h to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/7))**(1\/5)\/(h**(2\/37))**(2\/47) assuming h is positive.\nAnswer: h**(1599\/60865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -22*f - 30*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/10)*o*o**(4\/3)*o**(7\/4)\/o**(-5)*((o*(o**(-1)\/o)\/o)\/o)**(4\/15)*(o*o**(2\/5))**(5\/4) assuming o is positive.\nAnswer: o**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v + 2. Let p(s) = 4*s - 22 - 27 - 27 + 77. What is 3*m(d) - 5*p(d)?\nAnswer: 7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -24884603, -1 in descending order.\nAnswer: 0.4, -1, -24884603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1116 + -241. Let w = -548 - o. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4480, 18598, 42352, 75742, 118768, 171430, 233728?\n\"Answer: 4818*s**2 - 336*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-3 - sqrt(19)) + sqrt(19) + (sqrt(57)\/sqrt(3))**2*-3.\nAnswer: -36*sqrt(19) - 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/25 - 88\/1100\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -390.43?\nAnswer: -390.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -28 + (-1 - (1 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y + 2*k, 3*k = -364*y + 366*y + 6. Solve y*o - 9 = -5*t - 28, -4*o - 17 = 5*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113.1 - -118. Let d = s + -5. Which is the closest to -1? (a) d (b) 1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0 - 1\/20*i**5 - 19\/12*i**4 - 23\/2*i**2 - 1\/3*i**3 - 9*i. Let j be c(-19). What is the highest common divisor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m + 7 + 18 - 26.\nAnswer: 35*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21342, -20928, -20528, -20148, -19794, -19472, -19188, -18948?\n\"Answer: -n**3 - n**2 + 424*n - 21764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87637, -175269, -262917, -350593, -438309, -526077, -613909?\n\"Answer: -2*g**3 + 4*g**2 - 87630*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-15) - (-40 + 43).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 - 3)*(0 + 3 + 7)*(2*i**3 - 6*i**3 + i**3).\nAnswer: -180*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**5\/60 + 5*t**3\/3 + t**2. Let j = 115 - 89. Let v be j\/(-6) + 1\/3 - -4. Calculate h(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 13*m + 12. Let u be r(-12). Suppose u + 35 = g. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -717 from 0.4.\nAnswer: 717.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610403*3.5.\nAnswer: -2136410.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*q + 259*q + 123462000 = 0. Round q to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29471943*f + 14591274?\nAnswer: 29471943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -6\/17 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151*z**5 + 7*z - 3 wrt z?\nAnswer: -3020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 548 and 269068.\nAnswer: 269068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -4.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -9*v - 105. What is the first derivative of -108 - 58 + 32 + v*q**2 + 30 wrt q?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.5668 litres in millilitres?\nAnswer: 133566.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/(u\/(u**(3\/10)\/u*u))*u**(-2)*u\/u**(7\/3)*u)**(-31) assuming u is positive.\nAnswer: u**(3751\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 + ((3 + -27)\/6 - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (sqrt(20) - (sqrt(40)\/sqrt(2))**2) + 0.\nAnswer: -26 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429 a factor of 384501465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 12332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (178\/3)\/((18\/(-12))\/((-135)\/60)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-744)\/(-10)*((-6783)\/(-1309) - 4\/22).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - 0.06. Let f be (-1 + (-7)\/(-5))*75. Let x be (4\/f)\/(8\/(-10)). Which is the second biggest value? (a) 1\/7 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.7 - -51.7. Let z = -43 + f. Which is greater: z or 8\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 1)\/(1\/2). Let t be (-262)\/(-344) - (0 + n\/(-8)). Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.61 (b) 3 (c) 2 (d) -0.2 (e) 0.1 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2 - 50*c - 264 = 0 for c.\nAnswer: -44, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10368 and 25476096.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-4 - (-6 - 2)) + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-20))\/(3\/(-15)). Suppose -3 = 2*k - 3*k. Suppose q = -h - q + g, -16 = -5*h - k*q. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15164480?\nAnswer: 2, 5, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 12*l - 5. Suppose -4*t + 47 = -5*k, 3*k - 14 - 15 = -2*t. Calculate the remainder when v(t) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11620.86 rounded to the nearest 10?\nAnswer: -11620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 3*g**3 - 27*g**2 - 135*g - 162.\nAnswer: (g - 6)*(g + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -30. Suppose -v + 4*x - x + 3 = 0, 5*v - l = x. Let b be 20\/3*v\/2*2. What is the greatest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:51 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*x - 932*x + 41459 = 508*x + 3099 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1137 + -750. Let w = 647 - z. Calculate the remainder when w is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1 - 261438*q**2 + 9*q + 261439*q**2 + 6. Calculate r(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-104))\/((-28)\/(-91))*136\/(-629)?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - -98 - (32\/4)\/4. Suppose 2*q + 228 = -k. Let t = q - -1143\/7. Which is the second biggest value? (a) -3 (b) 1\/13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j + 10. Suppose 5 = -j*s + s. List the prime factors of (12\/s)\/(6\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078821627.\nAnswer: 7, 29, 1193, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*p + 11, -8 - 15 = r - 5*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-36))\/(((-2)\/3)\/(-2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 5. Let q(v) = -1. Determine b(m) + 4*q(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 8*l - 18. What is the remainder when 15\/(-18)*21*-6 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, 1, 0.01, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75506 - 75605.0225. Let a = o - -99. Round a to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 23*d + 153 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 798*y - 775*y + 92 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217253624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2273 divided by 79208\nAnswer: 2273\/79208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/(-3 - -2) - -2) + 0. Does 10 divide (d\/(-20))\/(((-9)\/244)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -94\/247?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5 + 1 - n - 2*n. Suppose 2*l = 4*d + 16, d - 3*d - l = 4. Does 2 divide m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12096 and 9072?\nAnswer: 36288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103233101211 - 3?\nAnswer: 103233101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-63)\/3) + 43090\/(-46704)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 55 + 61. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 26. Let j be h(11). Is -3 - j*260\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 48. Calculate the remainder when 175 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548437439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwge when four letters picked without replacement from {g: 2, a: 6, e: 2, w: 2, i: 3}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/7 - 9*v**3\/7 - 13731*v**2\/7 - 261991*v\/7 + 39390 = 0?\nAnswer: -101, -21, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 385.3638 years in centuries?\nAnswer: 3.853638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97606.47 minutes to seconds.\nAnswer: 5856388.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -17 + 15 + 6 + -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 769, 4776, 15223, 35326, 68301, 117364?\n\"Answer: 536*t**3 + 4*t**2 + 243*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - x + 0*x - 21 = 0, -2*p - 3*x = -22. Calculate the remainder when 22 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2 + 2 + 7*g - g**2 + 1 - 2. Let l be b(5). Let c(i) = 2*i - 5. What are the prime factors of c(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.2, 0.1, 19, -1, -2319 in descending order.\nAnswer: 19, 0.4, 0.2, 0.1, -1, -2319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 3 (c) 0.164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -32*p + 2. Let m be c(6). What is the common denominator of -51\/7 and m\/(-6)*(-6)\/(-16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 77. Let d be 4\/(-12) + 1\/3. Suppose -p - 5*u + 4*u - 1 = 0, d = p + 2*u + 5. What is the closest to 0.1 in p, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 11*a + 4 = 0. Let b be 4 - (-3 + a)*-8. Let y = b + 28. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1710 and 13965?\nAnswer: 83790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78808307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602*998.6.\nAnswer: 601157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - m**3 + 6*m**3 - 43*m**2 + 43*m**2 - 24*m**3 + (m**2 - 3*m + 3*m)*(-3*m - 2*m + 3*m) in the form h + l*m + q*m**2 + c*m**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 207\/(-3) + -1. Let n = -33 - g. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3470598218, 3470598217, 3470598216, 3470598215?\n\"Answer: -q + 3470598219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -433 - -447. Let u = 1.1 + -0.1. Is c less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-768)\/(-36)*48\/(-192)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 12*p**2 - 10*p - 1. Give k(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 21*g + 60. Let m be q(-3). Calculate the common denominator of -17\/35 and m - 2\/(-2) - (-3843)\/1323.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -567, -850, -1133?\nAnswer: -1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63))\/sqrt(9) + 1 + sqrt(700) - (sqrt(70)\/(sqrt(250) + sqrt(10)) + 2)**2.\nAnswer: -115\/36 + 34*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 1. Suppose 4*p - m = 5*s, -9 = -4*p - 4*s + 7. Suppose -4*v - 11 = 3*w, p*w - 3*v - 4 = -27. Put w, 2, -2 in increasing order.\nAnswer: w, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 115.8798 nanograms?\nAnswer: 0.0000000000001158798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6135, 14336, 22549, 30780, 39035, 47320, 55641?\n\"Answer: h**3 + 8194*h - 2060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 76\/24)\/((-45)\/(-1080)). Let d(c) = -32*c - 32. Determine d(n).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 10:51 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 4*k - 2*k)*(1 - 4 - 3)*(0 + 2 - 5).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1234 - -1217. Suppose -3*f - f - 36 = j, 0 = -f - 5*j + 10. Sort f, o, 1 in decreasing order.\nAnswer: 1, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (4\/(-8))\/((-3)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-6)*(x\/(x\/(x*x*x\/(x\/x**(-1\/4)))))\/x)\/((x\/(x*(x\/(x*(x\/x**5*x*x)\/x*x)*x)\/x))\/(x\/(x*x**(-5)*x))))**33)**(1\/4) assuming x is positive.\nAnswer: x**(99\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -2167, -4549, -7883, -12169?\nAnswer: -17407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, 140, 402, 778, 1268?\n\"Answer: 57*w**2 - 23*w - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/(14280\/48))\/(-2*1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 535, 533, 531?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 e when four letters picked without replacement from {r: 4, n: 2, k: 1, j: 1, e: 2, a: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 5*t - 16. What is h(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 268. Suppose c*i = 90*i - 42. Calculate the least common multiple of i and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - 0.25. Let q = 4.56 - -0.44. Which is the nearest to 2? (a) 2 (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 6*a**3 + 3*a**3 + (3*a - 3*a - a)*(-5 + 5 + 2*a**2))*(11*a + 6 - 6).\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12029 = 581*n + 24487 + 17173 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 2*t**3 + t**2 + (2*t**3 + t**3 + 0*t**3)*(-109 + 121 - 71).\nAnswer: -179*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**3 + 6*a**2 - 6*a + 106. Give p(0).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/8)\/(2\/(-2)). Let s = 121\/56 + -15\/8. Which is the nearest to s? (a) -0.5 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i*i*i\/((i*i**(-3))\/i))*i)\/i*i*i**4*i)\/(i\/(i*i*i*i**(1\/5)))**(-3\/2))**(-15))**(-31) assuming i is positive.\nAnswer: i**(-3069\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -15594452.3?\nAnswer: -62377809.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 3, -5, 0, 2, 5.\nAnswer: -74, -5, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 6*v - 16. Let g(a) = 4*a**2 - 7*a + 17. Let x(w) = 5*d(w) + 4*g(w). Calculate the remainder when x(-10) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2865557*t**2 - 1306723*t wrt t?\nAnswer: 5731114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -24*(3 + (-7)\/2). Suppose 11*k - n = 8*k. Solve -4*c + 2 = -5*j, -3*c - k = j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 5*y - 35, 29*y - 28*y + 4*u = 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550661 is divided by 275328?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 105*y + 25. Let r(t) = 13*t + 3. Calculate 6*p(v) - 50*r(v).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - -65. Let y = 120 - u. Find the second derivative of 34*s - 9*s - 2*s**4 + 11*s + 26*s**y wrt s.\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/5)\/((-14)\/(-525)). What is the remainder when 16\/5*l\/(-8) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 4, -281 in ascending order.\nAnswer: -281, -18, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*o - 1488, -5*p - o = -p - 1189. Suppose w - p = -2*w. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792) - (-1 + sqrt(1792) + sqrt(1792) + 2 + sqrt(1792)) - 3*(1 + sqrt(1792))) + 0)**2*-1.\nAnswer: -44816 - 640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2268 - 1896 = 289*f - 696 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 - 12 = -q, 70 = 5*q + 4*u. Let a(y) = 4 + y - 2*y**2 - 4*y**2 + 12*y**2 - 11*y**2. Let s(x) = 24*x**2 - 4*x - 20. Determine q*a(r) + 3*s(r).\nAnswer: 2*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, 97, 144, 193, 244, 297?\n\"Answer: z**2 + 42*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12353*m = -2*t - 12349*m + 44, 0 = -11*m - 121 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1968325.00114 - 1968351. Let w = 26 + r. Round w to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11019, -44083, -99191, -176343, -275539, -396779, -540063?\nAnswer: -705391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 54.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 15*b**2 + 1606*b - 1512. Determine v(-108).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -11*v - 480. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -m - o - 7, -12*m - o - 28 = -5*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8963044 divided by -38468.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2218 - -2213. Put 3, 1.26, a, -5\/2 in decreasing order.\nAnswer: 3, 1.26, -5\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {k: 8, z: 1, f: 1, d: 2, l: 1, u: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-4) + -1*(-5)\/(-20). Suppose 0 = 2*l - 4*t + 6, 3*l + 0*l + 5*t = 24. Factor -4*r**2 + 0*r**3 + 3*r**3 - 2*r**l - 5*r**x - r**4.\nAnswer: -r**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fafaaaffaaa. What is prob of sequence aff?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1752080, -1752314, -1752710, -1753274, -1754012, -1754930?\nAnswer: -1756034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let i(n) = 4*n - 2. Let b(y) = -4*y + 2. Let l(j) = 2*b(j) + 3*i(j). Calculate l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 29172440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 453 = -p, -4 = -p - 3. What are the prime factors of v?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 32 + 11 = 5*n, -10*n = x - 68. Put 7, -1, -44, x in descending order.\nAnswer: 7, -1, x, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010047936 rounded to 7 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1631146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Let s(p) = -p**2 - 4*p + p**2 + 5*p + 10*p**o. Calculate the lowest common multiple of 11 and s(-1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.18136ns in microseconds?\nAnswer: 0.02718136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152238439 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 3 + 3 + (0*f + f**2 + 0*f)*(3*f - 6*f + 5*f))*(8 - 32*f**2 + 21*f**2 + 1).\nAnswer: 11*f**5 - 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, -6, -67, -148, -243?\n\"Answer: o**3 - 19*o**2 + 15*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z + 2*z - 4*z)*(-5 + 0 + 3) + 2*z + z - 2*z)*(-1 + 0 + 0).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)**(1\/34))**(6\/25) assuming w is positive.\nAnswer: w**(-6\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149.10023 + -148.97. Let q = i + -288.62023. Let y = 287 + q. What is y rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrttjwjtrtrrrjrwj. Give prob of picking 2 j and 2 w.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 19*z - 172. What is f(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 13) in base 16?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 = -108*m + 693 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 + 47*s + 14*s**2 - 47*s.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g + 2*t - 40, -2*t = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/1820*((-2)\/(-6))\/(-4*(-5)\/(-150)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + -220. Is b\/(-8)*(10 - 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/26853, 2\/5, -170?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k + 54*d = -39*k + 42*d - 81, 0 = -3*k + 5*d - 38 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60.21 - 60.218714. Round x to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -50. What is the smallest common multiple of -11 - -10 - -1*21 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100224 (base 11) to base 10.\nAnswer: 161319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 5177*v - 15532\/3.\nAnswer: (v - 15532)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1074.9 - 1030. Let m = -45 + x. What is the second biggest value in 0, 5, m, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 62 = -10*z. Which is smaller: 18 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - 6264987*w**2 + 0*w**3 + 3132492*w**2 - w**3 + 3132495*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 43*i**2 - 138*i + 1. Determine m(46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2280611, -2280613, -2280615, -2280617?\n\"Answer: -2*p - 2280609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, l: 2, s: 1}. What is prob of sequence lm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 5*p + 2*p)*(2*p + p - 2*p) in the form a + s*p + x*p**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/12 - (-20)\/80. Solve -4*r - r - v = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -7. Which is the third smallest value? (a) n (b) -5 (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2241293*y**2. Let b(f) = -2*f**2. Give b(h(a)).\nAnswer: -10046788623698*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23871*w**2 - 1209*w - 2.\nAnswer: 47742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 5*l, -5*o - 2*l - 10 = 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*11*(-4)\/8. Let g = x + 12. Solve 2*r - 4*m + g - 3 = 0, 5*r + 40 = -5*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15211*d**2*t + 114*d**2 + 3*t - 161 wrt t?\nAnswer: 15211*d**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0*w**3 + 0*w**4 + 0*w**5 + 25*w + 11\/30*w**6 + 0 + 21\/2*w**2. What is the first derivative of k(c) wrt c?\nAnswer: 44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:38 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 2*t**2 - t**5 + (-200*t**4 - 13822*t**3 + 13822*t**3)*(t + 2*t - 5*t) + 9*t**5 - 9*t**5 + 12*t**5 + 2*t**5 - t**2 + t**2.\nAnswer: 413*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 67, 163, 307, 505?\n\"Answer: x**3 + 15*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 154*f - 1122. What is the remainder when i(12) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774181 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 111, 211, 311?\n\"Answer: 100*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 4*o**2 - 8*o + 4. Let v(g) = g. Let f(b) = s(b) + 6*v(b). Let p be f(4). Put p, -3, -1 in decreasing order.\nAnswer: -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 4*x**2 - 5*x - 2. Let w(d) = 2*d**3 - 5*d**2 - 5*d - 3. Determine 3*b(y) - 2*w(y).\nAnswer: 2*y**3 - 2*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 785472656 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 5*c = -520. What is the third derivative of 11*i**3 - c*i**2 + 18*i**3 - 8*i**3 - 56*i**2 wrt i?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:34 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -4)*-1 + 670 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*b + 13 - 28 = 0, 0 = -12*y + 5*b + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdjjqqmjqqj. What is prob of sequence qmqq?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 15)*6\/9. Suppose 0 = 5*l - b - 5. Suppose 12*v + 6 = -n + 13*v, -3*n - v = -6. Solve 3*a = -d + 8, -16 = -5*a - n*d - l*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8502*i + 5751 - 5751 in the form o*i + p and give o.\nAnswer: 8502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 12, -4*p + 5*m - 48 + 5 = 0. Let v = -2 - p. Solve 2*u - v*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1322*v**5 - 79*v**4 - 9*v**3 - 569760316*v**2?\nAnswer: 79320*v**2 - 1896*v - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 14*j**3 - 20*j**2.\nAnswer: -2*j**2*(j + 2)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 h when three letters picked without replacement from {h: 2, x: 9, w: 8}.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.089 - -0.879. What is t rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.7 - -13.3. Which is smaller: p or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 + -0.03. Let v = -0.1 - a. Let s(w) = w - 15. Let u be s(11). What is the nearest to v in u, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33.4 != -7\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3 + 56\/24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271 - 4741*g**2 + 6576 - 4474*g**2 - 3331*g**2 + 1212*g**2 with respect to g.\nAnswer: -22668*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let l = 63 + -61. Let u(t) = 124*t - 14*t**l - 124*t. What is m(u(n))?\nAnswer: 392*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58715386 or 58715385?\nAnswer: 58715386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 17563 = -5*o, -10*o + 11*o = m + 3513. What is the remainder when o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 47, 138, 305, 572, 963, 1502?\n\"Answer: 4*g**3 + 2*g**2 + 5*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -6 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75, -98, -111, -108, -83, -30?\n\"Answer: y**3 - y**2 - 27*y - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*t = -170*t - 48504000. Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5200442 to the nearest 1000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10*r**2 + 2*r - 2. Let t(u) = 41*u**2 - 9*u + 9. Let w(a) = -9*l(a) - 2*t(a). Let v(d) = d**2. Calculate v(w(n)).\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, o: 1, n: 2, u: 3, r: 1, l: 1}. Give prob of sequence ddn.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53123245 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3513052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46585751.\nAnswer: 59, 789589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91842436, 183684870, 275527304, 367369738, 459212172?\n\"Answer: 91842434*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 588905 and -0.1?\nAnswer: -58890.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3\/7)*u*u)\/(u*(u\/(u**(-7)*u))\/u)*((u**(-3\/7)\/u)\/u*u)\/(u\/((u*u\/(u\/u**(-8))*u*u)\/u)))**7)**(10\/11) assuming u is positive.\nAnswer: u**(-970\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/21 - (-2)\/7 - (-69 - 219). What is the highest common factor of 187 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmmvgkpgg. Give prob of sequence gpkm.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k = -328265 + 329345 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156*f*u**4 - 23*f*u**2 + 2*f*u + 3312*f + u wrt u.\nAnswer: -1872*f*u**2 - 46*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 2238.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {l: 13, u: 1, s: 3}?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i + 1345 - 1345. Let l(w) = 130*w**2. Give l(c(m)).\nAnswer: 3250*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5472871 to one dp.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1)*5\/(-10). Let v = -10 + 7. Sort v, 2, r in decreasing order.\nAnswer: 2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:41 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 3*k**2 - 4*k**2 + 0*k**3 + 7*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-56) + (-94874)\/(-8112) + 12\/(-78)\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j + 74. Let l be p(5). Suppose 6*q - l*q = -1989. What is the highest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -311*r - 5617. What is w(-18)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 6 = 3*r. Let h be 1\/3 + 4\/r. Suppose -3*k + 5*k = h. Solve -4*v - 3 - 1 = 4*n, 5*v - 5*n - 25 = k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 25*q**3 - 8*q**2 - 3*q - 3. Let r(k) = -2*k**3 + 2*k**2 + k + 1. Determine 4*r(x) + s(x).\nAnswer: 17*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5701*d - 17098*d + 489*d**3 + 5696*d + 494*d**3 + 5701*d - 984*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + n**2 - 3*n - 14. Give v(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/14 (b) -702874 (c) 0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2247 and 519806?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -32*l**2 - 5 + 23*l**2 - 4 + 14*l**2 + 0. Let n(c) = -c**2. What is w(n(u))?\nAnswer: 5*u**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 867135 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**14\/v)\/(v**(-6\/5)*v))**(3\/10) assuming v is positive.\nAnswer: v**(99\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.03, 0, -12, 2, 3 in decreasing order.\nAnswer: 3, 2, 0.5, 0, -0.03, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 297 + -274. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 9) to base 11\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -346 * 51513.\nAnswer: -17823498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 276.\nAnswer: -4, 0, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/56 + 26 + 31070\/1820?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.7 + 12. Which is bigger: z or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**4 - 392*p**3 + 10916*p**2 - 106528*p + 325680 = 0.\nAnswer: 6, 10, 23, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181936*m**4 + 3166*m + 4.\nAnswer: -2183232*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8540 is divided by 3656?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 10 (b) -55 (c) 33 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -174952, -174948, -174944, -174940, -174936, -174932?\n\"Answer: 4*h - 174956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72006 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -831*d + 3801.\nAnswer: -831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqnnqqnqn. What is prob of sequence qqn?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 3*m**3 + 70*m**2 - m**4 + 5 + 74*m**2 - 146*m**2 as h*m**2 + l*m + u + q*m**3 + w*m**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-626)\/(-1565))\/(((-3)\/(-50))\/((-45)\/(-12)))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -r - 6, 4*r + 3*c = 6*r + 8. Find the second derivative of 5*n + n**2 - n**2 + 22*n**r wrt n.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/7 + 10\/35. Let r(d) = d. Let n be r(f). Let x = 0 - n. What is the remainder when 2 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -162, -135, -106, -75, -42?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 1\/(8\/10). Let x = 2763 + -2758. Which is the smallest value? (a) -0.4 (b) x (c) h (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 22244422032?\nAnswer: -22244422044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 13. Let k(l) = -l + 8. Calculate the remainder when 2 is divided by k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/(-24)*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.72? (a) 1\/4 (b) -1\/9 (c) -4 (d) 2\/13 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2462782837 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000051104 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7496*i + 9408. Calculate v(1).\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82018*l**4 + 246104*l**3 - 246204*l**2 + 82168*l - 50.\nAnswer: -2*(l - 1)**3*(41009*l - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*q - 0*q + 5*y, -5*q + 4*y = -33. Suppose 2*g + q*a = -29 + 72, 0 = -5*g - 5*a + 85. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n + 33*n + 3*b = -3, -b = -5*n - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012 (base 4) in base 7?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.342692 to 3 decimal places.\nAnswer: 1.343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -5 - (-1 + -10). Let s = l + 4. What is the remainder when 132 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 159\/19?\nAnswer: 159\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 26*a - 164. Let c be b(10). What is the highest common factor of 128 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:43 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9394 and 29106?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = 5. What is the remainder when 65 is divided by 2\/j + (-1232)\/(-55)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307593, -615183, -922769, -1230351, -1537929, -1845503, -2153073?\nAnswer: -2460639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p + 15. Let y be -6*(-1)\/(-2)*2. Let n(m) = -m**3 - 6*m**2 - 4*m - 1. What is the remainder when n(y) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -129, -58, 15, 90?\n\"Answer: x**2 + 68*x - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 73*h + 10086 = 0. Calculate the remainder when 451 is divided by h.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = 5*q, 4*q = 4*s - 7 - 45. Let g(w) = -2*w**3 - 4*w**2 - w - 1. Let y be g(-3). What is the greatest common divisor of s and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4971 + -2402. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrafffnfssvv. Give prob of picking 1 n, 1 f, and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1227d72 + 4?\nAnswer: -1227d6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9553 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/14 + (-4)\/14. Let q be 4*(-59)\/472 + (-3 - (-6)\/3). Sort q, t, -146.\nAnswer: -146, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3375 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 5*s**2 + 3*s + 1. Let u be a(-4). Suppose -795*r + 814*r = 323. Solve -3*q = -r + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14937*g**2*v**3*y**3 - g**2*v**3*y**2 + 3*g**2*v**3 - g**2*v**2*y**2 - 29*g**2*v*y**2 + 1046*g**2 - 83*g*v**3*y**3 wrt y?\nAnswer: -89622*g**2*v**3 - 498*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82 + 1ba77?\nAnswer: 1b9b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 9. Let a(i) = -i + 9. Let j(c) = 5*c**2 + 4*c - 100. Let g be j(4). What is g*a(r) + 3*k(r)?\nAnswer: -2*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40010 and 36009?\nAnswer: 360090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**3 + 428*t**2 + 11296*t + 87552 = 0.\nAnswer: -72, -19, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7164485289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 divided by -5.\nAnswer: 141\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*a**3 - 324*a**2 - 256*a - 12.\nAnswer: -4*(a + 1)*(a + 3)*(20*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*z**2 - 25*z - 868*z**3 + 863*z**3 + z**2.\nAnswer: -5*z*(z - 5)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -463367 - 416633. Round g to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -329*p - 2. Let b be n(-2). Suppose -4*x = -8, 3*z + z + 2*x = b. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413311072 and 1632?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.50325 rounded to two dps?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 26, 142, 384, 794?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 12. Suppose -l = -2*f - f. Let n = 8 - 7. Let v(w) = -2*w - 2. Let k(s) = -s**2. Determine f*k(m) + n*v(m).\nAnswer: -2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3. Let y be p(0). Suppose -y*t - 2*t = -10. Solve 0 = -t*u + 5*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*l + 3*k, 3*l + 5*k = -1. Sort 4, -2, -0.3, l.\nAnswer: -2, -0.3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 552.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.6 - 18. Which is the closest to 0? (a) z (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 323.\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**4\/2 + y**3\/3 + 3*y**2\/2 - y + 3. Is l(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6*-5)\/(9\/234). Let q = p - 60. What is the second derivative of 65*j - 151*j - 6*j**q + 67*j wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:10 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/2 + (-6)\/216*85 and 62\/177.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 2233, 5072, 9041, 14134?\nAnswer: 20345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:42 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/26 and 13\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(sqrt(117) + -2) + sqrt(130)\/(sqrt(360)\/sqrt(4)))**2 + 0.\nAnswer: -1760*sqrt(13)\/3 + 52136\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*h + 8, 12 = b - 5*b. Let w = 559\/1060 + -20\/53. Calculate the common denominator of 0 + h\/((-120)\/141) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/1276*-87 - (-448)\/(-30).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 + 22430*z - 22432 = 0. Calculate z.\nAnswer: -11216, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.432479 kilograms in nanograms?\nAnswer: 9432479000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11118)\/(-162) - 7580\/(-20466).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 - 9*a - 6. Let w be m(-6). Suppose 6*p = 3*p + w, 3*x = 5*p - 32. Sort x, -2, 3 in descending order.\nAnswer: 3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*g - 64*g - 3696 = -87*g for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 5*t - 2. Let d be p(-3). Let o be (d*4)\/5 + 1. Sort 2, o, 5.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399 divided by -5?\nAnswer: 399\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11467 and 0.0063.\nAnswer: -11466.9937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -269, -269, -131, 181, 703, 1471?\nAnswer: 2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847 a factor of 3171299972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-8) + -3 + 0. Put h, -2, 1\/6 in increasing order.\nAnswer: -2, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119 and 574?\nAnswer: 68306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {i: 1, h: 3, v: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**2 - 215. Let i(v) be the first derivative of 8*v**3\/3 + 3*v + 3. Give i(s(q)).\nAnswer: 32*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12654 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14\/((175\/147 - 1)\/((-20)\/(-70)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26844 + 3348 = -33*u. Calculate the greatest common divisor of u and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - (-355)\/(-35))\/((-6)\/(-56)). Suppose -z + 216 = s*z. Calculate the highest common divisor of 64 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 498 (b) -3 (c) 0.4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*a - 6, 5*a + 24*d = 29*d + 30. Solve o = 3*m + 1, 4*m - o + 0*o + a = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/3 and 35\/418?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + u**5 - 1 + 3*u**5 - 3*u**5 + u**5 + 2*u**2 - 2*u**2 + u**5 + (-16 + 3*u**3 + 16)*(3*u**2 + 0*u**2 - 4*u**2) - 30*u**5 - 4*u**5 + 0*u**5.\nAnswer: -34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.06, -5, -124, 38, -4, -7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*p - 2372 = 77*p + 6*b, -3*p = b - 3618. What is the remainder when p is divided by 220?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45.531 and -623.85.\nAnswer: -578.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -258016 times -1.2\nAnswer: 309619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 315582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s - 8*s - 6*s**2 + 0*s**2 + s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 17*d + 18 = 0. Suppose b - 5*b + 12891 = -q, d*b = 3*q + 6443. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1132323 + 12?\nAnswer: 1132340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 2. Let k = 18 + -16. Calculate f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 3 = 15. Determine q, given that 5\/2*q**h - 1 + 9\/2*q = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3\/3 + 222*v**2 + 8489*v\/3 = 0.\nAnswer: -653, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5))**(2\/23)*c**(-10)\/c**(-14) assuming c is positive.\nAnswer: c**(82\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5859?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (0 + 2) - ((0 - 6) + -13). Calculate the highest common divisor of 954 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/4 - s**3\/3 - 2*s**2 + 6*s - 15. Let z be t(2). Factor 7*b**2 - 3*b**z - 6*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 34*l**2 - l - 13. Let f be p(-17). Suppose -3*c = -f*c - a + 1734, -4 = -4*a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = -0. Solve -2*f + k = -h, f + 3*h - h = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2498*z**3 + 2*z**2 + 8*z + 7. Does 17 divide j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*s**5 + 24*s**4 - 9*s**3 + 700*s**2 - 34*s wrt s.\nAnswer: -2100*s**2 + 576*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 68, 70, 68, 62, 52, 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-42)\/18) - 10*1. Let g be x - -8 - (-2 + 52). Let f = g + 57. What is the smallest common multiple of f and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2*d - 1. Let n = -13 - -9. Calculate the remainder when i(n) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 87?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let t be (3 + -2)\/(-1 + m). Is t less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 18*b = 2*f - 8, -5 = f - 2*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 - (0 + -4) - (2 - 2) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 8 + 24. Let g = 1715 + -6857\/4. Determine j, given that 0*j + 0 - 3*j**2 + w*j**3 + g*j**4 = 0.\nAnswer: -6, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 37. Suppose -3*l + 44 = -u. Let s(y) = -y + 4. What is the remainder when l is divided by s(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56921.7601572 + -0.0538.\nAnswer: 56921.7063572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 546\/1183 - 15\/((-2535)\/7358)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(30\/6)*1\/8\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, u: 1}. Give prob of sequence rn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 32*s - 10. Calculate p(3).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5))**(-45)\/((t*(t**(1\/6)\/t*t)\/t)\/(t**(-3\/2)*t)) assuming t is positive.\nAnswer: t**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-58)\/(-174))\/(2\/48 - 0). Suppose -2*d = w, h + 6 = 2*h + d. Calculate the least common multiple of (24\/40*2)\/(3\/h) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*f = f - 6, -2*d + 5*f = 14. Let b be d\/(-3) - (-32388)\/18. What is b rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10925774 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 70. Let w be (-24)\/15*(-723275)\/l. Let d = w - 295620. What is d rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544945895 + 22*b**2 - 544945895 + 78*b**2.\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 1, r: 1, u: 2, t: 1, k: 1}. What is prob of picking 1 k and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (184085\/(-6694))\/(10\/16).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 17 = -i, -i = -2*u - 14 + 1. Differentiate c**i + 5*c**3 - 2*c**3 + 1 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/5 + 23176*i\/5 - 67140872\/5 = 0.\nAnswer: 5794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*w = 6*w - 135*w - 31464 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173 and 18684?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8002*x**2 + 16452 with respect to x.\nAnswer: -16004*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 - 64 + 84)*(-2*x + 8*x + 28*x) to q + s*x and give s.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let l be q(-4). Suppose 0 = -7*m - l*m + 77. Solve m*t - 32 = 3*t + 4*s, -3*t - 2*s + 9 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = n + 84, 0 = -2*a + n + 38. Let m = a - 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*(1 + -31)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b. Let z(s) = s**2 + 13*s + 6. Let w be z(-12). Let l be o(w). Factor l*a - 8*a**2 - 23*a - 4*a**3 - 11*a.\nAnswer: -4*a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -7*o**2 + 0*o + 127\/30*o**5 - 1\/8*o**4 + 0 + 1\/3*o**3. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(72)))**2 + -5 - ((2*sqrt(72) + 3)**2 - (1 + sqrt(72))*-6).\nAnswer: -235 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3577*d. Let f(r) = -4179*r**2 + r. Calculate h(f(i)).\nAnswer: -14948283*i**2 + 3577*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 589, 4156, -1\/5, 0, 1\/4 in decreasing order.\nAnswer: 4156, 589, 1\/4, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sesseseseeseseseeses. Give prob of picking 4 e.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184\/92619 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 2.11. What is the second biggest value in 2, z, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*u**2 + 45 + 542*u**2 + 34 + 2 + 3.\nAnswer: -2*u**2 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -27, 1315, 4807, 11379, 21961, 37483?\nAnswer: 58875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/252)\/(8\/(-96))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from qjvnvqvqvvqx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 7}. Give prob of sequence nnn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7a - 222?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 607*q**3 + 12*q**2 - 4*q + 1. Let o be c(1). Calculate the highest common factor of o and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 at least 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-24 - -10 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*i**2 - 17*i**2 - 10*i**2 + 148 in the form z*i**2 + q + t*i and give q.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*v - 2, -v + 12 = 2*k + 4*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + n, -12 = -5*k + 2*n. Suppose 3*o = k*o. Let p be 0 - 1 - (-1 + -1 - o). Solve p = -2*w - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 29272*j - 85. Let x be d(5). Suppose -x - 43533 = -16*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6689.624 and -0.5.\nAnswer: 3344.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 6*r - 24. Suppose -3*j - 51 = -r. Let u = 2 - j. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 + 5\/(-90). Let c be (2\/(-8))\/(2\/12). What is the closest to -2\/7 in h, c, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 17640?\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.6 + -22.6. Let r be 6*(1\/3)\/((-30)\/(-45)). What is the nearest to r in u, 4\/5, 5, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 1}. What is prob of picking 2 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 78 + 80*k)*(-2*k - 4*k - 5*k)*(-4 + 0 + 3).\nAnswer: 880*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 164.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 - 93. Suppose -3*l + 2*f = -o - 28, -4*f = 3*l - 37. Differentiate 46*i + l - 59 - 6*i with respect to i.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4957 - 4953.4. Put m, -2\/3, 0.1, 12 in ascending order.\nAnswer: -2\/3, 0.1, m, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233 + 30991\/133. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -16 + (-2691)\/65?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75664 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 53573 (base 12) to base 6\nAnswer: 2203423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4211, 9655, 18739, 31469, 47851, 67891?\n\"Answer: c**3 + 1814*c**2 - 5*c + 2401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018895.\nAnswer: 3, 5, 134593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.7. Let t = 70 + -69.8. What is the closest to t in x, 0, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -67*12\/4*(-3)\/1. Let q be 16*k\/24*2 + -1. Suppose -2*v = -3*d - 278 + q, -4*d = 3*v - 700. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263176 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(684) + -1).\nAnswer: -5 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c + 180. Let z(m) = 14*m + 360. Let l(o) = 5*p(o) - 3*z(o). Let g(a) = a**2 - 1. What is the remainder when g(-4) is divided by l(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 15 - 8. Solve u - k = -3*o, 3*o - 4 = -o - 4*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 366*y + 35128. Determine w(-96).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + (-10 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:06 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47.7? (a) 22\/3 (b) -2\/39 (c) 5 (d) 122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 69*q**2 - 70*q + 88. Let b(a) = -344*a**2 + 385*a - 439. Give -2*b(h) - 11*m(h).\nAnswer: -71*h**2 - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5392787061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m**2 - 8*m**2 - 4*m**2 - 9*m**2 - 14*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -114*q - 336. Calculate u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**3 + 56368*g - 830105 wrt g?\nAnswer: -9*g**2 + 56368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*i - 1254 - 318, 4*m + i = 2093. What are the prime factors of m?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10194112?\nAnswer: 2, 47, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1243 and 59\/22.\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.74 * -0.02.\nAnswer: -0.0548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 12230323001?\nAnswer: -12230322333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*j = -90*j - 48. Solve 2*d = -d + j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.302192 + 0.299592. Let p = -24.47 - -0.47. Let z = p - k. What is z rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 86) + (-126 + -150 - -303)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328 + 749. Let o = -95 + j. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one halves of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:47 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5\/9 + 1276*z**4\/9 - 2516*z**3\/3 + 1252*z**2 = 0. What is z?\nAnswer: 0, 3, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 57*d**2 - 1240*d - 35498. Determine i(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 + 9*k + 7. Let s be u(8). Let l be (9\/s)\/((-1)\/(-5)). Solve l*p - 8 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvl when three letters picked without replacement from {v: 3, l: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269\/33 - 53\/11. Factor 10\/3*k**2 + 1\/3 + 1\/3*k**5 + p*k**3 + 5\/3*k**4 + 5\/3*k.\nAnswer: (k + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-4 + 3 + (1 - 3)). Solve 0 = -t*v - v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**3 - 4*n**2 + 5*n - 2. Let r(g) = g**3 - g**2. Let t(j) = -d(j) + 6*r(j). Calculate t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2074*i + 1976*i - 69351*i.\nAnswer: -65301*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -23*y. Let a(b) = -154*b. Give k(a(s)).\nAnswer: 3542*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 31*j**2 - 31*j + 54. Let v be x(-15). Solve 5*p = 309 - v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 40*l - 575. Give i(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34188371 to the power of 1\/2, to the nearest integer?\nAnswer: 5847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + -1*(4 + 2*sqrt(325)) + (1 + sqrt(325)*1)*6) + -5.\nAnswer: 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*r - 170 = -5*l, 0 = 2*l - 3*r - 68. Suppose 3*f = l + 182. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*d + 7378 - 7378 - 27*d**3 to the form k + z*d**3 + o*d + x*d**2 and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1712*t**3 + 11*t**2 - 19*t + 21. Calculate a(1).\nAnswer: -1699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 20*c - 7*c + 85*c + 50*c.\nAnswer: 108*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14784 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: b\"What is the hth term of 1947, 5564, 10851, 17808, 26435?\n\"Answer: 835*h**2 + 1112*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547 divided by 183.\nAnswer: -547\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 5*i - 5*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 736 + 272 = 0. Suppose w*a = 165*a + 732. List the prime factors of a.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + 1. Let i = 28 - n. Let v be (-5 + 1)\/(((-4)\/i)\/1). Solve -2*u = -0*u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -669563*533.\nAnswer: -356877079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 - -187.3. Let o be -7 + (0 + -1 - -2). What is the third smallest value in 4, o, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14099058 is divided by 3524756?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 20070048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 + (2\/(-1) - -1). Let h(d) = 41*d**2 + d - 4. Let l be h(2). What is the greatest common divisor of l and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2103213133 (base 4) to base 16\nAnswer: 939df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o*o*o*o**7*o*(o*o*o**(1\/3)*o)**(-3\/17))**(-13))**(2\/7) assuming o is positive.\nAnswer: o**(-4602\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7 - 55 = 0. What is the remainder when 24 is divided by 2\/(-1) - (1 - x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*n + 581 = -13, 5*l - 2*n + 990 = 0. Is l bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66.7 + 10.2. Let n = 459 + -516. Let s = n - f. Which is the smallest value? (a) -2\/5 (b) s (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o + 438. What is c(23)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + -5*(sqrt(13)*-2)**2 + sqrt(832) + 1.\nAnswer: -263 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 10*o - 3*o. Let t(i) = 8*i. Let b(y) = 45*y**2 - 21*y**2 + 95 - 20*y - 33*y**2 + y**3. Let k be b(10). Give k*f(j) + 6*t(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 22 = 2*n - b, -3*n - 3*b = -6. Let v(y) = -y**2 - 5*y + 3. Let h be v(-5). Let u = n - h. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18478?\nAnswer: 2, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53974 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*y - 10, 4*s = y - 40 + 53. Solve 0 = f + 19*z - 23*z - 15, s*f = 3*z + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 22 = -x, -44*x = -62*x - 5*k - 61 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1806, 7197, 16182, 28761, 44934, 64701?\n\"Answer: 1797*h**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3.6, -6, 1.4, 43 in increasing order.\nAnswer: -6, 1.4, 2, 3.6, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**3\/3 - s**2 - 19. Let o(p) = -p**2. Determine y(o(c)).\nAnswer: -2*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -3044 and -5954476.\nAnswer: -5957520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7288569 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.079121 * -43.7.\nAnswer: 3.4575877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*q - 62*q + 552. Let v = -693\/5 - q. Which is the second biggest value? (a) -2 (b) -5\/7 (c) v (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/10*(-4)\/5. Let t(v) be the first derivative of -j*v**2 + 0*v + 3 - 5*v + v. Give t(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47454854 and 12047.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 4*j**3 + 3*j**3)*(-3 + 3 - 2*j**2) + (0 + 0 + 2*j**4)*(-j - 2*j + j) - 3*j + 3*j - j**5 + 335*j - 335*j + 8*j**5.\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -7*r. Let p be 4 + (-376)\/r + 2. What is the units digit of (4\/(-5))\/((-4)\/p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.87? (a) 8\/2875 (b) 3 (c) 4 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + 19 + (37 - 30 - 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, l: 1, t: 2, u: 4, d: 10}. What is prob of picking 1 l, 1 u, and 1 g?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6188*f**2*z**2 + 994*f**2*z - 3*f**2 wrt z?\nAnswer: -12376*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.9 + -19. Let n = -6 - l. What is the smallest value in n, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 23, 43, 69, 101, 139?\n\"Answer: 3*u**2 + 5*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*a**3 + 3 - 2*a**3 + 2 to the form p*a**3 + m*a**2 + d + h*a and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17944 - -5653. Let z = -2391 - v. What is z rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 315, 4\/167, 0.2 in decreasing order.\nAnswer: 315, 0.2, 4\/167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 251*y**3 - 4 + 3.\nAnswer: -251*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/210 + t**6\/24 + t**5\/20 - 13*t**4\/24 - 5*t**3\/3 + 13*t**2 - 3*t. Factor n(m).\nAnswer: -(m - 5)*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-26))\/n)\/n**1 assuming n is positive.\nAnswer: n**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 11)*2\/(-4). Suppose 0 = -4*s + 2*q + 1036, m*s - 1317 = -2*s - 3*q. Suppose -j = -3*t - 262, 0 = -j + t + 3*t + s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 18*n**3 - 3*n**2 + 2*n. Let i(y) = -9*y + 55. Let p be i(6). Let v be q(p). Calculate the highest common divisor of v and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, -5, -50, -127, -242?\n\"Answer: -o**3 - 7*o**2 + 9*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 2. Let r be u(6). Let a(z) be the first derivative of 5*z**2\/2 + 58. Is 3 a factor of a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2\/13, 341, -6274, 1 in descending order.\nAnswer: 341, 1, 2\/13, -11, -6274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 69cb (base 14) to base 6\nAnswer: 221115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477855?\nAnswer: 3, 5, 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o = -64*o + 1860. Let i(l) = -l**2 + 26*l - 33. Let f be i(17). Calculate the highest common divisor of o and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.9 - -19.21. Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loaooaoutoaaloa. What is prob of picking 1 u, 2 o, and 1 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 11:00 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + -1 + sqrt(300)*-4*1))**2.\nAnswer: 10000*sqrt(3) + 120625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*j = 3*j - 1447, 4*i - 3*j = 1151. Suppose -i = -4*r - r. Suppose 5*s + 8 = r. Calculate the remainder when 18 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 4*c - 3*c)*(4 - 4 - c) + c**2 + 0*c + 0*c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25796.4 + 23328. What is w rounded to the nearest ten?\nAnswer: -2470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/32)\/(6\/8)*(-8)\/(-20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, 272, 1254, 3170, 6332, 11052, 17642, 26414?\nAnswer: 37680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((85\/238)\/((-15)\/(-6)))\/((-6)\/(-98)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/21*1344\/768.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 127 times -2133\nAnswer: -270891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211.7076 millilitres to litres.\nAnswer: 0.2117076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2873158 or -2873159?\nAnswer: -2873159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 - 3*b**2 + b**2 to u*b**2 + s*b + i and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 1, t: 1, o: 4, u: 2}. What is prob of sequence uut?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Suppose 9 = 4*i + a + 5, -5*i + 2 = 2*a. Let u(h) = -133*h**2 + 72*h**i + 65*h**2 + 4*h. Calculate u(r(d)).\nAnswer: 16*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(5)) + sqrt(5) + sqrt(5)*2*5)**2 + ((sqrt(640)\/sqrt(4))\/(sqrt(6)\/sqrt(48)))**2.\nAnswer: 108*sqrt(5) + 1721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**2*a)\/a)\/a**(-4) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aetadaajjeeeat. What is prob of sequence ajda?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 5*v + 0 + 0. Let c(g) = -2*g - 5*g + 0*g - g**2 + 8*g. Let h(d) = -2*d**2 - d. Let t(z) = -c(z) - h(z). Determine i(t(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s + 1. Suppose -4*g + 265 - 273 = 0, 2*l = -4*g - 4. Let f(y) = -5*y**3 - 4*y - 1. Give l*d(t) - f(t).\nAnswer: 3*t**3 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 - 222?\nAnswer: -10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -5, 211 in ascending order.\nAnswer: -6, -5, 0, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 2*s**3 + 3*s**3 - 2*s + 2 - 4. Determine f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-3)\/84 - 3156273\/(-812)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -32, -14\/3 in descending order.\nAnswer: 2, -14\/3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, -3, 155 in descending order.\nAnswer: 175, 155, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {q: 1, m: 2, w: 7, a: 1, y: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 - f**2 - f**2 + 2*f - 19 + 19 as m*f**3 + i + l*f + t*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*h = -32*h + 17 + 424. Sort -0.3, h, -0.1, 41 in decreasing order.\nAnswer: 41, -0.1, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14650355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13281 - p + 3*p**2 + p + 13281.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -358873581 divided by -3?\nAnswer: 119624527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2836584 is divided by 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1148283 and 73\/2012850?\nAnswer: 1205697150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.931489t to milligrams.\nAnswer: 4931489000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 3. Let j be l(1). Is j\/(-25) - (-744)\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*(0 - 8\/(-28)) + -2. Suppose 0*z - z + 14 = v. Suppose 3*n + 15 = -4*u + 3, 5*n - z = -u. Let s(w) = -w**3 - 5*w**2 + 6*w + 3. Determine s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598600 divided by 5986?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3530 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -6*h - 10. Which is smaller: h or -3\/259?\nAnswer: -3\/259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17850 and 1995?\nAnswer: 339150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 45*y**2 - 40*y.\nAnswer: -5*y*(y - 8)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 518582429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*n - 891267 = -856047 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218 or -3729\/17?\nAnswer: -3729\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/4347 and (-2)\/(-12)*(12 - (-1261)\/(-78))*15?\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9196 and 14726668.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*g**5 + g**4 + 24*g**2 + 39899*g wrt g.\nAnswer: -1360*g**3 + 12*g**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 646123776.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Suppose d = -i - 0*i + 6. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.3895 and -125.\nAnswer: 923.6875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*b + 12 = -8, -2*z - b = 4. Suppose z = -2*c - 2 + 18. Let i = -6 + c. Calculate the least common multiple of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**3 - o - o**4 + 11*o**3 - o**2 + 3*o**2 as m*o**4 + k*o**2 + h*o + s*o**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*c**2*h**3 - 18*c**2 - 2*c*h**3 - c*h + h**2 wrt h?\nAnswer: -150*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2282*s = 2159*s - 422 - 3760 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 22 - 112 = 0. Let d = 66 + q. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311 (base 5) to base 15.\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3893 = -3*n + 12*o, 0 = 3*o - 15. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -w + 964, -4*r = -14 - 6. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -25.9506535 and -20.224.\nAnswer: -46.1746535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:05 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 38*h**3 + h**2 - h. Determine m(2).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 1139 - 229. What are the prime factors of a?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 20*s**2\/7 - 521712*s\/7 - 12219012\/7 = 0.\nAnswer: -117\/5, 26109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 6*b**2 - 10*b - 16. Let r be z(-10). Let c = 474 + r. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**5 - 2*y**5 - 3*y**5 + 2*y**5 + y**5 - 2*y**5 + (2*y + 3*y + 0*y)*(2*y**4 + 5*y**4 - 5*y**4).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254157.\nAnswer: 3, 84719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) -10 (d) -5 (e) -28.56 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175509088*c*s**3 - 7266*c*s + 65*c + 116*s**2 wrt s?\nAnswer: -1053054528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, 0.2, 30, -66, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61687193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.331 - 0.944. Let f = x + 0.033. Round f to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -31. Sort 5, w, -3\/2.\nAnswer: -3\/2, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23422*n**5 - 4994*n**2?\nAnswer: 1405320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25795.\nAnswer: 5, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 3*v - 2. Let h be c(2). Let s be (-16)\/(-10)*(-10)\/h. Let l(n) = -n**3 + 7*n**2 - 7*n + 6. Determine l(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Suppose 5*a - f*n = -35, -3*n + 10 = -2. What is the third biggest value in 3, a, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1*(1 + -3)). Let h be 2 - (-30)\/((-4)\/(-2)). Let f = h - i. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 285\/(-114)*4\/(-10). What is the biggest value in x, -0.31, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5 = 0, 0 = 175*m - 180*m - 4*p - 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -54 + 67*k + 209*k + 51*k. Is w(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -260 - 64*t + 121 + 135 - 47*t**3 - 11*t**5 wrt t.\nAnswer: -220*t**3 - 282*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 6*m**2 + 6*m - 13. Let a = -272 + 279. Let g be 4 + (-7)\/2*(-4)\/a. Let x(y) = 11*y**3 - 17*y**2 + 17*y - 38. What is g*x(s) - 17*b(s)?\nAnswer: -2*s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 5\/3, 2\/31, 5?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 9*n**2 - 6*n - 5.\nAnswer: (n - 1)*(n + 5)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, z: 9}. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -55351260 (base 7) in base 9?\nAnswer: -8867583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -98.0942 - -5270\nAnswer: 5171.9058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t - t, t = 3*p - 4. Suppose -k + 4*v - 148460 = -28440, p = -3*k - 5*v - 359975. What is k rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-88)\/(-18))\/(-4) + 1. Let z = -121 - -602\/5. Which is the second smallest value? (a) 2\/7 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -673 (base 11) in base 6?\nAnswer: -3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*m + 205000 = -268055, v - 94607 = -m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -31. Let s be g\/4 + (-30)\/40. Let v be s*(7 + -4) + 6. Solve 2*b + b = 4*l + 10, 0 = b + v*l + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -31*s**3 + 81*s**2\/2 + 5*s + 17. Find the first derivative of o(p) wrt p.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from uzvkuzvvzvz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 3:46 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*i + 2*i. Let u = -77 - -81. What is the second smallest value in -2\/5, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(1815)*-5)\/(6*6*-3*sqrt(3)*-5).\nAnswer: 55*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/13 - 94\/221. Which is the third biggest value? (a) 2 (b) 0.16 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47970260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*b + 452, -2*b = -5*l - 35 + 599. Let v = 157 - l. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 16*p = 72. Put -3, p, 93, 3 in ascending order.\nAnswer: p, -3, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4462, 8894, 13266, 17548, 21710, 25722?\n\"Answer: -5*i**3 + 4467*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -4 - sqrt(17)) + sqrt(17) - (((-1*sqrt(153))\/sqrt(9))**2 + sqrt(17)).\nAnswer: -21 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/220 + 23*f**5\/165 + 8*f**4\/33 + 2*f**2 - 41*f. Factor n(c).\nAnswer: -2*c*(c - 16)*(3*c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401 = -279*x + 18571 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20176.5 centimeters in kilometers?\nAnswer: 0.201765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000331080658 rounded to 7 decimal places?\nAnswer: 0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j - 5. Let w(d) = -24*d**2 + 1420. What is w(h(a))?\nAnswer: -384*a**2 - 960*a + 820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 4 (b) 123 (c) 5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, m: 1, b: 1, c: 1, k: 3}. What is prob of picking 1 c, 1 m, 1 i, and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*sqrt(6912))\/(-3*-5*sqrt(4)*-1))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 27*m = -193 - 5 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.9999991 - 25. Let w = -0.8 - -0.8. Let g = z + w. What is g rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpii when four letters picked without replacement from {k: 2, i: 5, p: 4, f: 7, d: 2}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-91)\/21*(1 + -163). Suppose 2*t + 222 = v. Suppose 5*y = 17*y - t. Solve 4*g = -2*c - y, -2 = -g + c - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*o - 32 + 93, 4*o = y + 2. Suppose 3*p - 4 = 4*a, -p = p + 5*a - y. Differentiate -4*j**p - 8 + 18*j**4 + 0*j**4 + 0 wrt j.\nAnswer: 56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and 1.4?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 726232415 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/7952 and 121\/79520.\nAnswer: 79520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 66 - (6 + 29 + -39)\/((-18)\/99)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 - 1)*(4 - 1 - 1) + 2 + 0 + 1)*(0*g**2 + g**2 + 0*g**2).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 14) in base 3?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (99066\/(-9))\/(-19)*((-365)\/(-10) - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 198a - 11?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/((-11)\/44).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 1.2, -2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 + 55\/(-15) - 1*-1 and 139\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-41))\/(c\/(c\/c**1))*(c\/c**(1\/23))**(-23) assuming c is positive.\nAnswer: c**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2905660167 to the nearest integer?\nAnswer: 53904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b = 98*b - 5*s + 24, 2*s - 4 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 55, 131, 241, 385, 563?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3195 is divided by 3176?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(1 + 2 + 11)*(-2 - 2 + 6)*(2*p**2 + 2*p**2 - 3*p**2).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 - -145. Is 58 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-4)*(-22)\/33)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 1, a: 5, b: 3, t: 2, q: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928 + (-17)\/(119\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-7))**(-30\/7)\/((s*(s**(-21)*s*s)\/s)\/(s*s**20*s*s*s)))**(2\/9) assuming s is positive.\nAnswer: s**(62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:15 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45569504?\nAnswer: 2, 31, 71, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 12*n - 17*n. Let s(r) be the first derivative of 2*r**4 + 2*r**3\/3 + 3*r**2 - 5*r + 7. Is s(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 204526.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77448 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 338, -5938\/7?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2 - 5. Suppose -2*n - 41 = q*s - 3*n, s = n - 17. Let r be (s\/10)\/(4\/20). Let v(i) = -i**2 - 7*i - 1. What is v(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.37 (b) -2\/7 (c) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 15. Let y(h) = 10*h - h + 8*h + 7*h - 34*h. Calculate y(u(b)).\nAnswer: 20*b + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365689 is divided by 3621.\nAnswer: 3589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 6516.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s - 15 = 0. Let w(d) = -d**2 - 4*d + 1. Let l be w(s). What is the least common multiple of 21\/6*l*1 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 75*z**2 + 1540*z + 1505. Let n(q) = 51*q**2 + 1026*q + 1003. Let w(t) = 7*j(t) - 10*n(t). Factor w(h).\nAnswer: 5*(h + 1)*(3*h + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-2415)*(-3680)\/(-320)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - -27. Suppose -13*k + 8*k + y = 0. What is the remainder when 49 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2. Let k(s) = 81*s**2 + s. What is q(k(b))?\nAnswer: 13122*b**4 + 324*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 8360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-44)\/(-2200))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 22 = 6. Let a = m - -1. Let i(d) = -3*d + 3. Let z be i(-3). Calculate the highest common divisor of a and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6039875 is divided by 754978.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30238 + -32311. Is -2073 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -0.129436997977.\nAnswer: 0.270563002023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5189, -4 in descending order.\nAnswer: -2, -4, -5189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/158 and 47\/16.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u - 3. Let r be n(-5). Let s(c) = -8*c + 5. Let b be s(4). Let m be (1 + b\/r)*89. Round m to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/4*1*-2. Let w be 13 - ((-8)\/h + -5). Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 73*f**3\/3 - 126*f - 424. Differentiate h(d) wrt d.\nAnswer: 146*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 2}. Give prob of sequence zzt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/11920 and 29\/36865.\nAnswer: 87886160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27390.\nAnswer: 2, 3, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 120757, 113605, 106453, 99301?\n\"Answer: -7152*k + 127909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*q + j - 16, q = 5*j + 4. What is the common denominator of (63\/540)\/(q\/(-170)) and 5\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*j + 22 = 0, -26*f = -15*f + 3*j - 33 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*k = 4, 4*j + k = 5*k - 28. Let b be 30*j\/(-15)*18. Suppose 0 = -4*i + b + 32. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4596.402651936 - 13?\nAnswer: -4609.402651936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4473247 (base 8) to base 10.\nAnswer: 1210023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(3*(-4)\/(-150)). Suppose -5*x + 2*y + 99 = 1, -x - 5*y = -z. Suppose -4*s = s - x. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1597 + 701 - 896)*(2*h + 0*h + 0*h) to the form g*h + d and give g.\nAnswer: 2804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -4169127756901.\nAnswer: -4169127756901.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.07, -0.3, 3, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 10*n = 0. Suppose f + 4 = n, 2*y + y = -3*f. Solve 3*d = -2*b - y, -d - 3*b + 2*b - 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 65, 89?\n\"Answer: 24*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1419 * -4757.\nAnswer: -6750183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 80*i - 160. Calculate d(-38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -8.6\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a\/a**(-1\/8)))\/a))**9 assuming a is positive.\nAnswer: a**(153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 5*v = 184, -2*v = -3*k - 1491 + 1424 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17861785?\nAnswer: 5, 3572357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -26*t - 16. Let d be b(-2). Let v be (100\/45)\/(4\/d). Solve 0*x + v = 5*x - y, 9 = -2*x - 3*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l + 1. Let s(i) = -5*i - 12. Determine -14*h(z) - 2*s(z).\nAnswer: -18*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by -1 + 16 - (1 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -97.\nAnswer: 13\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 - 220*m**2 + 77*m - 289. Give u(73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**2 + 3*r**2 - r - 1020 + 1020 as j*r + f*r**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -406267 or -406266?\nAnswer: -406266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 3}. Give prob of sequence vvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:06 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 40 = 3*b - 29, -2*o = -b + 15. What is the lowest common multiple of b and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 0, 39*x + 7 = 38*x + 4*p - 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11209?\nAnswer: 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 263128\/(-46500) - (-44)\/12?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 14}. What is prob of picking 2 e?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**3 - 39*i**2 + 16*i - 58. List the prime factors of o(16).\nAnswer: 2, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from hehhhhehhhhhhehh.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3945732?\nAnswer: 2, 3, 7, 107, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-33) - (-4)\/(-22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h - 1. Let k be a(-3). Suppose k = -0*u + 8*u. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 176196?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*x + 3*a, 3*a + 2 = -1 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 314.\nAnswer: -219.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0 - 2 - 1 + 3 + 1. Let u be 56\/(-9) - (-4)\/18. Let i(g) = -2*g - 9. Let v(h) = u*y(h) - i(h). Let l(j) = -2*j - 3. Calculate 3*l(q) + 4*v(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 44\/16) + 2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/10)\/((24\/(-1410))\/(-4)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10871*3.\nAnswer: -32613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-129)\/12 + 2\/(-8). Let p(a) = -12*a - 21. Is p(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2923370*s**2 - 4931086?\nAnswer: -5846740*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 3, y: 1, r: 3}. What is prob of picking 1 x and 1 r?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*x + x = 263505, 5*x - 210800 = -4*w. List the prime factors of w.\nAnswer: 5, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2999410 or 29?\nAnswer: -2999410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 174851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 34*o + 33. Let p be c(1). Let s = -91 - -243. Suppose 0*d = p*d - s. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*n = -318 - 5 - 79 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-5)\/(-1))\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 16 = 0. Solve 2*a + 5*m + 4 = 0, 0 = 3*a - m + n - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(2\/6*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r - 431 = -1187. Suppose 9*c - 7*c = -k + 9, -k = 5*c - r. Solve 25*b - 23*b = c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 13475?\nAnswer: 6737.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - -1 - (-9 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2224195 * 0.192.\nAnswer: 427045.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0*o**4 + 3\/10*o**5 - 5\/2*o**2 + 8*o + 11\/6*o**3 + 0. Let p(j) = 2*j**3 + 4*j - 2. Determine -4*i(g) + 11*p(g).\nAnswer: -2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.2 - -20.28. Let h = -0.78 + g. Let r = 2.8 + h. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/94 less than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 15. Let k(h) be the third derivative of 1\/90*h**5 + 0*h**4 + 1\/504*h**u + 0 - 2*h**2 + 0*h - 1\/315*h**7 - 1\/180*h**6 + 0*h**3. Factor k(g).\nAnswer: 2*g**2*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 11*n**8\/14 + n**5\/10 + 43*n**4\/12 + 5*n**3\/6 - 2826*n. What is the third derivative of h(r) wrt r?\nAnswer: 5280*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*g - 141 = 134, 220 = 4*k + 5*g. Let b be (11 + -5)\/((-6)\/4). Calculate the remainder when k is divided by (-114)\/(-4) + 2\/b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02924031 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 67*n - 197. Let d be f(3). Let q(x) = 16*x**3 - 6*x**2 + 4*x - 2. Let s(l) = 17*l**3 - 7*l**2 + 5*l - 3. What is d*s(y) - 5*q(y)?\nAnswer: -12*y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 82.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7250950 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12966 - 12966 - 49*f**3.\nAnswer: -49*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3335.\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c - 130. Find the second derivative of -4*a - c + 26 - 5*a**5 wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u + 62. Determine m(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = 130*j - 995 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2824387 kilograms in micrograms?\nAnswer: 282438700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 38. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 137*y**3 + y**2 - 2*y - 4. Let s be j(-2). Let o = s - -1993. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyfhyyyybshyyyyyysyy?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 24. Suppose -7 = 4*g + 1. Let a be g\/9 + 4\/18. List the prime factors of v(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 22. Let b be (-7)\/w - (-1)\/2. Suppose b = 3*y - 2*x - 75, 4*y + 4*x - 126 = -6. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -362, -1, -0.3?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 8. Let w be z(-10). Let u be 18\/w*(0 - 15). Suppose -5*b = -25 - u. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 32 = -24*w, 22*p - 18*p = -w - 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = n + 27, 3*n - 32 + 9 = -f. Let r be f\/150 - 42\/315. Which is the closest to r? (a) -0.2 (b) -1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/40 - g**4\/24 + 2*g**2. Let s = -6 - -5. Let t be u(s). Solve -t*v - 5*n + 3 = -8*v, -5*v - 2*n + 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -65*g - 3185. Give k(-49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2 - 5*q + 3. Suppose -u = -5*t - 3*u + 25, 20 = 4*t - 5*u. Suppose t*h = 23 - 3. Let p(x) = 5*x**2 - 4*x + 2. Determine h*p(k) - 3*c(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -117356 (base 8) in base 3?\nAnswer: -2001210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6352 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255255 equal to 2254871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3 - 3) + (0 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 0 + 0 + 6*n - 7*n. Let t(w) = -3*w. Give i(t(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 257, -86, -567, -1186?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-22)*10748\/(-83297).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 5*u**5\/3 - 55*u**4\/24 - u**3\/3 + 1214*u**2. Find the second derivative of r(o) wrt o.\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 1. Let h(r) = -5*r**2 + 2*r - 38. Let u(g) = h(g) - 6*o(g). Let i be u(-7). Solve 3*c = -0*s - 3*s, -4*s + i = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6.4. Let h = -0.1 + u. Do -0.2 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*-2*(-9)\/38*(-1112)\/(-10008)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/(((-7)\/16)\/(-7)) and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122.7530918467 less than -7.8?\nAnswer: -1130.5530918467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 8) to base 13\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*l - 75, -3*l + 1 = -4*s + 101. Let h be 370\/s - (-8)\/40. Solve 4*k - 3 = -h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = -15. Suppose -18 = -5*k - g. Let 85*b**3 + 39*b**2 - 10*b**k + 6*b + 9*b**4 + 33*b**4 = 0. What is b?\nAnswer: -1, -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 2*w**2 + w + 2. Let i be f(-2). Let c(v) = 2*v. Let x be c(2). Suppose x*l + l = i. Solve l*q - 5*q - 25 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**9\/5040 + 11*t**8\/6720 + t**7\/210 + t**6\/180 - 79*t**4\/12 + 21*t. Let v(i) be the third derivative of s(i). Factor v(f).\nAnswer: f*(f + 1)*(f + 2)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3713001*l + 20. Let m be o(20). Round m to the nearest 1000000.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19725830 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5482 + 0.0952. Round d to 2 dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37081039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 85*x + 378741 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 4*g - 4, -5*u - 2*g + 63 = 0. What is the units digit of u - (0 + -1)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/557928 and -73\/681912?\nAnswer: 6137208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 176 = 4*v, 0 = b - 6*b + 20. Let o be 14\/6 + (-28)\/v. Let d(h) = 3*h - 3. Let f be d(2). Calculate the greatest common factor of f and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/4 - r**3\/3 - r - 68. Let a(v) = 59*v**3 + 3*v**2 - 47. Let x(i) = -a(i) - 3*p(i). Differentiate x(u) wrt u.\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 1. Let j(p) = -3*p - 33. Let z(s) = -j(s) - 4*k(s). Let y be z(16). Let f = -77 + y. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11010 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 - 40253*o + 402534\/5.\nAnswer: -(o - 2)*(o + 201267)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55\/15 + 0 - 2. Let h = b + -17\/9. Suppose 3*u + 12 - 2 = -j, -2*j + 4*u = -20. What is the nearest to j in -3\/5, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/7)\/((m\/((m\/((m**(-5\/2)\/m)\/m))\/m))\/m)*m**(2\/13)\/(m\/(m*m**(-2)*m)) assuming m is positive.\nAnswer: m**(717\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = -17*m + 129 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxjxxxxxjxjnpjsxjjp. Give prob of sequence jnp.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 31*s + 102 - 427 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 18. Suppose 5*b - 5*a = -5, -4*a + i = 3*b - 0*a. Suppose 3*p = 3 + 3. Solve 4*k + s - 8 = 0, b*k - s - 2 = -p*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l + 2. Let f be k(-2). Let c = f + -11. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5 - 18 - n**2 + 21*n - 37*n. Let y be m(-14). Suppose -3*p + 1795 = 4*o, 1188 = y*o - 3*p - 1076. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 14. Let g be 65\/25 + -3 - 99\/15. Sort -3, v, g in decreasing order.\nAnswer: -3, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 - 4.1. Let z = -2107 + 2108.0004. Let h = z + t. Round h to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5572 and 116216?\nAnswer: 813512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s = -28*s + 39*s. Solve s = 15*q - 8*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99 - b220?\nAnswer: -b2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 487*d + 120 - 120 in the form x + w*d and give w.\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (12 + (2 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8\/192*-4 + 106\/(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2402705 + -1219095. What is g rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 3*z**5\/20 + z**4\/4 + 7*z**3\/6 + 120*z. Let h(y) = -6*y**3 - 5*y**2 - 13*y. Calculate 5*a(g) + 3*h(g).\nAnswer: -3*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 18. Suppose -h*r + 892 = -207. Suppose r = 3*p + 40. Calculate the remainder when 155 is divided by p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(152) - sqrt(152))\/sqrt(8) - (-1*1*sqrt(19) + sqrt(19))) + -5)**2.\nAnswer: -10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 12) to base 13\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 29. Let q be (1 + 0)*(1 - -9). Let s be 194 - (q\/2 - (4 + 3)). What is the highest common divisor of s and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.2. Let j(a) be the second derivative of a**4\/4 - 2*a**3 + 3*a**2\/2 - 123*a. Let m be j(4). Sort -0.5, o, m in increasing order.\nAnswer: -0.5, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4070, -2, 3428?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.9862 - -42. Round d to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + i + 3*i**3 + 0*i**3 + 0*i + 6 in the form g*i + r*i**2 + y + x*i**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.0739 + -0.0739. What is the fourth smallest value in f, -3, 1\/31, 0.05?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10117679 and 1001.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 28 = 7*c. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 848 - -347. List the prime factors of c.\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30)\/(-270)*0 + 123 + 0 is divided by 72.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365539248.\nAnswer: 2, 3, 2538467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 18.0752?\nAnswer: 17.8752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**3 + g**2 - 4. Let f be (35 - 46)\/(0 - (-1 - 0)). Let w(j) = -20*j**3 + 3*j**2 - j - 11. Give f*l(h) + 4*w(h).\nAnswer: -3*h**3 + h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 346 - 343. Suppose 5*h - 18 = 7. Solve p*v = h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9570 is divided by 371.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + n + 2)*(26*n**4 + 202*n**4 + 59*n**4).\nAnswer: 287*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*7*(-78)\/(-91). Solve 0 = i + 2*i + r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 7. Let f(j) = -4*j + 20. Let b(q) = -2*f(q) + 7*z(q). Give b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Let n = 168 + -167. Let w = 696 - 689. Which is the nearest to n? (a) -0.4 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -245*n**5\/4 - 5195*n**4\/4 - 9135*n**3\/4 + 23095*n**2\/4 + 8245*n + 1425 = 0. Calculate n.\nAnswer: -19, -3, -1, -10\/49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qghg when four letters picked without replacement from pvqpqqgqppqpghq.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83810 and 125715?\nAnswer: 251430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*j - 107*j**2 + 29*j - 2*j**4 + 4*j**3 - 1 + 107*j**2 to w*j**2 + v*j**4 + n + f*j + t*j**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 1 - 1)*(0 - 2*d + 0) + 8*d**2 + 2*d + 4*d**2 - 2*d**2 in the form m*d**2 + k*d + t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 13. Let b = o + -5. Suppose -3*x - 4 = 5*i, 3*x = -3*i - 2 - 4. Are i and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 6*x**2 + 7*x. Let a be l(7). Suppose 19*q - 17*q - 28 = a. Solve 0 = 4*w - q + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 6:39 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*r + d - 27, -4*d = -2*r - 18. Let g = r + -381. Find the common denominator of 70\/g - (-2)\/9 and 75\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u + 7*u)*(-u + 10*u - 3*u) + 4*u - 4*u - u**2 to r + l*u + y*u**2 and give y.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - p + 92, -2*u + 4*p = -4*u + 60. Solve 0 = -t + 5*h + u, 0 = 3*h + 22 - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 1, 3, -121640?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.73*-3485.\nAnswer: 2544.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4880.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {t: 2, f: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.897 + -1.103. Which is the third biggest value? (a) 0.495 (b) o (c) 11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*t + 9 - 108*t + 82 + (3 + 1 - 2)*(1 - 2 + 5)*(2 + 2 - 2)*(-8*t + 0*t + 2*t) in the form w*t + h and give h.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 - -0.238. Let f = x + -0.09. Let i = f + 0.962. Round i to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 152. Let l be v(0). Suppose l = -2*b + w + 561, 2*w = 10. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 - -112. List the prime factors of 2 + 2 - p*1.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 5*n - 1. Let r be w(0). What is the units digit of 1\/(-2) + (274\/4 - r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 1. Suppose 0 = -i + 6*i - 5. Give g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*k - 3, -3 = -3*k - 10*s + 13*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 3*k**3 + 1635*k**4 - 2026*k**4)*(3*k + 2*k - 3*k).\nAnswer: -782*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1468*x**3 - 1967*x**3 - 1326*x**3 - 340*x**3.\nAnswer: -5101*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24845060278.53 - -0.05\nAnswer: -24845060278.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, z: 9}. Give prob of picking 2 z.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 4}. What is prob of picking 3 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*t - 2*t + 33, -54 = -2*m - 5*t. Let l(p) be the third derivative of p**4\/4 - p**3\/6 - 9*p**2. Let v be l(3). Is m smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.95331 millennia to years.\nAnswer: 1953.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - p**2)*(2*p + 2*p - p)*(2 + 3 - 3)*(-2 - 4 + 1) + 212549*p**2 + 194*p**3 - 212549*p**2 as x + o*p**2 + f*p**3 + s*p and give f.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-546)\/13)\/(-7))\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = -o. Let a = o + 55. Suppose 0 = -4*i + a + 28. What is the remainder when 49 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 8*w**2 + 2*w + 26. Let f(u) = -3*u**3 - 13*u**2 - 3*u - 27. Determine -2*f(t) - 3*m(t).\nAnswer: -6*t**3 + 2*t**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1709*s**3 - 1698*s**3 + 2679*s**3.\nAnswer: -728*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220625 and 1000755.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -29. Let z be -65*(2 - (-36)\/(-15)). Let h = z - j. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(245) - 3*sqrt(245)*1 - sqrt(245)) - (-1 + sqrt(245)*4 + -1))*-1)**2.\nAnswer: 140*sqrt(5) + 6129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13377 (base 15) in base 16?\nAnswer: -f061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -33303201230?\nAnswer: 33303201232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -3, 2\/29675, -1?\nAnswer: 2\/29675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*((-56)\/1862)\/((-18)\/171).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 5*v. Let i be ((-10)\/(-2))\/(-3 + 2). Put -3, v, i in decreasing order.\nAnswer: v, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8443888 or -8443883?\nAnswer: -8443883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20091, 20557, 21023, 21489, 21955, 22421?\nAnswer: 22887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*h + 5*g - 6*g, -5*h - 3*g = -51. Solve -8*z = -h*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -44*k**3 - k + 1. Let p = 1491 - 1490. Calculate t(p).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*h = 29 + 4, -2*o = 4*h - 26. Solve 1 = 5*n - d, 2*n - 6 = o*d - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20477?\nAnswer: 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-246275590\nAnswer: -246275590.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1104 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (3 - 8\/2 - (10 + -11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22050\/2625)\/(70\/(-875))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-30)*10\/(-4). Let y be (-50)\/30 + -2 + 7 + -4. Which is the closest to y? (a) 5 (b) 13 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -5*f. Let z be 1\/2 - f\/(-2). Suppose -4*h = -g - 4, z = -3*h - 0*h - 5*g + 26. What is the second smallest value in h, 5, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -6 + (-7 - (12 + -31))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -184, -2 in ascending order.\nAnswer: -184, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 2*p**7\/7 - p**5\/10 - 11*p**3\/6 - p**2 + 3*p + 9. Find the second derivative of t(x) wrt x.\nAnswer: 240*x**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Let g(t) be the first derivative of -t**2 - t + 34. Calculate 2*g(i) + 3*r(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-358)\/(-3014))\/((-6)\/108). Let r = 6\/137 - u. Calculate the common denominator of r and -1*65\/(-225) + (-4)\/10.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -1576 (c) 9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1665 + -17287. What is t rounded to the nearest 100?\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 520, -2, -6, 428 in increasing order.\nAnswer: -6, -2, 428, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + 120\/224. What is the closest to d in 0, 3\/5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*l**3 + 25926*l + 20457193.\nAnswer: 66*l**2 + 25926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41\/3 in 1, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = -4*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/585 and 55\/6.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12502 and -3859.\nAnswer: -48245218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -9518, 2\/11 in increasing order.\nAnswer: -9518, 2\/11, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5366\/201 or -27?\nAnswer: -5366\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0156 - -0.3844. Let s = 0.13 - 1.33. Let z = 1 + s. Which is the third biggest value? (a) u (b) 14 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76767098*j**5 + 86155327*j.\nAnswer: -1535341960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64272\/3296*16\/6.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 279003908 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w)\/(w\/(w*w\/(w**(-3\/10)\/w)))*(w**(-1\/4))**(-39)*(w*w*w*w**(1\/5)\/w)**(-3\/13)*(w**(1\/3))**46 assuming w is positive.\nAnswer: w**(28763\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569, -2261, -5079, -9023, -14093?\nAnswer: -20289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -3*b**7\/70 - 5*b**6\/8 - 59*b**5\/20 - 47*b**4\/8 - 5*b**3 - 174*b**2. Find n, given that l(n) = 0.\nAnswer: -5, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-10 + 9) - (52 + -40 + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 53*n**2 + 3*n - 143. Let z be f(53). Let j = -0.019 - 0.181. Which is the second biggest value? (a) -4 (b) 3\/4 (c) j (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0)\/s*s)**(-2\/67)\/(s**(-1\/4)*s**1) assuming s is positive.\nAnswer: s**(-209\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b - 17. Let o be x(-5). Solve n - 3*n - 8 = 2*r, -5*n + o*r = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/7 - 15*b**3\/7 - 192*b**2\/7 - 80*b - 384\/7.\nAnswer: (b - 24)*(b + 1)*(b + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*94609.\nAnswer: -2554443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39935631, -39935625, -39935619, -39935613, -39935607, -39935601?\n\"Answer: 6*w - 39935637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:31 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(1\/44))**(-17\/5)\/(p*p**1*p*p\/(p*p**(-2\/19)))**(3\/4) assuming p is positive.\nAnswer: p**(-5029\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0 + 1\/120*c**4 + 1\/100*c**5 + 1\/200*c**6 + 0*c**3 - 6*c**2 + 1\/1050*c**7 + 0*c. Find t such that d(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 j, and 1 h when three letters picked without replacement from {p: 6, j: 2, h: 10}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*q - 4*q. Suppose y = -q*y + k + 637, -k = -3*y + 479. What is the remainder when y is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2 + 4287976*i + 2298342272072 = 0.\nAnswer: -1071994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 1\/6*m**3 - m - 1\/2*m**2 + 0 + 1\/12*m**4. Suppose -4*c - 2 = -3*p, 3*p + 2*c = 3 - 13. Determine z(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1533 + -285. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270642 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 19*p - 32*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7681 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 5)*(-o**4 + 0*o + 0*o) - o**4 + 2*o**4 - 2*o**4 - 3*o**4 + 2*o**4 - 5*o**4)*(-o + 0*o + 2*o).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v - 3. Let d(m) = -m. Let x(i) = 6*d(i) + u(i). Find the first derivative of x(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/2 + 3 - -5. Solve -m*o - 19 - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from giagggigjgygytj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**2 + 4*o**3 - 6*o**3 + 27*o**2 - 3*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 21 + 21*s + 7)*(16*s**4 - 13*s**4 + 46*s**4).\nAnswer: 1029*s**5 + 49*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198408 is divided by 93?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/4665?\nAnswer: 2\/4665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 746 + -742. Let u(z) be the third derivative of -8*z**2 + 0 + 0*z + 0*z**3 - 3\/8*z**f. Let r(b) = -2*b. Calculate r(u(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 4*x, -i = -5*i - 4*x + 20. Suppose b - 7 = -r, -3*b + r + 26 = i*r. Find the second derivative of -2*k**2 + 2*k**b + 2*k**2 - 2*k wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-35))\/(4*5\/(-25)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - (1 - 4) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -731 + 733. Let h(y) be the first derivative of 4*y + 8\/5*y**5 + 0*y**2 + 0*y**4 + 0*y**3 - c. Differentiate h(d) wrt d.\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -5.929 (b) 10 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/4 + 34011*u**3\/4 + 509679*u**2\/4 + 2140005*u\/4 + 832167\/2 = 0. Calculate u.\nAnswer: -11322, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 31813*i**2 + 276*i - 9. Is n(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 229\/5. Let m = -0.06 + 0.06. Which is the nearest to -1? (a) m (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*p = 132 - 145, -13 = -5*b + p. Let m = -7 + 14. Calculate the least common multiple of m and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5))**2 + -2 + -1*sqrt(1584) + sqrt(1584).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 20900*z**2 + 25402988*z + 5040943892.\nAnswer: 4*(z - 2699)**2*(z + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i)\/i**4)\/(i*i*i**(-1\/2))**(-49) assuming i is positive.\nAnswer: i**(127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/11 (c) 2\/9 (d) 141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + l**2 - 5*l + 21. What are the prime factors of t(4)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 16. Suppose v - b = -5*n, 3*n + v + 3 = 4*v. Let t(r) = 4*r**2 - 3*r - 4. Is 13 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/35 and -94\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1415783 divided by 56.\nAnswer: 1415783\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from bbbhpbbhfbpbhffhfh.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {l: 3, n: 7, s: 1, k: 2, v: 3, x: 2}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**3\/8 + 233731*m**2 - 291361585207*m\/8 + 97120112881\/4 = 0.\nAnswer: 2\/3, 311641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.7 + -1.3. Let m = 0.6 + p. Let c = 2.006 - m. Round c to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 + 1. Let z(j) = -5*j**3 - 1. Suppose 4*h + 4*p + p = -9, h - 19 = 3*p. Give h*z(q) + 7*s(q).\nAnswer: q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -0.37. Let m = -0.1 - -0.1. Let h(x) = x + 5. Let d be h(-4). What is the nearest to m in 2, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-2*f + 4*f - 4*f) - f + 4*f - 5*f - 88*f + 1004 - 1004.\nAnswer: -94*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/7 + 38\/21. Let c = 2 - 2. What is the smallest value in j, c, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(28)\/sqrt(2))*1)\/((sqrt(280)\/sqrt(5))\/sqrt(8)) + (2 + 2*sqrt(32) + 0)**2.\nAnswer: 32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(176))\/(1*sqrt(484) + sqrt(484))*-1 + 1 + 0.\nAnswer: sqrt(11)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6 = -2*b, 5*c + 11*b - 13*b + 14 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20.534 from -1730.\nAnswer: -1750.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12033 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 669, 676, 687, 702, 721?\n\"Answer: 2*g**2 + g + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -249*a**3 + a**2 - 448*a.\nAnswer: -1494*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*t - 19980 + 1157 = 14237 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40330324 (base 7) to base 5.\nAnswer: -1324230321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 2250*l + 15661. Give n(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let u(o) = o**2 + 10*o + 12. Let h be u(-9). Suppose 0 = 2*d - h - 1. Let f be q(d). Solve 0 = c - 5*c - 3*n - 17, -7 = -f*c + 5*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 - 20*w - 27. Let r(z) = -2*z**2 + 10*z + 13. Let d(h) = -3*i(h) - 7*r(h). Give d(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5199749544?\nAnswer: 2, 3, 11, 43, 458047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-70)\/42)\/((-45)\/54). Solve -30\/7*m**4 + 2*m**q - 18\/7*m**5 + 0 + 4\/7*m - 2\/7*m**3 = 0 for m.\nAnswer: -1, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -752 or -8260\/11?\nAnswer: -752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (6 - (12 - -4)) - 2 - -37?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 167.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 86531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 39, -6555741*n - 4*v = -6555746*n - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -66\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/5, -0.691, -2\/11, -3.8 in ascending order.\nAnswer: -3.8, -0.691, -2\/5, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2042947 and 129777?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34135*q**5 + 3*q**2 - 68*q + 1.\nAnswer: 2048100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -69.63.\nAnswer: -76.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46795759 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) -1\/3 (c) 26 (d) 0 (e) -19\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 4*z**2 + 2*z**3)*(2*z + 0*z - z) + 7*z - 365093 + 2*z**3 + 365089 - 47*z**4 - 4*z**3.\nAnswer: -45*z**4 - 2*z**3 + 7*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5702, -11403, -17104, -22805?\n\"Answer: -5701*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Suppose -q*o + 95 = 4*c, -c + 5 + 27 = 4*o. Solve 5*f = 5*b - c, 0*f + 12 = 2*f + 3*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 685*c**3 + 769*c**3 + 4 - 5.\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v**2 - 2*v - 4. Let j(y) = y**3 + 2*y + 3. Let k(s) = -6*j(s) - 4*l(s). Determine k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 3*d**3 + 0*d**3)*(2*d + 0*d - 5*d) + (-2*d - 2*d + 2*d)*(0*d**3 - 5*d**3 + 3*d**3).\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g - 19*g - 16*g.\nAnswer: -44*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3\/2 - 18*b. Let j(x) = -6*x - 5. Let h(d) = 21*d + 18. Let q(p) = -5*h(p) - 18*j(p). Determine o(q(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110631 is divided by 104?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b**3 - b**2 - 10*b - 19. What is x(-2)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2. Let m(d) = -2*d**2 + 1678*d. Calculate m(i(y)).\nAnswer: -8*y**4 - 3356*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, 1014, 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/12 - h**3\/6 - 17*h**2\/2 - 4*h + 1. Let l be n(5). Determine c, given that 2\/5*c**4 + 0 + 0*c - 2\/5*c**2 + 0*c**l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1583*j = 1582*j + 1153. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 796, 3199, 7212, 12829, 20044, 28851, 39244?\n\"Answer: -h**3 + 811*h**2 - 23*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52051.14 litres in millilitres?\nAnswer: 52051140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (8 - 33) - (-28 - -110).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41506\/9 - -4612. Let u = 15 + -18. Which is the nearest to -0.1? (a) -2 (b) -2\/9 (c) g (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 23*q - 49 = 0. Suppose 3*x - 44 = q*x - g, 0 = -4*g. Which is bigger: x or -85\/8?\nAnswer: -85\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34112131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 40145304?\nAnswer: -40145250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d**3 - 3*d**2 + 0 + 2*d - 1 + 16*d**3. Let l be g(3). Let o(r) = r**2 + 6*r + 2. What are the prime factors of o(l)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*l - 5. Let v be 1*(24\/(-20))\/l. Which is the nearest to 2\/3? (a) v (b) -4\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*p**(-1\/3))**4 assuming p is positive.\nAnswer: p**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12\/7)\/m)**(-1\/19)*(m**10)**4 assuming m is positive.\nAnswer: m**(281\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 794 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-180)\/(-550))\/6)\/(87\/(-58))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 323*s**5 - 6*s**3 - 3*s**3 + 9*s**3 - 634*s**2 - 234*s**2 wrt s.\nAnswer: 19380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1256430 and 51338.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -26. Suppose -1166 = -4*f - h*p + 2*p, 287 = f + 2*p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o + 17*o - 6*o - 8 - 7*o. What is y(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -602 - -4212\/7. Sort -0.72, 0.4, a.\nAnswer: -0.72, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -103 - 147. What is the remainder when (445\/d)\/(5\/10) is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 189\/35 - 14\/35. Solve 0 = m*p + 5*h - 2 + 7, 3*h = -p + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55303033 (base 6) to base 11\nAnswer: a31995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 - 1. Let o(x) = 2*x + x - 3*x**2 - 133 + 63 + 68 + 3*x**3. Give -2*i(j) + o(j).\nAnswer: j**3 - j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 14. Find the second derivative of 6*u + 4*u**2 + f*u**2 - 6*u**2 wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 0. Let g(h) = -8*h - 3. Let i = 461 - 462. Let f be g(i). Which is the nearest to 1? (a) 3 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/15680 and 121\/308560.\nAnswer: 8639680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/6*12\/4. Let u(f) = -4*f**2 + f + 5. Let w be u(4). Is (22\/w)\/(1\/m) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - r**2 + 2*r - 1. Let k(a) be the third derivative of a**5\/60 - a**3\/6 + 69*a**2. Calculate b(n) - k(n).\nAnswer: n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 3*f - 3. Let u(c) = -c**2 - 6*c + 6. Let v be u(-6). Is h(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -39*z - 1472. Determine b(-38).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9277268 to the power of 1\/2, to the nearest integer?\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/5)*(a**18*a*a)\/a)**(1\/45) assuming a is positive.\nAnswer: a**(91\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353, 715, 1091, 1487, 1909?\nAnswer: 2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700\/577 at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 64. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462494767*o**3 + 231247386*o**3 + 231247386*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepvvveevenqnpvbnvp. Give prob of sequence pbev.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 919, 7755?\nAnswer: 7755","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82688)\/1520)\/(-136)*575\/2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 + 7*f - 2. Determine h(-5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4147 and 47125?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89\/10 + 911\/90. Let r = 1836 - 5435\/3. Calculate the common denominator of r and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24436460 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 524246 (b) -2\/11 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 10*l**2 + 6*l + 56. Let p be j(-10). Is (6 - 390\/p)*2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/477 - 2309\/9063. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265706 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by -20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f + 492 = 0. Suppose 0 = 3*c + f - 797. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/2)*y**(-1\/21))\/(((y\/y**(-1))\/y)\/y)**(-41))**(-28\/5) assuming y is positive.\nAnswer: y**(-206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*d**3*w**3 + c*d**2 - 11*c*d*w**3 + 36*c*d*w**2 + c*d - 64*d**3 - d*w**3 wrt d.\nAnswer: -12*c*d*w**3 + 2*c - 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from cwkctpit?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/2 + 9435*u + 6202908 = 0. Calculate u.\nAnswer: -636, 19506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3453784238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwzw when four letters picked without replacement from {x: 1, w: 2, h: 3, q: 3, b: 1, z: 3}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -353, 0.053, 3, 2, -0.3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 320.00177 - 320. What is v rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 415944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 314143168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 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: What is the first derivative of -6249684*t*v**2 + 84815*v**2 - 17 wrt t?\nAnswer: -6249684*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**2 + h**2)*(-5817*h**2 + 3406*h**2 - 6390*h**2 - 2594*h**2).\nAnswer: -22790*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, -19, 63, 219, 473, 849, 1371?\n\"Answer: 4*b**3 + b**2 + b - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3319*a - 381685. Let m(g) = 23. Calculate -16595*m(q) - v(q).\nAnswer: -3319*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4849.905kg to tonnes.\nAnswer: 4.849905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 856 = -8*u, u = 5*z - 206 + 64. Let c(r) = -39*r**2 - 5. Let a(p) = -799*p**2 - 102. Calculate u*c(n) + 5*a(n).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1161264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*a - 4 - 11, 9 = 3*a. Let l(f) = f**2 + 10*f - 4. Let r be l(x). Is -4 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 463*k**3 - 9*k**2 + 5*k - 5. Let p(i) = 231*i**3 - 5*i**2 + 3*i - 3. What is -3*l(h) + 5*p(h)?\nAnswer: -234*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 947201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 94*y**2. Let t(l) = -24*l**2 + 8*l + 2. Let p(r) = -48*r**2 + 20*r + 5. Let a(s) = 2*p(s) - 5*t(s). What is z(a(n))?\nAnswer: 54144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.159, 2, -0.3, 5\/4, -5, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 + 0*y**2 + 13*y + 0*y**2 + 4*y**2 to the form p + h*y**2 + g*y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 8, 5.8, 2, -0.09, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/6 - -1\/2. Let f be (8\/(-48))\/((-2)\/(-12)). Is f less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.55 + -2.45. Which is the smallest value? (a) k (b) 4\/7 (c) -2\/5 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16973711?\nAnswer: 1877, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2932 by 4.\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 1. Let n(i) = -28*i + 6. Let z(w) = -5*m(w) - n(w). Calculate the smallest common multiple of z(1) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/68989 or -1?\nAnswer: 1\/68989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzn when three letters picked without replacement from {y: 1, o: 2, u: 2, n: 1, z: 5, g: 5}?\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -3, -0.24, -2\/5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.35.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58)\/(-18) + (1 - 22\/18). Suppose 2*r - d = x, -5*r + 9 = -3*x + 4. Solve -3*t = -c + x, -t + 9 = -6*t + c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:31 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2711 + 13493 + 2*s - 3*s + 1505.\nAnswer: -s + 17709","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.5, -2, -1.1, -38.52 in descending order.\nAnswer: -1.1, -2, -6.5, -38.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 1755 = 65*b - 10*n, -5*b + 72 = -4*n + 207 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 48. Let a be y(-24). What is the closest to a in 3, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 206 = -3*h + 30*c, 2*c = -2*h + 132. Solve -h = -10*i - 2 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 455 times -85\nAnswer: -38675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 15) in base 9?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = o. Let q be 2\/4*(-1 - o). Suppose 433*k - 191*k - 13185 = -1223*k. Solve 3*d = -q*d + k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-444 - (0 + 2)) + -1. What is the highest common factor of w and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2044*u - 48*u**2 - 12*u**3 - 2*u**4 + 50*u**2 + 2056*u.\nAnswer: -2*u*(u - 1)*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4700 = -258*d + 446*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + 155a?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2\/7 - 55\/77.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/12 - 2*c**3\/3 - c**2\/2 + 201*c - 127. Let l(y) be the first derivative of g(y). Calculate l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -73, 5, 0 in increasing order.\nAnswer: -73, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-378)*-14*3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 11*n**8\/56 - 11*n**4\/12 - 21*n. Find the third derivative of m(c) wrt c.\nAnswer: 1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/((u\/((u*u*u\/u**(2\/33))\/u))\/u)))*u)\/(u*u*u**(-7\/5)))\/((u\/u**(-5\/2))\/(u**(-4)*u*u*u)) assuming u is positive.\nAnswer: u**(-383\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -0.5 (c) -1.77 (d) -2 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ad + 2b9?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3*r - 344*a, 0 = -2*r + 4*a - 7 + 4 + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18200421 by -4.\nAnswer: -18200421\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9*(570\/4)\/(-5). Let g = 5920 - 29698\/5. Is t at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-16)*(-58)\/435)\/(297\/25 - 12)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 + 2 = 0. Suppose -l*n = -4*n - 40. What is the remainder when 18 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94420 - -94420.4. Let t = 0.2 - 0.7. Let b = 2 + -1.5. Put 3\/2, m, b, t in ascending order.\nAnswer: t, m, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 78562800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2 - 7, 2*z + 50 = -2*w. Let p = z - -88. Let d = 72 - p. Solve 7 - d = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(2*v + 2 - 2) + 6*v + 2*v - v)*(4*v - 10*v - 3*v).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - b**2 - 2*b - 4. Let c(x) = 1. Give 4*c(p) + v(p).\nAnswer: 2*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225828205 and 4920?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1 - 2)\/18). Suppose -11 = -5*o + 14. Let q be (0 - 4\/10)*-5. Solve -c + q = 0, o*c = k*v - v + 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8820447 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20820055.\nAnswer: 5, 79, 52709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5*t - 9202675*p**4*t**3 + 18*p**2*t**3 + 11*p**2*t**2 - p**2*t + 9*p*t**3 + t + 1901 wrt p?\nAnswer: 120*p**2*t - 220864200*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2838 = 217*s + 4259 + 4621 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 548, 3293, 9686, 21209, 39344, 65573, 101378, 148241?\nAnswer: 207644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 bigger than -205\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yju when three letters picked without replacement from {o: 1, u: 1, y: 1, j: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 65. Let j be (3 + 2)\/(-50)*z*2. Let p = 0.912 - -0.088. What is the closest to p in j, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00429*-0.2531.\nAnswer: 0.001085799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**7\/2310 - x**6\/660 + x**4\/132 - x**3\/66 + 3*x**2 - 7. Let m(r) be the second derivative of y(r). Solve m(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**16)**(16\/3)*((s\/(s\/(s*s\/(s*s\/s**25)*s)))\/s)\/s*s*s**(-38)\/s)**19 assuming s is positive.\nAnswer: s**(4066\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22647 - 22647 + 12*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4294419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/2 - z. Let q(n) = 17897*n + 17895*n - 35801*n. What is c(q(i))?\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 + 0.26. Let s = -2.42 - d. Let g = s - -3.4. Sort -4, g, -0.07.\nAnswer: -4, -0.07, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22694584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 126549, 506089, 1138633, 2024181, 3162733, 4554289, 6198849?\n\"Answer: 126502*v**2 + 34*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-382)\/4 + 4)*18484\/108. Let q = 15664 + u. Find the common denominator of 143\/72 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -285375, -570752, -856129, -1141506?\n\"Answer: -285377*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3) + 3 - 3. Suppose 0 = -l*f - 2*f + 56. What is the common denominator of 45\/f*(-66)\/(-15) and 15\/32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 21. Let w(o) = 8*o + 100. Let u(x) = -14*p(x) - 3*w(x). Determine u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(-8\/19)*y*y*y\/((y**(-1\/4)*y*y)\/y)*y*y**(-2\/7) assuming y is positive.\nAnswer: y**(1465\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 10:52 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 - (-10 - 0 - -28)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.6 (b) 8\/13 (c) 5 (d) 2041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 4\/7, -2\/679, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, -0.17, 13, 0.\nAnswer: -0.17, 0, 4\/15, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 21*l - 24*l. Suppose n + 2*n = -l*z + 2545, 2*n + 6372 = 5*z. Is z a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1464.01 - -1471. Let p = -0.01 - n. Let c = p - -6.7. Round c to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*k - 4*k + 4*k)*(7*k - 2*k - k)*(2*k - k**2 - 2*k) to b*k + z*k**3 + r*k**4 + q*k**2 + j and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 3*t - 3*t + (4 - 4 - 1)*(t - 3*t + 3*t) + 0 + 0 - 2*t + t - t - t + 16 - 29 - 2*t + 17.\nAnswer: -7*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/1336, -2, 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 182 in -5, -0.07, 76\/5, -3\/7?\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*c + 3*a - 29, 5*a + 9 = 3*c. Let n(x) = -25*x - 100. Let h = 167 - 171. Let o be n(h). Solve -2*g = -c - o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -234588, -469177, -703766, -938355, -1172944, -1407533?\n\"Answer: -234589*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27164588 minus 0.262543?\nAnswer: 0.00910288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {b: 4, d: 2, a: 8}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:49 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 274*o**2 + 7778*o - 72588. Let a(d) = -3*d**3 - 276*d**2 + 7779*d - 72594. Let k(u) = 2*a(u) - 3*c(u). Factor k(w).\nAnswer: -3*(w - 42)*(w - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times 165?\nAnswer: -4950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 1, -9, -23, -41, -63?\n\"Answer: -2*v**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16670\/219 + 68\/657. Let p = t + -76. Suppose -2*a = 2*h - 8, h - 10 = -4*a - h. Which is greater: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -103, -137, -147, -127, -71, 27, 173?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3803540568 divided by 6\nAnswer: -633923428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.1. Let k = -2.88 + -0.12. Which is the nearest to -0.2? (a) 0 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 0*j + 0*j + 0 + j**2 + 0 + (j - 4*j + j)*(-j - 2*j + 4*j) - 2*j**2 + 2*j**2 - 6*j**2 + j**2 + 5 - 5 as n*j + x + m*j**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 161? (a) 4 (b) -564 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -48373?\nAnswer: 48374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + l**2 + l - 1. Let w(x) = 71*x**3 - 4*x**2 - 2*x + 6. What is 4*t(y) + w(y)?\nAnswer: 67*y**3 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/8251 or 0?\nAnswer: -14\/8251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 - 11. Let t = 6380 - 6369. Let y(q) be the first derivative of -q**3\/3 - 4*q - 8. Give t*y(l) - 4*s(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 67 = -s, z + 3*s = s + 13. Let m = 38 - z. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-3 + 1)\/2132). Let x = -366 - m. Let v = x - 10. Round v to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 169971 = -174408. What are the prime factors of u?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 592, 576, 554, 526, 492?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*i + 37*i + 3. Let w(m) = -2 + 208*m - m**3 - 3*m**2 - 208*m. Calculate w(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.047 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 416*a - 131*a + 4232 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1887 - -107\nAnswer: 107.1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003946 rounded to four decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593327205?\nAnswer: 3, 5, 23, 573263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**21)\/d**(-12) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2 - 22. Is ((-2)\/4)\/(q\/(-10)) + 408 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3122 (base 6) in base 16?\nAnswer: -2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((9 - 2) + -4) - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.1 + -19.9. Which is the biggest value? (a) -3\/7 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 0)*3\/(-6). Suppose f - 63 = -n*f. List the prime factors of 6\/f - (-290)\/14.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by (-120)\/(-20) + (-4 - -7)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 2*i - 1. Give x(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20122 (base 3) to base 10.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15421?\nAnswer: 7, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -125*k**4 - 1313900*k**3 - 3453454670*k**2 - 4142726700*k - 1242676125 = 0.\nAnswer: -5255, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 41\/(-3*1*35\/(-105)). Which is the nearest to y? (a) 0.5 (b) 4\/7 (c) -6 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 660, 640, 594, 516, 400?\n\"Answer: -b**3 - 7*b**2 + 8*b + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**4))**(-28)*(t**0)**(7\/6) assuming t is positive.\nAnswer: t**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2*k + 19, -14*k + 5*f + 16 = -11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 28*a + 1 - 2.\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u + 232 - 1097 = 789 + 1701 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from iiiuiiu?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, 4852.\nAnswer: -3, 0.2, 4852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -44, 2, 6, 3, -3 in decreasing order.\nAnswer: 6, 3, 2, 1, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 204 = 3*o, 5*y = 5*o + 559 - 189. Suppose -y = -q + l + l, 3*q - 205 = 4*l. What is the remainder when q is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1787 divided by -617.\nAnswer: -1787\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(-4) + -2 + 2. Let o = -279\/22 + k. Let f = -278 - -278.1. Sort f, -2\/5, o in decreasing order.\nAnswer: f, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 4)*(-230*i + 601*i + 820*i) - i - 1 + 1)*(-i - 1 + 1).\nAnswer: 1192*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9510 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/7 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65 + 23*w**2 + 28*w**2 + w**5 - 50*w**2 + 2*w + (-2*w**2 + w**4 + 2*w**2)*(1 - 1 - 2*w) - 2*w**5 - w**4 + w**4.\nAnswer: -3*w**5 + w**2 + 2*w + 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12484 - 5455. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60, -353, -1140, -2667, -5180?\n\"Answer: -41*h**3 - h**2 - 3*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -1398\/61?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:27 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 4, n: 1, t: 7, x: 2}. Give prob of picking 3 u and 1 t.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p - 3*p + (0*p + 2*p + 0*p)*(2 - 3 + 0))*(-31 + 31 - 90).\nAnswer: 360*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.021 - 25.979. Let o = 25 + d. Sort -2, 3, o.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 17 = 4*l, -5*p - 4*l - 23 = 2. Let u be p + (5 - (-95)\/(-20)). Let y = -42 - -251\/6. What is the closest to 0 in y, u, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9133420?\nAnswer: 2, 5, 17, 26863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 19*h**3 + h**2 - 7*h. Suppose -4*m + 0*m - 16 = 4*s, -8 = -4*s. Let t(o) = 3*o**3 - o. Let u(q) = m*p(q) + 39*t(q). Let u(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -350.4, -4, 2, 0.4, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -478817 and -31840.\nAnswer: -510657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2109938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003893626 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 less than or equal to -1145\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2250\/109343 or 0?\nAnswer: 2250\/109343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 9. Let m(u) = -3*u**3 - 2*u**2 - 3*u - 3. Let d be m(q). Let y = d - 16. Solve -3*l = 5*f - 7, 4*f + y*l = 8 - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -32. Let m = h - -23. Calculate the highest common factor of 50 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czf when three letters picked without replacement from zfcfzcyfcyc.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5 - 4*l**2 + l**3 + 0*l**2 + 0*l**2 + 2*l. Let w be y(4). Suppose w*s + 429 = 6*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and 162.78.\nAnswer: -5534.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 28 - -13 - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123b900 (base 12) in base 7?\nAnswer: 42211653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 9. Let a(o) = -1. Let g(x) = -2*a(x) + z(x). What is the first derivative of g(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**4\/7 + 131874*a**3\/7 + 18837*a**2.\nAnswer: 3*a**2*(a + 1)*(5*a + 43953)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 2*v**3 + v**2 + v**3)*(5*v**2 + v**2 + 0*v**2).\nAnswer: 12*v**5 + 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2176 and 1296352.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15)\/(150\/(-1615)))\/((-1)\/(-4*37))?\nAnswer: 2, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 13707 = 13564 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 4*b**3 - 1.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 21357830?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 18 = 44*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 0*p**4 - 4*p**4 - 2*p**2 + 2*p**2 - 2*p**4 + (-3*p**3 - 3*p**3 + 4*p**3)*(3*p + 2*p - 3*p) - 2 + 2*p**4 + 2 - 127*p - 3*p**4 + 127*p.\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:38 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*f + 1. Suppose 0*l + 2*o = -4*l - 10, 0 = -2*l - 5*o - 25. Put -2, l, f in descending order.\nAnswer: f, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w**2 + 2. Let z be p(6). Suppose -m - 18 = -4*h - 2*m, z = h - m. Solve -3*o + h*o = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + v - 5*i - 31, 5*v - i - 23 = 0. Suppose -27 = -v*n + 169. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + 2.98. Which is the smallest value? (a) x (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*c**3 + 8*c**3 + 24*c**3 + 2*c**2 - 2 - 4*c**2 as a + p*c**3 + g*c**2 + n*c and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113733798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13738 - 13736. Which is the third smallest value? (a) 0.08 (b) m (c) 2\/13 (d) -1.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Let t be -2 - (116\/(-28) + u). What is the closest to 0 in -1\/6, t, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47c90 (base 16) in base 8?\nAnswer: 1076220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*p - 10, -3*y - 4*p = -5*y + 12. Let m(h) = -9 - 7 - 6*h**2 + 22 - 4*h - y. Let i(j) = 1 - j - j**2 + 2*j**2 + 2*j + 0*j. Determine 4*i(r) + m(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979 = 158*y - 285. Solve -y*r + 51 = 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - b = 1017047, -d + 254288 = 411*b - 415*b. Round d to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3343, -2, -2\/167 in decreasing order.\nAnswer: -2\/167, -2, -3343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**2 - 5*g + 7. Let b(s) = 13*s**2 + 6*s - 8. Let r(m) = -6*b(m) - 7*k(m). What is the units digit of r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(343)) + 0 + 3*sqrt(343)*-1*2.\nAnswer: -28*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 - 97 = 0. Let l be (h\/21)\/((-5)\/3). Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 5 + 5)*(-q**2 + 4 - 4)*(2*q**2 + 4*q - 9 - 4*q - 3*q**2 + 0*q**2 + 2*q**2 + (-3 + 4 - 2)*(q**2 + 0*q**2 - 3*q**2) + 1 + 2*q**2 - 1).\nAnswer: 25*q**5 - 45*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 114\/24 + (-2)\/(-8). Let w = 11 + -9. Let q be (12\/8 + 1)*w. Solve q*n + 9*z - 4*z = -20, -v*n + 4*z - 20 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.1 and -0.27.\nAnswer: 1.917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:11 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116337827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 2209?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 - -1654) + 7*-1.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 2*c - 3*c + 5, 4*c + 1 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j. Let n(o) = -2*o**2 + 3*o + o + j*o**2 + 3*o**2 + 5. Is n(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20606.1 - 20606. Is k <= -2450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5764 - 5793. Which is the closest to 0.1? (a) s (b) 0.3 (c) 0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*d = -0*m - 14, -38 = 3*m - 5*d. Let c be (-32)\/12*(-5 + -1). Let i = m + c. What is the remainder when i is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*g - 374 + 912 + 7918 = 0 for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 - 7*z**2 - 2*z + 2. Let m(t) = -3*t**3 + 6*t**2 + t - 1. Let h(l) = 5*m(l) + 4*y(l). What is h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, 5, 4, -5, 1\/4, -34656 in descending order.\nAnswer: 196, 5, 4, 1\/4, -5, -34656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 33\/5 and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 13*f**2 - 11*f - 12. Let o be q(12). Suppose o = -2*c + 93 + 975. What is the least common multiple of 22 and 6\/(-33) + c\/33?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3052 + 85475\/28. Let d = j - -4\/7. Let i = -0.06 + 2.06. What is the nearest to 0.1 in d, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121\/3 - 2293\/57. Let f = 3 + -1. What is the third smallest value in p, 2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(77) - sqrt(77))*-6 + sqrt(77) - sqrt(77))\/(2*sqrt(1008) + sqrt(7)).\nAnswer: 2 + 18*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069.\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 995190979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxzmzmxzdxxx. Give prob of picking 2 z and 2 x.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 680 - 678. Let n = 3 + -2. Let g = 0.9 - n. What is the closest to g in w, -0.3, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-7 - -2))\/(-1). Let s be ((-15)\/9)\/(27\/729). Put s, x, 3 in descending order.\nAnswer: 3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let d(x) = -2*x**2 + 2125*x + 7. Calculate r(d(l)).\nAnswer: -2*l**2 + 2125*l + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354894591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/216 and -11\/92178.\nAnswer: 368712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/26 + (24\/(-86))\/(11115\/(-7980)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = 82 + 48. What is the second smallest value in -1.5, -2\/3, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593338 is divided by 112.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 d when three letters picked without replacement from mdmmmmmmmdmmdm.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w. Suppose 2*v - 54 = -4*c - 16, 3*v + 43 = 4*c. Let x(t) = 6*t + t - c*t + 4*t. Calculate u(x(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*p**3 + 52*p**3 + 51*p**3 + 59*p**5 + 2*p**3 - 2*p**3 + p**5 + (-p - 4*p + 3*p)*(-p**4 - 3*p**3 + 3*p**3) + 0*p**5 - p**5 + 2*p**5.\nAnswer: 63*p**5 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1381 - -1950. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 4*o. Let f(b) = 3*b**2 + 12*b - 1. Let m(n) = 4*f(n) - 11*i(n). Calculate m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 5 + -3 + 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302b12 (base 12) to base 2.\nAnswer: 10110111011110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*n**2 - 184*n**2 + 0 + 2.\nAnswer: -335*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -282 + 195.3. What is u rounded to the nearest integer?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2344 - -2348. Let o(x) be the third derivative of 8*x**2 + 0*x + 0 - 1\/60*x**5 - 1\/2*x**3 - 5\/24*x**t. Give o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16626)\/(-326)*3\/9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -23*i**3\/3 + 11*i**2\/2 + 7*i - 176. Let h(k) = -6*k**2 + 3*k + 2. Determine -22*h(j) + 6*x(j).\nAnswer: -6*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*n + 12, n - 7 = 2*d + 4*n. Let x be 0 + 6 + d\/(-5 + 3). Put x, 3, 9 in decreasing order.\nAnswer: 9, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 11*i - 14. Let b(c) = c**2 - 6*c - 7. Let d(q) = 9*b(q) - 4*o(q). Let y be d(11). Solve y = n + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(11)*-1 + (-2 + sqrt(33)\/sqrt(3))**2 + ((sqrt(88)*-2)\/sqrt(8) - (sqrt(44) - sqrt(176) - sqrt(44))\/sqrt(4))**2.\nAnswer: -sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.532 - -10. Round n to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5886, -11823, -17760?\nAnswer: -23697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-415)\/1494*-8*5\/650?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -72?\nAnswer: -72.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 237*z + 4808. Calculate the remainder when 787 is divided by c(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/i**(2\/19)))\/((i\/(i*i\/(i\/(i\/i**(-1\/7)))*i))\/i))**43)**(-38))**28 assuming i is positive.\nAnswer: i**(-148608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Suppose 2*h - 3*u - 23 = 0, -2*h + 0*u = y*u - 29. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = -2*g + 4, 3*x = 2*g - 9. Let y(a) = g - a + a + 2*a + a**2. Does 18 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 1.2. Let p = -74\/3 - -25. What is the third biggest value in k, p, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4 = b, -4*u - 127 = -3*b - 135 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 309, 460, 609?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032333 (base 4) in base 5?\nAnswer: -243101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 2. Let c(y) = 3*y - 2. Suppose 0 = 3*f - 2 - 7. Let n be c(f). What are the prime factors of x(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 5, -23, -45, -2\/9, -6\/19, -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 257*u**2 - 47*u**2 - 22*u**2 + 163*u**2 in the form b + f*u**2 + r*u and give f.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, -4, -2 in increasing order.\nAnswer: -301, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 125 + 127 = 0. Let x(p) = 4755*p + 80982. Let s be x(-17). Calculate the greatest common factor of f and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4\/4 + 267*r**3\/4 - 666*r**2 - 68289*r + 1470432 = 0.\nAnswer: -32, 34, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36313, 72677, 109041, 145405?\nAnswer: 181769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -19652, 4, -7 in descending order.\nAnswer: 4, -2, -5, -7, -19652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4663 (base 11) in base 8?\nAnswer: 13747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n**2. Let j(k) = -2581482*k. Calculate x(j(z)).\nAnswer: -113288838377508*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 298.65 - 298.65. Let h = 26 - -38. What is the nearest to 1\/2 in d, -5, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 224*b**2 - 626*b - 3046. Give x(109).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144292930 + 0.010927.\nAnswer: 144292930.010927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-65805)\/8774)\/((-30)\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6586*m**2 - 181*m - 2. What are the prime factors of i(-3)?\nAnswer: 5, 7, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/9*w**3 + 0*w + 4\/9*w**4 + 0 + 4\/9*w**5 + 0*w**2 = 0 for w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41300 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65403)\/(-78))\/(-13)*(-4)\/6?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 547977 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2 - 295360*b + 10750321?\nAnswer: -6*b - 295360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1359 - -3440. Let k = i + -1026. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 4\/3, 2\/7, -0.5, 2.9 in increasing order.\nAnswer: -0.5, 0.07, 2\/7, 4\/3, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 122 - 15 + 2*r**2.\nAnswer: 2*r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -9. Let p(d) = 2*d**4 + 5*d - 4. Let t(n) = -n + 1. Let i = 11 + -6. Let a(y) = h*p(y) + i*t(y). What is the derivative of a(l) wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*n + 31, 2*j - 5*n = -14. Find the first derivative of -2*x**3 + 610*x - 611*x - 38*x**4 + 2*x**j - 113 + 7 wrt x.\nAnswer: -152*x**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432 a factor of 79728538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1102*i**3 + 1097*i**3 - 5289*i**3 - 3328*i**3.\nAnswer: -8622*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29970 divided by -15.\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-70)\/8)*(9\/36)\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -240 + 239.69. What is the biggest value in 0.4, y, -4\/9, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4853 - -2802. Let u = n - -3063. What are the prime factors of u?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 - 4*c**3 + 0*c**4 + 3*c + 5*c**3 + 1 - 4*c**2 + 3*c**4 + 2*c**2 to f*c**4 + l + d*c**3 + m*c**2 + z*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvplllvlppplpllplvlv. What is prob of sequence lp?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let u be (-56)\/16 + 6 + (-1)\/2. Let w(y) = 5*y**2 - 3*y + 3. Let f(k) = -4*k**2 + 2*k - 2. Let m(t) = u*w(t) + 3*f(t). Determine j(m(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 16, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:00 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-3))\/(6 + 96\/(-18)). Let q be (2*2)\/(2\/(-2)). Put q, i, 4 in descending order.\nAnswer: i, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8437\/6 or -1405?\nAnswer: -8437\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520842123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49074414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3254, -3253, -3250, -3245?\nAnswer: -3238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 = 5*v, -2*v = 7*m - 2*m - 57. Solve 3 = -4*o - m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90, 187, 344, 555, 814, 1115?\n\"Answer: -w**3 + 36*w**2 - 4*w + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 8*a**2 + 5*a + 8. Let y be f(-3). Solve -d + y - 16 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 26*y + 25. Let s(d) = -3*d**2 - 2. Determine i(s(c)).\nAnswer: -78*c**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -10, 0.15, 0.5, 4, -0.4 in descending order.\nAnswer: 12, 4, 0.5, 0.15, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -16863, -2\/5, 6, 3\/2 in decreasing order.\nAnswer: 6, 3\/2, -2\/5, -50, -16863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o - 2. Calculate l(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-45))\/(2\/4236). Let h = w + 1887. Is h a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 58 = -2*h + 450, j = -5*h + 1270. Suppose h + 331 = 5*t. Calculate the highest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0) + (-1)\/(-5). Sort y, -2, 5\/3 in descending order.\nAnswer: 5\/3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = -5*r, 3*u + 23 = -4*r + 31. Suppose 3*a - 165 + 30 = u. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.61 (b) -1 (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 - 41*v + 41*v + (33*v - 20*v - 31*v)*(-5*v**2 + 4*v**2 - 4*v**2).\nAnswer: 94*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -144, -1198, -3180, -6102, -9976, -14814, -20628?\n\"Answer: -2*u**3 - 452*u**2 + 316*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/11 - (-1)\/(-2)*-2. Suppose x*z + 20*z = -466840. Round z to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119682929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 22*a**2 + 60*a + 58. Let q be h(-19). Solve q - 9 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 - -158.9735. What is f rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 125. Let s = q - -127. Let i = 12 + -14. What is the nearest to -1 in i, s, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 19323, -7, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -11. Suppose 2*i - 1 = 5*g, -k*g = -2*i - 1 - 0. Does -3\/52 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**3 - n**3 - 2*n**3)*(n + 4*n - 3*n) - 1329*n**2 + n**4 + 885*n**2 + 689*n**2 to d*n + g*n**2 + p + z*n**3 + b*n**4 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a54 (base 14) to base 6.\nAnswer: 1200522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1676? (a) -7 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144344377 divided by 5.\nAnswer: -144344377\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**12*u\/u**21)\/(u**7\/(u\/(u**(-10)\/u))) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 94 = -y, 55 = 3*s - 5*y + 3*y. Let q = s + -12. Suppose 3*k - 5*k + 8 = 0. Calculate the lowest common multiple of k and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4 + 11 = q, 6*q = 2*z + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + d**2 - 2*d + 2. Let u be o(1). Find the second derivative of 2*j**2 - 4*j - u*j - 9*j**2 + 4*j**2 wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -39. Let g = b - -23.01. Let l = 0.99 + g. What is the closest to -0.1 in l, -2, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 467*b + 24297. What is q(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - -1 - (0 - -4). Let a be 374\/g - 12\/(-60). Suppose 0*x - 4*y = 5*x - 351, 2*y = -x + a. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -2, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**2 + 1019*w - 1019*w. Let j(t) = 2*t**2. What is j(i(o))?\nAnswer: 392*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -8. Let s(r) = -r**3 + 7*r**2 + r + 9. What is the tens digit of s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*p = 59*p + 6*p + 6 + 2269 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {l: 2, j: 2, k: 1, c: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.1 (c) -1 (d) 69 (e) 4 (f) 39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-14)*29\/(-319)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 11 = -17. Let p be ((5 - a) + 3)*4\/8. Suppose r + 2*r = 0. What is the second biggest value in p, r, -13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/27)*q\/q**18 assuming q is positive.\nAnswer: q**(-430\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 555468137 - 555468183.0000061. Let i = -46 - s. Round i to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3179*i - 3181*i = -v + 6, -v + 9*i + 34 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by -140.\nAnswer: -159\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7923 and -11\/21?\nAnswer: 55461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -113682 equal to -113677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17317*s**2 - 5717*s**2 - 5816*s**2 - 5651*s**2.\nAnswer: 133*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 12*k**2 - 12*k**2 + 18*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 187 = 205. Solve 4*p + d = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 - 17*f**2 + 0*f**2 + 8*f**2 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52837*g**3 - 70023 with respect to g.\nAnswer: -158511*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -7\/3*b**3 - 1\/2*b**2 - 8*b + 0. Determine d(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let q(u) = -u + 3. Let n(r) = -4392 + 17564 - 4390 - 4392 - 4389. Give b*q(a) + 4*n(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -0.003?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -8271600\nAnswer: 1\/8271600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(c\/(c\/(c**(-7)\/c*c)))*(c**(-1))**(-2\/83))\/((c*c**(2\/5)*c**8\/c*c)\/((c\/c**(-2\/7))\/(c**(-2\/9)\/c))) assuming c is positive.\nAnswer: c**(160322\/26145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -102*b**2 - b. Let a be d(1). Let u = -33 - a. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + -4 + (-4 - (3 + 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 16*z**2 - 15*z + 9. Calculate the lowest common multiple of 15 and j(15).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112784, -225567, -338348, -451127, -563904?\nAnswer: -676679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5736330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66101156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) - ((sqrt(68) - (sqrt(68)*1 + sqrt(68)))*-4 - sqrt(68))))\/(((-1*sqrt(48) - sqrt(48)) + sqrt(48))\/sqrt(12)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -621 + 793. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12811 + -12816. Which is the nearest to y? (a) 3\/22 (b) 2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4169840 by 104246.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24786283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*u = 46*u - 950 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2204793 and -53\/2694747.\nAnswer: 24252723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.7 + -4.7. Is z equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3769 + -30153\/8. What is the nearest to -1 in -2\/5, -23, -0.1, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 267832*v - 8966747528.\nAnswer: -2*(v + 66958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 673200 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64.5252 + 64.5. Let r = 0.5252 + y. Which is the closest to -0.1? (a) 0.1 (b) r (c) 2 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyvyvvavavvv. Give prob of sequence ayyv.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/165)\/(-7*24\/70)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2616, 2614, 2612, 2610, 2608?\nAnswer: 2606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -5*f**2 + 141*f - 123. Differentiate c(j) with respect to j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (246 - 246 + 38*j**2 - j + j + j**2 + (0 + 2 + 0)*(5*j**2 - 4*j**2 - 2*j**2))*(-3*j**3 + 6*j**3 + 3*j**3).\nAnswer: 222*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*c - 2*c. Suppose -k = -c*o + 17 - 0, -31 = -5*o + 3*k. Solve -4*m + o = 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.131 + 0.031. Let j(m) = m**2 + 5*m + 3. Let o be j(-3). Which is the closest to g? (a) 1\/3 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. Suppose -j + 2*w + 9 = 0, -j + 2*w + y = -w. Calculate the lowest common multiple of 1 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.87074 millilitres to litres.\nAnswer: 0.00887074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4032192 and 672032.\nAnswer: 4032192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21022891 divided by -2?\nAnswer: 21022891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w**3 - 18*w**2 - 3*w - 15. Let t be n(-4). Calculate the greatest common divisor of t and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*z = -5*w + 20, -3*w + 12 = -3*z. Let p(o) = -7 + o**2 - 3 + 7*o - 6*o - 5*o. Let t be p(w). Solve y + 3 = -t*d, 4*y - 6*y = 2*d + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3709831*d**2 + 15088187*d + 3?\nAnswer: 7419662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 2. Let y be m(-2). Solve 0 = -y*k - 2 + 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 1. Let c be x(6). Let j = 42 - 30. What is the remainder when (c\/(-2))\/(9\/(-18)) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.21 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let u = s - -4. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-1)\/s)\/s))\/(s\/(s*s**3)*s)*s**(2\/9)\/(s*s\/s**7*s)*(s**(-13)*s**(-8\/7))**(-26\/7) assuming s is positive.\nAnswer: s**(27674\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 13878\/12 + (-6)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*p - 2, z + 3*p = 4*z - 6. Let f be -2 - (-24)\/7 - z. Let v = -0.5 - -0.9. Sort f, -4, v in increasing order.\nAnswer: -4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/126*-6)\/((-396)\/(-1386)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**3 - 1 + m**3 + 0*m**3 + m**2 - 2*m**3 - m. Suppose 2*p = 4*o - 6, 1 = p + 2*p + 4*o. Determine w(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7024.2 milliseconds?\nAnswer: 7024200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362*a**3 + 112999*a + 424393907?\nAnswer: -1086*a**2 + 112999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l - 4385 = -5*b + 46*l, -2*l = 3*b - 2650. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*f**2 - 2 + (-4*f + 2*f + 4*f)*(-5*f + 0*f + 4*f) + f**2 + f - f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + 26. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*u - 435*u + 375 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19536 and 22792?\nAnswer: 136752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**2 - 1655*t**2 - 4621*t**2 + 52*t**2 - 1770*t**2.\nAnswer: -8017*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:43 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*c = 4242 + 9080, -3*c = -3*i + 7995. Calculate the highest common factor of i and 2904.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-1\/10)\/q)\/q))\/q*(q*q**(-3)*q)\/q)**(-24) assuming q is positive.\nAnswer: q**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 21. Solve z*r + 2*r + 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.5. Suppose -n + 2 = -0*n. Let m be (5\/(-20)*0)\/n. Which is the closest to m? (a) 2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3 + 3)*(0 + 0 + u**3) - u**5 - 2*u**5 + 0*u**5 - 4*u**5 - 2*u**4 - 35*u**3 + 35*u**3.\nAnswer: -5*u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -28. Suppose -2*h - 3*h = -0*h. Solve 2*o - b*o = h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20357*s*u*x**2 - 43718*s*u - 5*s*x**2 - s - 3*u*x - 6*x**3 + 3*x wrt x?\nAnswer: -40714*s*u - 10*s - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 23 = 3*t - 3887, -2*t + 11571 = 3*s. Suppose -s = -9*c - 1002. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 86266 + 3?\nAnswer: 86269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971*s + 935*s - 2795*s + 938*s.\nAnswer: 49*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y + 0*y)*(-3*y**2 - y**2 + 3*y**2).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3984751 milligrams in tonnes?\nAnswer: 0.0000000003984751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18374148.\nAnswer: 2, 3, 13, 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224 is divided by 77.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccyccyccccccfycccf.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:06 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861 + 861 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/1626 + 32111\/4065. Find the common denominator of c and (-753)\/(-30) - 2\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-15)\/5 + 9 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*u - 62, a + 4*u - 180 = -2*a. Round a to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 94*z. Let m(q) = 1768*q**2. What is j(m(d))?\nAnswer: 166192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -3. Let w(m) = -2*m**3 + 3*m**2 - 3*m - 6. Let k be (72\/(-156))\/3 - 24\/13. Let x(y) = -2*y**3 + 2*y**2 - 2*y - 5. Determine k*w(a) + s*x(a).\nAnswer: -2*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/14*-4 + -9. Which is the second biggest value? (a) s (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 60027 = 4*y, 121*i - 116*i - 60041 = -3*y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 6 - 3\/2*i**2 + 2*i. What is b(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152736 and 2666?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39982\/45 or 888?\nAnswer: 888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575) + (sqrt(1575) - (-2*sqrt(1575) - sqrt(1575))))*-1)\/(sqrt(144) + sqrt(144)*-3*-4).\nAnswer: -25*sqrt(7)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 228 = -k, -4*u + 0*k = -k - 220. Suppose -20 + u = 3*o. Suppose 964 = 14*y + 180. What is the lowest common multiple of y and o?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 plus -458?\nAnswer: -458.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*j + 844, 0*z - 4*j = 5*z + 2110. Let s = -129 - z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiq when three letters picked without replacement from {y: 1, i: 4, l: 3, q: 4, v: 2, k: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -87*l - 417. Let x be p(-6). What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58.785 - -0.215. Let f = -59.6 + n. What is the fourth smallest value in 1\/2, 1\/6, -0.4, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 7*y**2 + 9*y - 6. Let x(d) = 45*d**3 - d**2 + 2*d - 1. What is the remainder when x(1) is divided by j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 6:51 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7433*p - 24. Is z(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-717)\/(-4)*416\/6760 - 11.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*f - 12, 6*f - f = 2*w + 30. Suppose -a = -6*a + 20. Suppose a*t = f*t. Solve -3*q - 15 = -2*c, t = -0*c + 3*c - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425470396.\nAnswer: 2, 13, 8182123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -5. Let r be (-2)\/f - 52\/8. Let v(x) = -6*x - 5. Calculate the remainder when v(r) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22050672 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 226*b**3 - 6*b**2 - 390*b. Let j(h) = -226*h**3 + 5*h**2 + 385*h. Let q(l) = -3*j(l) - 2*m(l). What is the second derivative of q(z) wrt z?\nAnswer: 1356*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96123.53 litres to millilitres.\nAnswer: 96123530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((4 - 4) + -4 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 22 - 2 = 0. Suppose m = g*m - 87. Let f = m - 15. What is the least common multiple of 8 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -b - q, 0 = -4*b - 3*q + 74 + 43. What is the remainder when b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156837791 is divided by 229295?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95\/4464 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, y: 1, m: 2, a: 1, i: 1}. What is prob of sequence zyzm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-958)\/30*-24)\/((-2)\/(-20)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8106*c**3 + 62*c**2 + 31*c?\nAnswer: 48636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1577, 5006, 14323, 32474, 62405, 107062, 169391, 252338?\n\"Answer: 491*x**3 - 2*x**2 - 2*x + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.3. Let i be 66\/220 - 1\/(-5). What is the smallest value in i, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(-75)\/105 + 1044 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330726862.\nAnswer: 2, 53, 12554027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -3*t + 70. Calculate the remainder when 451 is divided by t.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 94, -225, 24.\nAnswer: -225, 4, 24, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 14*z - 315. Let c = 4119 - 4098. Calculate b(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146280000 rounded to the nearest one million?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkoo when four letters picked without replacement from {o: 12, k: 7}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a factor of 20090697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*r - 171, -2715 = r + 3*r + 123*c + 1586 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(76) - (sqrt(76) + 3*(sqrt(76) - (3*sqrt(76) - sqrt(76))) + sqrt(76))) - ((sqrt(570)\/sqrt(10))\/sqrt(3) - -3*sqrt(19)*-3))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y - 6. Let q(i) = -24*i - 13. Let l(p) = -13*j(p) + 6*q(p). Let u(r) = -7*r. What is l(u(d))?\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813 = n + n - 161*v, 6*v - 4*v + 26 = 4*n - 0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.3. Let l = -13.1 + 14. Let x = 1.9 - l. Which is the nearest to x? (a) 0.4 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = -16. Let c be (5\/10)\/((-2)\/z). Let l = 13 + c. Does l = 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*m - 33, -33 = -4*y - 0*y - 3*m. Let t(l) = -l**2 + 9*l - 7. Calculate t(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1548161*z - 6099939 with respect to z.\nAnswer: -1548161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26313 divided by -5.\nAnswer: 26313\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211534 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1383*m**2 + 750*m**2 + 221*m**2 - 2.\nAnswer: 2354*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbh when three letters picked without replacement from {f: 1, h: 2, b: 7}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 - b2550?\nAnswer: -b2593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589807 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*t - t - 35. Suppose -2*g + 202 - 64 = 4*h, 2*g - h - 158 = 0. Calculate the highest common divisor of t and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/2, 0.4, -28, -9, 71, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89\/1*1 + -3 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5577058 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 2. Let a be j(2). Let u = 42 - 36. Solve -u*w + a*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2500*a + 42296. Give o(17).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2237455 by 17.\nAnswer: 131615","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fufruuruufuuurfu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*y - y = -1, y = -2*n - 97 + 99 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 5, -1\/2, 0.069, -0.1, -71?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.025116.\nAnswer: -0.100464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*c = 71*c - 210. Is -31 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 4, b: 1, u: 1, j: 2}. Give prob of sequence dw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let f(k) = -3*k - 1. Let t(x) = -2*c(x) - f(x). Let u(y) = y**2 + 18*y + 4. Let h be u(-18). Let b(m) = 6*m. What is h*t(z) - 3*b(z)?\nAnswer: 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-343)\/294*((-16)\/(-70))\/(12\/(-10)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2. Let h(b) = b**2 - 1. Let r(o) = -h(o) + 2*w(o). Let g be 2\/(-12) + (-132)\/72. Give r(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4826 and -0.16.\nAnswer: 4825.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(3) + 0)**2 + -1*(-3 + sqrt(3))**2 + 5.\nAnswer: 21 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 0*k**4 + 0*k + 0*k**3 + 3\/2*k**2 + 1\/5*k**5 + 4. Find the second derivative of o(z) wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2999*s + 21062 = -26146 - 45761 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850*c + 286*c + 227*c + 271*c.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k - 6. Let h be i(-4). Let l = -5 + h. Solve -l*z - 8 + 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(0 + 0 - 5*o)*(-2*o + 0*o + o).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 i, and 1 k when four letters picked without replacement from wtikauwa.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**2*t**2*z + 672*s**2*t - 800*s*t + 1329933*t**2*z + 2*t*z wrt t?\nAnswer: 2*s**2*z + 2659866*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(364)*3)\/sqrt(7).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12447, 24500, 36553, 48606, 60659, 72712?\n\"Answer: 12053*d + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 120*v**2 + 1\/9*v**5 - 1076\/9*v**3 - 266\/9*v**4 + 0*v = 0. What is v?\nAnswer: -2, 0, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48513 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let p(h) = -14824*h**2 - 55. What is p(x(o))?\nAnswer: -59296*o**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83750 by -8375.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 86 - 87 + 2*n - 8*n. Let h(x) = 5*x**2 + x**2 - 3*x**2 + 7 - 2*x**2 + 6*x. Let a be h(-3). Give m(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73813, 147625, 221437, 295249?\nAnswer: 369061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - (-4)\/14. Let k be (-57)\/(-9) + ((-1)\/3)\/1. Let x be (30\/9 - (-4)\/k)*1. Solve -x*i - i + 5 = c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + 94.2. Let r = -4.812 + a. What is r rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296472 and 554136.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*(34\/12)\/(-17)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 + -126. Let r(o) = -191*o - 186. Let g be r(h). What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j**2. Let u(c) = -3146*c**2. What is u(z(l))?\nAnswer: -616616*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 39, 50, 61, 72?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14.8 (b) -0.934 (c) 2\/13 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 25\/7 (c) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35329 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -106113?\nAnswer: 106113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.092703 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 323542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -26.68 * 9836\nAnswer: -262424.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -177\/2. Let k = 4.95 - -0.05. Sort c, -5, k in increasing order.\nAnswer: -5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/60 + z**4\/3 + 11*z**3\/6 - 17*z**2. Let n be p(9). Suppose n*w - 105 = 139. What are the prime factors of w?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*u - 14 - 31 = 102*u - 3*w, -4*w = 3*w - 35 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 252 + 164*g - 252 to a + z*g and give z.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -12 + 28 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -423, -5, -3.\nAnswer: -423, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = 12. Suppose 18 = 4*c - 5*d, 5*d = -0 - 10. Suppose c*b + 5*v - k*v - 259 = 0, -3*v = b - 142. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79920)\/(-8658) + (-5136)\/(-52)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 45*u + 2. Is x(3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -424.\nAnswer: -5\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 2)\/2 + 6. Let q(f) = f**h - 8 + 4 - 10*f**2 + f - 7. What is q(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29691749.99537 - -29691559. Let q = -191 - w. What is q rounded to 4 dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*y + 57 = 129*y + 137*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2544, 3853, 7394, 14283, 25636?\n\"Answer: 186*w**3 + 7*w + 2351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-52041)\/(-1980) - 2\/(-24)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*l + 30*l**2 + 347*l + 41*l**2 - 70*l**2 - 175*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/2))\/p*p\/p**(10\/7))**33 assuming p is positive.\nAnswer: p**(-891\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 + -82. Suppose -2*a - 2*b - 4 = 0, -y*a + 5*b = 8 + 6. Let o(i) = -i**2 - 5*i - 4. Let d be o(a). Solve -3*k = d*x - 3, -k + 2*x - x = -6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*g - 22 = -4*h + 313*g, 5*h + 4*g = 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1029486770 to the nearest integer?\nAnswer: 32086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.024 + 33896589.\nAnswer: 33896588.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1295)\/315)\/(-37)*18\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3272 + 6225. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(4*sqrt(10)*1))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -1319222.207723?\nAnswer: -1319222.607723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*r + 4*f, r = 4*f + 23 + 53. What is the least common multiple of 28 and r?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 16*i**3 + 7*i - 1\/2*i**2 - 161. Find the second derivative of f(v) wrt v.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0383207 - 0.0383. Round t to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10298, -10261, -10200, -10115, -10006?\nAnswer: -9873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -97, -111, -139, -187, -261, -367, -511, -699?\n\"Answer: -n**3 - n**2 - 4*n - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 11. Let h be j(-8). Suppose 0 = -h*a + 28 + 92. Calculate the highest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**3 - 12*s**2 + 13*s - 22. Suppose -2*o = -3*q + 22, 138 = q - 2*o + 132. Is u(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 21*y - 38*y + 18*y to z + s*y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1557*c - 450. List the prime factors of u(7).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 15*r**3 + r**2 + 44*r + 41. Determine c(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13 + 7 + 9 + 0. Suppose 566 = f + 5*s, -4*f + 493 = -v*s - 1817. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -906022 or -906045?\nAnswer: -906022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11. Suppose m = f + 4*f - 25. Let z = 9 - f. Solve 4*w + 40 = z*r, 2*w + r + 5 = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1827 - 1822. Let l be (-6)\/3 + (-5)\/(-2). Which is the closest to -1? (a) s (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*a - 25 = 220*a, -10 = -5*g - 4*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 less than 2.608274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -13. Let u = 393 - 392.561. Let x = u - 0.039. What is the fourth smallest value in 6\/11, s, 3\/4, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 - -157. Suppose d = 5*g - 125 - 185. Calculate the remainder when g is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83240 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/120 - 11*f**5\/60 + 7*f**4\/12 + 7*f**3\/6 - 3*f**2. Is i(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -7. Let c(u) = 3 - 3 + 1025*u. Let p be c(w). What is p rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, -685, 1\/92, 0.062 in increasing order.\nAnswer: -685, 1\/92, 0.062, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 118*h**2 + 30*h - 32*h - 2 + h**3 - 117*h**2 as n*h + x*h**4 + y*h**3 + r*h**2 + s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 29. Suppose -u*b - 11 = -3*d, 0 = 3*b + 3 - 18. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-4) + (-2)\/(-8). What is the nearest to -3 in 3, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:29 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595775 divided by -14.\nAnswer: 595775\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**4*r**3 - 663488*p**4*r + 192*p**2*r**2 + 5426*p*r**3 wrt p.\nAnswer: -72*p*r**3 - 15923712*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 2, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 93*t - 93. What is h(-7)?\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let w(f) = 276*f + 45. Let h(j) = -966*j - 162. Let r(n) = 5*h(n) + 18*w(n). Give c(r(l)).\nAnswer: -276*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3324771 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713 divided by -6?\nAnswer: -571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -33203522 (base 7) to base 12\nAnswer: -b5a268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -230221222 (base 4) to base 8\nAnswer: -545152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:18 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - w = 2*f - 8*f - 154 + 130, -16 = 2*f + 4*w for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08578458 to four decimal places.\nAnswer: 0.0858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 346.1894556?\nAnswer: -348.1894556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 5*y + 105 - 111. Determine a(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11593499, -46373990, -104341475, -185495954?\nAnswer: -289837427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {c: 2, g: 8, h: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1127, -1142, -1155, -1166, -1175?\n\"Answer: r**2 - 18*r - 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g + 3*d - 45, -g - 4*d = -21. Calculate the least common multiple of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157\/52 - 36\/13. Sort 3, w, 1 in increasing order.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 10 - 25)*(-9 + 8 - 7)*(2*s + 2*s - 3*s) as g + f*s and give f.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -696000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64859, -64601, -64159, -63521, -62675, -61609, -60311, -58769?\nAnswer: -56971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2433.161 + -2433.3409953. Let h = 0.34 + -0.52. Let v = h - t. What is v rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 1, o: 1, l: 1, k: 2, w: 1}. What is prob of picking 1 i and 2 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -126376250 divided by 5?\nAnswer: -25275250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/7)\/((-171)\/133) + (-4)\/(-18). Solve k = 19*d + 30 + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 262 and 260 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 14 = l, -s + 5*l - 998 + 991 = l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3\/(-1) + (-3 + 0 - -18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 18 + 38*l + 12*l**2 + 8*l**2 - 93*l - 6*l**4 - 2*l**5 + 13*l + 12*l**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 27, 11, 1, -13, 23 in decreasing order.\nAnswer: 27, 23, 11, 1, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-2)\/(-6)*3). Suppose z*s - 4*h - 3 = 1, -4*h + 8 = 4*s. Suppose -q - 5 = 0, -s*q + 37000010 = -5*u - 4*q. Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {z: 10, n: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from uvvluvvvvuvvvuvvvlu?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(570) + sqrt(570)*3)\/sqrt(10))\/sqrt(3))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16 + -15 + 1 + 7. Suppose y + 4 = 5, 7 = l + 2*y. Solve 4 = l*o - c*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 2*k = -781. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/((-4)\/36). Let a be (u\/2)\/(9\/(-372)). Suppose -3*j + 6*j = a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**6\/195 + 9*q**5\/130 + 23*q**4\/78 + 5*q**3\/13 - 3221*q. Solve x(z) = 0 for z.\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131026166 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.400872 rounded to three decimal places?\nAnswer: -0.401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 77. Let y = p - -215.7. Which is the second biggest value? (a) 2 (b) 0.2 (c) -9 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 15) to base 13.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-5094)\/66 - (-13 + (-725)\/(-55))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1269660 and 3781773.\nAnswer: 9069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48401062 and 9.\nAnswer: 435609558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 2. Let x(l) = -7*l - 3. Let w(k) = 5*m(k) + 3*x(k). Let o(b) = 17*b**2 + 28*b**2 - 65*b**2 + 3*b - 3 + 23*b**2. Calculate o(h) + 3*w(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1\/5, 2\/61, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 31*m**2 - 47*m - 35. Suppose -5*s = 2*p + 168, 2*s + 84 = -p - 4*p. Is t(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -525*m**5 + 2290*m**4 + 7575*m**3 + 6180*m**2 + 1420*m = 0.\nAnswer: -1, -2\/5, 0, 142\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 - -22. Let a = b + 148. Let v = a - 75. What is the second biggest value in 3, v, 4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 + 340a18?\nAnswer: 340973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33969938 or -33969937?\nAnswer: -33969937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 10. Suppose 10 - i = j. Calculate the remainder when 31 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79023623.48999909 - 79023624. Let g = i + 0.51. What is g rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 4*t + 53. Let l be s(9). Let k(b) = 15*b - 4. Let n(w) = 22*w - 6. Calculate l*k(f) - 5*n(f).\nAnswer: 10*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - (-7 - -10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286*q**2 - q - 3*q**3 - 1 - 286*q**2 to the form a*q**2 + b + n*q + i*q**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 1. Let k be (4\/8)\/(1\/(-4)). Let h(p) = -12*p + 63. Let s be h(5). Let a(i) = -i - 2. Let m(u) = k*a(u) + s*z(u). What is m(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 111?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(99) + (sqrt(99) - sqrt(99)*-1) + 3)**2*-1.\nAnswer: 54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-14) + (-6)\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56583 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(((-8)\/(-20))\/(-2)*1). Suppose -4*p = -56 - c. Suppose -23 - p = -h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**3 + 0*g**3 - 61*g**2 - 15*g**2 + 15*g**3 + 7*g**3.\nAnswer: 13*g**3 - 76*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 33*l + 201. Determine v(-26).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114945179599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 88021*q\/3 + 117364\/3.\nAnswer: -(q + 58682)*(3*q - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, b: 1, c: 1, m: 1, v: 1}. Give prob of sequence mqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0641831 millilitres?\nAnswer: 0.0000641831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 20*i**3 + i**2 + i - 6. Let c(q) = -q**3 + q - 1. Let v(k) = 3*c(k) - u(k). Is v(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:08 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 - 0.084243?\nAnswer: -1.784243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/11, -245, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -49. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 30 = 5*x + 64, -5*x = 2*g + 42. Suppose -n = -5*n - 128. Let c = g - n. Solve -c = 3*t, 4*o + 5 = -2*t - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*g + 98, 0 = g - 3*g + 3*p + 64. Let u = g - 20. Let h be -5*(-4 + 3) + (-4)\/(-1). Calculate the greatest common divisor of u and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 2*t - 16, 3*v - 17 + 2 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 5*v**2 - 5*v - 1. Let q(l) = 5*l**3 - 11*l**2 + 10*l + 2. Let h(j) = -7*f(j) - 3*q(j). Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205882.\nAnswer: 2, 311, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4768529 minutes to nanoseconds.\nAnswer: 28611174000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14139417287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/210*5\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**4 - 5*m**2 + 7. Let u(j) = j**4 + j**2 - 1. Let a(n) = 5*u(n) + x(n). What is the derivative of a(o) wrt o?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -73. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140142201 (base 5) in base 7?\nAnswer: 6012130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 702 and 10638?\nAnswer: 138294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 7652775?\nAnswer: 15305550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 145286265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 2*i + 4*i - 5*i.\nAnswer: i + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 976553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 + 1 - -2) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 15834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - -0.3. What is the smallest value in -2, -0.3, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 7:49 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/5, 13, 2, 2\/15, 18, 12, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-36)\/(-20))*265 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*o - 17. Let z(v) = 2*v**2 - v - 9. Let q be z(o). Suppose 5*i + 7 = q. Solve -2*x = -i*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (-1 - (-20)\/4). Suppose -a + r*a = 5*j + 1059, -a = 3. Round j to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(76) - 4*sqrt(76))*4 - sqrt(76)))**2.\nAnswer: -208*sqrt(19) + 12860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 42749127.\nAnswer: 170996508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 20 = 0, 4*d - 16*r + 19 = -19*r. Let b = 3 - 0. Put b, d, 6 in decreasing order.\nAnswer: 6, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdi when three letters picked without replacement from ssiidssiii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 2, m: 4, s: 2, f: 2, y: 1}. What is prob of picking 1 y and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/6)\/((-34)\/(-6) - 5). Let a(j) = 2*j**2 + 6*j + 1. Calculate a(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27383, 27147, 26511, 25277, 23247, 20223?\n\"Answer: -33*c**3 - 2*c**2 + c + 27417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f - 6*f - 5*t, f + 2*t + 2 = 0. Solve 0*l - l + 4*s - 20 = 0, f = 3*l - 2*s + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*q + 408, 150 = 6*t - 5*t + 5*q. Calculate the remainder when 2527 is divided by t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37128389\/3 or -12376131?\nAnswer: -12376131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13327.9 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k - 4. Let q = 76\/115 + -6\/23. What is the closest to -1 in -3, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 8 = -8. Suppose s = h + 4*r - 385, 4*r + 221 + 501 = 2*h. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 2. Let m(q) = 5*q - 3. Let k(t) = 3*m(t) - 4*y(t). Let z(g) = -4*g - 5. Let d(b) = -5*k(b) + z(b). Let n(r) = -r. Calculate n(d(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -40. Let k be 86\/18 - o\/(-36). Suppose -3*l = g - 0*g - 79, -333 = -4*g + k*l. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/20 + 9*r**4\/4 - 4*r**3 - 49*r**2\/2 - r + 586. Calculate p(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/20*(-10)\/44. Let y = k + -129\/649. Let m = -1120 + 1121. Does y = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261 + -105. Calculate the smallest common multiple of 4 and u.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2*i**2 - 2*i - 2. Suppose -4*n = -2*q + 16, 3*n + 4 = -2*q - 1. Calculate the remainder when 17 is divided by w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 33962 in ascending order.\nAnswer: -4, 3, 33962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 - 169.63. Let o = 0.63 + v. Let i = -8 - -9. What is the nearest to -2 in -3, i, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(7 - 5) - (-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k)**(2\/47)\/(k**(2\/3)\/k)**(-1\/24)*(k**(-3\/5)*k*k**(-3\/4)*k)\/(((k\/(k*k*k**1))\/k)\/k)**45 assuming k is positive.\nAnswer: k**(3057803\/16920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110001001011010 (base 2) to base 13.\nAnswer: -151250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19274192*m**2 - 9739611*m wrt m.\nAnswer: 38548384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 18*i**2 + 44*i + 5. What is x(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 560*i**3 - i**2 + 3*i + 12. Let c(k) = -1678*k**3 + 4*k**2 - 10*k - 40. Give -3*c(h) - 10*p(h).\nAnswer: -566*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 17315834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1952211498 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19128476242 less than -1751?\nAnswer: -19128477993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 51*z - 27. Let c be r(16). Let g = -415 + c. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - 2*3*sqrt(2299) - (-4 + sqrt(2299)*3))**2 - ((-3*(0 + sqrt(2299)))**2 + -5 + sqrt(2299)*-2)) + 5.\nAnswer: -682*sqrt(19) + 126471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14*(1 + 2\/(-4)). Let c(f) = f - 1. Let g(v) = 14*v + 4. Let a(i) = 12*c(i) - g(i). Let h be a(-15). Calculate the greatest common factor of h and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 9)*(2*y + 0*y - y)*(-2 - 2 + 2).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1655232, 6620923, 14897076, 26483691, 41380768, 59588307, 81106308?\nAnswer: 105934771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(480))\/sqrt(12))\/(sqrt(5) - (sqrt(30)*2)\/sqrt(6)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.8682342 rounded to 2 decimal places?\nAnswer: -36.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*b - 310, -20*f - 2*b = -23*f + 222. Calculate the remainder when 609 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + sqrt(2057)*3)**2 - ((sqrt(17) - (1 + sqrt(102)\/sqrt(6))) + sqrt(17))) + (3 + 2*(sqrt(17) + -1 - sqrt(17)) + sqrt(17) + -4)**2 + 4.\nAnswer: -7*sqrt(17) + 32943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6096?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/4, -1\/80, 2006.\nAnswer: -1\/4, -0.2, -1\/80, 2006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3633 - -3705 - (114 + -1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6882431 less than 1.5?\nAnswer: 6882432.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 34. Suppose 1 + 5 = j. What is the remainder when l is divided by (j\/(-9))\/((-1)\/18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 32*s - 23. What is the remainder when d(11) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:31 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from vpppbvpb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/45 and 64\/4665.\nAnswer: 13995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106078*s - 106073*s + 42 = 3*x, -3*s - 34 = -4*x for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*w - 7*w + 55 - 59)*(-2*w**3 + 2*w**3 + 3*w**3).\nAnswer: 60*w**4 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38290685 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.5716 to 1 decimal place.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z**4\/3 - 39035*z**3\/3 + 32312*z**2\/3 + 84908*z\/3 + 4528 = 0.\nAnswer: -1698, -1, -4\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70851 is divided by 63?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 43677\/(-108) - 10\/(-2). Let f = 393 + t. Calculate the common denominator of 107\/108 and f.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -735 - -1197. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + f - 5. Let d be v(-4). What is the second derivative of 25*p + 29*p**3 + 18*p**2 - 11*p**2 - d*p**2 wrt p?\nAnswer: 174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 + -2.3. Let f = u + 0.4. Let j = -5\/29 - 62\/145. What is the nearest to f in 2\/7, -1, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = 0, 7*r = 2*r - c + 7. Let s = -100 - -103. What is the second derivative of 7*j**s - 6*j**3 + r*j**2 + 2*j - 2*j**2 wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 2*y**2 + 0*y + 0*y**3 + 1\/270*y**5 + 0 + 1\/54*y**4. Factor z(t).\nAnswer: 2*t*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3844685 is divided by 229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*l - 56*l + 6. Let u be 1*(1 - 0)\/(-9). What is the nearest to -0.2 in u, 5, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/36 and -73\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 627697507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -13. Let r = 3.6 - 4.1. Which is the biggest value? (a) d (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -30.7. Let o = r + -2.7. Let t = o - 1.83. Round t to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.2. Let p = 94.64 - 96. Let d = p + -0.64. What is the nearest to 1 in d, v, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 914536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:47 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21330\/54071 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i + 21*i - 11*i)*(760*i - 5*i**3 - 760*i).\nAnswer: -120*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**14*i\/(i\/(i**(2\/7)\/i)))\/((i**(-2\/3)*i)\/(i**2\/i)) assuming i is positive.\nAnswer: i**(-274\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, c: 2}. What is prob of sequence vc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/64 of a kilogram?\nAnswer: 46875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.35 - -0.15. Let v = -0.68 - q. Let n = 0.12 - v. What is n rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(700))**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (38\/(-95))\/((-22)\/(-33)). What is the fifth biggest value in -6, -3\/17, t, -1\/6, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:34 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 + -1.83. Which is the smallest value? (a) 1 (b) 1\/6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(966\/((-15180)\/110))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 + -1)\/(-3*(-2)\/30). Suppose g = 16*o - 11*o. Calculate the remainder when (1 - 2)*(-38 + 1) is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -5*3*sqrt(187) + sqrt(187)*3*-2)\/(-4*(sqrt(1584)*2 + 3*-1*sqrt(11) + sqrt(11))).\nAnswer: 5*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2106*s - 75841. Calculate c(-34).\nAnswer: -4237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127324\/9 + -14147. Put -24\/7, 0, -1, 1, a in ascending order.\nAnswer: -24\/7, -1, 0, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = 0, 0 = -2*d - p + 2*p + 68. Suppose 14*u - 37365 = -d*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2241 and 219348?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + q - 3. Let i(r) = -6050*r**2 + 2420*r - 7260. Determine 2420*a(z) - i(z).\nAnswer: -1210*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-216)\/(-5))\/2*21\/14. Let -k - 108\/5*h**2 - 2\/5*h**4 + 24\/5*h**3 + 216\/5*h = 0. Calculate h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*((sqrt(99)*1 - sqrt(99)) + -3 + sqrt(99) - sqrt(99)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4\/33, -2\/21 in decreasing order.\nAnswer: 7, 4\/33, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 28. Calculate the smallest common multiple of i(7) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14557 - -14554. What is the nearest to 3\/5 in -0.4, p, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(48\/10)*10\/(-25). Which is the second smallest value? (a) -0.3 (b) r (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uufuuff. Give prob of sequence uu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24924868742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 59861866?\nAnswer: 59861865.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - r + 4*r = 19, 3*r - 9 = 0. Let g be 54\/h - 2\/5. Suppose 5*l - 3*l = t + 32, 22 = 3*l + g*t. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28298497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 76*j - 21. Let t be y(24). Suppose 0 = 2*i + 5*p - 5072, -3870 - 8856 = -5*i - p. Let l = i - t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 1.7. What is the nearest to z in 5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290307165*g**2 + 75323496*g.\nAnswer: 580614330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -859 - -697. Is -163 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (4 + 5\/(-5) - 6). Solve -y*s = u - 15, -4*u + 0*s = 3*s - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -32?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1578*p**3 - 96040*p - 4*p**4 - 6104*p**2 - 8008*p**2 + 2414*p**3 - 1564*p**3 - 220892 = 0.\nAnswer: -161, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -138, 2\/23, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -31316.56285?\nAnswer: 31317.56285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 172279129195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 35 - 56 - 69 + 145 + c**2 as r*c**2 + t*c + f and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3070870 + -0.12523?\nAnswer: -3070870.12523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**6\/30 - 133*h**5\/30 - 295*h**4\/24 + 6*h**2 - 587. Find the second derivative of z(q) wrt q.\nAnswer: -24*q - 532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 110*v - 91*v = -197*v - 144, l = -v + 31 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 divided by 1?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t - 1. Let u(x) = 19*x - 3. Give -5*f(w) + 2*u(w).\nAnswer: -7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*x + 8. Let c(s) = -s**3 - 6*s**2 - 6*s - 5. Let y be c(x). Solve y = -2*r + 4*a + 14, -2 + 4 = -2*a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12096 divided by -21?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 2*k**3 - k**3 + 0*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14505 is divided by 157?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -475660 * 0.3\nAnswer: -142698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - t + 66 = 0, -i + 4*i - 3*t = 54. Calculate the highest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -15. Which is the second smallest value? (a) h (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Suppose 36 = -6*n + 9*n. Let x(z) = -n*z + 6*z + 7*z + 7*z. Determine x(g(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0771 + -0.01138. What is y rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.51, 2\/15, 7.3 in increasing order.\nAnswer: 2\/15, 7.3, 8.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2114680851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 - 140*q**4 - 636*q**3 - 1108*q**2 - 848*q - 240.\nAnswer: -4*(q + 1)**3*(q + 2)*(q + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -447, -452, -457, -462?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*y = 144, -72 - 34 = 3*u + 2*y. Suppose -2*i - 170 = 5*f, -3*f - 2*f + 5*i = 135. Let q = f - u. Sort q, 0.4, -3 in ascending order.\nAnswer: -3, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - 128. Calculate the highest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9007109 divided by -9007109\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (2 - -3)) + 39 + -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 191983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2 (c) -2\/19 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617.7871um in kilometers?\nAnswer: 0.0000006177871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67895, -135920, -203993, -272114, -340283, -408500?\nAnswer: -476765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 - 297ae?\nAnswer: -29778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*i - r - 130, -3*i - 99 = -r. Find the common denominator of (122\/12)\/((5\/(-3))\/1) and (4 - i\/(-24))\/(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 2)*(-81)\/162. Which is the closest to r? (a) -3 (b) 11 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 3*a**2 + 2*a**2)*(10*a**2 + 6*a**2 - 4*a**2) + 2*a**4 - 2*a**4 + a**4.\nAnswer: 13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*w**2 - 2279 - 294*w**2 + 2279 to f*w + i + h*w**2 and give h.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112900.\nAnswer: 2, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Suppose -v*c + 2*t + 0*t = 0, t = 0. Find the first derivative of c*s**3 - 3*s**3 - 2 + s**3 wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 654 = 95*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29607 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 + 2*s**3 - 177*s**2 - 2*s - 3 + 95*s**2 + 6 + 85*s**2 + 10*s to the form z*s**3 + v + d*s + n*s**4 + c*s**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949 - 245 = 136*d - 1651 - 2133 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/60 - 5*f**4\/12 - f**3 + 87*f**2\/2 - 105*f. Let s(u) be the first derivative of z(u). Give s(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 152 = 4*o, 2*z = -4*o - 0*z - 148. Let w be -26*(-1 + o\/2). Let b = w - 320. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 495 + 495.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -275395*b**4 + 61772 with respect to b.\nAnswer: -1101580*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20090 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 428b0?\nAnswer: -428a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12300202201 (base 5) in base 13?\nAnswer: 30cc47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1.995123?\nAnswer: 9.975615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1.01 (b) 32 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 6*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7200) + sqrt(7200)*1 - sqrt(7200))\/(sqrt(10) + sqrt(490)*-1).\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -219*h + 3051. What is t(18)?\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 194 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**6)\/h)**46 assuming h is positive.\nAnswer: h**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 997343660?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830282303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0)\/(-1 + 51\/6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - -148. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1165 = 5*o, -o + 285 - 24 = -5*m. Suppose 3*r + o = 62. List the prime factors of 4\/(-14) - r\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -10. Let j = -105 + 165. Calculate the highest common factor of r and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 13. Let z be a(-8). Let l be (120\/69 + -2)*(-10)\/15. Let r = l + -101\/184. What is the closest to -6 in r, -1\/4, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1056\/221 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112000001 (base 3) in base 8?\nAnswer: 23737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60351167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1321932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -2*b**3 - 23\/24*b**4 + 49*b**2 + 0 + 1\/30*b**5 + 0*b. Factor y(k).\nAnswer: (k - 12)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 593 - 298. Suppose 2*x = -3*x + z. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1447*m**2 + 134*m + 59. Let r(s) = -s**2 + 18*s - 1. Let f(g) = -7*r(g) + u(g). Find the second derivative of f(j) wrt j.\nAnswer: 2908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 851 + -765. Solve -7*y - u = -65 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655144210 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.3. Let t = -0.04 + w. Let d = t + -0.26. Which is the second biggest value? (a) -2 (b) d (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -1. List the prime factors of (-87)\/p + (-2)\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16982.000026545 + 16982. Round o to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v**2 - 27*v**2 + 9*v**2)*(1 - 1 - 4)*(3 - 3 - 4*v) + (2*v**2 + 3*v - 3*v)*(0*v + 4*v + 0*v).\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1624)\/1015)\/((-6 - -1) + (-10 - (-456)\/30))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let v(z) = -z**2 + 10*z + 3. Let j(k) = 3*m(k) + v(k). What is the second derivative of j(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 12*c + 1. Let r be w(-11). Let j = r + 14. Suppose -2*d + 126 = j*k, 3*d = -2*d + 15. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2448 - 452. Which is bigger: t or 1997?\nAnswer: 1997","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5213520, -10427054, -15640588, -20854122, -26067656?\n\"Answer: -5213534*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319*l*w**4 - 86*l*w**2 + 1180*l*w - 15*w wrt w?\nAnswer: 3828*l*w**2 - 172*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67\/20 + 18\/5. Let h = -0.23125 + -45.76875. Which is bigger: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0, 3, 3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1) + -1 + 1. Suppose -5*f + v = -14. Suppose -62 = -3*d + 5*c + 1058, -f*d + 1102 = 4*c. What is d rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4640)\/(-15))\/16 - (-4)\/6. Solve -l - 16 + 1 = -2*h, 5*l + h + n = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-64) + 77805\/560. Is s greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1122 = -3*p, 3*x - 370 = -p + x. Suppose -1300 = -41*f + 422. What is the greatest common divisor of f and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*i + 18. Let m(v) = -v**2 + 9*v + 3. Let l be m(i). Let r be (-6)\/4*(-56)\/l. Solve o - 4 = -5*t - 2*o, r*o + 12 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4564, 4556, 4554, 4564, 4592, 4644, 4726?\n\"Answer: j**3 - 3*j**2 - 6*j + 4572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001803 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0*d**2 + 1\/40*d**5 + 1\/2*d**3 + 0 + 11*d - 5\/24*d**4. Factor w(m).\nAnswer: m*(m - 3)*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -391*a**4\/3 + 889*a**3\/2 - 626*a**2. What is the first derivative of r(k) wrt k?\nAnswer: -3128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*1)*6 + sqrt(171))**2.\nAnswer: 28899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85398 + 85416.1934. Let l = -0.0034 + q. Let a = l - 18. Round a to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449 is divided by 86.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 5*z**2 + 15*z + 52. Give m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:03 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -73.698081 + -1\nAnswer: -74.698081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2201 + 2155. Suppose 487 = 4*d + 91. Let w = o + d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4157*y = -249 + 60 + 4346 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8883 and 54943?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -v + 2*h, 5*h - 8 = 4*v. Let w be v\/4*-2 - -1. Suppose -w*r = -4*i + 48, 2*i + 5*r = i + 23. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/29 and 31\/986.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13402 - 0?\nAnswer: 13402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.4. Let w(p) = -p + 4. Let y be w(1). Which is the smallest value? (a) y (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52863 and 100098?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6012528388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cseercrscrcce. What is prob of sequence csrs?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 + 354*r**2 - 16*r**3 - 355*r**2 - 3 + 1 to d*r**3 + f*r**2 + t + z*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/151 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(3*40\/15*(-7)\/(-49)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20202 (base 3) to base 15\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21336967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 7*w. Let f(o) = -9*o**2. Give f(g(v)).\nAnswer: -9*v**4 - 126*v**3 - 441*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1107479092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phoehddx. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*c = 942 + 838 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5725.983 micrograms in tonnes?\nAnswer: 0.000000005725983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2843\/9 - 316. Which is the fourth smallest value? (a) j (b) 2 (c) 4\/5 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3397 - 11?\nAnswer: -3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -10408 at most -11088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-5))\/((-14)\/2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048 + 1502 = -102*d - 0*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*n + 978*n + 1663*n = -3163*n + 150768 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 6. Let t be k(5). Let m(a) be the first derivative of -a**5\/4 - 4*a + 4. Let q(l) be the first derivative of m(l). Calculate q(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37718473 and 377?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9020 divided by -55.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 425111 + -4?\nAnswer: 425106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, r: 2, q: 3, j: 9}. What is prob of picking 2 h and 1 j?\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -34*o**2 - 13*o. Let n(p) = 4*p**2. Give k(n(r)).\nAnswer: -544*r**4 - 52*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 303207708*w**2 + 104085047*w + 2?\nAnswer: 606415416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002717573 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k + 30. Calculate m(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 36304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -237845354528 - -40\nAnswer: -237845354488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000126401 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/13, 122\/3, 2\/3, 0.3 in ascending order.\nAnswer: -2\/13, 0.3, 2\/3, 5, 122\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.432 rounded to two dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -486, -0.3, -393, -1\/5?\nAnswer: -486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3)\/(-5)*4\/6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2116 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10561 - -14856. Let d = b + -4295.9955. Let i = d - -1. Round i to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4764551394 divided by 6.\nAnswer: -794091899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110001101111000 (base 2) to base 10.\nAnswer: -123768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 801*x - 24 = -804*x, 4*r + 30 = 3*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + (-5*((2 + sqrt(171))*-6 + sqrt(171)) - (-1 + (sqrt(171) + -1 - sqrt(171)) + (sqrt(171) + (-2*sqrt(171) - sqrt(171)) + -5 - sqrt(171)))))**2.\nAnswer: 11256*sqrt(19) + 138553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -11*y + 31365. Suppose -7*l + 2950 + y = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 12 - 12 + (-10 + 1 + 3)*(-35*c + 5*c - 16*c) + 2*c - 3*c + 2*c.\nAnswer: 281*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -1301 (c) 1 (d) 0 (e) 161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4.8. Let t be (-42)\/(-9) + -3 + -2. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(931) + 2*(0 + sqrt(931) - sqrt(931)))*-1 + -3)**2*-3.\nAnswer: -2841 - 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6969 - -104534\/15. Put i, -2\/7, 9, 0.3 in increasing order.\nAnswer: -2\/7, i, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*1 + -2 + -1. Let f = x + -12. Let i = f - -30. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-16) - -1*29\/8. Suppose 4*v - 4*t - 20 = 16, 2*t + 42 = 5*v. Let c = 9 - 12. Sort 5, v, c, w in decreasing order.\nAnswer: v, 5, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139113914273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1368 - 1378. Which is the closest to u? (a) -0.1 (b) 2\/5 (c) 2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15350 (base 7) to base 8.\nAnswer: -10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 13*p**2 - p - 12. Let t be g(-13). Let i be (t - -1)\/(10\/(-15)). List the prime factors of ((-4)\/i)\/((-2)\/(-144)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*v = -88*v - 78 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/89 - -2599\/1246. Calculate the common denominator of r and 43\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -1\/8*x**2 - 77\/4*x - 5929\/8 = 0.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/5)\/((-80)\/(-96))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 62. Let n(f) = -f**3 - f**2 - 2*f - 3. What is n(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246 - -249. Solve -k = -4*x + 24, 2*k + k + 3*x = g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3304 times -1.2?\nAnswer: 0.39648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(4\/3)\/b)*b*b**(-13\/6))\/((b*b*b*b**(2\/25))\/(b*b**(-1\/15))) assuming b is positive.\nAnswer: b**(-397\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9092304 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:02 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41266 - 41259. Let k(r) be the second derivative of -1\/15*r**5 + 0*r**3 + 0*r**6 + 0*r**2 + 0 + 2\/63*r**s + 21*r + 0*r**4. Factor k(g).\nAnswer: 4*g**3*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 112, -1, 88, 9, 3 in increasing order.\nAnswer: -1, 1, 3, 9, 88, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2175 = 30*b + 513 for b.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -5120500502?\nAnswer: -5120500510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*w)*(w**2 - w**2 + 4*w**2)*(0 - 2 + 1).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 + 4085*m - 2. Let o(r) = 68*r. Give k(o(s)).\nAnswer: 18496*s**2 + 277780*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3.984. Let l = j - -0.0114. What is l rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -3521.54752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (114\/456)\/((-2)\/(-184)). Let x(l) = -3*l**2 + 16*l - 12. Let c be x(4). Let o be (2 - (-7)\/(-2))*-2. Solve 7 - g = -4*v - 2*h, c*v = -o*h + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6189671, -12379340, -18569009, -24758678, -30948347?\n\"Answer: -6189669*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 + 22*m**3 + 0*m**3 + m + 7*m**3 + m**3 in the form y + j*m + f*m**2 + r*m**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306227047?\nAnswer: 7, 19, 71, 32429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-451)\/41\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 675*o**3 - 3*o**2 + 3 + o**2 - 674*o**3 + (1 + 2 - 1)*(0*o**3 + 0*o**3 + o**3).\nAnswer: 3*o**3 - 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2922 and 199252641?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5)\/(240 - 111)*1\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2146, 1\/3, 2\/119.\nAnswer: 2\/119, 2\/13, 1\/3, 2146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 287936 - 1678?\nAnswer: 286258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -469 - -529. Which is greater: s or 58?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 171.260275 and 5.\nAnswer: 176.260275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2004 = 4*y - 2*c + 1982, -4*y + 3*c = -33. Let n = -3 + -2. What is the closest to n in -0.3, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 7 + -2 + 2 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*h - 27 = -31, 2*x + 5*h = 8. Which is the closest to 0.3? (a) -0.1 (b) -0.4 (c) x (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 6*r**2 - 7*r - 3. Let x be -14*(-1)\/((-4)\/(-2)). Let c be a(x). Is 1 + 3 + 5 + c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 1:04 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 17 = 33 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 983 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let j(g) = 7*g**2 + g - 2. Let x be j(-2). Let c be (-16)\/x + 11\/3. Let h(l) = 4*l**2 - 5*l**2 + c*l**2 - l**2. Calculate f(h(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*96.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36690\/19568*(-4)\/6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 37, -5, -2, 2, -1736 in increasing order.\nAnswer: -1736, -5, -2, 2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -244373613256.25\nAnswer: -244373613264.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*y + 665 = -47*y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**4\/6 - 4*q**3\/3 - 5*q**2 + 7*q + 5. Let f(t) be the first derivative of j(t). What is x in f(x) = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -572 + 3?\nAnswer: -56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 1. Let v(b) = -b + 14. Let u be v(8). Give t(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 124. Let a = 179 - o. Let f = a - 45. Solve 5*u + 10 = -5*j, j = -4*u - u - f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k - 61*k - 18*k + 102*k**3 - 30*k wrt k?\nAnswer: 612*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - a + 6*a - 5*a - 23*a**2 + 148*a**2.\nAnswer: -3*a**3 + 125*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4898707 to the nearest integer?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 239807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*p = 17, -13 = -2*v + 48*p - 45*p. Sort -8, v, -5 in decreasing order.\nAnswer: v, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 4. Let r(p) = p**2 + 2*p + 1. Let c be r(-3). Suppose 2*z = z - c. What is the units digit of n(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/866139 and -16\/13276065.\nAnswer: 809839965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n + n. Let r(i) be the third derivative of 0*i + i**2 + n + 1\/20*i**5 + 1\/6*i**3 + 1\/120*i**6 + 1\/8*i**4. Factor r(o).\nAnswer: (o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:37 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 8*t + 4. Suppose -20 = 4*i + i. What is the remainder when k(i) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 19*n - 40. Let i be t(-16). Let h be 0\/((-12)\/i - 2\/4). Solve x - 6*x = h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 5*o**2 + 2*o**2 - 10.\nAnswer: 7*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.5 + 5. Let v = u - -0.5. What is the closest to v in -2\/13, 0.3, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-16) - 0)*-12. Suppose -g*x + 77 = -247. Let b be (91\/21)\/((-2)\/x). Round b to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7 - (7 + -7)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Let l = 2\/15 + -11\/15. Let v be ((-2)\/(-4))\/(10\/20). Which is the closest to v? (a) 5 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {e: 7, t: 3, w: 3, b: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2564 + -1533. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**9\/7056 - 11*g**8\/3920 - 6*g**3 + g**2\/2 - 111*g + 1. Let b(p) be the second derivative of y(p). Solve b(n) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 0.5 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86 + 71 - 61) + 0 + 6 - -10.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 - -209. Suppose 0 = -2*b + j + 32. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-424 - 111*r - 278*r + 424)*(r**2 + 2*r - 2*r) to the form m*r + d + j*r**2 + q*r**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 3*z)*(-174*z**2 + 0*z + 184*z**2 - 4*z).\nAnswer: -30*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbnbbbbbbbnbbnb. Give prob of sequence bnn.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16))\/(49\/(-490)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/36)\/(174\/1566).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0, 117, 1 in increasing order.\nAnswer: 0, 1, 3, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o*(o\/(o\/(o**(-1\/21)*o)))\/o*o))\/(o*o**42) assuming o is positive.\nAnswer: o**(-881\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 7:10 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -t - 73*u + 76*u, -92 = -4*t - u for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/(-4) + 0). Factor -21\/2*h**2 + 10*h + 7\/2*h**4 - r - h**3.\nAnswer: (h - 1)**2*(h + 2)*(7*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2 = -2*d + o, 5*d = -4*o - 3. Let t(s) = -s**2 + 8*s - 4. Let j be t(8). Is 21 a factor of 80 + (d + -2)*j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.92 - -0.08. Let o = 5 - 8. Let v be (-39)\/63 + 8\/28. What is the third smallest value in v, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122479799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35983750?\nAnswer: 2, 5, 11, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*k - 249 = -98 + 599 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.1. Let v = -22 - -21.5. What is the third biggest value in -2, p, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -c - 3*a - 5, 5*a = 3*c + 25. Let s(x) = x + 41. Let q be s(-39). Suppose 2*j + j - 11 = -t, q*t + j - 7 = c. Solve 2*b = t + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72803423*y**2 + 36702514*y wrt y?\nAnswer: -145606846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 3175716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 50 = g. Suppose 24 = 5*i - 76. What is the lowest common multiple of g and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8232 = 3*x. Let i be (6\/7)\/((-14)\/x). Let s(d) = -3*d**3 - 49*d**2 - 17*d - 8. Let c be s(-16). Calculate the highest common factor of c and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 3*p**2. Let g be m(-2). Suppose s - g*s = -v + 15, v = -3*s - 3. Let c = -4 + v. Solve -5*h - c*r = 2, 7*h - 3*h - 4*r - 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 1 + 1 - 175*u**2 + 171*u**2 to y*u + v*u**2 + o and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000318388 rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -36?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 6:48 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 195.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*r = -188*r + 12901. List the prime factors of r.\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*p - 9, 5 = 10*m - 9*m + p. Solve x - 5 + m = -2*y, 0 = -x + 4*y - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*q**2 - 30*q**3 + 8564*q**4 - 8569*q**4 - 30*q + 2*q**2 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 23. Let b = 49 - 44. Let n be a(b). Suppose 3*k = -n*w - 1 + 4, -w = k. Solve t + 1 = -k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 1. Let d(s) = -18*s - 8. Let a(g) = -d(g) + 6*r(g). Give a(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laaelellwawlo. What is prob of picking 1 l and 1 a?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlrgrxyzy. What is prob of sequence xgyx?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12425 and 143191025.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135778 is divided by 794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 15*l**2 - l + 29. Let d be (-189)\/42*-10*(-1)\/(-3). Let n be x(d). Let r be ((2 - 1)*4)\/2. Solve m - 19 = -4*q, 4*m = r*m - 2*q + n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -278428718*j**2 + 93057885 wrt j.\nAnswer: -556857436*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5\/4 - x**2 + 19\/4*x = 0?\nAnswer: -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 113*t - 115*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 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: Collect the terms in 228*i**2 + 281*i + 215*i**2 - 456*i**2 - 281*i.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1967\/2 - 1022. What is the common denominator of 49\/16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944*f**3 + 64*f**3 + 875*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6492 (base 11) to base 6.\nAnswer: -103403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = o - 9, 4439*o + 3*y + 24 = 4435*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*y + 315, -y + 76 - 16 = u. What is the remainder when 452 is divided by u?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 7*r**4 + 3*r**3 + 5671*r + 5857*r - 11528*r - 17 as t*r**3 + f + l*r**4 + s*r + c*r**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -403*i**2 - 6*i + 5. Let p(a) = 807*a**2 + 11*a - 9. Let v(o) = 5*c(o) + 3*p(o). Is v(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 18*d + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1678*n**2 - 10605*n**2 - 349*n + 349*n - 209*n**2.\nAnswer: -9136*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/16)\/(1\/3). Let s = 3.95 + -4.45. What is the second biggest value in t, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6516860 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**5 - q**4 + q - 1. Let s(u) = u**5 - 7*u**4 + 10*u**2 + 6710*u - 2. Let d(y) = 2*n(y) - s(y). Find the second derivative of d(j) wrt j.\nAnswer: -100*j**3 + 60*j**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 358 - -164?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:34 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12 and -111\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95553499*z**4 + 3*z**2 - 2852061 wrt z?\nAnswer: -2293283976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44916 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4374, 18037, 40816, 72711, 113722?\nAnswer: 163849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6)\/(21\/((-252)\/(-8)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75299963 to the nearest integer?\nAnswer: 8678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549285 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Suppose 3*p - 2*p + 2*h = 107, -h = -u. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3364, -3141, -2542, -1381, 528, 3371?\nAnswer: 7334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 972.8274 tonnes?\nAnswer: 972827400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -190411, -380846, -571279, -761710, -952139, -1142566, -1332991?\n\"Answer: z**2 - 190438*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2915 + 2915. Sort 0.1, -0.5, 125.1, x in decreasing order.\nAnswer: 125.1, 0.1, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 1. Let o(i) = -9*i**2 - 6*i - 12. Let b(f) = -12*l(f) - o(f). Factor b(h).\nAnswer: -3*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6599 - 6644 - 1*-79.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1216) + -2*(sqrt(1216) + -1))**2 + (sqrt(171) - ((sqrt(171) - (sqrt(171) + -4))*1)**2))*-4.\nAnswer: -4828 + 116*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 821 (base 9) in base 6?\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(95)*4)\/(sqrt(5) - sqrt(125)*-1).\nAnswer: 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzggz. What is prob of sequence zzg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 93, -4, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5168 = 28*b - 44*b. What is the remainder when b is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625027 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1485 + -1483. Which is greater: 0.34 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 9. Let o = 12 - 8. Suppose -y - 3*y - x = 31, o = -y - 4*x. Calculate k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 18*s + 48*s - 25*s + 22 + s**2 + 8. Let r be k(0). Which is greater: 123\/4 or r?\nAnswer: 123\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(2 - 2 - -1). Suppose -3*f + 5 = -r. Let i = -19856\/9 - -2206. Sort i, f, -4.\nAnswer: -4, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Suppose 4*z - 6 = g*z. Sort 0.4, z, 17 in ascending order.\nAnswer: 0.4, z, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -146*h + 164. Let n be i(-6). Let p = n + -698. Is p a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15164 divided by 68\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 6 (b) 2 (c) 4\/7 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42299 is divided by 3838.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 1632*k**5\/5 - 4521*k**2 - 13*k - 411. Find the first derivative of v(x) wrt x.\nAnswer: 19584*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lty when three letters picked without replacement from ytttltttsyttstlys?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 85. What is the smallest common multiple of 9 and j?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1 minus 18334.68?\nAnswer: -18316.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -114276, -457077, -1028414, -1828287?\n\"Answer: -114268*m**2 + 3*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -747 - -1136. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*n + 2*z, -2*z + 2 = -n - 4*z. Let h be (-2)\/n*1 - (-33550)\/(-40). Let t = h + 1816. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5802 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 4*f + 6. What is the units digit of j(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 2)*168\/(-7). Let f = g - -26. Let n(v) = 2*v**2 - 2*v - 2. Calculate n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104\/(-552)*((-275)\/(-10))\/11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 306 + 303 - 608. Let i(w) = w + 5. Calculate 9*h(o) - 2*i(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1928979*n - 3 = 1929032*n - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa3b7 (base 14) in base 13?\nAnswer: 401394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 6 + 21, -12*g + 10*g + 18 = 2*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**2 - f. Suppose -14*v = -5*v - 54. Let t(k) = 9*k**2 - k. Determine v*b(h) - 5*t(h).\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 58, -1, 2, -3 in ascending order.\nAnswer: -3, -1, 0, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 2. Let p be (q\/6)\/((-6)\/(-9)). Let s be (-2 - -12)\/((-1)\/p). What is the greatest common divisor of 100 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 19*i**2 - 91*i - 12. Give v(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 8*x**2 - 7*x - 54. Let l be k(-8). Solve -3*r = -l*o - 4, 2*r = 7*o - 2*o - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2667, 3.\nAnswer: -2667, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 73275671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 10839 = 3*z - 10843, z + 12 = -3*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5557 = -4*i, 0*i - 12 = 3*i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a meter in centimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.018858 centimeters in millimeters?\nAnswer: 80.18858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 556\/13 (b) 0.3 (c) 0.5 (d) -0.41 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3715 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 6 - (-4 - 1). Let t(d) = -d - 1. Let f(m) = 2*m + 3. Let q(h) = 3*h**2 - h. Let l be q(1). Determine l*f(o) + n*t(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.06 (b) 2 (c) 1\/21 (d) -2\/23 (e) 219 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3203.998287 - 3204. What is n rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -242. Suppose 0 = 6*o + o + m. Let l be (-2 - 26\/o) + 7141\/(-6). What is l rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 5, -0.5, -508141, 0.2 in decreasing order.\nAnswer: 5, 0.2, -0.5, -3\/5, -508141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - 2) + (-35 - -33)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Factor 4*h - 60*h**q - 21*h**4 + 76*h**3 - 7*h**3 + 8*h.\nAnswer: -3*h*(h - 2)*(h - 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-498)\/9 + -6)*-9. Suppose 0 = -6*i + 2*i + z. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2002 + 1201203?\nAnswer: 1133201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*i - 5*d - 90 = 310*i, -76 = -5*i - 4*d. What is the remainder when 8459 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:44 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -5 (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 360 + -2161\/6. Which is the closest to 0? (a) 2\/153 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (-4)\/6 + 74\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -73*a + 105. Let p(n) = -3*n. Let f(h) = p(h) + u(h). Find the first derivative of f(w) wrt w.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7238 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14\/9 - 8\/9. What is the closest to 3 in 1, r, -0.21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/33 and -22\/73811913.\nAnswer: 811931043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c - 28. Let h(y) be the third derivative of y**5\/60 - y**4\/2 + 4*y**3\/3 - 12*y**2. Let t be h(10). Is k(t) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*k - 123, 0*u - 5*u + 41 = k. Suppose -n + k = -0*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260957*f**3 - 2*f + 4*f + 260846*f**3.\nAnswer: -111*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -21, 1.\nAnswer: -21, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 11. Which is the closest to -4? (a) d (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -397 - -235. Let l = g - -267. Calculate the remainder when (l\/(-30))\/((-2)\/20) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v. Let x(s) = 86*s**2. Determine x(p(l)).\nAnswer: 774*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*g + 2*m, -3*g + 64 = -g + m. Let f = g - 2. Suppose -o = -4*o + f. What is the greatest common divisor of 70 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2121661 and 4.79?\nAnswer: 2121665.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 + 287 = 2*q - u, 0 = 4*q + 2*u - 1530. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 10725*r**2 + 2345955*r - 11998525.\nAnswer: 5*(r - 5)*(r + 253)*(r + 1897)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 4:01 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Suppose 125 = c*n + n. Let l(d) = -24*d + 1. What is the remainder when l(-3) is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 4}. What is prob of picking 2 y and 1 j?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1 + t + 7 - 8. Give u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or 307?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -735.5018 - 24.4376. Let d = l + 760. Round d to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-1 + (-11)\/(-1))*(-1239479)\/(-373)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351 and 182?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3032 divided by -1\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1375848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653*b**3 + 4418394*b**2 - 4418394*b**2 - 639*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*w**6 - 158*w**2 wrt w.\nAnswer: 10560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**4\/4 - 2*v**3\/3 - v**2\/2 + 3646*v - 8. Let s be k(0). Let t = s + -1545. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(300) - 1*sqrt(300)*1) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:40 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 9*n + 0*n - n**2 - 4 + 2.\nAnswer: -n**2 + 15*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 13726.1 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 100 - (37 - (1 - -16)) - (3 + -5 + -3)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 56 + 23 = -3*t, 3*t = 207*j - 209*j - 36 - 3 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - 60. Let c = h - -50. Which is smaller: c or -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 11*n - 10. Let l be p(-10). Suppose -5*x + 20 = m, 3*x - 5*x - 4*m + 8 = l. Let k(h) = x - 1 - h - 2. What is k(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101001000 + 1?\nAnswer: 1111101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121240111 - 0?\nAnswer: -121240111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1551 and 4089.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33897*a**4 + a**2 - 76*a**5 + a**3 - 33897*a**4 - 74*a + 10*a**6 - 1 wrt a.\nAnswer: 1200*a**3 - 4560*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -o, -4 = 3*o - o - 4*c. Let p(s) = -s - 8. Let z(m) = m + 7. Let h(r) = -2*p(r) - 3*z(r). Calculate h(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h = 1951 - 115. What is the highest common factor of h and 1548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.36 + 15. Let p = w + 0.76. Which is the third smallest value? (a) p (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 260108, 520216, 780324, 1040432, 1300540, 1560648?\n\"Answer: 260108*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - h**2 + h - 2. Let t(s) = 7*s**3 + 37*s**2 + 43*s - 82. Let z(b) = -m(b) - t(b). Factor z(u).\nAnswer: -4*(u - 1)*(u + 3)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 41 = 44*y - 36*y, 3 = -3*y - 5*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8552 and 4276?\nAnswer: 8552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 26*v. Let d(a) = 10*a. What is d(g(m))?\nAnswer: 260*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 1. Let t = -25 + 26. What is x(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 6308 = 6428 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 15*v + 40. Suppose 7*p - v*p = -36. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/2)\/o*o*o\/o**(-3)*o*o\/(o\/((o\/o**(-2))\/o*o))*o*o**(-2\/9)*o)\/((o*(o*o*o\/(o*o\/(o\/o**1))*o*o)\/o*o)**(-37\/4))**(14\/9) assuming o is positive.\nAnswer: o**(389\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g\/g**(3\/10)))\/g*g**(-2\/11)*((g*g**(1\/4))\/g)**(-1\/31))**(-11) assuming g is positive.\nAnswer: g**(-751\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 120054877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 11*z**9\/63 + 193*z**5\/60 + 9*z**2 + 19*z. What is the third derivative of l(w) wrt w?\nAnswer: 10560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 6*r - 10. Suppose -5*q = r*b - 220, 5*b - b + 136 = 4*q. Suppose -5*t + 2*t = -q. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 2. Let z(x) = 10*x**2 - 6*x + 9. Let y(m) = 4*h(m) - z(m). Determine y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 14*l + 150. Let r be a(18). Let m = 31011\/10 - 11808\/5. Let p = r - m. Find the common denominator of p and -31\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54242 is divided by 5421?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*j - 2*j + 8, 2*j - 2*o - 12 = 0. Suppose 2*c + 40 = j*c. Suppose -c*f = 2*r - 445, -f + r - 177 = -3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3805776 seconds to minutes.\nAnswer: 0.00634296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -10, 0.02, -0.4 in decreasing order.\nAnswer: 103, 0.02, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 2*z**2 + 3 - 3*z**3 - 10 + 8 + 8*z**3 to the form m*z**2 + s + c*z**4 + p*z**3 + q*z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -433780 equal to -433780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:52 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181077 = 9*z + 94898 - 132692. List the prime factors of z.\nAnswer: 83, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -80*s + 31. What is the units digit of l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 12. Let q = k + -6. Suppose -3*y - 2*y - 3*p + 50 = 0, y - 5*p = q. Solve 0 = 4*h - 5*t - 19, 3*h - h + 5*t = -y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496 <= -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247021508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 547*j**5*z + 25*j**3*z**3 - j - 60397*z**3 wrt j?\nAnswer: 10940*j**3*z + 150*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -556, -2268, -5110, -9070, -14136, -20296, -27538, -35850?\n\"Answer: 2*n**3 - 577*n**2 + 5*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - 5*d**2 + 3*d + 3*d**2 - 4*d**2 + 0*d**2 + (4*d - d - d)*(-19*d - 61*d + 19*d).\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 31231 and 31231 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cocvoccvococcoccccc. What is prob of sequence voco?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -9\/4*g**5 + 0*g + 1\/14*g**7 - 17\/12*g**6 + 85\/12*g**4 + 2*g**2 + 20*g**3 - 235. Find v, given that b(v) = 0.\nAnswer: -1, -2\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 5*j = 15, 2*l - 3 = j. Suppose l = -5*r - 25, -8 = -4*c - 4*r - 0. Let p(y) = -y + 6. Determine p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12475+158471554\nAnswer: 158484029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 324591*l**2 + 5*l + 3. Is f(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 0, 3*t + 55*x - 90893 = 50*x. What are the prime factors of t?\nAnswer: 157, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21790980 by 4358196.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -8.31. Let a = t - -0.21. Sort a, 0, -2\/5 in decreasing order.\nAnswer: 0, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.66 + -0.26. Put -0.01, -3, z in descending order.\nAnswer: z, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3590)\/2872*(8\/80)\/((-2)\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -13\/6 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 77?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Suppose -4*p = l*j - 28, -j = -6*j + 20. Is 4*p\/48*93 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 2 + 6*w - 2*w. Let l(v) = -v. Give -c(r) + 2*l(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4)*(-879)\/(-18). Let m = -96 + s. Find the common denominator of m and -7\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 401.243829 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 18125*s**2 + s + 4. Let z be w(-4). What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*l + 43. Let s(u) = 2*u - 8. Let z be s(6). Suppose 2*b = z*b - 26. What is the remainder when l is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 12*k**2 - 1. Let o(z) = z**3 + 11*z**2 + 1. Let s(y) = 3*o(y) + 2*q(y). Let m be s(9). Solve -3*c = 4*w - 5*w, -c = m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 137, 151, 183, 239, 325, 447, 611?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - 10 - (-482)\/(-6). Let d = c - -82. Sort 1\/11, d, 0.4 in descending order.\nAnswer: d, 0.4, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/5, -5, 13014 in increasing order.\nAnswer: -5, 22\/5, 13014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210 + -208.51. Let g = 0.51 + d. Which is the closest to 2? (a) -3 (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 - 8*p**4 - 80*p**3 + 248*p**2 - 244*p + 80.\nAnswer: 4*(p - 4)*(p - 1)**3*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15025374 at most as big as 15025336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21248464 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*t + 30*t - 5 + 2*t**2 - 141*t + 7.\nAnswer: 2*t**2 - 253*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.4711.\nAnswer: 0.9422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 33 = 3*l, l + 0*l - 3*q = 5. Let m = 2 - l. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000331 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 4*b + 1. Let u be i(-4). Suppose 6 = -q - u. Let j = -5 - q. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offkookopookopopfoo. Give prob of picking 1 p, 1 k, and 1 f.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 2143*u**2 + 50862*u - 172. What is x(24)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -31\/2, -6, -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3533 - 7060 = 2*z + 5*g - 3460, 93 = -2*z + 21*g for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 - 5*f**2 - 4*f + 7. Let i be p(-8). Suppose -5*c + i = c. Solve 3*a + c - 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1914 (b) -153265 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(sqrt(84) + -1*(sqrt(84)*4 + sqrt(84)) + sqrt(84)))\/((sqrt(72)\/(sqrt(6) + sqrt(6)*-3) - sqrt(12))*-6).\nAnswer: 20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -537*y + 75176. Give z(139).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-8) + 420\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 29. Let u = -54 + 44. Let j be d(u). What is the greatest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.343.\nAnswer: 0.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 plus -1951?\nAnswer: -1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d + -2b?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c**2 - 600*c - 1983. What is u(-51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20101 - -33?\nAnswer: 20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -765 + -35?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-16)\/((-64)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 23 = -3*x. Let m(b) = 22*b - 1. Let r be m(1). Suppose -9 = -x*a + r. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-30)*i)\/(i*(i*(i\/(i\/i**(3\/8))*i)\/i*i)\/i))\/(i**(9\/7)*i**(-19)*i) assuming i is positive.\nAnswer: i**(-821\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*a - 172*a + 3235 = -6362 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1136 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9484\/10 + 12\/(-30). Let v be o\/(-27) - (-3)\/(-9). Let b = 34 + v. Find the common denominator of 19\/9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g + 56*g + 36*g = 30. Solve 5*t = -5*d, -2*t - 3*d + 15 = g*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**2 + 3*g**2 + 11*g**2 + 0*g**2 as c*g**2 + b*g + i and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/(-63) - (1040\/(-140) + 8).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121032563 and 3?\nAnswer: 363097689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 387*d**3 + 4. Let w(k) = -772*k**3 - 9. Give 9*g(n) + 4*w(n).\nAnswer: 395*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -5*sqrt(102)*-1)\/(sqrt(54)*-1).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-6)\/(-16) - (-300)\/(-288). What is the closest to l in 2\/3, -4, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.08, 0, -0.015, 86.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -68.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = 12. Let b = -16 + 11. Sort -2\/3, b, c.\nAnswer: b, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktbbbkk. What is prob of picking 1 k and 1 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8963861*i**3*x - 355*i**2*x + 2979*i*x wrt i.\nAnswer: 53783166*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - 4*a + 6*a)*(0 + 4 - 1 - 2 + 7 - 2 + (-1 + 4 + 0)*(4 - 6 + 4) + (1 - 2 + 3)*(0 - 1 + 3) - 5 + 2 + 1) to v + c*a and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 65546424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:14 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -76 (c) 333 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + 1 + -2*sqrt(2))**2 + 4.\nAnswer: 8*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -859, -2201, -4135, -6661, -9779?\nAnswer: -13489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d**5\/45 - 7*d**4\/18 + 4*d**3\/9 - 61. Solve x(u) = 0 for u.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*p = -65*p + 129*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*((z*z**1\/z)\/z)\/z)\/z)\/z)\/z)\/z)**(-2\/7)*(z\/z**(-2\/13))\/(z\/z**(-1\/3)) assuming z is positive.\nAnswer: z**(263\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (18\/189)\/((-4)\/(-294))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38409 and 5369.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728048941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r - 3. Let j be o(-1). Suppose -j*g = -2*f, -9*f + 4*f - 6 = -4*g. Let z be g\/(-6) - 125\/(-18). Is 6 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -544 - -1664. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12264 and 564582?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -9 - (11 - (2 + (2 - 0)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*a + 26*a - 15*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b - 19*b + 11 + 6*b - 3. Let h(m) = -5*m - 7. Let s(q) = 5*h(q) + 4*p(q). Give s(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from -12076692.\nAnswer: -12076709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.50690495 rounded to four decimal places?\nAnswer: 1.5069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -20*t + 17*t. Let a = 251 + -57. Suppose f - 4*f + a = 5*o, -o + 316 = 5*f. What is the highest common divisor of f and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135552544 (base 6) to base 10\nAnswer: -2798704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-2\/11))\/b)\/b**(1\/6))**(-24)*((b*b**(-1)*b)**(-42))**50 assuming b is positive.\nAnswer: b**(-23368\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose -19 = 2*y + 5*v, 0 = -v + 5*v + 20. Suppose w - y*w + 66 = c. What is the greatest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -218.00000622 - -218. What is q rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773028.02 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5591*n**3 + 2776*n**3 + 1190*n**3.\nAnswer: 9557*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -25 + 226. Suppose 89 = -3*f + 4*f. Let c = f + -74. Calculate the remainder when i is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56\/75 + -2\/25. Let r(a) be the first derivative of 2*a**2 - n*a**3 - 1 - 2*a. Factor r(g).\nAnswer: -2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50) + 4)*-1 - (-1*sqrt(10)\/sqrt(5) - (sqrt(2) - (-5 + 0 + sqrt(2))))) + -3)**2.\nAnswer: 16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/3 + 109*a**3\/3 - 85411*a**2\/3 + 6979739*a\/3 + 4767326 = 0.\nAnswer: -381, -2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2726 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 822624 by -4.\nAnswer: -205656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-5*(sqrt(363) + -1 + 4 + sqrt(363) + 4))**2 - (-5 + (5 + -3 + sqrt(363)*-1)**2)) + 5.\nAnswer: 7744*sqrt(3) + 37168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.78 + -0.22. Let l = s + 15. Sort l, 2\/3, -2 in ascending order.\nAnswer: -2, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -7*k**4\/24 + k**3\/3 - 11*k**2 + 11*k. Let d(q) = -14*q + 4. Determine -3*d(h) + 5*v(h).\nAnswer: 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 + 4 = 0. Suppose -c*g - 4*t - 69 = 5, 0 = 3*g + 3*t + 72. Let w = 22 + g. Solve d - 3 = -w*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by 162?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31231000 (base 4) to base 11.\nAnswer: -39196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764 - 4508 = -146*r - 78*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 3*l + 27. Let g be l*(-20)\/154*96. Let r = 44947\/132 - g. Calculate the common denominator of 81\/14 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24745051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*q**3 - 27 + 63\/2*q - 12*q**2.\nAnswer: 3*(q - 3)**2*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + -112. Let m(i) = -i**3 + 15*i**2 + 3*i - 39. Let j be m(b). Calculate the highest common factor of j and 76.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 190. Let h be q(35). List the prime factors of (2172\/(-20))\/(15\/h).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1737 - 1773. Which is the fifth biggest value? (a) r (b) 0.5 (c) 4 (d) -2\/15 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11 = 5*b + 2, -c - 5*b - 21 = 0. Suppose -c*h + 35 = h. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3444860.\nAnswer: 2, 5, 172243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 15056*p + 120459. Give c(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19342\/9 or 556\/5?\nAnswer: 556\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = s + 3*s + 4*b, -4*s = -5*b - 12. Let l be 7120\/36 + s\/(-9). What is the highest common divisor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 q, and 1 g when four letters picked without replacement from qqlclogrcgcq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 7*f**2 + 8*f + 7. Determine c(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/120 - o**5\/60 - o**4\/8 - 2*o**2. Let a(k) = -k**3 - k**2 - 4*k. Give 3*a(x) - 4*n(x).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (42 - 8) - 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 88376711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(20)\/sqrt(2) + sqrt(10))*-4 + 1 + -1 + sqrt(17) + 5*(sqrt(17) - (0 + sqrt(17))) + 5)**2*-1.\nAnswer: -42 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 106 (b) -1\/22 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1*(-4 - -2). Suppose -6*p = -p + 2*j + 12, 2*j = -s*p - 8. Let a(r) = r**3 + 4*r**2 - 6*r - 3. Calculate the remainder when a(p) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c - -16?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -889 - -884. What is the nearest to 1\/4 in 2\/13, o, -0.2, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 - -627. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19917.752 - 0.248. Let z = s - -19910.9938. Let m = 7 + z. What is m rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2567035 to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13306415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 2*w**2)*(-1862 + 3*w - 146 + 247 - 1311).\nAnswer: -3*w**3 + 3072*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8 = 4*l, 0 = -2*l - 3*k + 117 - 113 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 845*b + 1279 with respect to b.\nAnswer: 845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/55125 and -57\/17630?\nAnswer: 194370750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -946522878+-24305\nAnswer: -946547183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8655420 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-62)\/(-15) - (-2)\/(-15). Suppose 334 - 110 = o*q. Let i = -3 + 10. Calculate the highest common divisor of q and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Suppose 2*b - 2 = -0. Let t(h) = -1. Let g(o) = 5*o**2 - 5. Let r(s) = b*g(s) - 5*t(s). Determine n(r(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -455*f**2. Let k(b) = b**2. Calculate k(m(n)).\nAnswer: 207025*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4250 - -7593. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**7\/105 + r**6\/30 - r**5\/30 - r**4\/6 - 9*r**2\/2 - 8*r. Let c(d) be the first derivative of j(d). Solve c(m) = 0 for m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sixths of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112640 by -10240.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**2 - 11148*k - 634 wrt k?\nAnswer: -4*k - 11148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (18 + -19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 2\/9 (c) 0.1 (d) 1\/4 (e) -3\/2 (f) -37422\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/20 - 7*n**4\/12 + 26*n. Let w(z) = 3*z**2. Let c = -17 + 11. Let y be (c\/(-4))\/(3\/6). Calculate y*a(m) + 7*w(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 152, -413, -996, -1597, -2216, -2853, -3508?\n\"Answer: -9*a**2 - 538*a + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-6) + 16\/24. Suppose c + 2*s = 11, c + a + 11 = 5*s. Let i be 12\/(-1 - (-15)\/6). Solve i = -v + c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y**2 - 7*y - 7. Let f(p) = 5*p**2 - 3*p - 3. Let r(j) = -3*b(j) + 7*f(j). Let z(d) = 7*d**2 - 8*d**2 + 4*d**2. Give r(z(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 52*t**2 + 2*t + 106. Let q be j(-52). Let v(y) = -29*y + 6. Give v(q).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 - 158*r + 76*r + 82*r - 40*r**4 wrt r?\nAnswer: -160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.8 - 38. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a**(-17)\/a)\/((a\/a**5)\/(a*(a\/a**(3\/7))\/a)) assuming a is positive.\nAnswer: a**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/31 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let h = 0.01 + -5.01. Put q, 0, h in decreasing order.\nAnswer: q, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1728*q**2 + 65665*q - 36. Give m(38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 - 4*i + 35. Let m(t) = 11*t**3 - t**2 + 9*t - 69. Let q(c) = 4*m(c) + 9*r(c). What are the prime factors of q(0)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3474*h**3 + 1470*h**3 - 6560*h**3 - 2272*h**3.\nAnswer: -10836*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32152405*a*c + 57732969*c wrt a.\nAnswer: -32152405*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + -0.15. Let i = -4388 + 21923\/5. What is the nearest to r in 2, i, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g*n**2*y - 4635264*g*n**2 + 187836*g*n*y + 678*g*y wrt n?\nAnswer: 14*g*y - 9270528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 3*n - 5. Let o be y(-4). Let z = -1 + -1. Let l = -354 - -354.6. Which is the nearest to o? (a) -0.1 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -396 - -456. Suppose -l*y = -53*y + 102340000. What is y rounded to the nearest one hundred thousand?\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 10*a. Let i(n) = 4*n**2 + 3. Let d(r) = -6*r**2 - r - 5. Let s(l) = -3*d(l) - 5*i(l). Give -3*c(t) + 10*s(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -5545*h**4\/24 + 12383*h**3\/6 + 8651*h**2. What is the first derivative of l(m) wrt m?\nAnswer: -5545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + n + 6*n + 1 + 3*n. Let q(c) = 6*c. Let x(i) = -2*g(i) + 3*q(i). Let t = -2 + 4. Calculate x(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 1308?\nAnswer: 130a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktntoovoktksvskv. What is prob of picking 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-385)\/240 + 4 - (-2)\/6 and -37\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 765 + -726. What is the remainder when 502 is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -661832*z**4 - 16152*z + 14?\nAnswer: -7941984*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -0.5. Let o = -1 + w. Let z(r) = -r**3 + 177*r**2 - 14*r - 28511. Let g be z(176). Sort o, 0, g in decreasing order.\nAnswer: g, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**4*y)\/y)**(-10\/13)\/((y\/(y*y*(y**(-11)\/y)\/y*y))\/(y**(3\/7)*y)))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -488476 greater than or equal to -488476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1652*i**2 - 214*i**2 - 1655*i**2 - 6*i**3 + 3521*i**2.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 - 68*j**3 + 64*j**2 + 68*j - 66 = 0.\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20508 is divided by 133.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29428621531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sossrorwwrwrord. What is prob of sequence ws?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 9*i - 8. Let x be h(5). Find the common denominator of 29\/2 and (6 + (-984)\/x)\/((-1)\/(-87)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2016.953ml?\nAnswer: 2.016953","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 275*z**4\/6 + 22*z**2 + 1314*z - 2. Differentiate u(f) with respect to f.\nAnswer: 1100*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78347 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*25\/(-20))\/(555\/(-3996)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5424254 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - 25. Let v = t - -156. What is the highest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -475250 or -475253?\nAnswer: -475253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001917927 rounded to 7 dps?\nAnswer: -0.0000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 554. Let b(g) = 242*g**2 - 3*g - 8. Calculate b(w(u)).\nAnswer: 242*u**2 + 268139*u + 74275326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d**2 - 2*d + 36. Give b(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6373.588877 to the nearest ten.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043366386 to the power of 1\/2, to the nearest integer?\nAnswer: 45204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 578.752 microseconds?\nAnswer: 0.000578752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**4)\/b)\/(b**(-2)\/b)*(b*b*(b**6*b*b)\/b*b*b)\/b**(-7) assuming b is positive.\nAnswer: b**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393081, -786162, -1179243, -1572324, -1965405, -2358486?\nAnswer: -2751567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14 + (-2740)\/24)*-12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -4\/97 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 152 = 3*v - s, 157 = 3*v + 5*s. What is the smallest common multiple of v and 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 4*n = -24*b + 24, 2*b = -2*n - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6372, 6370, 6368?\n\"Answer: -2*o + 6374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/2)\/((770\/(-44))\/(-35))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c**2 + 345*c + 345. Let g be k(-1). Let x(m) = m**3 + 9*m**2 + 11*m + 11. Give x(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5389275 divided by 543\nAnswer: 9925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/120 + w**4\/24 - 20*w**3\/3 - w**2 + 2. Let o(r) be the first derivative of q(r). Let p = 9 + -13. Determine o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 329, 1188, 2879, 5684, 9885, 15764?\n\"Answer: 47*s**3 - 7*s**2 + s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1621, -3524, -6707, -11182, -16961, -24056?\n\"Answer: -2*w**3 - 628*w**2 - 5*w - 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((12\/(-30))\/(6 + (-14)\/5)). Solve 0 = m*c - 818 + 802 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8726*p - 17453. Calculate i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, 0.2, 0.3 in increasing order.\nAnswer: -2, -0.2, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 475244272 and -977.\nAnswer: 475243295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fshs when four letters picked without replacement from {s: 2, h: 1, v: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 76256 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1302\/112)\/(-31) + 10\/(-16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 39. Calculate the common denominator of (-2)\/5 - (-236)\/240 and (-18)\/z - (-3)\/(54\/417).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 884\/(-39)) + (-8)\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2299*u + 6 - 7 + 9 + 2215*u + 3.\nAnswer: -84*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/126 + 10\/(-15). Which is the fourth biggest value? (a) 0.5 (b) 4 (c) k (d) -13\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 27877525\nAnswer: 6\/27877525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 6 + 26. Calculate the smallest common multiple of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2\/7 + 1552*z - 32601\/7 = 0.\nAnswer: -10867, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -842 - -10?\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 14. Let w be 2\/r + 100\/(-15). Let j(g) = -g**3 - 7*g**2 - 6*g + 1. Give j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -560, -840?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 33*z - 1504. What is the lowest common multiple of u(72) and 240?\nAnswer: 26160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 2823*b. Let i(k) = -2*k. Give u(i(g)).\nAnswer: 8*g**2 - 5646*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2554?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/10, -87, 44, 1\/5, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 26*q**2 - 3*q**3 - q**3 + 32*q**2 - 61*q**2.\nAnswer: -7*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**7*((q*(q\/q**(-8)*q)\/q*q*q)\/q)\/q*(q\/((q\/(q*(q*q**(2\/5))\/q))\/q*q))**(-1\/69) assuming q is positive.\nAnswer: q**(6203\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*t = 1114, 3*t + 2*t = -4*l + 4498. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 + -0.9. What is the nearest to q in 2, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 3. Let o be p(0). Suppose 4*a = o*a + 22. What is the second derivative of 3*i - 4*i - a*i**4 + 24*i**4 wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 1, j: 4}. What is prob of sequence rjn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -416d (base 16) in base 6?\nAnswer: -205313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 340547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f + 68. Let i be v(-21). Suppose 2*t = -3*z + i, -4*z = -5*t + 3*t - 16. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, d: 1, m: 1, i: 2, z: 1}. Give prob of picking 1 p, 1 i, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2775*z - 52707. Give y(19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxfgfufwuuf. Give prob of picking 1 x and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 + -40. Is (-72)\/z*(-120)\/9 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -3 + -4 + 3 - -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 648.7.\nAnswer: 2594.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = 61*t - 59*t. Let y = t - 226. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = 15. Suppose -5 = x*k, -3*s + s - 16 = -4*k. Is 18 a factor of (-4)\/s + (-1284)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65339939.\nAnswer: 7, 9334277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 9.9, -5, -2, 0.1112?\nAnswer: 0.1112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - (-6)\/(-3))*21. Let z = -60 + u. Let j = z + -16. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 27 = -3*n, 2*y = 2*n + 7*y - 18. Let g = 14 - 10. Let o = n - g. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**1))**(-22)*v*v**(-3)*v*v**(-7)\/v*v**(-3)\/v**(-3)*(v**(1\/3))**(-13) assuming v is positive.\nAnswer: v**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u*(u*u**9*u)\/u)\/u))\/(u*u*u**(-4\/9)))**(-33)*(u\/u**(-2\/3))**(-1\/34)\/(u*u\/(u*u**(-5))*u*u\/(u*u\/u**5)*u) assuming u is positive.\nAnswer: u**(37667\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 4 = -14*v, 2*c = -5*v + 12037. Suppose 87*r - c = 79*r. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.482818ng in kilograms?\nAnswer: 0.000000000002482818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - f**2 + 5*f**2 + (-81 + 1 + 11)*(f + 4*f + 3*f + 2*f**2) to g*f + d*f**2 + l and give g.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411798.8 months in millennia?\nAnswer: 117.6499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 60220 (c) 1\/2 (d) -3 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 56 + 7*l)*(1 - 1 + l**2) + (l + 3*l - 3*l)*(3*l**2 + 0*l**2 - 4*l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344 divided by -1?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 60597.53 micrograms?\nAnswer: 60.59753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 20. Let y be r(0). Let i be y\/(-15)*(0 + 42\/4). Is (-3)\/((-63)\/(-6)) - 6262\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 3444.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124.321 + -124. Let j = -0.34 + l. Round j to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -2*k**6\/3 - 23*k**3\/3 - 16. Find the third derivative of a(p) wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10387635.\nAnswer: 3, 5, 31, 89, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 5*k**2)*(3*k**2 - 5*k**2 + 0*k**2) + k**4 - 3*k**4 + 3*k**4.\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -13508.\nAnswer: 94556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m - 117. Let c be w(8). Let p = -0.05 - -2.05. Sort c, p, 0.2.\nAnswer: 0.2, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.792 (b) 0 (c) -4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/3 - 12152*v\/3 - 6143680 = 0 for v.\nAnswer: -3156, -2920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 27 - 11 = 4*o, -3*o + 5*i + 25 = 0. Suppose 4*b + 19 = 5*a + 95, -4*b - 2*a = -104. Suppose -o*l + 3*l = -b. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1083*k**3 - k + 1. Let t be m(1). Suppose -39*p + 620 = -19*p. What is the remainder when (-2)\/8 + t\/12 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119187 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4665, 4657, 4649, 4641?\nAnswer: 4633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 1. Let r(i) = 4*i - 2 - i - 2*i - 4*i. Let o(l) = -3*n(l) + 2*r(l). What is the derivative of o(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 3524?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*u = -1304 - 211, -1495 = -3*w - u. List the prime factors of -56*(2\/(-6) - w\/48).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 32*h**2 - 221*h - 93. Calculate t(-23).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -1 (c) -348 (d) -2\/3 (e) -0.03 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 minutes before 11:19 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2277*t = -380*t + 23651 - 79448 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005154030857 to 5 decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 11*p - 11. Suppose -26*m - 54 = 258. What is h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/17 or -8756?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10421 - (38\/19)\/(5\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1 - (16\/(-8) - 2). Suppose t*u - 52 = 4*l, 3*u + 5*l - 3 + 4 = 0. Solve r - u = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 72 in increasing order.\nAnswer: -5, -2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184 + 1658\/9. Suppose 4*q = 6*q - 4. Suppose -25*a + 30*a = 25. What is the smallest value in q, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 12) to base 8.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12 + 22)\/((2 - -4)\/3). Suppose -125 = o*d - 10*d. Solve -2*z + d = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2*4\/5. Let r(v) = v**2 + 5 + 0*v**2 + 4*v**y. Let g be r(4). What is g rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93192, 93777, 94362, 94947, 95532?\nAnswer: 96117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-6) + 3840\/380\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**2 - 480*u + 9605 = 0.\nAnswer: -113, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/3)\/u*u)\/u*u\/(u*u*u**(7\/2))*(u**2\/u)**18 assuming u is positive.\nAnswer: u**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.4 or -40.1181?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(128)*-1)**2 + 5 - (sqrt(128)*2 + -3)*1)*-2*2.\nAnswer: -4640 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 2:17 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -236, -240, -246, -254, -264, -276?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 412 - 431032040?\nAnswer: -431031123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 0*r + 0*r)*(-242*r - 210*r + 381*r).\nAnswer: 284*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from kkpkkzzkkzzpz.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2 - 215*b + 1521. Calculate i(7).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnoonnonononnn.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 8*c**2 - 2*c**2)*(16*c - 15*c - 24*c) + (2*c - 2*c - c)*(-3*c**2 + c**2 + 0*c**2).\nAnswer: -159*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12031210300 (base 4) to base 16.\nAnswer: 18d930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356182337557161*a**2 - 220958286*a + 9 = 0. What is a?\nAnswer: 3\/36826381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 433.7 to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 7580?\nAnswer: 30320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4928 and 4928?\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + -1*(sqrt(125) - (sqrt(125) + -1)) - (sqrt(125) + -1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -1 + 2*h + 1\/4*h**4 + 5\/2*h**2 + 2*h**3. Is 7 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from vpvpppppwpvwpgpmwpw?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-90)\/(-42))\/5)\/(1\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024656397 rounded to 5 dps?\nAnswer: -0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (5 - (2 + 5) - -13) - 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756266331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661244 (base 7) in base 8?\nAnswer: 2171115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0*3\/(-9))\/(-1). Suppose 3*y + 2*c - 18 = l, -2*y + 2*c = -y - 6. Let m be (3\/y)\/((-10)\/16). What is the third smallest value in 1\/5, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-30)*3\/((-7)\/7)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 113*s - 208. Give d(-9).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*u - 113, -4*g + 2*g = -5*u - 69. Suppose -c = c + h - 9, 0 = -c + 5*h - 12. Let s = g - c. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r + r**2 - 2*r**2 + 24*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 + 11*x + 3. Is 4 a factor of r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121234161 to the power of 1\/2, to the nearest integer?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*t - 464 = 0, 0 = -5*z - 2*t - 1368 - 952. Let w be 164\/205 + 1\/((-170)\/z). Which is smaller: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*i - 496*i + 5*c - 33 = 0, i - 4*c = 16 - 55 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -33. Let l = 5 + j. Solve 3*a - i = -16, a = 4*a + 5*i + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, 2\/7, 1 in ascending order.\nAnswer: -13, -4, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400 (base 7) to base 2.\nAnswer: 11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:41 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735159853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.62 + -1.69. Which is the second smallest value? (a) w (b) 2 (c) 5 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 11. Suppose -5*h - y = -2. Does 6 divide (8*h)\/(4\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) - ((-228)\/20 + 6). Solve i = -t - 2*f, -t + 5*f + 10 = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*y - 4 = 4*q, 0 = -3*y - 12. Which is the fifth biggest value? (a) 34\/9 (b) 8 (c) -5\/4 (d) 0 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137246 divided by 8?\nAnswer: -68623\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -74.\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*k**4 + 55*k**2 - 5974 with respect to k.\nAnswer: 56*k**3 + 110*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose -2*t - h + 16 = 0. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6136 and 48964.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.05, -2683.5985, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 60\/30*(-2)\/12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from eyqqyemyemeqqyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-2 - sqrt(88))*5 - sqrt(88))\/(sqrt(8) + -4*((sqrt(8) - sqrt(24)\/sqrt(3)) + sqrt(8))).\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*d + 20, -2*b = b - 2*d + 12. Let l be (b - -8)*(0 + -1). Let y(k) be the second derivative of -k**3\/6 + 2*k**2 - 5*k. Give y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 18 + ((-6)\/(-9))\/(4\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:12 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = -6. Suppose 3*l - 28 = -2*h, -3*l + 27 + 16 = 5*h. Solve -i*d = -l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1562, -1633, -1748, -1913, -2134, -2417?\nAnswer: -2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 279139\/3 + (-16)\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 5*n, 0 = -n - 6*f + 3*f - 3. Solve -c = n*d - 7, -4*d - 3 = 3*c - d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 14. Let v be u(5). Is ((-1 - 179)\/2)\/(v\/8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -762 + 767. Let w(a) = -7*a**2 - 3*a + 3. Let y(m) = 11*m**2 + 5*m - 5. Let l(v) = n*w(v) + 3*y(v). Let j(f) = 13*f**2 - 3*f. Determine j(l(d)).\nAnswer: 52*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*k**4*s**2 + 34*k**4 + k**3 + 21*k**2*s**2 - k**2*s - k*s - 10*s wrt k?\nAnswer: 312*k*s**2 + 816*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154010852141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(19) - sqrt(304)) + (-3 + sqrt(76)\/sqrt(4))**2 + -3 - (-1*sqrt(76)*5*2)**2) + 2.\nAnswer: -7573 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1300\/(-225))\/(368\/(-48) + 5 - (-3 + 1)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49, 115, 227, 385, 589, 839, 1135?\n\"Answer: 23*g**2 - 3*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104523070 - 11?\nAnswer: -104523101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s + 36. Let t(y) = -10*y + 38. Let d(z) = -6*r(z) + 5*t(z). Let o be d(7). Suppose 4*i = -6 - 6, f - 3*i = 12. Solve o*u - 1 = -f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.006 + -0.206. Is 0.8 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -33.5. Let z = -41\/12 - -35\/12. Suppose 3*h - 3 = 0, 0 = -0*q - 3*q + h + 2. Which is the nearest to q? (a) f (b) 6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:25 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**4\/2 - 2*p**3\/3 + 2*p**2 - p - 1. Let f be r(3). Let n = -37 - f. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbvvbhhhvwqbhhqbw. What is prob of picking 3 b?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhr when three letters picked without replacement from {n: 4, a: 1, h: 3, o: 1, d: 4, r: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 37*o**2 + 40*o - 248. What are the prime factors of x(40)?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096566?\nAnswer: 2, 3, 19, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2 - 6*y - 3. Let s be n(7). Solve s*v + 2*d = -16, -2*v + 3*d = d - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 31 + 82. Let b = o - -202. What are the prime factors of b?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 659.74624 to 0 dps.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -2*t - 256. Suppose 15 = 183*f - t*f. Solve 0 = -6*l + f + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 7. Let h(x) be the second derivative of 5*x**3\/6 - 17*x**2 + 6*x + 141. Determine -2*h(p) - 11*n(p).\nAnswer: p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1460972, -1460970, -1460968, -1460966, -1460964?\n\"Answer: 2*s - 1460974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -0.4 (c) 22\/7 (d) -19\/59574 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.36 - -0.3599958. Round c to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from cttttttrt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33658 - 33650 - 10*g**3 + 67308 - 27*g**3.\nAnswer: -37*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5344? (a) -1.1 (b) -3 (c) -2 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4846, -9715, -14584, -19453, -24322?\nAnswer: -29191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 419796\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(5808)\/sqrt(12)) - ((sqrt(95)\/(2*sqrt(5) + sqrt(5)))**2 + 3).\nAnswer: -46\/9 + sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 2*d**2 - 10*d**2)*(2 + 3*d - 2 - 2*d + 3 - 3 + 2*d + d - d - 1 + 1 - 2*d + (-4*d + 5*d - 3*d)*(0 + 5 - 3)).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiillleqil. What is prob of picking 2 i and 1 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 6. Let a be l(5). Let o = -10 + a. Solve -5*s - o*c = -11, 4*s - 3*c + 7*c - 12 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 1394.\nAnswer: 11152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 466466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.240801 and 4?\nAnswer: -92.963204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/449 + -15699\/3592. Let t = 951\/164 + 80\/41. Calculate the common denominator of t and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 1:03 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - (-12)\/(-30). Let y(s) = h*s - 7 + s + 2*s. What are the prime factors of y(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjwwwjjryjfwfjlrrjf. Give prob of sequence lj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 2*o**2)*(1 - 1 - o**2) - 91*o**3 + 91*o**3 + 184*o**4 + 184*o**4.\nAnswer: 366*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75822 - 4*r + 0*r - 75822.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -282 in 1443, 1\/5, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 815\/19 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 22687*j**3 + 10*j**2 - 23*j - 10. Let k be i(5). What is k rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18096 or -18105?\nAnswer: -18105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tzsussi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 77, -2\/935, -1.84, -2\/19, -4?\nAnswer: -2\/935","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 453451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/19 - (-20)\/190?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 25*u**2 + 101*u + 80. Let v be g(-3). Let s be (-6)\/(-2) + -1 + 1. Sort v, 4, -4, s in increasing order.\nAnswer: -4, v, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (4 - 13)\/(5\/(-5)). What is the nearest to -2\/3 in 1, a, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6363050 (base 7) in base 13?\nAnswer: -2103a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/(-15*12\/(-46572120)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0 + 1\/28*x**8 + 0*x**6 + 0*x**5 + 0*x**7 + 3*x + 0*x**3 + 1\/12*x**4 + 0*x**2. Find the third derivative of c(h) wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y + 552 + 156. What is the remainder when y is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1309 and -80 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38\/3 (b) -9 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 181448, -3, 0.5, -1\/7, 0.17?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4271 + 4263. Sort n, 1\/5, 0.4, -2\/63.\nAnswer: n, -2\/63, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 71146456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 553653474 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11314042 (base 7) in base 10?\nAnswer: -995416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 10212, -0.0914, 0.\nAnswer: -0.0914, 0, 1\/5, 10212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3467045 or 3467046?\nAnswer: 3467045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -11 + -10 - 16 - (-84 - (2 + -3))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/(-35))\/(24\/(-15) + 2). Let l be 2\/2*-2 + 21. Solve f*v + 2*p = l, 5*v - 16 = -p + 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + 2*u - 2*u)*(-6*u - u + 5*u) + 2*u - 2*u + 2*u**2)*(2*u**2 - 2*u**2 - u**2).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3103442130 + 5?\nAnswer: 3103442135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 + 2 + 0 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.222 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f)**(2\/29)\/(f**10*f**(-44)))**28 assuming f is positive.\nAnswer: f**(27216\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyvu. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 15*f**2 + 648*f - 698. Let n(k) = 52*k**2 + 2268*k - 2440. Let h(x) = 7*n(x) - 24*v(x). Suppose h(t) = 0. What is t?\nAnswer: -82, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 44 = 4*n, n + 2*d + 3*d = 2. Let z(i) = -i + 95. Calculate the remainder when z(0) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - 6) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 2, -1, 29.\nAnswer: -5, -2, -1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300200 (base 5) in base 4?\nAnswer: -21323203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + 3 - 17*l + 19*l - 3 + 3*l**2 to the form s*l**2 + d*l**3 + r*l**4 + u + i*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 54\/((-108)\/6)*15\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 509193996 and 23256.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 + -22.4. Let v = w - -20. Let p be ((-6)\/30)\/(1 - 0). Sort p, -1, v in decreasing order.\nAnswer: v, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14))\/sqrt(2) + 2.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3285 - -3327. What is the lowest common multiple of 960 and a?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.0217718665 + 0.0282119935. Let b = 18.05 - r. What is b rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = i + 11, 2*m - 35 = -6*i + 3*i. Suppose -2*r - 45 = -5*r. Calculate the remainder when r is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10219196 and 786092.\nAnswer: 10219196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 93 - 12*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -117*o**3 + 2*o**2 + o. Let f be 12\/7 - 6\/(-21). Let m be w(f). Let r = 13015\/14 + m. Find the common denominator of r and -143\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2353 - 2343. Solve 4 = d - a, -2*d - a + 4*a + b = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/3031 and -67\/11258.\nAnswer: 78806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + v - 68, 4*s = -5*v - 37. Let u(m) = -2*m - 15. Let y be u(s). Let t(h) = 2*h**2 - 14*h - 13. What is the units digit of t(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 2 - 2)*(6*g - 5*g + 22*g - g + g - g + (-2 + 1 + 3)*(5*g - 6*g + 2*g)).\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 23. Suppose 0 = -2*k - 70 - 44. Let z = d - k. What is the remainder when z is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8575809.1 rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:41 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*g**2 + 340*g**2 - 3*g + 4*g.\nAnswer: 230*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(250) - sqrt(425)*4 - (1 + sqrt(17) + -2)*4)*-1*-4.\nAnswer: -476*sqrt(17)\/5 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*c = -4*c, 1140 = 2*w + c. What is the smallest common multiple of w and 2?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13905443009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, k: 1, y: 5, q: 1, u: 3}. Give prob of picking 1 y and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.146, 0.477?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 17. Suppose -o*r = -22*r - 489. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -1. Suppose 0*m - 2*m + k = 0. Suppose o - m*i = 10, -3*o + 4 = -4*o - 2*i. Solve o*g + 4*g = -20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20415187*r**3 + 74270*r**2 - 688*r wrt r?\nAnswer: 122491122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*b + 2*a, -19*b + 4*a - 45 = -22*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 753 - 755. Put 4, -0.6, 1\/2, -5, q in increasing order.\nAnswer: -5, q, -0.6, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 25. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -3 + (-1 - -1). Let q be 6*(l + 12\/9). Solve q*u - 2 = 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 1, h: 1, d: 2, j: 2}. Give prob of picking 1 h and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = -o - 4, 2*t = -o + 1. What is the third derivative of -19353*x - 66*x**3 - 1 + 19353*x + 12*x**t wrt x?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -5708698 in descending order.\nAnswer: 14, -3, -5708698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.169968 + 0.17. Round u to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p**3 - 37*p**2 - 13. Let j(c) = 10*c**3 - 19*c**2 - 7. Let s(q) = -7*j(q) + 4*o(q). What is the first derivative of s(n) wrt n?\nAnswer: -6*n**2 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3534*o**3 - 12*o**2 - 39*o + 64. Is k(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 0.7, 0.06, -21, 0.3, -54 in increasing order.\nAnswer: -54, -21, 0.06, 2\/25, 0.3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 327.16 - 328. Let b = 1.54 + a. Sort b, -1\/4, -0.2 in decreasing order.\nAnswer: b, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*6\/(-30)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -468 + 468. Suppose -5 = -0*d + d. Sort -3, d, t.\nAnswer: d, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*c**3*u + 189*c**3 - 3*c**2*u**2 wrt u?\nAnswer: 11*c**3 - 6*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 329928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25527*p**3 + p - p.\nAnswer: 25527*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*b - 14, 0*b + 4*b + 8 = 0. Let t(u) = 4*u + 3. Let p(r) = -11*r - 9. Determine a*p(f) - 17*t(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/(-49))\/(6\/7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 + -186. Let p(d) = -123*d + 123*d - a*d**2 + 2*d**2. Let s(r) = -2*r. Calculate s(p(w)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18942245 and 35105.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682295.\nAnswer: 5, 7, 11, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b - r = 0, -b + r = -8. Let t(n) = -n**2 - 14*n + 4. Let i be t(-14). Suppose -5*g + 4*a = -390, -b*g = -i*a + 71 - 379. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s**3 - 2*s + 1. Suppose 3*x + 2*o = 9, 4*x + 119*o - 118*o - 7 = 0. Determine m(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/6*((-28)\/6 - -4). Sort -5, -1, c, 3.\nAnswer: -5, -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21+3.6\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -900, -3270, -8572, -18264, -33804, -56650, -88260?\n\"Answer: -243*t**3 - 8*t**2 - 645*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n + 44. Let k be 6\/(-396)*-32 + 4\/n. Let w be (2 - 0) + (-9)\/5. Which is the closest to k? (a) -1\/7 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftbb when four letters picked without replacement from {b: 2, e: 3, g: 4, f: 1, t: 1}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/5, 7\/2, 5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utttttutttttuttuut. Give prob of picking 2 t.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 0.8, -4\/9, 39738, 1\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6508 + 1.650813156. What is a rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z - 2*z)*(3*z**3 - 4*z**3 - z**3) + 10*z**4 + 66*z - 66*z + z**4 - 3*z**4 + z**4 - z**4 + 3*z**4 - 3*z**4.\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.15 + 24.2. Put 0.4, z, -3\/7, 3 in increasing order.\nAnswer: -3\/7, z, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 507291 in increasing order.\nAnswer: 2, 4, 507291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29\/(-2)*(8 - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgsz when four letters picked without replacement from zszgzszzsuuuuh?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8318360 and 288260?\nAnswer: 58228520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1445273*z**2 - 1495187 wrt z.\nAnswer: -2890546*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376174 by 254.\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-5) - (-6 + 3). Let p be n\/((-45)\/44) - (-12 - -7). Factor 2\/9*q**3 + 0 + 0*q**2 - 1\/9*q - p*q**5 + 0*q**4.\nAnswer: -q*(q - 1)**2*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3 = -4*u, -3*b - 4*u = -3*u + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90603.74 decades to years.\nAnswer: 906037.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*326.8945\nAnswer: 1307.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1102 - 1363. Which is greater: -260 or k?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + (20\/(-6) - (-3)\/9). Let q(j) be the second derivative of -2*j**2 + 6*j - 1\/6*j**3 + 1\/12*j**m + 0. Give q(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*o + 122*o - 36 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/59290 and 72\/385?\nAnswer: 59290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189bc (base 14) to base 3.\nAnswer: 10011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/11)*c)\/(c*c*c**(-34)))**(-11\/4) assuming c is positive.\nAnswer: c**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 8 + 5*s - 6*s**2 + 16 as v*s**2 + b*s + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -105*1*2\/(-5). Let u be 120\/b*7\/2. Calculate the highest common divisor of u and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 5*a**2 + 4*a - 8. Let x be u(-6). Suppose -2*y + 140 = g, 4*g = 2*y + 514 - x. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 198, -0.5, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2241.298 centuries?\nAnswer: 22412.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 17*a**2 + 16*a + 11. Let u be p(-16). Let v = u - 9. What are the prime factors of 0*v\/4 - (-4 + -59)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 18\/3875 (b) 3 (c) 3\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m, 2*z - 4 = 4*m. Let b be ((-4)\/(-5))\/(4 - z). What is the nearest to 0.2 in b, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3669, -29335, -98981, -234591, -458149?\nAnswer: -791639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14802, -59583, -134298, -238947, -373530?\nAnswer: -538047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162118419 to the nearest integer?\nAnswer: 12733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 207\/5 (c) -3\/8 (d) -2\/19 (e) -0.3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 335153028 divided by -372\nAnswer: -900949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, m: 11}. What is prob of picking 1 k and 1 m?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -508\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let y = 5 - m. Suppose y*t - 7*t - 16 = 0. Put -1, 0, t in ascending order.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.06 - 436.94. Let p = 510.6 + q. Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 3409533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 80875?\nAnswer: 80875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 101706210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -8. Is b*(-33 + 3 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85.95 - -86. Let y = -593\/5 - -119. What is the smallest value in g, 4, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9928 and 16.77.\nAnswer: -9911.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1\/((-115)\/19 - (7 - 13)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 divided by -141?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 80 + 100 = 4*p, a - 4 = 7*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1107363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6273881\/95 - 66042. Let q = -18\/19 - l. Which is the second biggest value? (a) 11 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 4*u + 1. Suppose 4*n - 5*y - 16 = -3*y, 0 = -5*y. Give z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*o**2 + 1734*o - 197169.\nAnswer: 3*(o - 41)*(25*o + 1603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 9. Let b be f(-8). Suppose b = i + 2*z + 3, 0 = 5*i + 2*z + 2. Let m = 2 + i. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 + 3*q - 3. Let o be b(3). What is the closest to 1\/5 in -1, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 10111101212?\nAnswer: -10111102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1178.3 to the nearest ten.\nAnswer: -1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.3. Let j = -0.4 - -0.3. Which is the closest to j? (a) -2 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10698\/8915*(-195)\/6.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*r, -r = -4*r - 5*n. Let v be (13 - 12)*(r + -11). Let j = v + 16. Calculate the smallest common multiple of 1 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/37)*a*a*a\/(a*a\/a**(-1\/3)))**(3\/38)\/((((((a**(2\/7)*a*a)\/a)\/a)\/a)\/(a*a**0))\/((a*a\/(a**(1\/15)*a))\/(a\/((a*a**1)\/a)))) assuming a is positive.\nAnswer: a**(199004\/73815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42550, -39165, -35780, -32395, -29010, -25625?\nAnswer: -22240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 + 631*k - 317*k + 12*k**2 + 13*k**2 - 314*k - 40*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 698987681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 129953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + 1580. Calculate the remainder when z is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 776072.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.94 - 34. Let r = l - 4.94. Let n be 2\/9 - (-17)\/(-36). Put n, 0, r in ascending order.\nAnswer: r, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -381.1.\nAnswer: 5716.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3503*s**3 - 1673*s - 3501*s**3 + 3153*s)*(3 - 2 - 2).\nAnswer: -2*s**3 - 1480*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -618 + 1086. Let f = -328 + u. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 4726.\nAnswer: 269382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 - 7670.\nAnswer: -7666.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 3*f + 3, 5*u - f = f - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1081 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6121 - 6121 + 30*q**3.\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - (sqrt(9) - (sqrt(9) - (sqrt(9) - ((sqrt(9) - sqrt(576)) + sqrt(9))))))\/sqrt(3)*3)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176060*u**3 + 14622*u wrt u.\nAnswer: 1056360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(-21 + 28 + 7) + 0 + 1 + 3)*(-3*y + 0*y + 6*y).\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -103. Let m = -29 + y. Suppose 4*h - 4*x - 40 = m, 9*x - 7*x - 64 = -5*h. Solve 2*j + 2*j = 4*a - h, -12 = -4*a + 3*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169\/3 + 57. Which is the second biggest value? (a) 5 (b) 2\/15 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**2)\/(c\/(c\/(c*c**(-2\/13)*c))) assuming c is positive.\nAnswer: c**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0 - 1\/20*h**5 + 0*h**6 + 0*h + 5*h**2 + 0*h**4 + 0*h**3 + 0*h**7 + 1\/168*h**8. Find the third derivative of r(f) wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 117\/182*(-574)\/(-12). Let q = 30 - g. Put q, -0.1, 4\/7, -4 in decreasing order.\nAnswer: 4\/7, -0.1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500.132 + -501. What is p rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5560.32ml?\nAnswer: 5.56032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-16))\/(9\/(-6)). Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-5\/3)*k*k*k\/(k**(-3)\/k) assuming k is positive.\nAnswer: k**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Let s = 160 + -157. Solve o + 4*o + 9 = -s*q, r = -2*q - o + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -550868*g**3 - 136. Let i(f) = -12241*f**3 - 3. Determine -136*i(b) + 3*s(b).\nAnswer: 12172*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {m: 1, l: 6, z: 2, k: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*p**2*r**3 + 8596*p**2*r**2 + 18*p**2*r + 5194*r**5 - 2*r wrt r.\nAnswer: 462*p**2 + 311640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d. Let i(j) = -15650*j - 187795. Let c be i(-12). Solve d = -4*n + c*b + 9, -3*n + 3*b = -1 - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -168*f**2 - 1499*f + 210. Calculate m(-9).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + -111.6. Which is the biggest value? (a) n (b) -4 (c) 2\/7 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (107\/7)\/1 - 6\/21. What is the highest common factor of m and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h. Let c(q) be the third derivative of q**4\/4 - 4*q**2. Let a(y) = 4*c(y) - 5*v(y). Let i(x) = -5*x + 2. What is -4*a(n) + i(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 52*i + 6*i)*(177*i - 19 - 175*i - 16).\nAnswer: -102*i**2 + 1785*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2899 + 862 - 1501)*(2*g + g + 0*g) in the form y + q*g and give q.\nAnswer: 6780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 1419.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4536 divided by 1?\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75660732743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(48\/(-75))*4 + 0 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (544\/3 + 130\/195)*2. Solve -357*j = -w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -274*t**3 - 3245*t**2 - 7*t - 14. Let k(u) = 92*u**3 + 1081*u**2 + 2*u + 4. Let g(n) = -7*k(n) - 2*p(n). Find the third derivative of g(m) wrt m.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:29 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 15*a**8\/56 + a**4\/2 - 6*a. Find the third derivative of g(m) wrt m.\nAnswer: 1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*h**4 - 4016184*h**3 + 979373510*h?\nAnswer: 300*h**2 - 24097104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-1 + 39\/48)*2380\/5355).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -30 + 34 + 457\/(-91)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -72284 and 5.\nAnswer: -72279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {b: 4, i: 1, s: 3, h: 10}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 960899, 1921757, 2882591, 3843401, 4804187?\n\"Answer: -12*b**2 + 960894*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000065096 rounded to 6 decimal places?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.84395 milligrams to grams.\nAnswer: 0.08884395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, -0.3, -1\/4, -0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/(-10) - 7) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-15820) + (-20328)\/678?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244\/635 + -2\/127. Let g = 201\/5 - 2623\/65. Which is the closest to 0.1? (a) y (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -180 (b) 0.2 (c) -2\/9 (d) -7 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14100 (base 10) to base 7\nAnswer: 56052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 6, z: 3, s: 4}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1933.4118 months?\nAnswer: 0.16111765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1059214, 8472005, 28592438, 67774333, 132371510, 228737789, 363226990, 542192933?\nAnswer: 771989438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5294083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 186101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/12*8)\/(1\/2). Suppose -9*w - z = -22. Let x(t) = 10*t**3 - 3*t**2 + 3*t**w + 2 - 11*t**3. Calculate x(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-600)*55)\/(195\/(-25) + 8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34806 is divided by 6960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-342)\/(-1386) + 3\/(-7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 1. Let l(s) = -s**3 + 3*s**2 + 2*s + 5. Let b(p) = l(p) - 3*v(p). Let h be b(6). Solve 5*r + h = 39 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27208 or 27207?\nAnswer: 27207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172.7 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2. Let c(g) = 20*g + 10. Let o(z) = -10*z - 6. Let t(l) = 3*c(l) + 5*o(l). Give t(n(j)).\nAnswer: 80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5300509.846 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1793 and 11573?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1964*k + 406*k - 2226*k)*(2*k**2 - 6*k**2 + 2*k**2 + (3 + 3 - 3)*(2*k**2 - 3*k**2 - k**2)).\nAnswer: 30272*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2657 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2164 + 2164 - 4*r + (-1 - 1 + 1)*(r + r - r) - 3*r + 2*r - r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 38*i - 23*i - 48*i + 24*i as d*i**2 + j + h*i and give h.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 32. Suppose d + 4*c - 3 = -0, -q = 4*d - 4*c. Let i(m) = -m**2 + 2*m + 1. What is i(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -8. Let r = -11 - c. Factor 1\/4*o**r + 1\/2*o**3 - 1\/2*o - 1\/4 + 0*o**2.\nAnswer: (o - 1)*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and 2502240.84.\nAnswer: 2502240.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*d + 33, 3*q - 8*q - 3*d + 31 = 0. Suppose -2*m + 6 = -0*m. Let z = 0 + m. Calculate the remainder when q is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1949700494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17446 and 8437?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*r**2 + 58*q**2*x - 2*q*r**2 + 71*r*x**2 + 2*x**2 with respect to r.\nAnswer: -4*q**2*r - 4*q*r + 71*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4755353.\nAnswer: 1231, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - 1 - -13)*-1. Which is the third smallest value? (a) q (b) -0.2 (c) -131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.802760593 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + -6*-1*sqrt(567) + 1 + 1*sqrt(567) + 2))**2.\nAnswer: 250047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**2 + 4\/3*o + 2\/9*o**3 - 4. Factor h(j).\nAnswer: 2*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28371 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/24, 1549, 5, 0.5 in descending order.\nAnswer: 1549, 5, 0.5, 1\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**8\/1680 - z**7\/630 + z**6\/180 + z**5\/30 - 3*z**4\/8 - 3*z**2. Let i(p) be the second derivative of g(p). Factor i(a).\nAnswer: -4*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67 + -1f?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 30600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2208592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2 and -59\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1011011011?\nAnswer: 1011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18439 and 573.\nAnswer: -10565547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 42*w - 70. Let v be c(-40). Solve 5*z = -5*z - v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6259 + 2902*x - 6259)*(-4 + 3 + 2) - x - 4*x + 2*x in the form i*x + n and give i.\nAnswer: 2899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -5*l + 72 - 30 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owyosxxsxswosnxssy. What is prob of sequence xw?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 114130494 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: Suppose -p - 501 = 4*a + 1225, 2*p + 428 = -a. What is the units digit of 2\/(-3) - 18\/(a\/23320)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Suppose 0 = -4*l - 4*s + 16 - 0, p*s = 3*l - 26. Is 14 a factor of 118\/6 + 2\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*s**2 + 2714*s**3 - 884*s**3 - 903*s**3 + s - 910*s**3 to the form c + l*s**3 + f*s + k*s**2 and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1146 (base 7) to base 3\nAnswer: -120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -86*m + 6. What is t(1)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244955169 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -311043?\nAnswer: -311020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -2921?\nAnswer: 5842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptff when four letters picked without replacement from {p: 2, t: 2, q: 2, f: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 8*a**2 - 2*a - 3. Let h be q(-8). Let p = 7 - h. Let y be (2 - (p - -3)) + -2. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let z be r(1). Let h(l) = l - 6. Let g(v) = v + 12. Let n be g(-6). Let a be h(n). Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 76*k + 2658. Let r be l(-26). Let d(v) = v**2 - 12*v + 12. What is d(r)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*h**2 + 792*h**2 - 825537997*h + 825537997*h.\nAnswer: 2047*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, -670?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*w - w - 48 + 312 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6464127 (base 8) in base 6?\nAnswer: -101032131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 - -72. Let s = z + 40. Let y = 2 - s. Solve 2*h + v = 6*h, 0 = h - 3*v - y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/9)\/(10\/45). Suppose q*p - p = 0. Solve p = -0*f - f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47113 is divided by 396.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + o + 939, -m + 227 = -o - 86. Calculate the remainder when 1895 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 - -3) + -4)*-72. Let q be (2\/4)\/(3\/s). Let p be 126\/q + 3\/2. Calculate the greatest common factor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/132348999 and -41\/4452107.\nAnswer: 1455838989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -146181 divided by -59?\nAnswer: 146181\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-23)\/(y\/((y*y*y\/y**(-5\/2))\/y)*y**(-2\/13)*y) assuming y is positive.\nAnswer: y**(-529\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110201201 - -2?\nAnswer: -10110201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 less than 17553095054?\nAnswer: 17553095051.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d. Let a be s(-1). Suppose 5*w + 4 = 4*i, -a*i - 3*w = -0*i - 2. Sort -6, 4, i in increasing order.\nAnswer: -6, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 473 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43239921 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-2)*m**(-5))**(-4\/9) assuming m is positive.\nAnswer: m**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/((-2)\/(-5)). Suppose -t = -4*i + x + 1, 18 = i + 4*t. Let w(s) = 3*s**2 - 3*s**2 + 4*s**i - 3*s**2. Let r(u) = -6*u. Calculate w(r(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2)\/4*2. Let r(v) = v - 1. Let g(f) = 2*f**3 + f**2 - 5*f + 4. Let x(k) = b*g(k) + 3*r(k). Calculate x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 778 divide 31621834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) -2\/3 (c) -0.1 (d) -13\/11 (e) -1.769 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 14b0?\nAnswer: 14a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 4*i = 292, 5*p = 2*i + 102694 - 102817 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 58*f**2 + 2*f**3 + 22*f**2 + 30*f**2 - 32*f**4 to d*f**4 + g + m*f**3 + j*f**2 + o*f and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 7. What is v(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -253 in 4, -228, -6?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 755842128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -23, 4, -1, -1\/20, -0.5, 0.06?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12900\/21500*(-100)\/27.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7685 - -7682. Sort 6, -65, k in decreasing order.\nAnswer: 6, k, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 2324007763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.23 - 1.19. Let w = b + -3.55. Let x = w + -3.4900283. What is x rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -11.\nAnswer: 76\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-62))\/((-1)\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 1480*c**2 - 1480*c**2 + 129*c**3.\nAnswer: 129*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*p + p, 5*a + p - 29 = 0. Let z be 11\/9 + 22\/(-99). Suppose 3*y - 5 = z. Calculate the remainder when a is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2981 - 3597. Which is smaller: z or -3087\/5?\nAnswer: -3087\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r + 248. Let l = 92 + r. Let h(i) = i**2 + 3. Let u be h(3). Calculate the highest common factor of l and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6851523?\nAnswer: 3, 7, 127, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6581318921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + r**2 + 0*r + 0*r)*(17*r - 9*r - 44*r).\nAnswer: -36*r**3 + 72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/3 + 608*t**3\/3 - 19636*t**2 + 1930400*t\/3 - 20161250\/3 = 0 for t.\nAnswer: 25, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48249 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2635, 4493, 1 in descending order.\nAnswer: 4493, 2635, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-9))\/(((-35)\/21)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-8)\/(-1))*7\/(-147)*0. Solve -5*z + u + u = 14, f = z + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11870253*s. Let v be g(4). Let a = -14981013 + v. Suppose y + a = 5*c - 0*y, -c = -4*y - 6499996. Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16466 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 2*g**2 - 7*g**2 + (-3 + 2 + 3)*(3*g**2 + g**2 - 2*g**2) + 2*g**2 - g**2 - 2*g**2 + 2*g**2 + g**2 - 2*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 9 + 23. Let k = -8 - c. Put k, 15, 5 in decreasing order.\nAnswer: 15, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = -75*k + 928 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 8*w - 8*w)*(-5 + 6*w + 5).\nAnswer: -66*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7390 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10*x = 0. What is the common denominator of x\/(-1) + (-1914)\/(-484) and (-2)\/20*33 + -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 6 + 2*c - 2. Let p be x(8). Factor p - 1\/2*v - 1\/2*v**2.\nAnswer: -v*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 5214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 2*f**2 - 2. Let l be g(2). Let o be (l - (-8)\/6)\/2. Which is the second smallest value? (a) 3 (b) o (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -48*d**3 - 4*d - d**3 - 2*d**2 - 3 - 32*d**3. Let s be y(-1). Calculate the highest common divisor of 64 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/2071 + 192623\/20710. What is the common denominator of 55\/4 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.999991 + -48. What is z rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 5*v + 2, -3*s + 165*v - 170*v = -8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/93 and 12\/48515.\nAnswer: 145545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157225, 315244, 473263, 631282, 789301, 947320?\nAnswer: 1105339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*y = 62*y - 10327 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 564263 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgugxgxxgggggxgxg. Give prob of sequence gx.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 9*f + 2 - f**2 - 3 - 19*f + 4 to j + k*f**2 + t*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - 1.2. Let k = 2 - y. What is the nearest to -1 in k, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051242 rounded to 5 dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (10 + 17)) + (74 - 11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 18 - 17)*(w**2 + 4*w - 4*w) - 3*w**2 + 15*w**2 + 3*w**2.\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60.4 - -1269.95. Let y = b - 1213.549936. Let p = 4 + y. Round p to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 11*y + 16. Give b(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214 + -210. Solve 2*u = f - 8, -8*f - 4*u = -l*f + 28 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = 3*u, -3*u - 2*v = -0*v - 37. Suppose -3*m = -0 - u. Solve 15 = -6*c + m*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4576 + 3006. Let x = -3244 - t. What are the prime factors of x\/(-21) + ((-12)\/21)\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 0 = 3*r. Let d(s) = -s - 3. Let j be d(r). Suppose -3*g - 82 = -5*x - 14, -3*g - 3 = j. What is the remainder when 51 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5\/7))\/(m\/(m**(-11)\/m)) assuming m is positive.\nAnswer: m**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -24, 0, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -16383*d**2 + 387*d + 129. Let m(y) = -256*y**2 + 6*y + 2. Determine 129*m(q) - 2*u(q).\nAnswer: -258*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - r - 2. Let k be l(-3). Let j(h) be the second derivative of h**5\/20 + h**4\/2 - 5*h**3\/3 + 43*h**2\/2 - 1064*h. Is j(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -28*x - 61. Let i(l) = 16*l - 1. Determine i(q) - k(q).\nAnswer: 44*q + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -75. Suppose -52 = -d + 3*k, 8*d = 5*d - g*k + 200. What is the greatest common factor of 576 and d?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399759 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: Suppose h - 6 = -2*f + 4, -3*h = 4*f - 20. Let p = 0.1275 + -5.1275. What is the closest to h in p, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012121100002 (base 3) to base 12.\nAnswer: 6a259b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:53 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5011 (base 8) to base 4.\nAnswer: -220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h - 67. Determine s(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7991, 33667, 76969, 137897, 216451, 312631?\n\"Answer: 8813*o**2 - 763*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from siiipippspii.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/7 + 4*c**4\/7 + 4*c**3\/7 - 16*c**2\/7 + 2*c - 4\/7 = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -360163725 and -0.1326.\nAnswer: -360163725.1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 24 - 43)*(-36)\/(-220)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 1 + 1 + 0. Let f(v) = 7*v. Let d(z) = -z. Let j = 21 + -61. Let b(u) = j*d(u) - 5*f(u). Calculate b(l(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 495247, 1980938, 4457069, 7923640, 12380651, 17828102, 24265993?\n\"Answer: 495220*m**2 + 31*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 - w**3)*(1 - 1 + w**2) + 3*w**5 - 2*w**5 + w**5 + (3 - 12 - 6)*(-5*w**3 + 5*w**3 - w**5).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5788909096 a multiple of 11253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-5646.1\nAnswer: -1693.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28883 and 1699.\nAnswer: 28883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10846, -13816, -16786, -19756, -22726, -25696?\nAnswer: -28666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llhhhhlh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5690 by 6.\nAnswer: 2845\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c - 1. Let a(z) = 30*z - 2401. What is a(h(g))?\nAnswer: -90*g - 2431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1855 is divided by 619?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 10) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 + -121. Suppose -4*n + 5*a + 34 + m = 0, -4*a = n - 21. Suppose d + 4*w = 4*d - 29, -d = -4*w - 23. What is the highest common factor of n and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/478 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4306, 3232, 2172, 1132, 118?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 - -6) + -4 - -2) + 0 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q + 7. Let a be i(-7). Suppose 5*y - 62 = -4*v, 0 = 5*y + 5*v - 2 - a. What is the remainder when 29 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.5622cm to micrometers.\nAnswer: 2055622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = 4*t. Let c(w) = -2*w + 2. Let i be c(t). Is 2\/i - 270\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10203 and 26961.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 - 2*i + 2. Let g be x(2). Let d be g\/15 + 16\/(-6). Does 11 divide (d + 3\/(-15))*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 0.1, -11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-456) - (3 - (-131)\/(-30))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*r**2 + 1356*r + 919368 = 0.\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 + 35*p + (4*p + 0*p - 3*p)*(2 + 1 - 2) + 0*p + p - 3*p)*(-16*p**3 - 6*p + 6*p).\nAnswer: -544*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**2 - 24838*s - 123994. Give j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/2 - 9*o**2\/2 - o + 24 = 0?\nAnswer: -8, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 41, 48, 59, 74, 93?\n\"Answer: 2*u**2 + u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 7:11 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 275586.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Solve -4*m - 4 = 0, -2*c + 3*c + 2 = -j*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 362281 divided by -83\nAnswer: -362281\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 664 = -5*l, 396 = 4*l - l + 3*t. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118235 and 156755.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -9*g + 136. Suppose -4*h - 3 = -g. Solve f = -h*m + 8, m - 2 = f + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 132*b**3 - 11*b**2 - 1488. Let a(p) = 27*p**3 - 2*p**2 - 299. What is 11*a(u) - 2*l(u)?\nAnswer: 33*u**3 - 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -42*m**2 - 934*m - 6155. Calculate l(-8).\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2 + 2945*n - 20860 = 0. What is n?\nAnswer: -596, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 4*i**2 - 6*i - 6. Let n be m(-3). Solve 0*w - n*v = -3*w - 9, -4*v + 9 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 3*m**2 + 28*m - 12. Let l be u(-9). Suppose -l*c - 160 = -230*c. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 15095 + 15098 - 30193 - 8*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256297 is divided by 17448?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**3 + 6745*n**2 + 13505*n + 6755 = 0.\nAnswer: -1, 1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.5 - 11.5. Sort -1\/6, 5, -3, f in descending order.\nAnswer: 5, -1\/6, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 15*x**2 + x - 20. Let j be m(15). What is the remainder when 28 is divided by (0 + 3*j)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*45*(3\/20)\/(45\/(-3360)*-28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -28.5. Let d = 25 - f. Sort -0.1, d, -0.3 in increasing order.\nAnswer: d, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f + 1740 = -91*f - 1260 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 3. Calculate the smallest common multiple of w(-3) and 18\/(-2 + 4) - -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 32. Let j be (-2200)\/(-2*b\/(-8000)). What is j rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70889?\nAnswer: 7, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000096512 to six decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.2522195*0.3.\nAnswer: -2.47566585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16626421 + -3?\nAnswer: 16626415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v - 2*v**2 - 14*v)*(2 + 0 + 1)*(6*v + 76*v - 3*v).\nAnswer: -474*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(66) + sqrt(66))*6 - 2*sqrt(66)*-2)*5)\/((-1*(sqrt(864) + (sqrt(864)*-1 - sqrt(864)) + sqrt(864)) - sqrt(864))*4))**2.\nAnswer: 33275\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:43 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-2 + sqrt(405) - sqrt(405)) + 0)*-6)**2 + ((sqrt(405) - (2 + sqrt(405) - sqrt(405))*6 - sqrt(405)) + 3)**2 + -3.\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.5, 0, 0.1, -0.1662?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**6*t**2 + 44*o**3*t**2 + 3*o**2*t + 13*o*t**2 - 12*t wrt o?\nAnswer: -360*o**3*t**2 + 264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydy when three letters picked without replacement from {d: 1, y: 2, u: 1, x: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/38640 and 47\/66.\nAnswer: 425040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-85)*(135\/(-9))\/3. What is the biggest value in f, -8, -0.4, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 3 in decreasing order.\nAnswer: 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:15 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(-14 + -3 + -3) is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (-18 + -30 + 44) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1484908 (base 14) to base 6.\nAnswer: -554204300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65326, -130786, -196246, -261706, -327166, -392626?\n\"Answer: -65460*r + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (48\/176)\/(6\/418)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431796318?\nAnswer: 2, 31, 107, 215827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75\/2 of a milligram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 379793521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 4*o**2 - 4*o - 9. Is 18 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**2\/2 - 2*n + 1. Let g be s(4). Let k(c) = c**2 + 3*c + 6. Let z be k(-4). What is the greatest common factor of g and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/12 - 5*b**3\/6 - 3*b**2\/2 - 82*b. Let l be y(-1). What is the third smallest value in 0, l, 5.9?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2240 + 2615. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300209183 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -5, -3130, 31 in increasing order.\nAnswer: -3130, -5, 1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.238 (b) -1\/2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*l + 21*l = -4802 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/(-30)*9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -63207.738 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbssbbbsbsbbb. What is prob of picking 3 s?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27666 - -27975. What is the remainder when b is divided by 254?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-43)*y*(y\/((y\/(y*y*y\/(y\/((y*y**(-3\/2)*y)\/y))*y))\/y))\/y*y**(-3\/29)\/(y**(-6\/5)\/y))**(-19) assuming y is positive.\nAnswer: y**(206093\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 57*i - 151. Let p(k) = -59*k + 149. Let n(h) = 6*p(h) + 7*r(h). Let c be n(10). What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -1515e7?\nAnswer: 151604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 392139396*q**3 + 2*q + 4388250 wrt q.\nAnswer: 2352836376*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 268399871 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 711 and 54194.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 1. Let v(j) = -4*j**3 - 30*j**2 + 7*j - 18. Let a(c) = -5*d(c) - v(c). What are the prime factors of a(4)?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13609 or -10042?\nAnswer: -10042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 488121497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = -x, -2*x = -0*i + i + 7. Let z(o) = -o**3 - 3*o**2 + 8*o - 6. Let q be z(x). Solve q*a - 9 = -m, -5*m - a = -4*a + 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10973 = 26*g + 3225. Let j be 15\/498*g + -9. Let o = 4 + -3. Is j less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 119 + 125 = 0. Let h(c) = c**2 - 7*c - 2. Let w be h(5). What is the common denominator of 28\/11 and 219\/w + -2 + b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -127?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/24372051 and -70\/213?\nAnswer: 1730415621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 - -173.05. Let x = q - 1.95. Which is the nearest to 0.1? (a) 0 (b) x (c) 0.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58866 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 12. Let n be q(-16). Let y be (-286)\/78*(-5*3 + -3). What is the greatest common factor of n and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + o**2)*(-1 + 4 - 1) + 68*o**2 - 7*o + 16*o - 7*o.\nAnswer: 70*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:23 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.082 - -0.9679. Let t = -0.0141 - d. What is the nearest to t in 1\/5, -0.3, -3\/2, 13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, s: 7, k: 3, d: 3}. Give prob of picking 1 k and 1 r.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 261592 + 8*g - 261592. Let l(o) = -28*o**2 + 3*o. Determine l(t(f)).\nAnswer: -2800*f**2 + 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4176 = w - 187*w + 12*w for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 360.2 - 360. Which is the nearest to v? (a) 2 (b) -1\/2 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078 = 88*w + 36*w + 210 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((27\/(-135))\/(2\/(-15))))\/((-20)\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m - 23. What is t(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90578 - 54364 = 1311*c - 710*c + 2850*c for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11. What is the common denominator of (p - 1)*259\/49 and -29\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 2, e: 4, l: 1, m: 1}. What is prob of sequence glm?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 151 and -177 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1134*g**4 + 745*g**2 wrt g.\nAnswer: 27216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 72\nAnswer: 47\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/44754 and -25\/62968878.\nAnswer: 62968878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7098341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 404041134 - -115?\nAnswer: 404041253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3567.622 millennia in months?\nAnswer: 42811464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 3. Suppose 4*z = -3*w + 27, 5*z = -3*w + 15 + 18. Determine f(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -4, -1, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414.5519 kilometers in centimeters?\nAnswer: 41455190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**9\/15120 + m**7\/504 - m**4\/2 - 4*m. Let s(w) be the third derivative of p(w). What is the third derivative of s(q) wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x. Let f(l) = 27*l**2 - 4*l + 4*l + 5*l**2 - 3*l**2. Give y(f(w)).\nAnswer: 203*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, u: 6, p: 4}. What is prob of sequence up?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 55, 80, 105?\n\"Answer: 25*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from rrvrrnrrrvvvvzrvvr.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 3*l - 629 = 0, -4*c - 508 = -4*l. What is the common denominator of 17\/36 and ((-1)\/3)\/(156\/c - -1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518270.\nAnswer: 2, 5, 51827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + j - 3*j)*(-4*j**3 + j**3 + 4*j**3 + (5*j - 5*j + 4*j)*(5*j**2 + 2*j**2 - 4*j**2)) - 4*j**4 + 9*j**4 - 1 - 2*j**4.\nAnswer: 42*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 - 177. What are the prime factors of 2*z\/(-8)*(108 - 58)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 19075?\nAnswer: -11445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:06 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 3*w**2 - 4*w**2 + (2 - 2 - 2*w)*(-12*w + 6*w - 6*w) + 2*w**2 - 2*w + 2*w - 3*w**2 - w**2 + 2*w**2 + (2*w - 2*w + w)*(-2*w + 5 - 5).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 6*j - 27. What is x(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5908*x = -5913*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:25 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -1. Let i = 91 + -93. Let z be i\/11 + 0\/19. Put z, 0.02, u in decreasing order.\nAnswer: 0.02, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 887, -3, 5208 in increasing order.\nAnswer: -3, 887, 5208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 105314391 a multiple of 2457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3*i - 15 + 2 + 0*i. Let t be o(8). Let v = -0.7 + 0.4. Which is the third biggest value? (a) t (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3140485 (base 9) to base 5\nAnswer: -412230032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 2 - 4*h**3 + 4*h**3 + (4533*h**2 + 7951*h**2 - 4451*h**2)*(2*h - h + 0*h) as i*h**2 + s*h + a + o*h**3 and give o.\nAnswer: 8031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044 = 5*i + 9. Suppose -5*j = 2*o + 630, -2*j - i - 69 = -4*o. Let d be (j\/(-14))\/4 + (-2 - 0). Which is the nearest to d? (a) 1\/4 (b) 3\/4 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v + 4*v)*(-v - 169 - v**2 + 84 + 2*v**4 + 87).\nAnswer: -2*v**5 + v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1275 and 513400?\nAnswer: 1540200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119095646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -69*b - 189. Let i(t) = -55*t - 142. Let z(n) = -11*d(n) + 14*i(n). Give z(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p + 30 = -42*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/5140 and 77\/12850.\nAnswer: 25700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:34 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209429 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: Suppose 20 = m - a, -16*m + 2*a = -18*m + 20. What is the smallest common multiple of 33 and m?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/117*6)\/((-2)\/6*-20)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 - d + 1. Calculate the remainder when (-795)\/45*(6\/(-3) - 1) is divided by h(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.31686 + 0.91686. Sort -49, g, -8 in increasing order.\nAnswer: -49, -8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-2413148)\/(-40) - (81\/30 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x - 37. Let m be p(-7). Let r(k) = k**3 - 6*k**2 + 5*k + 1. What is r(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 4*k + 2. Let i be d(4). Suppose 2*j = 8, -10 = i*s - 0*j - 3*j. Let r be s*6\/3 + -2. Solve 4*l + r*l + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 6:16 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:41 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -398992591 times 3?\nAnswer: -1196977773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904909 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 14 + 1 = 0. Let i(u) be the third derivative of u**4\/4 + u**3\/3 - 3*u**2. Calculate the remainder when i(h) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3261 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(sqrt(2) + 3).\nAnswer: -48 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -788. What is the highest common divisor of 357 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(288) + sqrt(288)*1) + sqrt(288))*1)\/(5*(sqrt(54)*2*2)\/sqrt(9)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = 3*h + 95 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2223922509 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -1, -24 in increasing order.\nAnswer: -24, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-417)\/(-7) + 112\/(-196). Suppose 46*y = n*y - 117. Solve -5*v + 19 = 2*f, -2*f = 4*v - v - y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177483390 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -26, 5, -4, 6, 0, 27 in descending order.\nAnswer: 27, 6, 5, 3, 0, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.349 plus 0.7?\nAnswer: -9.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*r + 1, 3*r - r = -2*q + 18. Let k be 7\/3 - (-8)\/12. Let j be ((-26)\/k)\/(4\/(-6)). Calculate the highest common divisor of j and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 185985.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -929 + 2750\/3. Let h = -32\/3 - j. Let a be ((1 - 2) + 3)\/(-5). What is the smallest value in a, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54426.\nAnswer: 2, 3, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41548282\/9 - -4621051. Let q = b + -4568. Calculate the common denominator of q and 21\/(-12) + 1 + (-38)\/(-40).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 104152?\nAnswer: 312456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016*w = 1025*w. Solve 0*y + 6 = k + 3*y, w = -2*k - 5*y + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 60 = -3*k. Let m be 28\/21*27\/k. Suppose 7 = 4*j - m*j. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/3, -5, 0.3, 0.08, 4.683, -0.1?\nAnswer: 4.683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2021211200 (base 3) to base 14\nAnswer: 12601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 + f. Let c(q) = 15*q**3 - 2*q**2 + 3*q - 64. Let i(h) = c(h) - 2*u(h). Find the second derivative of i(r) wrt r.\nAnswer: 102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189471 + v - 78419 - 209677 + 31883 + 6*v**2.\nAnswer: 6*v**2 + v - 445684","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/23)*i**(1\/11)*i*(i**(1\/4))**(-6) assuming i is positive.\nAnswer: i**(255\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -10. Suppose -4003*g + 4042*g - 702 = 0. Solve -w = h + 7, 2*h = w - t*w - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*16\/(-12)*9\/(432\/12)*-2.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 9204*h**2 + 4338656*h + 8714160.\nAnswer: 4*(h - 1638)*(h - 665)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, n: 3, x: 9}. What is prob of picking 1 p and 2 x?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002943064 rounded to 5 dps?\nAnswer: 0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3608 - -216377\/60. What is the common denominator of u and 61\/430?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10394\/1995 + 4\/399. Which is smaller: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1632743, -1632708, -1632667, -1632620, -1632567, -1632508?\n\"Answer: 3*l**2 + 26*l - 1632772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**3 - 18*r**3 + r - 6*r**3 - 4*r**3. What is p(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 53. Let c(i) = 2*i**2 + 193*i + 4653. What is the remainder when n is divided by c(-45)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335594, 671189, 1006784, 1342379, 1677974, 2013569?\nAnswer: 2349164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2672 + 0.2672. Which is the nearest to 3? (a) -1 (b) t (c) 0.05 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.15, -3, 0.179, -0.4, 6\/7, -0.8, -5\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28952.99924 - 28957. Let q = -4 - l. What is q rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6*c + c - 3*c.\nAnswer: 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*19577\nAnswer: 5873.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) -2 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -86.072 < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4828 = 1083*v - 1225*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2. Let j(n) = 91115*n**2. Calculate j(w(z)).\nAnswer: 91115*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 + 6776*t**4 + 15581272*t**3 + 13932216352*t**2 + 4316971559696*t + 65568275435776 = 0.\nAnswer: -2602, -778, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and -1625.53?\nAnswer: 2275.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by 41\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 218.9774 - -0.0226. Let o = 226 - g. Sort o, -0.02, -2\/3 in ascending order.\nAnswer: -2\/3, -0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + (-46 - -52)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.453 + -7.92. Let f = s - -3.037. Let r = 2.57141 - f. What is r rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 6716?\nAnswer: 6716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 144879421*u. Let r(k) = k**2. Calculate r(s(h)).\nAnswer: 20990046629295241*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -89091 (base 11) to base 8\nAnswer: -374267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307011?\nAnswer: 7, 67, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4961 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 5, q: 1, s: 1, d: 2}. What is prob of sequence dvq?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 + 653*m + 1648. Give f(-79).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 5*w**3 - w**2 + 530*w. Let h(j) be the first derivative of 2*j**2 + 1. Give h(o(p)).\nAnswer: 120*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20002102333 + 313?\nAnswer: 20002103312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -543288649 - 10687\nAnswer: -543299336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, -1.1443, 19 in descending order.\nAnswer: 19, 1.8, -1.1443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 16. Let l be a(9). Let v(g) be the second derivative of -g**3\/3 + 13*g**2\/2 - 110*g. Let c(n) = n - 7. Let z(k) = l*c(k) + 4*v(k). Give z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*t*u**3 + 3*t*u**2 + 13417*t + 3603*u**3 wrt u?\nAnswer: -30*t + 21618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 2) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + -16. Let w = p - -17.9. Put 67\/2, 3, 0.2, w in descending order.\nAnswer: 67\/2, 3, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-108)*80\/100.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 * 185\nAnswer: -14.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17 - 21*k + 17 + 36*k**5 wrt k?\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16773494*x - 16323984 wrt x.\nAnswer: 16773494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 + 93828\/(-30). Let v be (x - -3)\/(1\/1504). What is v rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 + 104\/16)\/((-1)\/(-724)) is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -193*w**6\/120 + 3*w**5 - 246*w**2. Find the third derivative of u(k) wrt k.\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*b + 12, 435*u - 9 = 438*u + 3*b. Let h(a) = 13*a**2 + 14*a + 1. Give h(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**2\/2 + c + 8. Let v be n(0). What is the greatest common divisor of 7 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(54) - -1*sqrt(91)\/sqrt(7) - (5 + (sqrt(117) + -1*sqrt(117)*-5)**2).\nAnswer: -4217 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466532640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3431931540?\nAnswer: 2, 3, 5, 47, 1216997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/20)\/((-4)\/(-40)). Solve h*m - 10*m - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 3*s - 7. Let t = -11 + 7. Let p be 2*t*1 + 1. Calculate the remainder when n(p) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225.9 - 131. Let l = n - -14.1. Let z = 108.999871 - l. What is z rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**8\/756 + 8*f**7\/945 - 2*f**6\/135 + 37*f**2 + 10. Determine l so that i(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9226, 8863, 8496, 8125?\nAnswer: 7750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3*6\/20)\/(-6))\/((-20)\/40)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1575745*b**3 + 5073*b - 238?\nAnswer: 9454470*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 43 - 47 - 7 - 3*t. Let y(d) = 10*d + 33. What is -7*g(w) - 2*y(w)?\nAnswer: w + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1243 - -1295. Calculate the remainder when 518 is divided by h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -462*h**5*y + 2*h**2*o*y**3 - h**2*o - h*o*y**3 + 3378*h*o - o wrt h?\nAnswer: -9240*h**3*y + 4*o*y**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f - 0, -3*d + 74 = -4*f. Suppose 3*p = -11 + d. Find the second derivative of -p*v**4 - 4*v + 0*v + 0*v wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3708)\/108)\/((-715)\/(-33) + -22)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4620519.\nAnswer: 3, 31, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 5 - 5 + c + c - c + (9*c - 7*c - 7*c)*(-23 - 65 + 8) to g*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.6. Let o = -0.5 + z. Which is the closest to -1\/2? (a) 2 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 7*q**3 - q**3 - 2*q**3 + 0*q**3 + 0*q**3 + (5*q**2 - 2*q**2 - q**2)*(2*q - 3*q - q) - q**3 + 0 + 0 + (-q - 2*q + 2*q)*(-2*q**2 - 3 + 3).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 28. Let y be f(7). Suppose 4*g = 12, -3*z = 3*g + g - y. Solve z*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4727 - -4714. Let j(b) = -b**3 - 12*b**2 + 8*b - 40. What is j(c)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -188, -1, 9 in decreasing order.\nAnswer: 9, 4, -1, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204 + 208. Suppose 4*w - 4 = -4*d, -j*w = 3*d - 7*w + 3. Solve d*b - 3*b = z + 19, -z + 4*b + 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6391138 and 6.\nAnswer: -3.8346828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - w**4 - w**3 + 26*w + 24*w + 2*w**2 + 0 - 72*w + 26*w in the form d + k*w**4 + y*w + x*w**2 + r*w**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610521031*t**3 - 9*t**2 - 1143891*t + 1 wrt t?\nAnswer: 3663126186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2. Let m = 5 + -3. Let d(g) be the first derivative of -3*g**3 + 3*g**3 + 1 - m*g**3. Give d(w(j)).\nAnswer: -96*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibip when four letters picked without replacement from biiiiiipiiiipip?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5158 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -137092000 times 4?\nAnswer: -548368000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:35 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1188.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19270 by -5.\nAnswer: 3854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11322, 18100, 24878, 31656, 38434, 45212?\nAnswer: 51990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39772 - -39777. Solve -2\/3*u**b + 8\/3*u + 8\/3*u**4 - 20\/3*u**2 + 16\/3 - 2\/3*u**3 = 0 for u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542207783 to the power of 1\/2, to the nearest integer?\nAnswer: 67396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/431494 and -103\/686.\nAnswer: 431494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q*q**(-2))\/q)*q))**(1\/39)*(q\/(q\/((q*q**0)\/q)*q))\/(q\/(q\/(q\/(q\/q**(-7)*q)))*q) assuming q is positive.\nAnswer: q**(77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/54*(-6)\/16. Let x(u) be the second derivative of 0*u**2 - u**3 + 0 - j*u**4 - 7*u. Find the second derivative of x(h) wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200331 (base 4) to base 14\nAnswer: aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 53 + -19 - (1 - -5). Solve -4*x - 2*g = -0*g - 8, -3*g - d = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*f + 35 = 59*f. Is 11 a factor of (-2 - -2)\/((-10)\/f) - -111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 1.955.\nAnswer: 4.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -74. Let j = 20.071 - s. Let k = -0.371 + j. Which is the fourth biggest value? (a) -4\/5 (b) -3 (c) k (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773825257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**3 + 21*v**3 + 39*v**3.\nAnswer: 105*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**7 + a**4\/12 - 16*a**3\/3 - 5*a**2. What is the second derivative of m(d) wrt d?\nAnswer: 2520*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/462 - (-1 - -1 - 8585\/238)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.024? (a) 8552 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/6)\/(((-209)\/12749)\/((-2)\/(-2))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 644 and 7406.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p. Suppose 89 + 11 = 5*k. Suppose 5*t - k = 0, p*w + 57 = 5*w - 2*t. Calculate the remainder when 25 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4191454 and 12.\nAnswer: -4191442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2\/3 + 1429295*k\/3 - 10005310\/3.\nAnswer: 5*(k - 7)*(k + 285866)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -100*b + 285. Determine z(4).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5340571756 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74800.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(-u + 3*u - 3*u)*(-5 + 2 + 4 - 5 + 4 + 2 + (2 - 4 + 1)*(-3 + 1 + 0) + 1 - 1 + 1 + 7 + 9 - 1) to g + x*u and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 4*m + 1. Let p = -123 + 127. What is o(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -728 + 726.85. What is l rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxxaxpaaapa. Give prob of sequence xax.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 34*b**3 + 13*b**2 + 2*b. Let r(d) = 34*d**3 + 13*d**2 + 3*d. Let t(c) = 3*g(c) - 2*r(c). Find the third derivative of t(x) wrt x.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgqg when four letters picked without replacement from {w: 5, g: 2, q: 2, v: 4, u: 1, f: 1}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 1 - 1)*(p + 2 - 2) + 1 + 5*p - 3*p**2 - 6*p + 3*p.\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:55 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/4688851 - -449004371799\/60955063. Let y = 7370 - d. Factor 20\/13*b - y - 2\/13*b**2.\nAnswer: -2*(b - 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhhn when four letters picked without replacement from {n: 1, r: 1, g: 3, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2. Let o(i) = 15*i**2 + 35. Give o(l(k)).\nAnswer: 735*k**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7295761 or -7295754?\nAnswer: -7295761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 72.1. Let x be 676\/(-5) - -1 - -1. Let c = -8688\/65 - x. Is c <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56043?\nAnswer: 3, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 240, 241, 242?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3 - 3*k**2 + 12 - 10*k + 4*k**2. Is x(11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -3)*-2*(-3)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d + 3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2, 126 in increasing order.\nAnswer: -2, -1\/3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 = -8*c. Let o be ((-57)\/c)\/((-6)\/(-16)) - 0. Suppose -4*q = 7*u - 4*u - 108, 0 = -3*q - u + o. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 7*d - 49. Calculate c(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**5\/60 - 2*k**3\/3 - 19*k**2\/2 - 16. Let i(g) be the second derivative of s(g). Differentiate i(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15260082 to the nearest 100000.\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185.74 - -1.74. Let l = 187 + p. What is the third biggest value in 1, l, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*d**2 + 8*d**2 - 12*d**2)*(4 - 2 - 1)*(d**3 + 4*d**3 - 6*d**3).\nAnswer: -13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enenneeeenhthetz. Give prob of sequence hen.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 13. Let f be t(-10). Suppose 5*a + 4 = 4*i - 11, 0 = 5*i + 2*a + 6. Let r = 2 - i. Solve m = -r, -o - f*m - 21 = -6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-24)*(14 + -2)\/(-3). Solve 4*o - 3*j = -14, -h*o - 12 = -3*j - 0*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 816530422 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*t = 4*p - 16, -3*t - 6 = 0. Suppose -2520 = -7*v - p*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518090753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*q**3 - 22*q**3 + 25*q**3 + (4 - q - 4)*(-154*q**2 + 64*q**2 - 214*q**2)*(-3 + 3 + 1) to the form w + n*q**2 + g*q + i*q**3 and give i.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 24*g - 23*g = 7, 0 = 4*s - 3*g - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 at most as big as 492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nssn when four letters picked without replacement from nnssssnnnssnnsnsnsn?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 5*f = 40*k - 22500, 4*k = -2*f + 18002. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -4491494.\nAnswer: -2245747","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 13038?\nAnswer: 91266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -739a9a6a - -4?\nAnswer: -739a9a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 5*n - 489. Let c be u(12). Solve c*f + 2*g + 13 - 22 = 0, g - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, o: 2, p: 7}. What is prob of picking 2 p, 1 o, and 1 z?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (4 + -8 - -12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(15)\/sqrt(3))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.0246, -4\/7.\nAnswer: -4\/7, -0.0246, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*r**3 - 61*r - 50*r - 78*r + 22*r.\nAnswer: -93*r**3 - 167*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 4*k**2 - k + 7. Let i be b(4). Let q(o) = 4*o**3 + 4. Let t(j) = 4*j**3 + 3. Give i*q(n) - 4*t(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3 + 0*n - 10*n - 2*n. List the prime factors of t(-16).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(1573)*-3 + -5 + (1*sqrt(1573))**2.\nAnswer: -99*sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4\/17 (c) -1\/6 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmsddmmmkdemm. What is prob of picking 1 e and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 0.3, -0.2, -0.4 in increasing order.\nAnswer: -0.4, -0.2, 2\/19, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 776 + -481. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-99)\/9 - 234\/(-12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -5. Let v be l\/((-25)\/7626) + -2. Let a = 1528 - v. Find the common denominator of a and -53\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10*v + 24254 = -3*v, -q + 8088 = 3*v. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:10 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-294)\/28)*(-14)\/8. Solve 1\/2*h**3 - 1\/2*h + 1\/2*h**2 - b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l - 117. Calculate d(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 + 360785*u**2 + 9599193*u wrt u?\nAnswer: 24*u**2 + 721570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7037 + 0.2423. Let c = 0.054 + y. Put c, -0.1, -15 in ascending order.\nAnswer: -15, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272915937.\nAnswer: 3, 7, 618857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885 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: Simplify 6*-1*(sqrt(192) + (2 + sqrt(192))*-4 - ((sqrt(192) - (sqrt(192) + 1)**2) + 4)).\nAnswer: -1086 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (99\/(-36)*4 - -9408)\/1.\nAnswer: 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/5 + 144*m\/5.\nAnswer: -4*m*(m - 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22923 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 652, 1646, 3048, 4864, 7100?\nAnswer: 9762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -271027, -6 in decreasing order.\nAnswer: 51, -6, -271027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 9. Give y(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41630797019 + -41630791919.3089926. Let v = 5099.211 - h. Let p = 0.48 + v. Round p to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216*v**3 - 602*v**2 wrt v.\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 9) to base 8\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -97570 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 47*n + 140. What are the prime factors of o(-47)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2145 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*y + 4, -40*a = -35*a + y - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 6443 + 20728 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*b - 609*b + 2088 = 12368 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2416796*p**2 - 3462571 with respect to p.\nAnswer: -4833592*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 35. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(36\/(-15) - -2). Let n = 10 - p. Which is the nearest to -1? (a) 0.1 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*v - 3*v**3 + 26*v + 24*v + 11*v**2 to f*v + i + n*v**3 + c*v**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -12*c**2. Let k(g) = -1577*g. What is v(k(w))?\nAnswer: -29843148*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 7:55 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - u. Let o(q) = -q**2 + q + 4. Suppose m + 0*m - 12 = 3*k, -k = m. Let s be o(m). Which is the smallest value? (a) 1\/3 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9083, 12212, 15341, 18470, 21599, 24728?\nAnswer: 27857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 19*g**2 - 9. Let x(k) = -5*k**2 + 2. Let t be 288\/(1*12\/(-8)). Let l = 183 + t. Give l*x(v) - 2*n(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 14*q**2 - q. Let s be i(1). Let h(v) = 351*v + 706. Let n be h(-2). Is s smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 1417*o + 42 = 3*a - 1415*o, 11*o = -a + 7*o - 41 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 13*z**2 - 25*z + 103. Let y(q) = -6*q**2 + 12*q - 52. Let a(v) = -4*t(v) - 9*y(v). What is the units digit of a(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 10 + 93 - 103.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47538.\nAnswer: 2, 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 4*v + 55. Let w(r) = -r**3 - 6*r**2 + 2*r + 12. Let u be w(-6). Suppose u = y + 3, -5*l - 16 = 4*y - 2*y. Is l bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1401290 divided by -140129.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 3. Suppose -4*l - 5 = 3*y, -2 = 3*l + 5*y - 1. Let f be c(l). Let x(p) = 4*p + 3. Let s(z) = 3*z + 3. Let d(o) = f*s(o) + 2*x(o). Give d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 875, 894, 913, 932, 951?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49440 is divided by 24669.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 1883\/20, -3, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 25773 = 25770. Sort 15, 24, s, 3 in increasing order.\nAnswer: s, 3, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/36 - 1)*(34\/(-25) - (-46 - -44)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/5? (a) -5 (b) -2\/3 (c) 3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 103, 169, 257, 373, 523, 713, 949?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945c9 (base 15) in base 9?\nAnswer: -2273880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 8*n**2 - 8*n - 7. Let l be y(-7). Solve -v = -l*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**2 - 20*v - 89. Let b be r(-8). Let f = -184 - b. Calculate the remainder when 388 is divided by f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -117, -118, -121, -126?\n\"Answer: -a**2 + 2*a - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 124\/(2\/2). Suppose -10 + r = 2*h. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + 14\/21 + (-4)\/6. Find the second derivative of -5*l - 51*l**3 - 5*l + 13*l - 5*l + k wrt l.\nAnswer: -306*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164672 - -1?\nAnswer: 164673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 216*n**2*u + 6*n**2 - 88*n*u**3 + 1490*n + 2 wrt u?\nAnswer: 216*n**2 - 264*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 25*l - 20. Let j(o) = 1. Let f(a) = -3*j(a) + v(a). Let x be f(7). Suppose -8*h = -x - 112. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 4*u**2 + 10. Let c be q(4). Let g be (-12582)\/(-45) + 4\/c. Calculate the highest common factor of g and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from {u: 3, q: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 - 4*u**2\/5 + 38*u\/5 + 8.\nAnswer: -2*(u - 4)*(u + 1)*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.76698+0.4\nAnswer: 1.16698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26126450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((9 - (-12 + 13)) + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60363553?\nAnswer: 3463, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079592 divided by -13?\nAnswer: -2079592\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**6\/80 + z**5\/20 + z**4\/16 - z**3\/2 + 22*z**2 - 19*z. Let l(i) be the first derivative of k(i). Let l(a) = 0. What is a?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49\/2 + 111\/4. Which is the second smallest value? (a) n (b) 1\/17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l - 19. Let m(g) = -11*g - 38. Determine 3*m(v) - 7*n(v).\nAnswer: 2*v + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 1. Suppose 30 - 2 = 7*g. Suppose -k + 6*k = -3*n + 4, -g*n + 9 = 3*k. Give l(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/1485 + 22\/(-60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10021220211220?\nAnswer: -10021220211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 + 4058*s**2\/5 - 411268*s\/5 - 82416\/5 = 0.\nAnswer: -1\/5, 202, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -16*j + 11*j. Suppose -16 = -4*m + j. Factor -6 + 3*z + 5 - z**2 - m*z.\nAnswer: -(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 18*l + 5. What is a(-5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 376996541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11 - (1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)\/(2 - 1). Suppose -n = r - 3. Let v(q) = -q**2 + 3*q - 5. Let l(b) = b**2 - 3*b + 6. Let u(x) = 4*l(x) + 5*v(x). Calculate u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 192, 676, 2202, 5358, 10732?\n\"Answer: 98*j**3 - 67*j**2 - j + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 0 - (0 - 6). Suppose -d = -3*k - 0. Suppose 16 = 2*x + k*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -275\/126 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -295. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6844*z**2 + 6847*z**2 - 577 + 2915.\nAnswer: 3*z**2 + 2338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -553*u - 3. Let i(n) = 184*n + 2. Calculate -8*i(d) - 3*x(d).\nAnswer: 187*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*40\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4084)\/372 - ((6 - -9) + 12\/(-3)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 225 - 318. Let x = j - -88. Which is the third smallest value? (a) x (b) -1\/18 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -211 and -240641?\nAnswer: 240430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztct when four letters picked without replacement from zxxtztcxztt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/18*(-18)\/(-4). Suppose 2 = 2*d - 3*d. Let n = 4.2674 + -4.2674. What is the nearest to n in o, 5, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1864505002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214513?\nAnswer: 13, 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 482664 and 78?\nAnswer: 482664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -5*h - 3*p - 37, -5*h - 4*p = -40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 5*q**4\/12 + 5*q**3\/2 - 13*q**2\/2 + 136*q - 4. Give u(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*g**2 + 23*g**2 + 109*g**2 + 0*g**2 as x + t*g + i*g**2 and give i.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*i**4 + 3*i**3*s*x + i**2*m*x**2 + 2*i*m*s*x + 2*i*s*x**2 - i*s wrt i?\nAnswer: 384*i**2 + 18*i*s*x + 2*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1916)\/(-3))\/((-118)\/(-177)). Let l = 960 - g. Let x be 1\/(-2) - 11\/(-2). Solve x*c = l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.6 (b) 60 (c) -541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -42 + 1 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 5, -638, -405, -1, 0.3.\nAnswer: -638, -405, -1, 0.04, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9828 and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15080841 + 495.64.\nAnswer: 15081336.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13\/j**(1\/30)*j**(3\/10)\/j**(-4))**38 assuming j is positive.\nAnswer: j**(9842\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 0*x**3 - 337*x**4 + 318*x**4 - x**3 in the form r*x**3 + y*x + f*x**4 + p*x**2 + q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 15*v + 17. Let j be i(14). Let y(o) be the second derivative of 0 + j*o**2 + o + 1\/6*o**3 - 1\/12*o**4. Calculate y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 967627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 + (-15)\/(-100). Sort -2, -1, t, -5.\nAnswer: -5, -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 1:12 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t - 37 = 79. Sort -27, t, 1.\nAnswer: -27, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139497283421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105983 by -47.\nAnswer: 105983\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 13 + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r, 4*y = 2*r + 144. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from mrlalvn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2772950 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + o - 43*o + 7*o as c*o + x and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*r - 9 + 23, -57*z + 62*z = 78*r + 508 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2265942 is divided by 15627?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (590\/8)\/(6\/(-8)). Let y = 100 + q. Let g = 0.4 - 0.3. What is the third smallest value in 2\/13, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -133? (a) -3 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 770100 rounded to the nearest 10000?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1272 and 28401640.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 8 = -3*t, -2*z - t = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 9*i**2 + i + 8. What are the prime factors of f(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9185511kg?\nAnswer: 918551.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1875 - -1988.41. What is v rounded to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 549 = -25*c + 29 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and 56.914.\nAnswer: -0.170742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 336241799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 26*p + 10. Determine y(23).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = -20. Suppose -3*y - 3 = -4*g + b, 0 = 5*g + 5*y - 25. Solve 0 = 2*s - 7*s + g*i + 15, -15 = -5*s - 5*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3952288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 166*s - 3. Let l be k(1). Differentiate -1 + 8*j**4 - l*j**2 - 5 + 163*j**2 wrt j.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 67, 81, 73, 37, -33, -143?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 225 = -30. Let p = -42 - q. Calculate the remainder when p is divided by (30\/4)\/((-2)\/(-4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -5 + (-7 - 1) - -3 - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -317\/45 + 4021\/360. Let v = 55\/23 + -2205\/874. Calculate the common denominator of v and q.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*d**4 + 2 + (-1 + 2*d + 1)*(3*d**2 - d**3 - 3*d**2) + 2*d**4 - 6*d**4 + 2*d**4 - d**2 + d**4 + d**2 + 16*d**4 - 30*d**4 + 33*d**4.\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 585 + 391 = 802 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 20. Which is the third biggest value? (a) -2 (b) x (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 - 100. Let p = 0.08 - -0.32. Which is the closest to 0.2? (a) m (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1376*u + 6134*u - 50068*u.\nAnswer: -42558*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1\/81, 1\/7, 1, -3\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -27. Let w = a - 5. Let g(m) = -m**3 + m**2 - w*m**2 - 4 + 5 - m. Determine g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/3, 6\/11, -3, -3.3329, 1 in descending order.\nAnswer: 2, 1, 2\/3, 6\/11, -3, -3.3329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ssm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24939825.12 and 27.979.\nAnswer: 24939853.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3007 and -0.5.\nAnswer: -1503.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/962480 and 29\/184.\nAnswer: 22137040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30331579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(25\/(-20)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 97*w**5\/60 - 10*w**4\/3 - 63*w**2. What is the second derivative of d(z) wrt z?\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/110 and 143\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1 - 4*d - 1\/2*d**2. What is g(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - v - 20, -g + 2*v = -15. Which is the third biggest value? (a) g (b) 4 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l - 8. Solve l*h + 2 = -2*r, 0 = -2*r - r - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*2.41.\nAnswer: 0.1928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -0.5, 2.83?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b = b + 72 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766043288?\nAnswer: 2, 271, 353341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - 68 - -131 - -52.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 24573*r**2 - 6347124*r.\nAnswer: -3*r*(r + 267)*(r + 7924)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386814826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 2*r**2 - 5*r - 3. Let d(i) = -i**2 - 8*i - 10. Let k be d(-7). Give h(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, h: 4, k: 5}. Give prob of sequence kh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, g: 1, m: 1, r: 7}. What is prob of picking 1 g and 3 r?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7434 + 22298\/3. Let q be -1 - -2 - (2 + -1). What is the closest to 0 in 21, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150 and 1000.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 34.98. Let h = 0.02 - c. Let g = h - -1.1. Which is smaller: -0.13 or g?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 12. Suppose 0 = 2*z + z. Suppose z*n + 3*n = 0. List the prime factors of r(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10430 divided by 11.\nAnswer: -10430\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 202. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 386 + -270. What is the greatest common divisor of l and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.57 - -2.\nAnswer: -38.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 251, -5 in increasing order.\nAnswer: -5, 2, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t = 9*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 1, x: 2, r: 1}. Give prob of sequence fx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = o. Let g = -743 + 743. Put o, -3, g in decreasing order.\nAnswer: o, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {e: 15, g: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*i + 39*i + 110*i.\nAnswer: 235*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 9 = -5*n, -7 = 6*u - 7*u + 4*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24890*p**2 + 1332*p + 7 wrt p?\nAnswer: -49780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19938391 divided by -361?\nAnswer: 55231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 6, g: 1, t: 1, u: 3}. What is prob of sequence ug?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -17161*d**3\/5 - 4323*d**2 + 16872*d\/5 + 21904\/5 = 0. What is d?\nAnswer: -148\/131, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, a: 4, d: 5}. What is prob of picking 1 r and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6561)\/972)\/(6\/(-4)). Factor 75\/2*i**5 - q*i - 27\/2 - 135\/2*i**4 + 57*i**2 - 9*i**3.\nAnswer: 3*(i - 1)**3*(5*i + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1518 + 1519. Let t be (-4)\/2 - (-132)\/69. What is the second smallest value in -1\/4, t, w, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5778 (b) 5 (c) -0.2 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -3\/4 (c) -0.837 (d) 2\/15 (e) -5 (f) -3 (g) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8812*y + 165599 + 351781 = 30261 - 173781 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4975383.007+-0.0446\nAnswer: 4975382.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgg when three letters picked without replacement from {w: 1, b: 2, m: 5, f: 2, a: 1, g: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-30)\/(-4))*30\/(-35)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2433792 - -332.3895.\nAnswer: -2433459.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -386, -2, -29.289 in descending order.\nAnswer: -2, -29.289, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60143429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2305 - 1997. What is the least common multiple of 28 and g?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 - 21*j**2 + j - 16. Let z(i) = 3*i**3 - 14*i**2 + i - 11. Let d(l) = 5*k(l) - 8*z(l). Let n be d(-6). Suppose 4*o - 394 = -n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 11. Let z be y(-9). Let s = 43 - z. Suppose 2*f = 4*f + 8, -5*n = 2*f - s. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3 + 1 - 3 + 2*y. Let c = 150 + -144. Let l be k(c). Solve -5*g = -l - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 410016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755426 is divided by 1458?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*1*(-6)\/24)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588756 and 3311.\nAnswer: 6476316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.25 + -0.3. Let u = -11.6 + 10.93. Let t = u + j. What is t rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1389*l**4 - 5*l**3 - 133*l**2 - 20272490 wrt l?\nAnswer: -5556*l**3 - 15*l**2 - 266*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-20)\/6)*(-8)\/(-3). Solve -x*l + 16 = -0*l, -b - 16 = -5*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 4*p. Let u(b) = -2*b**2 - 6*b. Let h(f) = 3*k(f) + 2*u(f). Let x(a) = 651*a - 323*a - 328*a + 9*a**2. Give x(h(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105509*w**2 + 105509*w**2 + 2*w**5 + 19*w**3 - 2*w**4 - w**4 - w**5 + w**4 + (0*w + 0*w + 2*w**2)*(-2*w**3 + w**3 + 3*w**3).\nAnswer: 5*w**5 - 2*w**4 + 19*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = x - 16, -2*x + 5*x - 2*v - 34 = 0. What are the prime factors of (-13)\/(-5) - (-4)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.5 + -82.5. Let d = 143 + w. Let l = -72.99996 + d. What is l rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23055553 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279 by 6.\nAnswer: 93\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12042424023 (base 5) to base 14\nAnswer: 1c12d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 - 10617507.5487?\nAnswer: -10617507.5267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) - (sqrt(5) - (-4*sqrt(50))\/sqrt(10))).\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 2\/7, -4, 14\/263?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 305.7?\nAnswer: 300.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8 + 5*s**3 - 4*s**3 - 7*s**2 - 5*s - 7*s + 13*s. Let t be l(7). Which is greater: -36\/23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 9:54 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -872.546 - -873. Round w to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1000*i**2 - 24*i + 34. List the prime factors of j(2).\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28868, -63577, -98286?\nAnswer: -132995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**7 + 0*x**3 + 0 + 1\/168*x**8 + x**2 + 0*x**4 + 0*x**5 + 0*x - 1\/60*x**6. What is v in k(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2013*g + 14084. What is k(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 at least as big as 45386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 223 - 8 = 14*i. Sort -5, 2, i in descending order.\nAnswer: i, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3 (b) -5 (c) 0.529 (d) -0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 407993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**4 + 107610*p**3 - 579210780*p**2 + 2315444390*p - 1736341215 = 0. What is p?\nAnswer: 1, 3, 10759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.064, 5, -1\/5, -0.6, -4\/7, 3 in ascending order.\nAnswer: -0.6, -4\/7, -1\/5, 0.064, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 7*p - 5. Suppose 2*d - 2*q - 16 = q, 3*d - 2*q = 19. Let m = d - -1. What is the smallest common multiple of m and l(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 17, f: 2}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 388*d - 261*d - 79*d - 2 - 322*d to n + l*d and give l.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 41?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-35)\/810)\/(-7)*39\/52. Let s(w) be the third derivative of z*w**4 - 1\/1080*w**6 - 1\/18*w**3 + 0*w + 0 + 8*w**2 + 1\/180*w**5. Factor s(k).\nAnswer: -(k - 3)*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1861560 and 103\/140?\nAnswer: 13030920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43882 + -42190. Calculate the highest common divisor of 792 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109458, 109456, 109454?\nAnswer: 109452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.3087.\nAnswer: 0.3087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**8\/6720 + a**7\/315 - a**6\/180 - a**5\/60 + a**4\/4 + 2*a. Let s(p) be the third derivative of v(p). Is s(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 + -1 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d + 37. What is k(-6)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1aad5ce?\nAnswer: 1aad5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -350699 and -2246.11257.\nAnswer: -352945.11257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 860 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 10:00 AM?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/1322389, -4, 0.5, 0.1.\nAnswer: -4, -12\/1322389, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 432 - 5043?\nAnswer: -4311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 188813 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, -0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - b**3 - b**3 + 3 in the form q*b**2 + x*b**3 + w + z*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 0*s - 3379 = 0. What is the units digit of (-2)\/1 - (s - (-11 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81301)\/(-133)*56\/(-16). Suppose -8090 = -5*x + 2825. Let q = x + l. Find the common denominator of q and 27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*s*u**2 + s*w - 96*s + 7*u**2*w wrt u.\nAnswer: -24*s*u + 14*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 288880 divided by -806\nAnswer: -144440\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 + -282 + (-1 - (-4 - (2 + -81)))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34662978 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 17*s - 54. Let j be k(4). Let f = -349 - -355. What is the closest to f in 2\/13, j, -0.9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 105 and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, t: 4, d: 1, j: 1}. What is prob of picking 2 t and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-13 - -10)*(-4)\/18. Let m = 1\/111 - 77\/333. Which is greater: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 + 47\/4. Let h = x - -11. Suppose 0 = -4*k - 8, h = 5*v + k - 0*k. Solve -v*s = -4*w - 3, -w + 22 - 4 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 10*s + 1. Let i be n(4). List the prime factors of 2\/2 + 4 + i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - 21) + 30 + -30 + -75\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116189588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46230*q + 46290*q = 2460 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -781.72 + 795. Let i = 3559 + -3546. Let s = i - a. Round s to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 37*o**2 + 22*o + 34. Let k be b(37). Let c = 1669 - k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497918907 to the power of 1\/3, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/4 and 39\/3760.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27315503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(10\/4)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35285 or -246989\/7?\nAnswer: -35285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 11*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*sqrt(170)*-4 - sqrt(170)))\/(1*sqrt(1210) + sqrt(1440)*-2)*-6.\nAnswer: -228*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 848*v - 849.\nAnswer: (v - 1)*(v + 849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -212715 (base 10) in base 6?\nAnswer: -4320443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**3\/3 + 15*w**2\/2 + 39. Let b be u(6). Suppose b = 2*p - 0*p. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1330163499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c6 - -6?\nAnswer: 2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010001000010001 - 11101001011?\nAnswer: -111010100101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6034 + -351.5034. Round m to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from {h: 2, w: 18}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Solve -2*x = -b*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 732, 2916, 6552, 11640?\nAnswer: 18180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125964 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 + s**5\/12 - s**4\/24 - 93*s**2. What is c(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 67*u**3 - 8*u**2 - 14*u - 9. Let t be h(-11). Round t to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*2217111\nAnswer: 886844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 3. Let u(j) = -5*j + 16. Suppose 0 = 13*b - 806. Let m be (b - (-8 + 4))*(-2)\/4. Calculate m*i(w) + 6*u(w).\nAnswer: 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 1470560*s + 135159169600.\nAnswer: 4*(s - 183820)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)\/k)\/k*k*k*(k*k\/(k**(-5)\/k*k))\/k*(k\/(k**0*k)*k)**(-2\/11))**(-1\/22))**(3\/2) assuming k is positive.\nAnswer: k**(-63\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-10)*(-5)\/20*54\/126\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j - 535 = -30*j + d, 4*d + 532 = 2*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.78 - 0.78. Let k = r + -53.2. Let q = 6.2 + k. What is the third biggest value in 4, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 23 = 4*a, a + 0*a - 1 = 0. Let r be (-2)\/4*(12 - 9 - i). Do r and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*c + 2*k, -4*c + 4*k + 6 = 2. Calculate the least common multiple of 8 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c9 (base 14) in base 2?\nAnswer: -1000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 891 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (224 - 224 - 35*q)*((-4*q + q + q)*(4 - 1 + 0) + 1 - 1 + 2*q) as i*q + a + p*q**2 and give p.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 5, -0.07, 0.6 in descending order.\nAnswer: 5, 0.6, -0.07, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -6*y - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*v**2 - 731329*f + 19478613*v**2 + 6*v wrt v?\nAnswer: -4*f + 38957226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, y: 4, z: 6}. What is prob of sequence ty?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*u + 20458 = -14450 + 2578. Calculate the greatest common factor of u and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17993 in -0.5, -0.1, 1\/12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -46883 - -4.\nAnswer: -46879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -53. Let k(f) = 76*f - 7. Does 29 divide k(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64340 and 780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 12 = -8*o. Is o\/((-14250)\/14253 - 6\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001179065 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, 1 o, and 1 a when four letters picked without replacement from {a: 1, w: 6, o: 4, b: 4}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + -6)*(-6)\/34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-4))\/(-7)*(-12)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217097 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/3045)\/((3\/6)\/(1\/4))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*z - 2398 + 785 = 0, 5*z + 960 = 3*n. Solve n = 79*l + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/710 (b) 8173 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = -5. Let r = 861 - 854. Suppose r + 3*o**2 - 3*o**3 - 2 + p*o - 3*o**4 - 5 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**(-6))\/c)*c**9)\/(c**(1\/3)\/(c**3\/c))*(c**(-8\/5)*c*c)\/c**(-4)*(c**2)**10 assuming c is positive.\nAnswer: c**(451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26530 - -0.04.\nAnswer: -26529.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (-160)\/15)\/(7\/(-42)). Solve 74*f = 87*f - a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 487 by 3.\nAnswer: 487\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 99892.47um in nanometers?\nAnswer: 99892470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*4\/(-8)*6\/(-13)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -8 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1015 and 527800?\nAnswer: 527800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = 251 - 42 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9403387 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(1\/5)))**(5\/3)*f**(-21)\/(f**11*f))**(-5\/2) assuming f is positive.\nAnswer: f**(245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(413*j**2 - 85*j**3 - 104*j**3 + 190*j**3).\nAnswer: -2*j**3 - 826*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-1*(sqrt(2) + sqrt(72))))\/(sqrt(9) + sqrt(729) + (2*sqrt(729) - sqrt(729)) + sqrt(729) + sqrt(729) + sqrt(144)*2)*-2.\nAnswer: 2*sqrt(7)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 + 166. Let t = 6 - 1. Calculate the smallest common multiple of t and -15 + 8 - c - 7\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -1525.8\nAnswer: -1525.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -19*k + 47. Give m(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*s - 182*s - 462. Let w(c) be the first derivative of c**4\/4 + 5*c**3\/3 - 3*c**2 + 7*c - 2. Calculate w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -291, -294, -301, -312, -327, -346?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -9*x**5\/8 - 5721*x**4\/8 + 5701833*x**3\/8 - 1899975*x**2\/8 = 0.\nAnswer: -1175, 0, 1\/3, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18185 divided by 2?\nAnswer: 18185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:24 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44505761?\nAnswer: 419, 106219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 60, 2\/3, 1\/4, -0.3, -0.209, 0.4, 3?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvzvvzvvvv. Give prob of sequence vzv.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-79 - -50) + -46?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 21.32. Which is greater: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -8. Let q = 3 - 0. Let z be 150\/90 + (-49)\/24. Sort n, q, z in increasing order.\nAnswer: n, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -3.5, 13, -0.4, -5, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4085, 4075, 4063, 4049?\nAnswer: 4033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1335311.\nAnswer: 23, 58057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 3*n - 3*n - 2*n + 5*n - 4*n + (-5 + 0 + 4)*(2*n - 1 + 1) + 26*n - 7*n + 13*n to l + y*n and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 2 + 2 + (-1 - 4 + 3)*(-2*w - 2*w**2 + 2*w))*(-19*w - 68 + 68).\nAnswer: -152*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {e: 2, n: 1, h: 4, b: 2, a: 4, y: 6}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0.2 (b) 3\/8 (c) -14 (d) 9 (e) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13880 and 2429.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 5 + 1\/4*m**4 + 3\/2*m**2 - 4\/3*m**3 + 2*m. Let q be p(3). Solve 0 = c + 6 - q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15458 divided by 5\nAnswer: 15458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.397 take away -0.5?\nAnswer: -1.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(73633\/(-14727) + 5). Suppose 0 = -2*a + 3*k + q, -a - 6*k + 2*k + 2471 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 133\/5. Let m = 7.9 - 40.9. Let u = m + 33. Is s at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 512 and 128?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16635 is divided by 1279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4125899 + 7025899. Round i to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:58 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*((-9717)\/2686 + 14\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1943 + 5887\/3. Let m(p) = 48*p**2 + 32*p + 63. Let y be m(-2). Suppose -183*c + y*c - 144 = 0. Is t at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*8\/128*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 + -2.8. Let z = -1.099958 - p. What is z rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9*1 + 264\/27. Calculate the greatest common factor of 40 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50352 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -14. Suppose 586 = -h*l + 4*l. Suppose 3*s - 288 = s - 4*w, 3*w - l = -2*s. Calculate the greatest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**2 + 19*c**2 + 97*c - 96*c - 47*c**2 - 660*c**3.\nAnswer: -660*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 2*x**2 - 5*x + 5. Let s(a) = -a**3 + 2*a**2 - 5*a + 4. Let q(c) = 2*j(c) - 3*s(c). What is the units digit of q(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -9. Let z be 1\/((-35)\/20 - s). Solve t - 5 = -f, 4*f - 21 = -f - z*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 39*m = 495, v + 2*m - 81 = 13*v - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -268\/7, 0.038 in increasing order.\nAnswer: -268\/7, -5, 0.038, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 14088.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57592480 a multiple of 761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (12301*x - 297658 + 24955*x + 297658)*(2*x - 3*x + 3*x) in the form k + b*x + z*x**2 and give z.\nAnswer: 74512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Suppose -2*p + 24 = 2*p. What are the prime factors of (36\/p)\/(-3)*(-9)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14430*f**4 - 269*f**3 - 48*f**2 + 526690*f wrt f.\nAnswer: -346320*f - 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69446?\nAnswer: 2, 13, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 6*a - 3. Let j be s(4). Suppose -x + 4*b + j + 58 = 0, -3*x = 3*b - 237. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -2*n + 5*q, n + 1 = q. Suppose 0 = -2*g - 2*g - h + 88, n = 5*g + 2*h - 107. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-9 + -13 + 21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**3 - 8*j**2 - 7*j. Determine i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, p: 3}. Give prob of picking 1 p and 3 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*l + 33. Let t(h) = 4*h**2 - 19*h - 22. Is t(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.3. Let l = -83\/155 + -2\/31. What is the second smallest value in l, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.5 and -0.2?\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.1495 rounded to 1 dp?\nAnswer: -48.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - -11 - -2 - 5. Solve 0 = -n*t + 6, -3*m + m - 4*t = -2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 9*q**2 + 7*q + 7. Calculate i(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*g*q**3 - 133*a*g*q**2 + a*g + a*q**3 - 24701*g*q**3 - 141*g*q - 2*q**3 + q wrt q?\nAnswer: 24*a*g + 6*a - 148206*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 9*h + 2. Let p be n(9). Calculate the remainder when 58 is divided by 4 - (5*-3 - p).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 4. Let g be x(-4). Let w(t) = -t + 4. Let l(m) = m + 1. Let y(f) = 3*l(f) - w(f). Is y(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 11*j = -48. Suppose j*q - 8*q = 20. Suppose 0 = q*p - 67 - 118. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29039051.\nAnswer: 107, 271393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + 12 + -6 + -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 26\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1333191)\/2*(-27)\/(2592\/64) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2615 by 13.\nAnswer: -2615\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - i = -7, 5*w - 2 + 4 = -4*i. Suppose -2 = 3*x - w*k, 4*k - 12 = 3*x - x. Suppose 11 = 3*o + 2. Solve -x*t = o*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1036 and 45436.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 545, -17, -1\/5 in ascending order.\nAnswer: -17, -1\/5, 545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160999*q**3 - 78541*q wrt q.\nAnswer: 965994*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/44)\/((-2)\/2)*4\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.52 + 0.17. Let v = -0.05 - c. Put v, 0, -2\/5 in ascending order.\nAnswer: -2\/5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41\/4 + -21\/2. Suppose -6 = -4*n + 5*u, 3*u + 2*u = -n + 14. Let w be (12\/(-54))\/((-14)\/(-147)*(-84)\/18). Put n, x, w in increasing order.\nAnswer: x, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 1, 102, 267, 496, 789?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 7*r**2 - 44*r + 44*r in the form u*r**2 + d*r + g and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 1 - 1)*(5 - 32*d + 14*d + 27*d).\nAnswer: 9*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 697788.419.\nAnswer: 697789.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*l - q, -15 = -4*l + 2*q + q. Let n = 2127 - 2130. Put l, -4, 3\/2, n in increasing order.\nAnswer: -4, n, 3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/85696 and -93\/40.\nAnswer: 428480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 s when four letters picked without replacement from {s: 3, n: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:37 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*n - 48 + 5, n + 3*d = 5 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19781121.\nAnswer: 3, 6593707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44063577 + -5?\nAnswer: 44063572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1436*b**3 - 3*b**2 + 160*b wrt b.\nAnswer: 8616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7592 + 0.015840011236?\nAnswer: 7592.015840011236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21247858*g**5 + 121*g**2 + 2*g + 2959 wrt g.\nAnswer: -1274871480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q + 25. Let o be u(-3). What is the third derivative of v**2 - 18 - 18*v - 20*v**4 + 31*v - o*v wrt v?\nAnswer: -480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(7) + 5)**2 + (sqrt(1008)*-4 - sqrt(1008)))*-4.\nAnswer: -128 + 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 61 + 19 + c**2 to the form n*c**2 + p + o*c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58950 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161560885 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33759 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/12 + (-2)\/(-4). Let l(n) = n**3 - n**2 + 2*n - 4. Let w be l(3). Let d = w + -18. Which is greater: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 3*h - 217 - 2*h**2 + 195 + h + 3*h - 2*h**3 to the form g*h**4 + x*h**3 + c + p*h + k*h**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 61. Sort p, 2, -4, 4 in increasing order.\nAnswer: -4, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40104 + 80261 + 5*r**3 - 40101 + 3*r - 3*r + 2*r**3 + (-5 + 3 + 1)*(0*r**2 + 0*r**2 - 2*r**3) to v*r + w + s*r**2 + g*r**3 and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1241?\nAnswer: 1\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1322625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1031447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 16, -2\/9, 3\/7 in descending order.\nAnswer: 16, 3\/7, -2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -r - 3*r + 5*x, 0 = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) - 16065\/(-36) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9333656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 - 9972*p\/11 - 4786614\/11.\nAnswer: 2*(p - 5427)*(p + 441)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 39*y**2 + 46*y**2 - 4*y**2 - 3*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 33 + 35 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 19*o**2 - 27*o - 106. Determine g(-20).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 40 = 5*m, -5*d + 96*m = 91*m - 55 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9614 - -568.\nAnswer: 568.9614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:25 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 0 - 1 + 62*p - 69*p. Let u(v) = -v - 1. Give o(m) - 6*u(m).\nAnswer: -m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7080 divided by 1\nAnswer: -7080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/21*(60\/(-8) + -3). Calculate the greatest common factor of 8 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -208\/11 - -1654\/77. Let t = 110578 + -6966562\/63. Let w = i + t. Are w and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3\/3 + 4*p**2 + 17*p - 78. Let o be z(-3). Sort 0, o, -144 in decreasing order.\nAnswer: o, 0, -144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8462 = 2*t - 0*k, -2*k + 12703 = 3*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26390a + 73?\nAnswer: 263980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005302 rounded to six dps?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -3 (b) -1\/2 (c) -3\/5 (d) -15 (e) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253*f**3 - 5*f**2 - 349*f**3 + 3*f**2 - 187*f**3 - 1628*f - 545*f**3 wrt f.\nAnswer: -4968*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -720481, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77749743\/17 or 4573515?\nAnswer: 4573515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -434 + 4?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-10)\/(-12)) + (12 - 15). Let l(t) = 2*t**2 - 147 - g*t**2 + 296 - 150. Calculate l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, -1\/15, -0.1, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -4 (c) -0.649\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3205652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152 + 1671\/11. Let n be ((0\/(-8))\/(6\/2*1))\/(-6). Is n less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*v + 4*v**2 + 281*v - 562*v.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.11 - 23.1. Let q = h - -1.69. Which is the nearest to 0? (a) 3 (b) 2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h - 2. Let b(s) = -s**2 - 14*s - 5. Calculate the lowest common multiple of b(-5) and r(-5).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14 + 38*w - 18*w**2 - 16 + 38. Let s(p) = -p**2 + p - 2. Let g(f) = -10*s(f) - u(f). Factor g(n).\nAnswer: 4*(n - 2)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -87, -1\/63, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1793, 1913, 2033, 2153?\n\"Answer: 120*j + 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)\/c)\/c*c)\/(c*c**(-6)) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/52 and -101\/234.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7759*j + 7795*j - 792 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 120\/(-18) + 4\/6. Let v be -2*(-3)\/h*1*0. Solve -4*g - 8 = -v*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7619311 is divided by 935?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 4664\/40 - 12\/(-30)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -17?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, a: 2, k: 4, h: 1, e: 1, s: 2}. Give prob of sequence ehsz.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(2304))\/(6*sqrt(36)\/sqrt(3)) - (-1 + ((sqrt(231)*-3 + sqrt(231))\/sqrt(11))\/sqrt(7))).\nAnswer: -4 - 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(3 - (-381)\/(-126)). Suppose -11 = -p - 4*h, -4*p + 2*h + 14 = -j. Let g = p - 11. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*-2*-2 - sqrt(36))\/(-5*sqrt(2)*2))\/((sqrt(432)\/(1*sqrt(8)))\/(5*1*sqrt(6))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52938087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3191, 3188, 3185, 3182, 3179?\n\"Answer: -3*y + 3194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 5*v + 3. Let d be b(3). Let i be (d\/12)\/(1\/4). Suppose -3*o = -0*o - n - 71, 4*o + n = 97. Solve -4 = i*r - o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and 91\/456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1052 - -1981. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*m + 4*q + 36 = 0, 5*q = m - 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 144 and 147 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -127.12. What is the nearest to j in -0.4, -2, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*j - 103 = -100, 3 = z + 4*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t**2 - 9*t**2 + 12*t**5 + 6*t**5 - 3*t**5 + 0*t**5 + 3*t**2 + 2*t**5 - 3*t**2 + (0 + 1 + 1)*(-2*t**5 - 2 + 2) - 2 + 2 + 4*t**5.\nAnswer: 17*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 157139328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 395.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1257, 25\/2?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13602390 is divided by 103.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*3*(-3)\/6. Let r(t) = 6*t - n*t - t**2 + 6*t + 5 - 3. Let l(g) = 2*g**2 - 4*g - 3. Let u(y) = y - 9. Let b be u(12). Determine b*r(j) + 2*l(j).\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(624)\/sqrt(192).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.33 - 8.63. Let w = 1.3 + s. Let p = 6.4 + w. Which is the closest to p? (a) -2 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11137 - -5745. Does 33 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from vttevhv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -70\/1349 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 18.992 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -223, -219, -215?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-28)\/(x\/x**(-20)))**16 assuming x is positive.\nAnswer: x**(-784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 6\/146537, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 331104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 132*z - 14482. Give w(-71).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t + 4. Suppose 3*i + 5*w = -16, -1 = -t*i + w - 5. Let x = 107 + -112. Put i, 1\/4, x in increasing order.\nAnswer: x, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2, 0, 118, 4, -3\/343, 3 in ascending order.\nAnswer: -3\/343, 0, 2\/9, 2, 3, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8228 (base 10) in base 3?\nAnswer: 102021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9595 is divided by 1195.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1*sqrt(252)*1)**2 - (0 + 0 + sqrt(252))) + 5*1*sqrt(252) + 3).\nAnswer: -1020 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.486507 rounded to 2 decimal places?\nAnswer: -129.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -877957.6 to the nearest 1000.\nAnswer: -878000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 9 = 2*c, 0*c + c = 5*r + 18. Let z(s) = -4*s + 30*s**2 - 1 - 2*s + s + c*s. What is the remainder when z(-1) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/816 and -49\/132.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475164241.\nAnswer: 433, 1097377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*f + 16*f - 6*f + 6*k - 7*k, -f = 4*k - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -616 + 810. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 7*s + 1. Let n(i) = -i**2 + 8*i - 2. Let f = -834 + 828. Determine f*z(l) - 5*n(l).\nAnswer: -l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:05 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwavq. What is prob of sequence wva?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2) - (-28)\/8. Let n(f) = -3*f. Let o(i) = 4*i. Suppose 0 = -r + w, -w - 20 = -3*r - 2*r. Let z(k) = r*n(k) + 4*o(k). Calculate z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58998 is divided by 2931.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -2)\/(0 + -1). Suppose 5*j - 118 + 44 = -3*q, l*q - 32 = j. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.15, -6471, 65?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 335*b**2 + 228*b**2 - 4*b - 3*b - 266*b**2 to the form z + s*b**2 + w*b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = 3*k, -4*h + 7*k = 2*k - 52. Suppose -5*z + 0*z - 12 = 3*a, -2*a - h = 3*z. Suppose 2*j + 4 = 0, z = d + 3*j - 6 - 6. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9*n + 16 = 0. Suppose n*f + f = 155. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24016 in -0.0298, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, 54, -459, -0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 2:59 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -230 - -22. Let z = -157 - a. What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggmmqmgganammmng. What is prob of sequence aa?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 + 471 = -28*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**4 - 71850*t**3 - 2*t**2 + 71166*t?\nAnswer: -24*t - 431100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -1264616?\nAnswer: 1264615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0\/w**11)\/(w\/(w\/((w*w\/(((w\/(w*w**4*w))\/w)\/w))\/w*w*w))*(w\/w**(-1\/2))\/w))**12 assuming w is positive.\nAnswer: w**(-258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(91) - sqrt(91)*2*-2 - sqrt(91))\/(sqrt(175) + 2*sqrt(175))*5.\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let g be (-6)\/(-4)*(-8)\/(-12). Let c(m) = 180*m - 90*m - 95*m. Give g*c(d) + 2*z(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*u + 2*c, 0 = 2*u - 5*u - 3*c + 24. Let d be 9\/18*((-6)\/(-2) - u). Sort d, -1, -4, 61.\nAnswer: d, -4, -1, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 97*t**2 - 56*t**2.\nAnswer: -148*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27666 and 227052?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 0. Suppose 2 + d = z. Solve -1 = 3*b + z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -107*d + 22*d**2 - 16*d**2 - 109 + 124. What is the remainder when 193 is divided by t(18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(-24) assuming p is positive.\nAnswer: p**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-415)\/83*4\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -215. Let r = s - -340\/3. Which is the closest to r? (a) 0 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 587*y + 6896. What is r(575)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200022220011 (base 3) to base 12.\nAnswer: 1449741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -64\/99 smaller than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = 0. Suppose 6 = -o*b + 3*b. Solve 0*r = -b*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10 - 67*c - 72*c + 136*c. Let u(n) = 7*n - 21. Let h(a) = 4*u(a) + 9*z(a). Let r be h(-10). Is -4 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 - -92. Which is the second biggest value? (a) -3 (b) -1\/51 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.0989, 24, -2?\nAnswer: -0.0989","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7414832 nanograms to micrograms.\nAnswer: 0.0007414832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55323282 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1367275 milliseconds in days?\nAnswer: 0.00000016361953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-33)\/t*t)\/t*t*(t\/t**(13\/5))\/t*t*t**30*t*(t\/(t*t*t*t**(4\/17)*t*t*t*t))\/t*t assuming t is positive.\nAnswer: t**(-836\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = 3. Suppose -v - y*v + 130 = 0. Let s = 10923 + -10637. Calculate the highest common factor of v and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from {z: 2, w: 1, y: 4, x: 1, d: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 294\/210*2\/7. What is d in 0 - z*d + 1\/5*d**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117227 to the nearest one hundred.\nAnswer: -117200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450821797 divided by 1?\nAnswer: 1450821797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/49 and 79\/84?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/((-5)\/(-690)). What is the highest common factor of d and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqdiqiuq. What is prob of sequence qu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/1 - (2 + 4))\/(181 + -189).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*3 - -3. Let v = j - 0. Let m(w) = -1. Let q(d) = d + 3. Determine v*q(r) + 4*m(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 0 (c) 1 (d) -222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11473?\nAnswer: 7, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -0.4, -1453, -234 in descending order.\nAnswer: 41, -0.4, -234, -1453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 620*p + 1. Let z(r) = -18*r**2. Calculate z(j(c)).\nAnswer: -6919200*c**2 - 22320*c - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26732 is divided by 13325?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 101, 3, -3, 15\/2, -0.17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -373069286210.999998962 - -373069285387. Let z = -824 - j. Round z to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j**3 - 2*j**2 - 5. Let k(h) = -22*h**3 - 5*h**2 - 10. Let a(w) = -6*k(w) + 15*v(w). What is the derivative of a(g) wrt g?\nAnswer: -99*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*(b**5\/b)\/b))\/((b\/(b\/(b*b**(-4\/9)*b)))\/b)*((b\/b**(6\/5))\/b)\/b**(1\/2) assuming b is positive.\nAnswer: b**(-653\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -2*o, -18 = -a + o - 15. Suppose -5*n - 4*y = -21, a*n + 3*y = 18 - 11. Solve u + u = 2*w - 6, n*u - 12 = -4*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 + 0 = -5*r, r = -5*v. Put r, 5, 2 in ascending order.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + q - 4*q)*((0 + 0 - 2)*(-q + 0*q + 2*q) - 1881*q + 133*q - 356*q) in the form x*q**2 + s + c*q and give x.\nAnswer: -2106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443505334141 + 0?\nAnswer: 443505334141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/607 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + d = -12 + 1, -5*z - 2*d = -22. What is the nearest to -0.1 in -2, -10, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 10*z + 122. Let y = 61 + z. Solve 5*x - 8 - 2 = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4654815 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874 + 999 = 25*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -12.147, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6063*x = -6049*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 2*i**2 + i - 3. Let n be m(-3). Let r be 18\/n + (-35)\/(-25). Solve 0*j = 3*j + 2*s + 6, 6 = -5*j - r*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-364)\/(-234) + -2 - (-386)\/18. Solve -284*n = -291*n - b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3\/4 (b) -1\/6 (c) -11.9 (d) 5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 101*q**3 + 323*q**2 - 670*q - 870. Let d(l) = 34*l**3 + 107*l**2 - 225*l - 290. Let n(m) = -11*d(m) + 4*r(m). Determine a, given that n(a) = 0.\nAnswer: -29\/6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5377581?\nAnswer: 3, 11, 54319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 85 (b) 3\/7 (c) 28.523 (d) -7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 17*o. Let g(r) = -14*r. Let l(t) = -4*t. Let m(c) = -6*g(c) + 20*l(c). Calculate p(m(d)).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -6\/1081 (c) 1\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 25 = 14*k. Suppose -3*p = -5*z - k*p + 40, -34 = -4*z - 2*p. Solve -2*x - x = -z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/4))**(7\/4)\/((t**(1\/3)*t)\/t)**(-44) assuming t is positive.\nAnswer: t**(809\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 11) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -416?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 75250637.\nAnswer: 4\/75250637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/60 - w**5\/60 - w**4\/12 - 39*w**2. Let l(p) = -p**2 - 5*p + 8. Let n be l(-6). What is o(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 438111 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 341727496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19890863 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*v + 46. Suppose -4 = 2*f, -2*t - 4*f = f - v. Solve -4*c + 6 = 2*k, -5*k - 1 + t = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366101 + 366101 - 50*k**2.\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p**2 - 4*p + 13. Let x(u) be the third derivative of u**5\/15 + u**4\/24 - 2*u**3\/3 + 26*u**2. Let k(j) = -3*r(j) - 8*x(j). Calculate k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60f9a (base 16) to base 3\nAnswer: -202011212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/5)*r*r*r\/(r*r**(-2\/11))*((((((r**(2\/7)*r*r)\/r)\/r)\/r)\/r)\/r)\/r**(-2\/23) assuming r is positive.\nAnswer: r**(3139\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1074, -2177, -3288, -4401, -5510?\nAnswer: -6609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -581 + 586. Solve -20 = -z*j - 3*u + 2*u, 4*u + 4 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1125434 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 + (-304)\/(-20). Suppose 3*n - j = 6, n = 4*n + 2*j - h. Let r(d) = d**3 + 2 - 4 + n. Let v(t) = 7*t**3 + 2*t**2 + 5. What is -5*r(y) + v(y)?\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**2 + 3*n - 2. Let l(w) = 4*w + 8*w**2 + 8*w**2 - 2 - 7*w**2. Let y = -6 + 3. Let r(t) = y*l(t) + 4*q(t). Differentiate r(i) with respect to i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - c73?\nAnswer: -c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 48*n - 2. Let s be j(1). Let q be (s\/115)\/(2\/(-30)). Let r(h) = h**3 + 6*h**2 - 5*h + 6. Give r(q).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mccmccmccc. What is prob of sequence mmcm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2374742 and -13\/54.\nAnswer: 64118034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -2. Let p be 2*2 + (-47)\/(1081\/46). Solve 0 = -z + 3, h = 2*h + p*z - w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*q - 627 = -4437 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 12*i. Suppose 15*l = -46 + 76. Let u(j) = 25*j. Calculate l*u(o) - 5*v(o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/3 + 4*r**3\/3 - 2*r**2 - 8*r\/3 + 8\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-2 - 1 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.081 + 0.019. Let y be ((-1104)\/(-42))\/(-8) - 3*-1. Let i = -0.1 - -2.1. Sort y, -3, s, i in descending order.\nAnswer: i, s, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndss when four letters picked without replacement from {d: 1, c: 4, s: 3, n: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -16. Is 2 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 2267 + 2262 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.6685509 and -0.1.\nAnswer: 1.06685509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153.000395 + -153. What is g rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t + 5. Let n be (-6)\/(-9) + 35\/(-3). Let z(c) = -c**3 - 10*c**2 + 12*c + 11. Let d be z(n). What is l(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -187, -401, -701, -1087?\n\"Answer: -43*u**2 + u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799 is divided by 124?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60981792 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -h - 4*t, 407*h - 400*h - 31 = -2*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 343? (a) 0.2 (b) -2601 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*n = 7, 0*u = -3*u + n + 41. Solve 2*h + h = u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1836*i**3 + 6*i**2 - 7*i - 5. Let k be t(7). Suppose -k = -3*d + 3*r, -3*d + 5*d + 2*r = 420008. Round d to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4018.8814 + -4019. Which is smaller: l or -0.02?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3767\/1432 - -1\/179. Let q be (9\/(-2))\/((-1)\/(-2)). Calculate the common denominator of 182\/6*q\/12 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 12:58 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1716, -24016, -3 in ascending order.\nAnswer: -24016, -3, 1716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936128 + 651382 = 155*f. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(2\/21))**50 assuming f is positive.\nAnswer: f**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.5, -0.97 in descending order.\nAnswer: -0.5, -0.97, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 plus -2.40713?\nAnswer: -2.93713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 857 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 310599 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, -411 in descending order.\nAnswer: 20, 3, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 32*r**2 + 17*r + 16. Determine j(-4).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-48)\/(-12)))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 478922 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 1.1. Let o be (1\/(-30))\/((-319)\/1762). Let t = o + -1\/435. Which is the nearest to 0? (a) -5 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.1, 1\/4, -3\/10, -3\/23?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.1, 4, 2, 0.8, 24 in decreasing order.\nAnswer: 24, 4, 2, 0.8, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61\/4 + 15. Which is the closest to -1\/3? (a) f (b) -0.4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15128509 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 10*m = -4. Solve 2\/7*l**3 + 0*l + 2\/7*l**m + 0 + 0*l**2 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1447 - -1444. Which is the fourth smallest value? (a) 5\/6 (b) v (c) 1 (d) 2\/11 (e) 6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 2068428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 109, 193, 267, 325, 361, 369, 343?\n\"Answer: -j**3 + j**2 + 88*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(20))*-3 - (-5 + (1 + sqrt(5))*-4)) + ((sqrt(385) + -2*sqrt(385))\/sqrt(7))\/(sqrt(11) - sqrt(275)*-4 - sqrt(11)))**2.\nAnswer: -123*sqrt(5)\/2 + 19681\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/4 - 93*w**4\/4 - 1045*w**3\/2 + 546*w**2 = 0.\nAnswer: -52, -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2*w - 3*w + 2*w) - 3*w + w + w + (-1 + 4 - 1)*(-5*w + 2*w + 0*w).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92414?\nAnswer: 2, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/815 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -327 times -0.4\nAnswer: 130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (14 - (0 - -21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9 = -7*u. Let l be (-9 - 1)*(-1)\/2. Sort l, 2, u in increasing order.\nAnswer: u, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g = 0. Let r be ((-12)\/30)\/((-4)\/362). Let t = r - 37. Is g < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - ((-167 - 11) + 192).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 equal to 14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 317 - 109?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 70 = -166. Let v(z) = -z**3 + 7*z**2 + 12*z - 19. Let g be v(w). Calculate the greatest common factor of 117 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204 - 44. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 13) in base 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) - 2890\/136. Let n be 16\/(-2)*(-22)\/(-8). Let l = d - n. What is the lowest common multiple of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260307 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-14\/3)*o)\/(o**(2\/25)*o*o))\/(o**18\/(o*o*o**(2\/35))) assuming o is positive.\nAnswer: o**(-11387\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**3 - 210*w**2 + 2700*w - 9720 = 0.\nAnswer: 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4352806 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14*s + 701. Let o be r(49). Solve -o*z + 53 = 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -y - 3*y - 16, g - 3*y = 1. Suppose 140 = -g*d - d. Let j = d - -34. Calculate the greatest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -15. Let q(x) = -128*x - 8 + 248*x - 124*x. List the prime factors of q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21271221 * 0.5.\nAnswer: -10635610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485*5207.\nAnswer: 2525395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -5 (c) -2\/7 (d) -0.204\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1408485906 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 8:42 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/181977341 and 71\/261274.\nAnswer: 363954682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppq when four letters picked without replacement from qpeeqqppp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -170500566523\nAnswer: 170500566519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8489226 and 111786.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8014350467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7 - z**2 + z**4 + 3 + 3 + 2*z**3 in the form o*z**4 + g*z + u*z**3 + y*z**2 + k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**5\/4 + 77*d**4\/16 + 40*d**3\/3 + 13*d**2\/2 - 2491. Factor g(u).\nAnswer: u*(u + 2)*(u + 13)*(5*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 839438695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 9033 - 9033.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12724 + 2980?\nAnswer: 15704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 689 + -407. Suppose -7*t + c = -2329. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56669 + 7469. What is q rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + 6*j + 5. Let q be z(-3). Let g be (54\/q)\/(2 - (-24)\/(-15)). What is the least common multiple of (-6 + 0)\/((g\/12)\/(-3)) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q + 0 + 0)*(-2 + 1 + 0) + 0 + 0 + 3*q)*((q - 3*q + q)*(-5 + 2 + 1) + 3*q - 3*q + q).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 2*f + f - 2. Let o be s(-2). Suppose -m + 0*m + 4 = o. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6*p**2 - p + 5*p**2 = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**4\/4 + 5*q**3\/3 + 3*q**2 - 2*q - 2. Let h be s(5). Suppose -7*n + 11*n = h. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42905 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 < -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*h + 16, -2*h = 2*j - 3*h - 28. Is 2\/(-3) - (-224)\/j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/11 and 69\/86?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*b**3 + 435*b**3 - 215*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/(-39))\/((-44)\/(-3)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3 + 495*b*n + 138*n wrt b.\nAnswer: -3*b**2 + 495*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21367279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y - 25. Calculate the remainder when 88 is divided by s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83176, 81747, 80318, 78889, 77460?\nAnswer: 76031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:11 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28, 29, 30, 31?\n\"Answer: t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 108.5, 1, -0.6, 0.1, 35 in descending order.\nAnswer: 108.5, 35, 8, 5, 1, 0.1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13395.\nAnswer: 3, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*o = -174, 9*t + 2*o + 88 = 10*t. Let n = t - 84. Suppose 1\/6 + 1\/3*k**n - 1\/2*k = 0. Calculate k.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q + 7. Let t(b) = 14*b - 21. Let y(w) = 11*d(w) + 4*t(w). Let c(i) = -i + 6. Let j(f) = -7*c(f) - 6*y(f). Let v(m) = -3*m. Determine j(v(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -618, -1211, -1776, -2307, -2798, -3243?\n\"Answer: n**3 + 8*n**2 - 624*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j - 5*j, -2*m + 4*j + 2 = 0. Suppose -o + m = 2. Let v = 14.9 - 15.2. What is the nearest to o in -5, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63e1 (base 16) in base 7?\nAnswer: -134355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q - 5*x + 8 = 0, 3*x = -4*q + 37. Suppose -2*n + 181 = 5*d, -4*d + 3*n + 13 = -95. What is the remainder when d is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25530.\nAnswer: 2, 3, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2653 - -2666. Is d greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 3*o + 3*o)*(0 + 2 - 1)*(-2*o + 2 - 2)*(-o**3 - o**3 + o**3).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 516.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = 5*s - 0*s, -2*s = -3*f + 16. Suppose -3*i + f*i = -5*w + 5, 0 = 4*i + 2*w - 2. Solve 2*v - 12 = 4*t, -4*t - t - 5*v - 15 = i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1290 - -4058. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*((-728)\/32 - -16).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 12:30 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:30 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23963.\nAnswer: 31, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1212\/11 or 109?\nAnswer: 1212\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*l - 46. Solve -6 + 1 = -l*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 10*n. Let g be u(-10). Suppose g*c - 117 = -3*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1379\/27 - 51. Are u and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93878\/37 + -2537. Let k = 1\/148 + m. Factor -3\/4*c**2 + 1\/4*c + 1\/2 - 1\/4*c**3 + k*c**4.\nAnswer: (c - 2)*(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/10 + -1\/30. Let a = 23 + -16. Let y = a - 6.7. What is the nearest to 2\/3 in z, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 11 = 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248534377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -12. Let a = 14 - u. Suppose 4*f - 20 = -3*v, -5*f + a - 2 = -2*v. Solve -f*z + z + 1 = 3*r, 2*r = -3*z - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-189)*-2*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 3*z + 2. Suppose k = 0, 2*w + 3*w = 3*k - 10. What is q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11377, -11382, -11391, -11404, -11421, -11442?\nAnswer: -11467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34461431 (base 7) in base 12?\nAnswer: -10197b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 66376902.\nAnswer: 265507608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from {o: 5, d: 3, p: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = -4*t, 2*c = -t - 1 - 2. Suppose 5*r - 22 - 13 = c. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 17 = 3*w + 13 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36355439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r**2 - 381*r - 156. Let l(o) = 4*o**2 + 127*o + 55. What is 6*g(w) + 17*l(w)?\nAnswer: 2*w**2 - 127*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + -3. Let q = t - -61. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1553 - 1509.9. Let y = 116 - 73. Let g = s - y. Which is the smallest value? (a) g (b) -2\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -290593, -4 in increasing order.\nAnswer: -290593, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*n + 4 - 24*n - 24 + 45*n + 5*n**3 - 30*n**2.\nAnswer: 5*(n - 4)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3 (c) -41 (d) 0.3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(1\/22). Let j = 2 - 2. Let q = m - j. What is the remainder when q is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1113478 or -1113475?\nAnswer: -1113475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 1\/((-4)\/(-8)). Solve -5*v = -2*a + 1, -2*v = i*a + v - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 2. Let u be j(-4). Calculate the common denominator of 7\/(-21)*(-28)\/u*1 and -37\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(168\/(-9))*2*-1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 9*y = 4*y - y. Suppose 5*w - 7 - 3 = 0, 4*j - w - 2 = 0. Solve j = c - y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 2, -1, 0, 230.\nAnswer: -42, -1, 0, 2, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.85.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:46 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 400, 817, 1232, 1645?\n\"Answer: -d**2 + 420*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 33. Let h(t) = -99 + 30 + x - 4*t**2 + 36. Let k(l) = -22*l**2. Determine k(h(s)).\nAnswer: -352*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 5 - 8\/25*w**5 + 1\/10*w**4 + 0*w**3 + 0*w + 0*w**2. Factor g(m).\nAnswer: -2*m**3*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-15)*-3*10. Suppose g = 5*p + 854, 0 = p + 2*p + z*g + 517. Let l = 40 - p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 2*x**5 - 2*x**5 + (1 - 1 - 2*x**2)*(x**3 - x**3 + 2*x**3) - 7*x**5 + 4*x**5 - 4*x**5.\nAnswer: -13*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9407077*o**2*q**3 - 2*o**2 + q**3 + 2*q**2 - 81473*q wrt o.\nAnswer: -18814154*o*q**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 565006*k - 565006*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 7:16 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1331976 and 760?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -10 + (-3 - (20 + -7)) + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032.9 rounded to the nearest 10?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215*t**5 - 1002*t**5 + 2900*t**2 - t**6 - 3908*t**2 + 2*t wrt t.\nAnswer: -120*t**3 - 73020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*n = -154*n + 40 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -28 + (-4 - -29) + -57.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, 136, 313, 498?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + x + 3*x**2 - 2*x + (-5*x + 2*x + 2*x)*(x + 5*x - 4*x))*(-x + 4*x + 0*x) to u + z*x + p*x**2 + f*x**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6 - 2567*p + 5 - 42*p - 1708*p.\nAnswer: -4317*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + 0) - (sqrt(2) - sqrt(4)\/(sqrt(2)*2)).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 9. Let d(f) = -f - 4. Give 5*d(x) + 3*r(x).\nAnswer: x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*j - 5*g + 3, 3*g - 9 = 0. Suppose -3*t + 0*t - 18 = 3*z, j = -2*z - 3*t - 9. Let r = 0 - z. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w + 99. Calculate l(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1711, 13564, 45717, 108328, 211555, 365556, 580489?\n\"Answer: 1693*g**3 - 8*g**2 + 26*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 262\/(-655)*(-84)\/(-8)\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**8\/20160 - q**6\/720 - q**5\/30 - 3*q**4\/8 + 108*q**2. Let h(l) be the third derivative of r(l). Give h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - f = 545, 0*y + y + 5*f = -295. Let u be (-108)\/(-45)*y\/(-12). What is the greatest common divisor of u and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5\/6, -5, 3, -2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1. Let c(p) = 2*p - 3. Let z(o) = c(o) - 6*i(o). Calculate the least common multiple of 7 and z(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**0)\/y)**45)**50\/(y*y**2*y*y\/y**(-5)*(y*y**0)**(-3\/38)) assuming y is positive.\nAnswer: y**(-377\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 65 = 10. Suppose -3*u = i + 1. Let g be (-6)\/u*28\/(-399). Sort 0.3, g, -0.1 in ascending order.\nAnswer: g, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*l - 113*l = 4*r - 1006, 2*l + 765 = 3*r. What is the remainder when r is divided by 94?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, j: 1, y: 5}. Give prob of picking 2 y and 2 v.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2459 minus -0.0709?\nAnswer: -2458.9291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4379*b + 1209 = -4597*b + 12109 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -96767298 divided by -46278?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 6 = 0, 52479 - 52487 = 3*d - 4*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 313*i**5\/3 - 628*i**4\/3 - 935*i**3\/3 + 2510*i**2\/3 - 1268*i\/3 + 8\/3 = 0.\nAnswer: -2, 2\/313, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + -5. Let g = m - -11. Let s = -0.1 - 0.1. Which is the third biggest value? (a) g (b) s (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 138, -3, 5\/2, -1, -73, 0.41?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822535591?\nAnswer: 23, 35762417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 53 = -a. Suppose 9*v - 11*v + 4*s + 28 = 0, a*v = s + 25. Solve -5*f + f = -v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5989 + 0*z**3 + 5987 + z**3 + z - 217*z**4 to b*z**3 + o*z + y*z**2 + s + t*z**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -801*j**3 - 893*j**3 - 858*j**3 + (-2*j**2 + 4*j**2 - j**2)*(2*j + 2*j - 2*j) + 1 - 1 - j**3.\nAnswer: -2551*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1483938 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + (-28 + 34 - 28).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 + 59 = -3*t, 4*x = -5*t + 111. Suppose -j + 3*f - x = 0, -2*f + 93 = -5*j - 26. Let m = -20 - j. Solve -7 + m = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 57*y**2 - 162*y + 67. Give o(54).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 6 + 1 - 2*b. Let f be o(5). Let r(j) = -f*j + j + 3*j. Let c(x) = 2*x. What is c(r(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45699 is divided by 15204.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 13*v + 16. Let g be u(14). Solve 2*z = 8, -g*c + 4 = -c + z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6349 - -8709. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15.646943 (b) 0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13112398.\nAnswer: 2, 13, 504323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1053 - -0.2.\nAnswer: 0.3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 5*j = -14, z + 32*j + 14 = -4*z + 29*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 61. Let x = c - -27. Suppose -p - 1 = g - 7, x = -3*g + p + 30. Calculate the highest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1123455 - -3?\nAnswer: -1123452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731 and 645.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 600.7?\nAnswer: 603.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43862111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 2, 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2 - 5. Let k(q) be the second derivative of 5*q**4\/12 - 2*q**2 + 17*q. Suppose 8 + 0 = -2*i. Calculate i*r(x) + 5*k(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 + -68 + 29)\/(5 - 594\/60).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/4)\/(8\/16) + -3. Suppose -3*o = -0*n - 4*n + 39, w*o - 14 = -4*n. Solve -8 = -n*i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c. Let o(l) = 2*l**2 + 3*l - 1. Let f be o(2). Let a(p) = p - f + 13. Calculate g(a(d)).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {v: 9, j: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8475.153 litres to millilitres.\nAnswer: 8475153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**3 - 3164*b**2*x**3 - 44*b**2*x - 5*x**3 + 58*x**2 - x - 1549 wrt b.\nAnswer: 9*b**2 - 6328*b*x**3 - 88*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 96 + -111 - (2 + -28)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 36*y**3 + 5*y**2 - 5*y - 1. Let w(p) = -108*p**3 - 14*p**2 + 13*p + 3. What is -11*b(k) - 4*w(k)?\nAnswer: 36*k**3 + k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100986 is divided by 1905.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -2\/169, -5, -134, -0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, 1325, 4.\nAnswer: -5, 4, 18, 1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -70*c - 57. What is the tens digit of h(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2 + 5 + 0 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44 - 309*u - 307*u + 628*u wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.1, 1, 3\/8, 30, -5, 0.5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14751474.\nAnswer: 2, 3, 31, 79309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 2*y**3 - 2*y**2 + ((0 - 1 - 1)*(-2*y**2 - 1 + 1) + 3*y + y**2 - 3*y)*(1 - 2*y - 1) + 2*y**3 - 2*y**3 + 2*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/23*z**2 - 320\/23 + 88\/23*z.\nAnswer: -2*(z - 40)*(z - 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 5, 2 in ascending order.\nAnswer: 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/9)))\/(a\/(a\/(a\/(a\/(a\/(a\/(a\/a**6*a))))))))**(13\/4)\/((a**(1\/2))**(-7)\/(a*a\/a**(1\/3)*a)**0) assuming a is positive.\nAnswer: a**(581\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20186, -26440, -32694, -38948, -45202, -51456?\n\"Answer: -6254*r - 13932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 44.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84552 greater than 84554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/63 - 181\/252. What is the nearest to -0.1 in y, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**3 + o**3 + 0*o**3)*(-3*o + 0*o + 0*o) + (-2 + 3*o + 2)*(0*o**3 + 0*o**3 - o**3) to the form c*o + a*o**2 + n*o**4 + p*o**3 + j and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3591*s**2 + 860 + 2137*s**2 - 860.\nAnswer: 5728*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(7) + sqrt(847) + 1 + sqrt(847).\nAnswer: 5 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/5024 and -11\/7969006.\nAnswer: 127504096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4 (c) 11.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/2 - 203319*r\/2 + 101661 = 0.\nAnswer: -67774, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + (-14)\/(-6))*15. Suppose -4*v + 21 = p, -5*p + v = k*v - 25. Suppose 3*f = o - p, -5*f + 5 = 5*o - f. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdi when three letters picked without replacement from {d: 4, i: 6, h: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6405 by 427.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-two fifths of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen fifteenths of a hour?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34390*r - 1 + 2 - 1 - 34428*r.\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 258 - 256. Solve 0 = -2*q - 2 + 4, h*k + 7 = -3*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0 - 1\/390*p**5 - 49\/78*p**4 - 138*p**2 - 2401\/39*p**3 + 0*p. Solve y(i) = 0.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-30) + -1 + (-20)\/(-25)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, c: 4, r: 1}. Give prob of picking 1 v and 2 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8441102 - -0.1166?\nAnswer: -2.7275102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 24 + 4*g**2 - 5*g**2 + 6*g**2 + 9*g**2 in the form u*g + p + i*g**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i - 26. Let q be t(-10). Suppose 3*s + q = 4*k, 2*k + 3*s = -k + 12. Let h(u) = u**3 - 9*u**2 + 9*u - 7. Calculate h(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 7*r + 14. Determine g(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2429 + 4327. List the prime factors of n.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 14*k**2 + 22*k + 71. Calculate t(-12).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 3:54 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 51. What is the nearest to 0 in 0.5, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/294 and 95\/21462?\nAnswer: 21462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.7, -4\/7, -2\/159 in increasing order.\nAnswer: -10.7, -4\/7, -2\/159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -b + 3*f, 2170*b + f + 25 = 2172*b. Solve 4*r - 8*v - b = -11*v, 3*v = 2*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -30*l**3 + l**2 + 2*l - 13. Give v(2).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 12\/217?\nAnswer: 12\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/40*(-4215315)\/(-45). Let f = 14055 - v. What is the common denominator of f and 73\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + (-3 + sqrt(1100)*-2 + sqrt(1100) + sqrt(1100) - (4 + sqrt(1100)*-2))))**2 + -4.\nAnswer: -240*sqrt(11) + 4432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57499.29 nanograms?\nAnswer: 0.00005749929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700*t = 669*t + 216752. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(-5 + -1*sqrt(325) + 5 + 5 + sqrt(325) + 1 + -2*sqrt(325)*4) + -1)**2.\nAnswer: -2080*sqrt(13) + 83369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 115 = 0. What are the prime factors of v\/(-1)*1\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-570)\/(-76)*(8\/(-430))\/(-2)\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 21. Suppose -o*n = -4*n - 54. What is the remainder when 71 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 - (7 + -15) - (88 - (10 - 1))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3692445.4 to the nearest 10000.\nAnswer: -3690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 2. Let i(v) = -16*v + 10. Let d(a) = -4*i(a) + 22*u(a). Let o be d(3). What is the tens digit of 17 + (o - 0) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 8 + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k - 6*k)*(0 + 1 + 1) + 33*k + 38*k - 82*k.\nAnswer: -31*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -37. Let w = 3 - r. Let g = 7.99994 + w. Round g to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-40) + (0 - (-5173)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18*b**2 + 32*b. Let v(p) = 25*p + 8. Let m(d) = 60*d + 20. Let h(x) = -2*m(x) + 5*v(x). Calculate k(h(w)).\nAnswer: 450*w**2 + 160*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 12:04 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + (-936)\/84)\/(5\/(-35)). Let k be (-20)\/6 + (-2)\/3. Sort t, k, -10.\nAnswer: -10, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 31*i - 34. What is the tens digit of k(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -16, -34, -58, -88, -124?\n\"Answer: -3*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-14 - 0)*189\/135.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -3, 3\/4, 3\/89 in ascending order.\nAnswer: -3, 3\/89, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 47. Let j be b(-4). Suppose j*h - 41013 = 16*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 17. Suppose -3*n - 19*n = 418. Let l = n + 25. Calculate t(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065876 rounded to four decimal places?\nAnswer: 0.0659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-8 - (20 + -12)) + (5 - 7 - 7)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 6308994.\nAnswer: -2\/3154497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1054.00000683 - 1054. What is a rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 86 = -1194 - 365. Which is the nearest to 2\/11? (a) 6 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.19, 64.2, -0.1, 1, 5?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twrqwttvwqwwtqq. Give prob of sequence wv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169561\/120 - 1413. Let p(y) be the third derivative of -1\/12*y**3 + 7*y**2 + 0 + 0*y + x*y**5 - 1\/48*y**4 + 1\/240*y**6. Factor p(o).\nAnswer: (o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0a09c (base 16) to base 7.\nAnswer: -200250450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(132)*2*1)\/(-2*sqrt(108)*6))**2.\nAnswer: 11\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 1461 = -z + 5*b, 5*z - 7390 = -3*b. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59519 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/11)\/a)\/(a*a**(3\/7))*(((a*a**(-1\/6)*a)\/a)\/a)\/a*((a\/a**9)\/a)\/a*a)**26 assuming a is positive.\nAnswer: a**(-77285\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + 0.04. Let x = 33\/20 - 9\/10. Let p = -0.2 - 0.3. Which is the nearest to r? (a) x (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*x**2 + 4*x**2 + 70*x**2 in the form c + l*x + h*x**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(68) + -1 + sqrt(68) + 3 + sqrt(68))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -13 + (16 - 3 - -44)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*v**4 - 13*v**2 wrt v.\nAnswer: 2400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*d - d + 22, 5*d + 23 = -2*q. Let p(g) = 459*g**3 - g**2. Let w be p(q). Let u = -315 + w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - v - 6. Let y be (6 - (-3 - -9))*(-2)\/4. Let c be s(y). Let a(b) = 4*b + 9. Give a(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9769850*a**4 + 79*a**2 + 2*a - 1409242848.\nAnswer: -117238200*a**2 + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392 is divided by 140.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(130))\/sqrt(10))**2 + sqrt(13) + sqrt(637)*1.\nAnswer: 8*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10640400 to the nearest 10000.\nAnswer: -10640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-72)\/27)\/(2\/(-15)). Let s be 88\/h + 12\/20. Is 1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w**2 + 96*w - 13. Let d be a(-12). Are 8 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 6162428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*z**2 - 113*z + 5013 wrt z.\nAnswer: -30*z - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214278 is divided by 421?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 778697955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -85, -146, -223, -316?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*w - 192 - 148, t = w - 86. Let j = 90 - w. What is the closest to -7 in -3, j, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 + -159. Let y = -47\/6 - -19\/3. Which is the nearest to n? (a) y (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*o + 57*o + 79*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 12*n**2 - 13*n + 8. Let q be a(11). Let t be 1*2 - (-22 - q). What is the second derivative of 7*m**2 - 8*m**2 - 8*m + t*m**2 wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1006 divide 1256437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 - 2*c**2 - 2*c + 2. Suppose 3*h + 3*n = 3, -11*h + 7 = -7*h + 3*n. Suppose -b - 18 = -5*r, r + 8 = -2*b + h*r. Calculate f(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 26, 26, 24, 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 0.47.\nAnswer: -10.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5\/5 + 1912*r**4\/5 + 6996*r**3 + 41184*r**2\/5 - 264384*r = 0.\nAnswer: -459, -12, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/26 + 1056\/(-104). Let a be 4\/v + 34\/10. Suppose 0 = q - a*q - 3*m + 79, -2*m = -2*q + 64. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40517a (base 11) in base 2?\nAnswer: -10011110111100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/30)\/(57\/(-3135)). What is the greatest common divisor of f and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -16*n + 4. Let k(j) be the third derivative of -j**5\/60 - j**3\/6 - 7*j**2. Let m be k(-1). What is the units digit of g(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 4. Let q be w(3). Let g = -10 - -13. Which is the nearest to 0? (a) q (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2858 or -2868?\nAnswer: -2858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 188*j - 563*j + 184*j + 191*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 1. Let q(w) = 2*w + 1. Suppose -3*m - 4*k + 38 = 2*m, 3*m - k = 16. Suppose m*p + 12 = -12. Give p*f(d) + 7*q(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16654961 to the power of 1\/2, to the nearest integer?\nAnswer: 4081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 3\/2990713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 6:49 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -417 and 95.6.\nAnswer: -321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -9\/1327 (c) -2 (d) 1 (e) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + -0.39. Which is the smallest value? (a) 1 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:41 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqqlqll. What is prob of sequence qqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1685156*-0.4.\nAnswer: -0.46740624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:47 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-1705)*5*(-2)\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-20)*q*q*q**(-14)\/q)**34 assuming q is positive.\nAnswer: q**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 91 - 3*c**3 + 5*c**3)*(-51*c + 53*c - 70*c - 71*c).\nAnswer: -278*c**4 + 22796*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f**2 - 2*f + 4. Let c(j) = 17*j**2 - 4*j + 9. Let p = -498 + 511. Calculate p*g(o) - 6*c(o).\nAnswer: 2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -33 (b) -5 (c) -435 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 - (5 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -174333, -348661, -522989?\n\"Answer: -174328*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 7dd?\nAnswer: -7de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5344*k - 5297*k - 5343*k + 21330*k - 5340*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2600522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0 + 3\/2*a**3 - 240*a + 0*a**2. Let g(x) = -19*x - 1. What is -2*g(h) - 5*k(h)?\nAnswer: -7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/11100 and 43\/2685830?\nAnswer: 80574900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:11 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 178\/1447, -3 in descending order.\nAnswer: 178\/1447, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -142*j**2 - 435*j - 25. What is i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -17. Let l = s + -15. Sort -2, -3, l in ascending order.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 5 + 5 - 7 - 15. Let q be r(-7). Let n(g) = g. Let j be n(q). Solve -j*v + 4 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 48 = -2*m - 0, -2*p = 4*m - 128. Let m*v**2 - v**4 - 2*v**2 - 6*v - 28*v**3 - 47*v**4 + 18*v**5 = 0. What is v?\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23 and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n + 20206 - 19630 = 8*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53020 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*c + 105, -i + 2*i + 2 = 4*c. Let k = 18 - i. Solve -2*r - 2*r = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-30)*(-1)\/(-9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 + 0*r**2 + 9*r + 0*r**6 + 0*r**5 - r**3 - 11\/42*r**7 + 0*r**4. Find the second derivative of z(m) wrt m.\nAnswer: -220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/943 and 65\/328?\nAnswer: 7544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from nnffnnnnnannanaffn.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2))**(6\/11))**(-2\/47)\/(h**13*h**(6\/5)*h*h*h)**22 assuming h is positive.\nAnswer: h**(-978104\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 82573 to the nearest 1000.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16*6\/42 - 2\/(-7). What are the prime factors of (-195)\/(k + 0 + (-3 - -4))?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 e when four letters picked without replacement from reerruererrrrreerrre?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28c9c4 (base 15) to base 4\nAnswer: -13200011323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15480 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o**2 + 39*o**2 - 169*o**3.\nAnswer: -169*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwgggwgtgwgtwwzzwtg. What is prob of sequence gt?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:02 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2061\/(-14885))\/((-24)\/(-40)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-15))\/(5\/(10\/(-4))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (4 + -4)) + (-11 - -4) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*d - 97, 0 = d - 4*d - 9. Let p = r - -17. Let n be (8\/15)\/(2\/3). Is p greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 3 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 290 - 284.89. Let g = n + -0.11. Let r = -0.4 - 0.1. Which is the third smallest value? (a) g (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1381.07346511271 and 0.5.\nAnswer: -1380.57346511271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1216 divide 3823919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**2*v**3 - 33*k**2 + 96*k*v**3 + k*v wrt k?\nAnswer: -8*v**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 14*v - 12. Suppose -4*w - 5*y + 52 = 0, -2*w + 0*y - 2*y + 28 = 0. Let r be p(w). Calculate the greatest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9961*d**6 - 13*d**5 - 6*d**3 + 9094521*d**2?\nAnswer: -1195320*d**3 - 780*d**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -166 divided by 3\nAnswer: -166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bju when three letters picked without replacement from ubj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10249289*g**2 - 1156709?\nAnswer: 20498578*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1048, -4102, -9210, -16396, -25684, -37098, -50662?\nAnswer: -66400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 2. Let a be w(2). Suppose a = 3*o + o - 16. Let m be (-29)\/(-1) + o\/(-4). Round m to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -591 + 1154. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 830, 928, 1026, 1124, 1222?\n\"Answer: 98*r + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1101110110?\nAnswer: 1101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/((-1)\/105*-5). Suppose -2*j + 32 = -u + 5*u, -4*u = 3*j - f. Let v = u - -29. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v. Let h(r) = -13667*r - 1. Determine x(h(i)).\nAnswer: 136670*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1124892139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14773 + -1?\nAnswer: 14772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-578)\/90 + (-6)\/(-27). Let d = -73 + 80. Suppose 12*l - 17*l + d = -2*z, -14 = 2*z + 2*l. Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**4\/3 + 32*z**2. Let k(j) = 15*j - 11. Let g(r) = 3*r - 2. Let w(q) = -11*g(q) + 2*k(q). Give c(w(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z**4 + 0*z**4 - 10*z**2 - 11*z**2 - 11 + 16*z**4 + 74*z**2 as i*z**4 + l + h*z**2 + o*z**3 + y*z and give h.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let c be (-1 - -2)\/1*l. Is 1\/(-3*c\/885) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7840 divided by 1568?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 = 78*u + 3*n, -5*n = -2*u + 104 - 139 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280464, -560930, -841396?\nAnswer: -1121862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -773*d - 107. List the prime factors of p(-2).\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:37 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47131 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1115 + 641. Let i = s - -477. What is the second biggest value in -0.1, 0.3, 1\/85, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185437*n**5 - 840*n**3 - 848480821*n?\nAnswer: 3708740*n**3 - 5040*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10028 + 4457 = -331*j - 3441 + 714 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/80*6)\/(3\/96)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*((-24)\/70)\/(6\/15). Let q be (42\/i*-2)\/((-1)\/46000). What is q rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4 + 343*k**3 + 172*k - 2 wrt k?\nAnswer: -24*k**2 + 2058*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + 19. Let k = 906797\/11 + -82361. Let g = q - k. What is the smallest value in 0, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 19. Suppose -i*w = -8*w + 350. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 3*z - 2. Let t(x) = x + 1. Let r(f) = 2*k(f) + 5*t(f). Let q be (2 - (-27)\/(-12))\/(2\/(-16)). Calculate r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 19 + 7 = 4*b, -2*u = -145*b + 298 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40199 + -4?\nAnswer: -401a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 393377938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 30 - (0 + 10)) + (0 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11580*w = 11579*w - q + 13, 113*w - 1133 = -q for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 682 - -146?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 34*r + 83. Let d be s(-13). Let l = d - -580. Is 62 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = -4*g - 4, 2*f + 28 = 5*g. Let a = f - -8. Suppose 2*h = -3*j + 175, 4*j - 127 = -a*h + 113. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*h - 40, 0*r = -5*r + 4*h + 45. Let n = r + 2. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 54 + 6*i**2 + 0*i**2 + 8*i + 44 - 29. Is x(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r. Let b(o) = o**2 + 11*o - 6. Suppose 36*q = 37*q - 1. Let f(w) = q*b(w) - 5*k(w). Let a(d) = d**2 - d + 1. Give 5*a(u) + f(u).\nAnswer: u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k**2 - 12 - 22 - 18 + 1214*k**3 + 52 + 39*k**2.\nAnswer: 1214*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/((-39)\/(-9) - 4). Solve 4 = -b + 2*t + 3, -b - x*t = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -297 + 1487\/5. Determine d so that -1\/5*d - 1\/5*d**4 - 1\/5 + x*d**3 - 1\/5*d**5 + 2\/5*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256b (base 15) to base 6\nAnswer: -100532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**3 + 3*j**2 + 18*j - 53. Let i be b(3). Are i and -114 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -16.8. Let c = x + -15.9. Let l = c - -0.012. What is l rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 less than 0.64?\nAnswer: -29.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1*0\/1. Suppose 0 = -23*x + 22*x. Are x and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*b - 17. Let w be (-4)\/18*b - 602\/(-42). Let j be w\/(-12) - (-1770)\/8. What is j rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(1088) - -2*(-1 + sqrt(1088) + sqrt(1088)) - -2*(sqrt(1088)*1 + sqrt(1088) - sqrt(17))*-4)**2.\nAnswer: -624*sqrt(17) + 183881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533677 is divided by 69.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 22*w**2 + 26*w - 35. Let h be c(23). What is the greatest common divisor of 4556 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3926.999995133 + 3927. What is f rounded to seven dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1474*s**4 - 2*s**3 - 14*s - 106990 wrt s?\nAnswer: 5896*s**3 - 6*s**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59111 and -0.1.\nAnswer: 5911.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i + 33 = -54*i - 2*x, 5*x = -3*i - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2734 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r*r\/(r*(r**(-1\/10)*r)\/r)))\/((r\/(r*r\/(r*(r\/(r*r*r**5))\/r)))\/r))**44)**17)**(-42) assuming r is positive.\nAnswer: r**(-1240932\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -n + 28, 0*n + 3*n - 3*t - 39 = 0. Solve -3*p + 10 = -n*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -179 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-294)\/686 - (-8)\/(-14). Let r(n) = 69*n**2 - n. What is r(j)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10108 + 10132 + (-508)\/18 + 2?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/z)**(43\/2)*(((z\/z**0)\/z)\/z)**27)\/((z\/z**0)**(-46)\/(z\/z**1*z)**47) assuming z is positive.\nAnswer: z**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 187\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 80 = 184. Suppose 3*d + 2*r = -66, -4*d + d - t = -5*r. Let i = d - -24. Solve -2*u - 2 = 2, 5*f + i*u + 29 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*s - 3*b, b = 3*s - 0*s - 41. Calculate the greatest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 - 5 - 46 = 5*w. Solve 0 = w*m - 100*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + 27. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u - 15*u - 36*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 9*t + 12. Let s(g) = g**2 + 7*g. Let z be s(-5). What is the tens digit of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 6*l - 36. Give s(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by (-8 + (-54)\/(-9))\/(4\/(-42))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 16 + 20. Suppose -12*q + 90*q = -107*q + 13135. What is the remainder when q is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74576 and 2816.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -74 and -64 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*t = 704, -l - 707 = 3*l - 5*t. Let b = 267 + l. What is the remainder when b is divided by 6*(-64)\/(-60)*5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 21. Let o(t) = t**3 - 25*t**2 + 23*t + 28. Let l be o(24). Put q, -3, l, -2 in decreasing order.\nAnswer: l, -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903 and 37184.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbbqbq. Give prob of sequence qqb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**12\/k)**13)**(-4\/11) assuming k is positive.\nAnswer: k**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -18*p - 6. Let y be c(4). Let o = -80 - y. Let r be (-2)\/9 + (-3)\/9. Is r bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, h: 5, y: 2, o: 2}. Give prob of picking 1 y, 2 j, and 1 h.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3352560*l*w**3 + 3*l*w**2 - w**4 - 11690414*w**2 + 1 wrt w.\nAnswer: 20115360*l - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 320, 319, 324, 341, 376, 435, 524, 649?\n\"Answer: r**3 - 3*r**2 + r + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - x**2 - 3*x**2 + 3*x**2 - 2*x**2 + (-1 + 1 - 1)*(0*x**2 + 0*x**2 + 5*x**2) - 7*x**2 + 10*x**2 - 3 + x**2 to f*x + z + u*x**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 15 = 4*v. Let n be (-12)\/9*v\/(-1). Suppose 3*u + 4 = 7*u. Which is the nearest to u? (a) -0.2 (b) n (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 16*y - 23. Calculate the remainder when l(4) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311465520 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/4 - 143*r\/2 + 20449\/4 = 0. Calculate r.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 26. Let t(a) = a + 5. What is the remainder when u is divided by t(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/((-815)\/90 - -9). Suppose 0 = -p*b + 27 + 141. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = -5. Let o(y) = 3*y - 4*y - 6 + 8 + 8. Is o(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/2534 and -51\/49.\nAnswer: 17738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*a**2 + 30*a**2 - 3*a**3 - 59*a**2 + 0*a**3 to s*a**2 + h*a**3 + y + m*a and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 - 1299 = 53*j. Suppose 4*w + 240 = -w. Does 14 divide (j\/w)\/(1\/116)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8046 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v, -7*v = -5*g - 3*v - 184. Sort -3\/4, g, 2, -3 in ascending order.\nAnswer: g, -3, -3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3\/5 - 46628*n**2\/5 - 62144*n = 0.\nAnswer: -15536, -20\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 9:14 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -0.3 (c) 0.4 (d) 2 (e) -2443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 13. Let g(h) = -4*h + 18. Let p(o) = 4*g(o) + 5*y(o). Let v(t) = -t + 6. Let s(m) = -6*p(m) + 7*v(m). Let c(n) = 158*n**2. Calculate c(s(l)).\nAnswer: 158*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 22815709*t\/3 + 45631414\/3.\nAnswer: (t - 22815707)*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-753)\/(-12) + (10\/(-8))\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:17 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -33*c - 70. Let u = c + 14. Solve -7 = s - u, -2*s = 2*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -1.3. Which is the closest to k? (a) 4 (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {d: 1, n: 5, m: 1, h: 2, g: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118 + 2*f**3 - 3*f**2 + 149 + 8*f**2 - 261 - 12*f to o*f**3 + u*f**2 + y*f + w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvtvvavvtav. Give prob of picking 2 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + f + 4*y - 33 = 0, 293*f - 889*f + 294*f + 298*f - 3*y = -51 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100011001111101 (base 2) in base 11?\nAnswer: -1a4147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 39. Solve -k - 5 = -b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - (7 - 8))*-164 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-230)\/(-26) - (-188)\/1222) + -32?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674582, -674564, -674528, -674468, -674378, -674252, -674084, -673868?\nAnswer: -673598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 28, 19, 10, 1, -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -2*g - 20, -3*g - 13 = 2*y + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*m = -156*m + 90*m - 193*m + 40704 for m.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -0.5 (c) 10 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwizzizuuiwhh. What is prob of sequence wh?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 1620\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -261*r. Let l(g) = -3*g + 10104. Give z(l(b)).\nAnswer: 783*b - 2637144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2060 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66659 and 3490?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53738, -107513, -161302, -215111, -268946, -322813, -376718?\nAnswer: -430667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*q + 130*q + 6846 = 0. Is 330 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/(8\/22)). Let p = 136 + -1226\/9. Suppose 263*j = 312*j. Which is the nearest to p? (a) -1\/2 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228.878 + -229. Let l = 19.678 - f. What is l rounded to 0 dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 40*p - 10. Let m be n(-16). Let i = -260 + m. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3774469.\nAnswer: 3774469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**2 + 4*k + 52. Let j be u(0). Solve -123 = 11*g - j*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1729911 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21*f**2 - 36*f**2 + f - 5*f + f. Let a be y(-3). Does 30 divide a\/(-2) + -2 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217190773 and 3364?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079963 less than 0.2?\nAnswer: 0.120037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 35 - ((-6 - -4) + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9*t = 1 - 19 - 18, -312*t + 5 = 14*r - 311*t + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/21 - 94*j**2\/21 + 100*j\/3 - 608\/21.\nAnswer: 2*(j - 38)*(j - 8)*(j - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 30, -2, 45\/62, 0.2?\nAnswer: 45\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25898 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2628 divided by -9\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d - 3\/8*d**4 + 0 - d**2 - 1\/6*d**3. Is g(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5147 = -559*s + 211*s + 3901 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*w = 51*w + 10296. Solve -18*t = -56 - w for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 25*f**2 - 4*f + 7. Let k(u) = -12*u**2 - 14*u**2 - u**3 + 2*u**3 + 0*u**2 - 7 + 4*u. Let w(q) = 6*i(q) + 5*k(q). Is w(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6745, 6766, 6849, 7012, 7273, 7650, 8161, 8824?\n\"Answer: 3*s**3 + 13*s**2 - 39*s + 6768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1265.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/6)\/((-2)\/(-3)). Let u = -17540 + 17539.7. Which is the closest to 1\/12? (a) 3\/8 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15798347 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (20\/8)\/((-2)\/(-12))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*d**2 + 1)*(4*d + 70 - 156 + 84) in the form b*d**2 + q + y*d + n*d**3 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1217 - 2*t + 603 - t + 614.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3488 and 0.44.\nAnswer: -3487.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Let m(w) = -4 + 0 - 1 - w. Let k(d) = d - 1. Let h(o) = 4*o. Let i(a) = -h(a) + 3*k(a). Let s(y) = 5*i(y) - 3*m(y). Give s(n(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1038 + -3731.\nAnswer: -4769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuudnnunfnfdffu. Give prob of sequence dndu.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -288770 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:47 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1984)\/6944 - (-100)\/399.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/29 (b) -1 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13124227?\nAnswer: 13124227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -3, 8.7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(-12)\/60 - (-3)\/(-5). Put 439, -3, d in increasing order.\nAnswer: -3, d, 439","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f. Let u(o) be the third derivative of o**5\/12 - o**4\/24 - o**3\/6 - 4*o**2. Let t be u(-1). Solve 0 = t*g + m - 15, -g + f*m = -4*m - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*a - 24*a - 15*a**3)*(3 + 2 + 0) + (-5*a**2 - a**2 + 4*a**2)*(-2*a + 4*a - 5*a) + a + 2*a**3 - a to the form f*a**3 + p*a + o + h*a**2 and give f.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1.7, -2\/7, -2\/919, 2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/176*(-4448)\/(-24603).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 9*w + 15. Let j be 6\/(-5) + -2 - w. Put -0.4, -9, j in decreasing order.\nAnswer: j, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184923237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 5*j, 4*q - 18658 + 18698 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-24)*2)\/((-310)\/(-80)). What is the nearest to -0.3 in 0.4, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 234 - 533 + 1041 - 274.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161047 + 63*c**2 - 322092 + 161045.\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/(13\/(-130)). Let q(c) = -1 + 2*c**2 + 0*c**2 + 4*c - m*c + 4*c. Let n be q(-3). Which is smaller: 24\/5 or n?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/6)*z)\/z**(-2\/9)*(z*z*z**(2\/9)*z)\/((z*z\/((z*z*z**0*z*z)\/z))\/z))\/((z**6\/z*z*z)\/z**(1\/2)*(z**(2\/7))**22) assuming z is positive.\nAnswer: z**(-347\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -527 (b) 0.037 (c) 5 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 923*z**3 + 5*z**2 - 402*z - 335746006 wrt z.\nAnswer: 2769*z**2 + 10*z - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 6*h**2 - 5*h + 2. Suppose 4*g + 0 = -a + 8, 0 = 4*a - 4*g + 8. Let v be 7 + (-1 - (1 - a)). What is the units digit of o(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 166\/(-18) + (-6)\/(-27). Let k be 4 - t\/12*-4. Let l be (-319)\/29 + (-7)\/(-3 - -2). Sort l, 3, k.\nAnswer: l, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 + 401*g**3 - 12657*g**2 - 12850181*g + 51577316 = 0. What is g?\nAnswer: -283, 4, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-753750)\/(-60) + (-56)\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*3 + (6 - 0). Let f(u) be the first derivative of 0*u**2 - 4 - 1\/21*u**6 - 4\/35*u**5 + 0*u**3 + r*u - 1\/14*u**4. Find b, given that f(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60, -120, -178, -234?\n\"Answer: q**2 - 63*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 13, x: 3}. What is prob of sequence dddd?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*q**2 - 5*q**3 + 15*q**3 + 966*q**2 - 492*q**2.\nAnswer: 10*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.1 + -20.295. Let z = c + 0.054. What is z rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-4 - 6) + 3). Is z - -4778 - (2 - (2 + -3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19382295 or 19382296?\nAnswer: 19382296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a millimeter in micrometers?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.6. Let a(r) = -r**2 - 27*r + 52. Let v be a(-29). Let o be 12\/8*2\/v. Is u at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, q: 2, l: 5}. What is prob of picking 1 l and 2 q?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72)*-1 + (sqrt(72) - (1*sqrt(72) + -2 + sqrt(72))))**2 - (3 + sqrt(2) + sqrt(320)\/sqrt(10) + -3*(sqrt(2)*1)**2).\nAnswer: -53*sqrt(2) + 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -20.6 (b) -2 (c) -0.286 (d) -1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (4 + sqrt(2057))) + -5*(sqrt(17) + -1))**2.\nAnswer: -10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = j + 13*c - 62, j + 25 = 5*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*i - 8 - 530*i + 12*i**3.\nAnswer: 12*i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 - -346. Suppose 3*p - n = 142, -211 = -4*p - 12*n + 9*n. Calculate the remainder when d is divided by p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 477, 514, 425?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 7)*5\/(-2). Let c = -10 - m. Sort c, -2\/3, -2\/5 in ascending order.\nAnswer: -2\/3, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**5 - 2*q**4 + 6*q**3 + 2*q**2 - 4*q. Let n(u) = -3*u**5 - u**4 + 6*u**3 + 3*u**2 - 5*u. Let a(h) = -5*i(h) + 4*n(h). Factor a(c).\nAnswer: -2*c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4\/7 - 3820413*u**3\/7 + 7640811*u**2\/7 + 3820413*u\/7 - 7640814\/7 = 0. What is u?\nAnswer: -1, 1, 2, 1273469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 + 0)\/(((-8)\/2)\/8))\/(-6). Let x be 3\/4*2\/3. Which is the second biggest value? (a) x (b) 2 (c) h (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3787 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300 or -301?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 48. Suppose -3*g = -q + 3 + 15, b*q + 10 = -5*g. Solve -q*y + 2*h + 2*h + 1 = 0, -5*h - 4 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 2. Let l(a) = a. Let t(p) = 6*l(p) - u(p). Let m(s) = -19*s + 4. Let v = 1095 + -1084. What is v*t(q) + 6*m(q)?\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w. Let x be (-26)\/(-14) - 20\/(-140). Let s(c) = 19*c**2 - 4 + 4 - 20*c**x. Calculate j(s(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(4\/3)*j)**(-47))**(-9\/2)\/((j\/(j*j**(-1)*j))**(-8\/9)\/(((j**(-1)\/j)\/j)\/j**(-4))) assuming j is positive.\nAnswer: j**(707\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (-5 + -2*sqrt(1053))**2 + 5)*-6 + 2 + 2.\nAnswer: 1080*sqrt(13) + 25486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/9, -536\/655.\nAnswer: -536\/655, -1\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.27861656*-2.4\nAnswer: 0.668679744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + (7 - (7 + -4)) + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/9)\/(1\/(-6)))\/(197\/((-1148904)\/(-144))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*a + 19. Let k = 204 - a. What is the greatest common factor of k and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24327, -97265, -218829, -389019, -607835, -875277?\n\"Answer: -24313*l**2 + l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**5\/5 - 4*p**4\/3 - 10*p**3\/3 - 4*p**2 + p. Let j(x) = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-816)\/64 + 9\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3, 3, 1\/7 in decreasing order.\nAnswer: 3, 1\/4, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((5 - -1) + 0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5 + (61 + (-164710)\/2700)\/(1\/329)?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1064*t - 20208. Give k(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuu when three letters picked without replacement from dddaddnuukdddaadad?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 8\/11*n - 64\/11 + 2\/11*n**2 = 0?\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-3 - -3) + -1. Let i be (37 - -18) + c\/(-1). Suppose -i*w = -58*w. Put -3, w, 2 in decreasing order.\nAnswer: 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 8*z**2 - 12*z + 12. Let j be t(6). Let m be (-945)\/5*(-8)\/j. What is the highest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36073101 by 12024367.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -36*c. Calculate the least common multiple of 20 and o(-1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9647087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 2.2. Let p = 0.05 + 1.65. Let g = p - -0.3. Are q and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (2 - 8) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-4)\/(-3)*(-96)\/(-128)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 2033 in descending order.\nAnswer: 2033, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1466, -1389, -1260, -1079?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/5, 79, 0, -24\/7, 1\/7.\nAnswer: -24\/7, -0.5, -2\/5, 0, 1\/7, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from niniididdiddnssis?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -13856.\nAnswer: 1662.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + g**3 + 7*g**2 + 6*g**2 + 21*g**2 in the form m*g + s + t*g**3 + v*g**2 and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 8 (c) -2\/19 (d) 2\/7 (e) -0.1 (f) 2\/5 (g) 14\/39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-24))\/((-1)\/(-3)). Suppose -p = -3*m - 9 + 44, 0 = -4*m - f*p + 30. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40550941 and -2.\nAnswer: 81101882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/260 - 1337\/(-1715))*(0 - (1 - 2))?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/77 and -31\/275?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621081 >= 61558380\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*c + 7*c + 10 = 15*c, 0 = 4*h - 4*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 271 in -11, -0.1, -21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11151 times -0.1?\nAnswer: -1115.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (210\/490)\/(36\/14). What is the closest to -6 in -3, -0.4, b, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 750\/(-625) + (-504)\/80\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/53 in 0.5, 5, -2, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 5*f + f)*(-10 - 8 + 1)*(-3*f + 2*f - 2*f)*(4*f**2 + 0*f**2 - 6*f**2).\nAnswer: -612*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101923209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20891347?\nAnswer: 37, 269, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 749\/3 - 249. Factor -8\/9 + m*g**2 + 0*g - 2\/9*g**3.\nAnswer: -2*(g - 2)**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 3, n: 4}. What is prob of sequence lx?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -96, -64, 20, 174, 416, 764?\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2 + 1 - 10 + 7*c. Let n be f(6). What is the tens digit of 7 - -1*(5 + n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330989 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 - 140. Suppose -249 + 844 = r*f. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 288*z**4 + 48*z**3 - 766*z**2 + 530*z - 100 = 0. Calculate z.\nAnswer: -2, 5\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*(-547 + 522)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -10*o + 85. Let v be r(7). Solve 10 = -5*a + 4*a - 5*s, -4*a - v = -5*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raaraxaadkkka. What is prob of sequence kkrx?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 3\/7, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -28 (b) 4.186 (c) 0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhbt when four letters picked without replacement from {t: 6, i: 2, r: 4, h: 1, j: 3, b: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 7. Let h(z) = -6*z + 6. Let y(a) = 6*h(a) + 5*l(a). Let g(o) = 3*o**3 - o + 2. Let v = 251 - 252. Calculate v*y(n) + g(n).\nAnswer: 3*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -105101?\nAnswer: 105077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-34)\/(-4))\/(7\/(182\/(-13)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -25*y**2 + 13*y - 13. Let h(x) = -2*x**2 + 6*x - 6. Let m(c) = -6*c**2 + 15*c - 15. Let u(w) = 12*h(w) - 5*m(w). Calculate 2*d(f) + 9*u(f).\nAnswer: 4*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/6 - 13683\/(-4)) + 12\/(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10043605 and 45375?\nAnswer: 753270375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {n: 2, e: 1, r: 1, y: 1, u: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:32 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2648 divided by -662.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 15. Let j be l(5). Suppose -j + 2 = -2*s. Let q = -9 + 17. Solve -3*v + 2*y + 21 = -q*v, 2*v + 18 = s*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (-23 - -8)*1782\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*h - 4176 = -80*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5679 is divided by 316?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12568 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -81*v. Let n(y) = 78*y**2 + 67640 - 67640. Determine c(n(k)).\nAnswer: -6318*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -10 - 2. Suppose s + 5 = z. Let p be (s\/6)\/(1\/(-2)). Is 0 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/(-44) - (-1 + -4).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -196\/11, 0.2, -4, -2633\/2, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*s = 6*r - 37, -r + 5*s = 22. Suppose 3 - 12 = -r*b. Suppose 7*l = b*l. Let w(c) = -c**3 - c**2 - c - 8. Calculate w(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d + 0*d + 2*d**2 - 2*d + 0*d. Let h(k) = 4*k**2 - 13*k. Let o be ((-6)\/12)\/((-2)\/24). Calculate o*h(c) - 13*v(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -1\/2*m**5 - m**3 - m**2 + 3\/2*m - 1\/2 + 3\/2*m**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 16. Suppose 6*l = 5*g + 3*l + 14, 2*l = 4*g + 12. Let o(w) = -w**3 - 5*w**2 - 6*w. Let b be o(g). Calculate the greatest common factor of b and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4959, -4960, -4961, -4962, -4963?\nAnswer: -4964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 97 = -233. Let d = i + -18. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3175\/4 - 187137\/236. Let q = -2\/24411 + 13563\/16274. Calculate the common denominator of q and d.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145.5 + 139. Let x = 7 + 1. Let y = x + c. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11333175 - 577*g - 11333175.\nAnswer: -577*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516239, 516234, 516211, 516158, 516063, 515914, 515699?\nAnswer: 515406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/498, -1, -5?\nAnswer: 1\/498","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(128) + 0 + -2 + 4))**2.\nAnswer: 800*sqrt(2) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 4:26 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -825*y**2 + 45 - 44 - 1889*y**3 + 329*y - 329*y wrt y?\nAnswer: -11334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/60 - m**4\/24 + m**3\/3 + m**2. Let q be z(3). Let s be (q\/8 - -1)*-4. Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 168 + 21 = 0. Suppose 0 = -6*x + f + 27. Let j(i) = 12*i - 20. List the prime factors of j(x).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 - (-13)\/22. Suppose -5*d = -9*d. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*m - 178 + 178 - 357*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 304, 1014, 2382, 4624?\nAnswer: 7956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-33)*(-936)\/(-56160).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 * -0.8632.\nAnswer: -1.64008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (45\/100)\/(-9)*2\/6*5160\/(-1376)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -30, 0, -2\/7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -26. Let c be (2\/12)\/(9\/s). What is the smallest value in 4, c, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from cncc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*a + 5*a. Let h(n) = -3*n - 18. Let q(y) = -16*y - 2. Calculate the remainder when q(-5) is divided by h(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + 17 + -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 5)*(0*h + 3*h - h) + 82*h - 229*h - 133*h)*(1 - 2 + 3) to b*h + c and give b.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-4 - -4) + -6 - -3) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0225, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -59, 3, -5 in descending order.\nAnswer: 3, 0, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662312?\nAnswer: 2, 3, 69263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 396 - 70. Suppose 5*t + m = 4*y, 3*t - 45 = -2*y + y. What is the highest common factor of y and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005329 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 206898168 + 0.01.\nAnswer: 206898168.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 15, -12, -1 in increasing order.\nAnswer: -12, -1, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1\/7 (c) -489 (d) 2 (e) -25\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (15 - -1) - 41.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25768, 26753, 29430, 34645, 43244, 56073?\n\"Answer: 141*q**3 - 2*q + 25629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25148 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17120710*l**3 - 25933922*l**2?\nAnswer: -102724260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 7. Let t be v(-5). Suppose t = -3*a + 14. Suppose -z = 3*x - 3*z - 12, 3*z = a*x - 17. Solve -21 = s + 4*y, 2*s - 3*s - 11 = x*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21739 is divided by 160?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(2*d**4 - 3*d**2 + 3*d**2) + 2*d - 2*d + 2*d**4 - d**4 - d**4 + d**4 + (4*d - 4*d + 2*d**2)*(-2*d**2 + 5*d**2 - 5*d**2).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a factor of 359945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*a + 15. Suppose b - 264 = a*b. What is b rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*x + 122*x - 960. Find the common denominator of 3\/(-4)*x\/54 and 70\/24 - (-1)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326183 + -5.\nAnswer: 326178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -80.28004 from 111.1147.\nAnswer: 191.39474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0 + 1\/120*d**5 - 1\/4*d**3 + 0*d - 1\/24*d**4 + 23*d**2. Suppose s(g) = 0. What is g?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 6*s - 3. Let i(a) = -2*a**2 + 5*a + 2. Let q(p) = p**3 + 5*p**2 - 7*p + 3. Let r be q(-6). Suppose r = -3*k - 3. What is k*i(v) - 3*z(v)?\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 2827.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:54 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddqmlom. Give prob of sequence old.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -4 (c) -2 (d) -9 (e) 1\/119 (f) -6\/7 (g) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13991, 26745, 39545, 52415, 65379, 78461, 91685?\n\"Answer: 4*u**3 - u**2 + 12729*u + 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 757.\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*(1 + 0))\/((-24)\/40). Let k be 1*(1 - 2)*27. Put k, b, 2 in descending order.\nAnswer: 2, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255983*v = 255910*v + 2993 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1136600 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o - 6. Let j(s) = -5*s + 2. Suppose 0 = -4*g + 4*c - 20, 2*g - 2*c = 2*c - 14. Determine g*u(d) - 10*j(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v, -5*l - 2*v + 49 = -24. Let r = -59 - -84. Calculate the remainder when r is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43789, 43787, 43785, 43783, 43781, 43779?\nAnswer: 43777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -0.1, 0.5, -40, 1.21.\nAnswer: -40, -4, -1, -0.1, 0.5, 1.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 smaller than 25.286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*-2 + -1*-1*sqrt(153))\/(sqrt(63)\/sqrt(175)*-3).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(1872) - (-2*sqrt(1872) + sqrt(1872))) + sqrt(1872) + sqrt(1872) - sqrt(1872) - sqrt(1872)) - 6*(-1 + sqrt(1872) + sqrt(1872)))*5 + 3)**2.\nAnswer: -15840*sqrt(13) + 749889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 204*i**2 + 214*i**2 + 9 - 6 - 420*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096267530 a multiple of 3590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:23 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 61, 137, 243?\n\"Answer: 15*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 714?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(3 - 1 - 1)*(4 - 1 + 1 + (0 + 0 - 2)*(-2 - 1 + 1) - 1 - 13 - 5)*(3*c - 3*c - 2*c).\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12866, -12865, -12864, -12863, -12862?\nAnswer: -12861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41420639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -416, -655, -990, -1421, -1948, -2571?\nAnswer: -3290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*l, -4*l = 3*j + l. Suppose j = 6*m - 5*m - 3. Suppose -m*w + 25 = 19. Solve -x = 3*x + 3*n + 3, w*x - n = -9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3805*b*w**3 - 3608*w**3 wrt b?\nAnswer: -3805*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 24 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31930621, -31930618, -31930615, -31930612, -31930609?\nAnswer: -31930606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -248 or -236?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 4*c - 5. Let g be u(-4). Let f be (220\/(-36))\/g - 1. What is the second biggest value in 3, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 12568?\nAnswer: 5\/12568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 869 - 620. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdfu when four letters picked without replacement from eefezueezeuffzzdef?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*f + 4*v + 36, -39 = -3*f + v. Let q be 2\/30*5*15. Sort f, -2, q in descending order.\nAnswer: f, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.2, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**3 - 5686542*b**2 - 444253*b - 184.\nAnswer: -30*b - 11373084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 37. Let p(x) = 2*x**2 + 22*x - 29. Let k be p(-13). Let m be o(k). Differentiate -a**2 - m*a**2 + 20 - 2*a + 6 + 0*a**2 with respect to a.\nAnswer: -30*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v + 209 + 143 = -18 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/24)\/(10\/80*-4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4 - 4)*(2 - 3 + 0) - n - n + 0*n + (-4 + 4 - 3)*(-50 + 50 - 14*n).\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/(n**15\/n) assuming n is positive.\nAnswer: n**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -682 + 681.96. What is the closest to -0.1 in 1.9, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -1 (b) 5 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 - 5*i**2 + 4*i + 17. Let z(t) = -t**3 - t**2 + t. Give c(d) - 4*z(d).\nAnswer: d**3 - d**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 4 (c) 0.3 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 - 4652*b**3 + 5419571*b**2 - 21617848*b + 16202928 = 0. Calculate b.\nAnswer: 1, 3, 2324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 - 8 = 0, 0 = q + n - 317. Is 45 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, l: 3}. What is prob of sequence lsss?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24\/13 + -202\/39. Find the common denominator of k and (7 - 0\/(9\/3)) + (-14200)\/2160.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/74 and (-441)\/240 + 4\/10.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-99 - (-96 - 63)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t**2 + 89*t - 6. Determine p(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)\/(x*x**(-2\/23)))**(-9)*x\/((x\/(x\/x**0*x))\/x*x)*x**(2\/3)*x**(-4)\/(x*x*x\/(x*x*x*x**(-5))) assuming x is positive.\nAnswer: x**(-592\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**18\/q*q**(-9))\/(q\/(q*q\/(q*q**(-3\/10)*q)))**(4\/9) assuming q is positive.\nAnswer: q**(346\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 14) in base 9?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1948505 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/5 - 32712*d**2\/5 - 1013111*d\/5 = 0. Calculate d.\nAnswer: -32681, -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwohwhoohwwwhhhow. What is prob of sequence hh?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 43. Let h = 33 - 15. List the prime factors of 114\/(-2)*r\/h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-21) - 72\/(-14). What is the nearest to -4 in 0.5, 4\/7, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58326 is divided by 3229?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - 13. Let d = z - -53. Let m = d - -60. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37841466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by 21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 85*a**2 - 5*a - 8. What is the hundreds digit of g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 17 + -6)*1\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.14 at least as big as -2.79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + l)*(-4*l + l + l) - 2*l**2 - 2*l**2 + 2*l**2)*(-245 - 238 + 455)*(-2*l + 0*l + l).\nAnswer: -112*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57868165709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**4\/24 + 47*a**3\/6 - 2*a**2 + 2326*a. Let t(z) = 8*z. Determine t(c(r)).\nAnswer: -8*r + 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.44475853449985 and 0.1?\nAnswer: 1.34475853449985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 + 0 - 6*h**2 - 216*h**3 - 3*h + 219*h**3 in the form c + t*h**3 + f*h**2 + g*h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - c**2 - 1. Let h(v) = v**3 - v**2 - 1. Let p be 15\/(-6)*-2 - (2 + 2). Calculate p*j(l) - h(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30761 divided by -552?\nAnswer: 30761\/552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2478019\/460 - 5387. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 12. What is the lowest common multiple of 18 and h(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 332 - 144. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*i - 7*i. Suppose 0 = -0*z + i*z - 80. Suppose 37*q + 117 = z*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 - -0.07. Let o = -0.12 + c. Let g = o + 0.06. What is the closest to 2 in 1\/2, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**5\/60 + m**4\/8 + 5*m**3\/3 - m**2. Let r = 12315 - 12311. Give v(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:04 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -8, 2\/95, 0.2 in descending order.\nAnswer: 0.2, 2\/95, -8, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.841773ng?\nAnswer: 0.000000007841773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4548792 divided by -8?\nAnswer: 568599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + i + 1. Let d(t) = -22*t**3 + 4*t**2 - t - 4. Determine d(g) + 4*o(g).\nAnswer: -22*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 34 = 4. Let h be (-1)\/((-15)\/(-55))*v. What is the derivative of -19 + 32*b**2 - h + 18 - 15 wrt b?\nAnswer: 64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92911 (base 10) to base 14.\nAnswer: -25c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.1, 57, 147, 1\/19, 1\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7008 - 3*n**3 + 2329 + 2327 + 0*n**3 + 2352.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3 + 14500*o**2 + 29012*o + 14508 = 0.\nAnswer: -1, 3627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u = 0. Suppose 4*i = -p + 3*p + 34, 3*i = 2*p + 26. Suppose -3*z = -2*a - 27 + i, u = -5*z + 5*a + 30. Solve -z*l = -4*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/15)\/(4\/(-42)). Is 20\/(-6)*(-17 + 4 - n) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.13 (b) -2.5 (c) 1298 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 4, h: 6}. Give prob of picking 1 y and 1 h.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -23, 2, -2\/9, -8\/3, 8\/75?\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = -165, 2125*j = 27*x + 2128*j + 72 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 2*n**2 - n**3 + 3*n**2 - 6 + 2*n**2 + 9*n. Does 12 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 746 + -746.2. What is the nearest to 13 in g, -0.5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9783975 years?\nAnswer: 0.009783975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*b - 100 = 56, 4*b = 20. Let q = -43 - l. Put 0, q, 3, 4 in increasing order.\nAnswer: q, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3356*j + 1464*j + 2869*j - 318108 = 1197*j for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/10 and 7\/486.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1232, -1233, -1234?\nAnswer: -1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 105.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(72) + sqrt(72) - sqrt(72)) + sqrt(72) - sqrt(72))**2 - (-1 + sqrt(10)\/(sqrt(5)*-1)).\nAnswer: sqrt(2) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2697*j**3 + 84*j**2 - 2697*j - 84 = 0. What is j?\nAnswer: -1, -28\/899, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**2 - 20*l + 16*l**4 - l**3 + 3*l**2 + l**2 wrt l?\nAnswer: 192*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -36098, 0, -4 in ascending order.\nAnswer: -36098, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2094 - 2094. Put 1, s, 51, -3 in decreasing order.\nAnswer: 51, 1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p + 38. Let l be s(4). Let z be ((-1)\/2)\/(0 + l\/(-48)). Suppose 8*x = z*x - 40. Solve -b = b - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 8. Let w be i(7). Let v = w - -12. Is 3 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -74?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 5*j - 25, -763*w - 46 = -759*w + 22*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5430*l**2 + 16279*l**2 - 5424*l**2 - 5427*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/360 - d**5\/120 - 3*d**4\/8 - 2*d**3\/3 + 2*d**2. Let g(s) be the first derivative of p(s). Is g(9) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7351 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*b - 49. Calculate the remainder when 683 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4312355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10936.8 - -11420.59. What is d rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, c: 8, p: 1, y: 5}. Give prob of picking 1 k and 1 y.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 31 + 13. Suppose 0 = 3*j - 6 - m. Suppose 2*i - 2*s - j = 0, 3*s + 11 = -5*i + 47. What is the smallest common multiple of 5 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, f: 2, x: 4, q: 1, l: 3}. What is prob of picking 2 l, 1 x, and 1 f?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19814\/44473 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30282579 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (16 + 2 - (5 + 0))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 2*m**2 + 0*m**2)*(-3*m**2 + 3*m**2 + m**2) - 29*m**4 + 602*m**3 - 318 - 604*m**3 + 321.\nAnswer: -30*m**4 - 2*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.9 + 52.93. What is the nearest to 7 in -1\/6, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-14) + (-10)\/(-35). Let j be (n - 212\/180)*5. Let v = -19\/18 - j. Is 7 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.578 + 244.578. Let n = l + -244.0194. What is n rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 275. Let z be c(0). Suppose -12872 = 19*y + 5672. Let q = z - y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204534 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 4*o + 9. Let p be m(-4). Let f be (-14)\/63 - (-965)\/p. Is 106 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 22. Let o(l) = 4*l**2 - 1. Let g be o(1). Suppose -2*a = -g*a. What is the units digit of j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*c - 5. Let u(i) = -3*i**2 - 2. Let p(s) = 9*s**2 + 7. Let l(x) = c*p(x) + 7*u(x). Let n(m) = m**2. What is l(n(t))?\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 5*v - 12, 5*y = -5*v + 3*y + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 3*y - 6. Let n be x(6). Suppose 0 = -2*q + 5*v + 27 - n, -4*q + 21 = -v. Solve -q*f + 13 = -2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 20*v**3 + 26*v**2 + 3*v + 8. Let g be h(4). Suppose -607*x + 613*x - g = 0. List the prime factors of x.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*x - 30*x**2 + 28*x + 202 - 12*x + 2 wrt x.\nAnswer: -60*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 4*u**2 - 5*u**2)*(-4*u**2 + 5*u**2 - 2*u**2) + (-5*u**2 + 15*u**2 + 4*u**2)*(3*u**2 + u**2 - u**2) - 3065 - 132*u**4 + 3065.\nAnswer: -88*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -10110?\nAnswer: 4044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 5*g + 100. What is the remainder when g is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(63)\/sqrt(7)) + (3 + sqrt(448) - sqrt(448))**2 + 2.\nAnswer: sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -104 - -1 - 1. Let y = 75 - c. Suppose -w = 3*z - 236, -2*z = 3*w + 22 - y. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5725 + 14690. List the prime factors of j.\nAnswer: 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 2, -4, 0.7, -238, -21.7?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -236, -471, -706?\n\"Answer: -235*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 605*i - 18266. What is d(37)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -6. Do -3 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 6. Let l(d) = 20*d**3 + d**2. Let y be l(z). Let x(k) = 30*k + 307. Let h be x(-10). Calculate the highest common divisor of y and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 + 14 = 0. Suppose a - z = f - 5, 4*f = a + 22. Solve 0 = -x - y - y + 1, 2*x = -2*y + f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 415 + 425 = 0. What is the highest common factor of f and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -11. Let m be j\/(-10) - 1\/(-5). Solve -1 = 2*d + m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 275?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*z - 25*z + 32*z)*(4 + z**3 - 4).\nAnswer: 63*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 9:47 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 6*f + 4. Suppose 0 = -3*a + 8 + 1. Suppose -12 = 2*h + 2*h - 4*d, 16 = -2*h - a*d. What is the units digit of v(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u - 4 = -2*l, -u + 3*l = -11. Suppose 6 = -2*a - 3*h + 28, -24 = -4*a - h. Solve -a*g - u*y = -21, 0 = -5*g + 2*y + 3*y + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(500)\/(sqrt(30)\/sqrt(3)) + 5*(1 + sqrt(2))*-5 + 4).\nAnswer: -120*sqrt(2) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 3460*r**2 - 92224*r - 1601472.\nAnswer: 2*(r - 38)*(r + 12)*(r + 1756)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -29771 = -5722*r - 176348 - 282573 for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.067? (a) 0 (b) -5 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2092a8 - 11?\nAnswer: 209297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + -3*(-2*sqrt(448) - sqrt(448))) - (-5*sqrt(448)*3 - (4*-3*sqrt(448))**2).\nAnswer: -312*sqrt(7) + 64542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3278342 to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -63223*-0.0237\nAnswer: 1498.3851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**2*h**4 + 8*b**2*h - 18*b*h**4 - 4*b*h**2*v - 3*b*h*v - 5*h**3*v - 8*h wrt h.\nAnswer: -120*b**2*h - 432*b*h - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + (-561)\/(-153). Let n(x) = x**2 - x - 4. Calculate n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.92 * 47982\nAnswer: -92125.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/((-50)\/125)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-10) - (25060\/(-120))\/179\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -116*b. Let n(a) = 4085*a**2 - 2*a - 3. What is u(n(y))?\nAnswer: -473860*y**2 + 232*y + 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -71611*p + 2792843. Give b(39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 24 = -0*a. What is the second derivative of 6*s**a - s**3 + s**3 + 15*s + 6*s**3 wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1831097 + -2\nAnswer: -1831099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/1035 + -50723\/4140. Calculate the common denominator of -171 + 150 + (-27505)\/(-1050) + -6 and l.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010100001101011101 (base 2) in base 6?\nAnswer: -11220513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 5, t: 7, h: 5}. Give prob of picking 1 t and 1 e.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 545115 (base 7) to base 8\nAnswer: 272267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 2\/13, 12, 36?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111001100 (base 2) in base 6?\nAnswer: -15340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.1, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852864 is divided by 3676?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 247 - 14?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**6\/14 - 3*m**5\/20 - m**4\/14 - 7*m. Factor n(o).\nAnswer: -3*o**2*(o + 1)*(5*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/60 and -89\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50080026 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -194?\nAnswer: 3686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38220112 a multiple of 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1840*h + 14583 - 36720 = 25703 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864\/5 - 2\/15*l**4 - 368\/15*l**2 + 768\/5*l - 64\/15*l**3 = 0 for l.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1620 is divided by 538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 3*f - 5*a, -5*f + 91*a = 90*a + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-660)*1)\/(8*(-1)\/(-48))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -465*d - 10737. What is v(-23)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -3*c**2 - 7*c - 2. Calculate the least common multiple of w(-3) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {f: 4, j: 2, h: 7, i: 2, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-11)*(n*(n\/((n*n**3)\/n))\/n)**(-3\/29) assuming n is positive.\nAnswer: n**(343\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0112 - -2.0112. Sort v, 4\/9, -1\/8, 0.5 in ascending order.\nAnswer: -1\/8, 4\/9, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 6. Let k be 2\/(-6) - 20\/3. Let u(x) = 15*x - 12. Let l(v) = k*c(v) + 4*u(v). What is the first derivative of l(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttttttttttttppttttt. Give prob of sequence pttp.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72 + -a?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 256, 5, 2, 6 in decreasing order.\nAnswer: 256, 6, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:51 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*a - a**3 - 45*a**2 - 162*a + 87*a - 2*a**3 as k + b*a**2 + s*a + u*a**3 and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 11*v + 15*p + 3, -v + 2*p - 7*p - 3 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 2 = -15*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8848 * 0.4.\nAnswer: -3539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-7)\/(-3))\/(136\/1020).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 - 29*b**2 - 216*b - 324 = 0. Calculate b.\nAnswer: -18, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 167, 3\/11, 0.4, -5, -0.5 in descending order.\nAnswer: 167, 0.4, 3\/11, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(162)\/sqrt(6)*1)\/(sqrt(9) - -6*4*sqrt(9)).\nAnswer: sqrt(3)\/25 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5\/x)\/(x**20*x))\/(x**(-2\/15)\/(x**(-1\/42)\/x)) assuming x is positive.\nAnswer: x**(-3757\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/7)\/4*1\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42 - (0 + 1)) + 1. Let r = 117 - d. Suppose -y + r = 4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-5) - -1)\/((-5)\/15). Let l = -3.3 + 3. Let r = -0.2 + 4.2. What is the second smallest value in l, r, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ceeh when four letters picked without replacement from {v: 1, d: 2, c: 2, i: 1, h: 1, e: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 n when three letters picked without replacement from ggkgtgngk?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80717382 to the power of 1\/2, to the nearest integer?\nAnswer: 8984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37509188413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 2685 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2\/17, -21\/5 in descending order.\nAnswer: -2\/17, -1\/5, -21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. What is the tens digit of ((-18)\/b)\/((-3)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2613646282.\nAnswer: 2, 13, 67, 1500371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 270059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1329992.7 - 253168.\nAnswer: -1583160.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**7\/63 + 56*q**6\/15 + 83*q**5\/5 + 248*q**4\/9 + 55*q**3\/3 + 312*q + 1. Let k(i) = 0. What is i?\nAnswer: -165, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045772473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99.5 + -1.5. Let g = 26.8 - k. Let r = g - 142. Round r to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.526 + 8.644. Let g = 11 - k. Let x = g - -0.17. Are x and 10\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(-3) - (-1)\/3. Let i = -3 - g. Let p = i - -12. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 5 = -9*b. Suppose -3*v - b = -i - 14, 0 = 5*v + 10. Let g = i + 41. What is the greatest common factor of g and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7482 is divided by 375?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-933*k + 933*k - 80*k**2)*((5*k - 3*k - 3*k)*(3 - 1 - 4) - k + k + 2*k + 43 - 43 - 20*k) in the form v*k + u*k**3 + f*k**2 + t and give u.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-291)\/(-24) + 12\/8*-2 and -33\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -332, -900, -1694, -2714, -3960?\nAnswer: -5432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1*9\/(27\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 682\/(-4) + (4\/8)\/1. Let s = u + 173. Solve 5*v + s = -3*y, 0 - 1 = 5*v + y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g - 304641 - 64831 = 0. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-2)*216\/(-2916).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534478140.\nAnswer: 2, 5, 43, 5272649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeteeeeeeteeetee. What is prob of picking 3 e?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163.\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2616 divide 29564069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 13*i. Solve i = -4*q + 2*p, 0 = -q - q + 2*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:02 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31\/(-14 + 3376\/240). Is f at most 467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1.5. Let r(i) = -3*i - 62. Suppose -89*k = -93*k - 80. Let y be r(k). What is the second biggest value in l, 0.4, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*x - 2*x. Suppose -3*g + 9 = 3*w, -5*w = 3*g - 7*g - x. Let o = g - -16. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**4*t**2 + 24*d**3 + 24*d - 1165*t**2 + 2 wrt d.\nAnswer: -8*d**3*t**2 + 72*d**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 55cc7b (base 14) to base 16\nAnswer: 2c80ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + 40*c - 129. Give z(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m = -3*g + 27, m - 5*g = -15. Factor 3*y**5 + 0*y**5 - 2*y**4 - 2*y**m + y**5.\nAnswer: 2*y**4*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 b when three letters picked without replacement from hzzzpzbaab.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6. Suppose a = 4*n + 4, 0 = -2*t - t - 2*n + 28. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 12 - 0) + -2 + 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 18145693?\nAnswer: -18145693.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 9. Suppose -5*r + a + 8 + 13 = 0, 2*a = -3*r + 10. Suppose 4*t = -3*u + 37, -4*t + r = -4*u - 12. Calculate the greatest common factor of i and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -396 + 1587\/4. Let z be (4\/6)\/(8\/(-1563)). Let u = z - -131. Which is the closest to n? (a) u (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 + 49 = 0. Suppose -b*s + 2967 = -2802. List the prime factors of s.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 28*l**3\/3 - 2*l**2 + 5*l + 39. Is a(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864107283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/720 + g**5\/60 + 7*g**4\/24 + 4*g**2. Let q(t) be the second derivative of w(t). Calculate q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 2*s + s + 81172 + 0*s.\nAnswer: 3*s + 81172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*a**3*p**2 + 18*a**3*p - 2*a*p**2 - 258*p**2 - 17213*p wrt p.\nAnswer: -314*a**3 - 4*a - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, -2, -3 in descending order.\nAnswer: 147, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291 + 9*f + 291)*(0 - 1 + 4)*(-f**2 + 4*f**2 - 2*f**2) + 2 - 2 - f**3 + (0*f - 4*f + 2*f)*(2*f**2 - 2*f**2 + f**2).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(475) + 2 - sqrt(190)\/(sqrt(1210)*-1 + sqrt(1210) - sqrt(10))))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 400, -126, -6.\nAnswer: -126, -6, -1, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h + 7*h + 29640. Round h to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205*l**2 - 5*l - 83139 wrt l.\nAnswer: 410*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + 5)*(-1 + 2 - 3) + (-4 + 0 + 3)*(-2 + 5 - 1) - 16 + 75 - 14)*(5*k - 4*k - 3*k).\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - y + 2 = 0, 0 = -3*n - 3*y + 2 + 1. Let r be n\/2*32\/(-80). Sort -2, -12, r in increasing order.\nAnswer: -12, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 51*o**2 + 55*o - 183. Let l be j(50). Suppose l*g + 6 = 69*g. Solve -x - 3 = b, 0 = -2*x - g*b - 5 - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 * 0.5.\nAnswer: 39.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8931039 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hin when three letters picked without replacement from iuhuvun.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*((43 - -5) + 4). Let f = n + -24. Solve 0 = 3*a + 4 + f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddd. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 6*g**2 + 3. Let r be s(-6). Suppose -r*b - 6 = -24. Suppose q + b = -3*x + 15, -2*q = -3*x. Solve -j - 1 + q = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 645 - 31. Let d = p - 614.000834. What is d rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -90, -305, -690, -1293?\nAnswer: -2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 30*q**2 - 30*q + 5. Calculate the remainder when y(-29) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:53 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b\/b**(-4)*b)*b*b*b)))\/(b*b**(-2\/9)*b))\/((b\/(b\/b**11))\/(b*b*b**(-6)*b*b)) assuming b is positive.\nAnswer: b**(-151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5826*p - 3425.\nAnswer: -5826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2978 is divided by 47.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 14625 = -5*a, -a - 30*i = -33*i - 2912. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 4*u. Let i = 9 - 5. Let p be x(i). Which is smaller: p or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70288 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3630\/(-20)*(-10)\/3. Let t = o + -581. Solve t = 3*h + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-126)\/(-28) - (-2)\/4. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, 40.\nAnswer: -4, -2, -1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 + 283. Calculate the remainder when 26 is divided by (-5 - r) + 17 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, s: 10, j: 1, f: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -6723333 and -6723333 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -6 - (2 - 93\/21 - -1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 26. What is the second derivative of 14*w**3 + 13*w**3 - 4*w**3 + u*w - 87*w wrt w?\nAnswer: 138*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 21*z**3 + 164*z**2 - 5664*z. Let n(y) = 4*y**3 + 33*y**2 - 1133*y. Let u(s) = 33*n(s) - 6*t(s). What is the second derivative of u(b) wrt b?\nAnswer: 36*b + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 408 = 0. Does 34 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 16*h**2\/5 + 2*h + 28\/5.\nAnswer: 2*(h - 7)*(h - 2)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 50. Let w = 301 + -146. Calculate the remainder when (1 + -2)\/(j\/w) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - j - 3. Let k(n) = 7*n**2 + 4*n + 6. Let z(f) = -2*k(f) - 5*m(f). Let q be z(3). Let i(w) = -2*w**2 - w + 4. What is i(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -19 + 1 + -1 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 8. Let q = 723 - 712. What is the remainder when q is divided by g(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 times 2\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 96 - (-496 + 464).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113 (base 4) in base 7?\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1086, -2822, -5234, -8322, -12086, -16526, -21642?\n\"Answer: -338*r**2 - 722*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 5, 2 in increasing order.\nAnswer: -74, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*f**3*l**4*m**2 - 150*f**3*l - 2*f**2*m**2 - 33*f*l**4*m**2 - l**2 wrt l?\nAnswer: 336*f**3*l*m**2 - 792*f*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.91 * 0.5.\nAnswer: -2.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*l + 10, -2*o + 31 - 21 = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29884804?\nAnswer: 2, 887, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - r**3 + 3*r**2)*(4 + 5*r**2 + 0 + 343*r - 341*r).\nAnswer: -5*r**5 - 2*r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302514929?\nAnswer: 3, 139, 367, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12210201 (base 3) to base 7\nAnswer: 15223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130003 to the power of 1\/2, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1*(-3 + 0). Suppose 2*a**2 + 0*a - 2*a**2 - 3*a**3 - 6*a**2 - c*a = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 8) to base 12\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 212167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 225?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -455*o**4\/12 + 19*o**3\/6 - 6*o**2 - 7*o - 1. Let t be y(8). What is t rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23716.14 - 24113. Let q = s + 393. Round q to one dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2191 = 171*t + 1400 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/24 + 16*t**2. Let u(o) = o + o - 6*o. Give u(f(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12885?\nAnswer: 3, 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 3. Let k be d(-4). Suppose -3*u - 2*p + 4 = -6*p, 4*p = k*u - 20. Suppose -u + 23 = 5*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35345157703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, 95244645 in decreasing order.\nAnswer: 95244645, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3374.152 from -0.11.\nAnswer: -3374.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 + 21 + (109 + -100 - (2 + 11))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11012 (base 5) to base 9\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679620 is divided by 226539.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231170 (base 8) in base 11?\nAnswer: -212997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*r + 64420, -2*p + 3*r - 11525 = -37287. What are the prime factors of p?\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d*g*u - 72*d*u - 3*d - 7*g*u + 2*g - 2 wrt g.\nAnswer: -16*d*u - 7*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*t + 59 = -31 - 194. Solve -7*f - 8 = -2*g - 4*f, t*f + 5 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 - -105.98790153.\nAnswer: -31.01209847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2. Let f(d) be the third derivative of 37\/60*d**5 + 0 - 23*d + 0*d**4 + 0*d**3 + 2*d**2. Calculate c(f(i)).\nAnswer: -4107*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*g - 901 + 901 + (2*g - 7*g + 3*g)*(-1 + 3 + 0) + (0*g - 3*g + 2*g)*(-4 + 0 - 4) to p + x*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 137 = 263. Solve 0 = -a + 2*n - 13, -2*a = -0*a + 4*n - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2363)\/6790 + (-123)\/21 + 6. Let v = 1\/194 + y. Which is the fourth biggest value? (a) v (b) -3 (c) 1\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27933 + 27884.089. Let w = t - 0.089. Let y = w - -51. What is the closest to -2 in 5, y, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 11) to base 13.\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167\/4 + 42. Let t(c) be the first derivative of -n*c**4 + 0*c**2 + 0*c - 3 - 1\/5*c**5 + 2\/3*c**3. Let t(q) = 0. Calculate q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11759*i**2 - 10529.\nAnswer: -23518*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -2\/5, 6, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66443 - -265787\/4. Solve 3\/4*g**2 + 9\/2*g + y = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1725*a - 2. Is b(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -14 (b) -0.3 (c) 2\/5 (d) -0.5 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2\/13, 4, 0.14.\nAnswer: 0.14, 2\/13, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-9))\/2 + 112\/630.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**5 + s**4 - 1. Let t(r) be the second derivative of 3*r**7\/14 - 13*r**6\/30 + 11*r**2\/2 + 22*r. Let q(w) = -22*a(w) - 2*t(w). Factor q(x).\nAnswer: 4*x**4*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c - 5 - 5*c**2 - c + 13*c - c**3. Determine h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.59 - -0.41. Let m = s - 16.4. Which is the third biggest value? (a) 2\/3 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-34)*(1 + -3). Let k = 41\/20 - 9\/4. Let w = 3\/10 - k. What is the closest to -1 in 1, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12103 - 323040?\nAnswer: -340143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2857670 to the nearest 10000.\nAnswer: -2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.867\nAnswer: 3.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*j, 18 = 2*z + z + 2*j. Suppose -6*c + 3*c + h = -9, z*h = 0. Solve -9 + 3 = -c*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5 = 5*o, 0 = -5*o + 2*t - 1 - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/12 + 100*h**2. Let r(d) = 14*d. What is o(r(c))?\nAnswer: -980*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.003813\nAnswer: 0.011439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13*(-10 - -4)\/((-9)\/6). Let z = a - 54. Let x be z\/8 + (-7)\/(-28). Solve 0 = -5*u - x*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35.87746l?\nAnswer: 35877.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t**3 + 550*t**2 - 5915*t - 10. Determine p(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -87*i**2 + 12*i - 2743. Let f(r) = 73*r**2 - 10*r + 2742. What is 6*f(g) + 5*k(g)?\nAnswer: 3*g**2 + 2737","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 13*k**2 + 12*k - 22. Let c be m(-14). Let n(l) be the second derivative of 0 - 1\/12*l**4 + 2\/3*l**3 - 5\/2*l**2 + 5*l. What is n(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 46 - 25. Suppose 7*h - 11 - 157 = 0. Solve 0*d + 5*t = -d - h, -2*t = 3*d + g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0*f**2 - 1\/10*f**5 + 6 + 5\/3*f**4 + 4*f - 25\/3*f**3. Solve k(j) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -1. Suppose 2*k = -h - 3*k - t, -30 = -2*h - 2*k. Suppose 1 = 5*l - h. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.47 - 26.63. Let o = i + 34. Sort o, 3\/7, 0.2 in decreasing order.\nAnswer: 3\/7, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**4 - 85 - 9*x**2 + 20 + 4*x**3 + 15 + 30 + 18 in the form w*x**2 + c*x + o + m*x**4 + t*x**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230206\/9 + 25650. Is u smaller than 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -66, -99, -132, -165, -198?\n\"Answer: -33*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2906002 and 1364.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 79*m - 837. What is d(-25)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 1. Suppose 15*v + 10 = 10*v. Determine a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -p + 11, 2*y + 4*p - 20 = -0*y. Let u be 545 + 1\/(-3 + y). Let t = u + -386. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*l**3 + 2*l**2 + 339*l**3 + 330*l**3 + (2*l - l**2 - 2*l)*(1 - l - 1).\nAnswer: 575*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2496 and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82331*x**4 + 33*x**2 - 227?\nAnswer: -1975944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*l - 19385, -3*l - 25837 = -2*d - 2*d. Calculate the highest common divisor of 3060 and d.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 5*f - 21. Let k be b(4). What are the prime factors of ((-9)\/3)\/(k\/1649)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:15 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.951 - 0.051. Let u = t + -1. Do 1\/4 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - y**3 + 5*y**5 + 0*y**3)*(105 - 207 + 101).\nAnswer: -5*y**5 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16502*x + 99005. Calculate i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 83297.7733 to the nearest 100.\nAnswer: 83300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817 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: Let p(d) = d**3 - 4*d**2 + 3*d + 3. Suppose 25 = 2*z + 3*z. List the prime factors of p(z).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-2)\/x))\/x)**(1\/12)*x**(4\/9)*x*x**(-3\/5)*(x*x\/x**(2\/3)*x)**(3\/19)*x**(-4)\/x**(-2\/3) assuming x is positive.\nAnswer: x**(-6397\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h + c - 142, -3*c + 269 - 155 = 5*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*y = 98*y + 4, 5*z + 3*y + 8 = -55 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2514 - -35094\nAnswer: 32580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -24. Let q(r) = -r + 1. Give -k(d) - 24*q(d).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/5409 and -5\/17.\nAnswer: 91953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 4*j**2 - j + 2. Suppose 152*l + 333 = -123. Let o = 9 + -13. Let c be -1 + 1 + l*(3 + o). Calculate d(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197645, -197642, -197639, -197636?\nAnswer: -197633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - -0.8. Let h = q + 6. Let f = 7 - h. Which is the closest to 1? (a) 5\/6 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 258 = 3*m, 80 = -l - 5*m + 179. Suppose 0*n - 69 = -3*n. Calculate the greatest common factor of n and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77486 and 37672?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -56, -133, -260, -449, -712, -1061, -1508?\n\"Answer: -2*d**3 - 7*d**2 - 4*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m + 58 = 231 + 308 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.23 + 0.23. Let z = 8 + u. Let o be 1 + (-3)\/8*2. What is the closest to z in o, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 7*l = 2. Solve -5*r = l*f - 10, 2 = f + 3*r - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/3*(-15)\/10. Let r be 0 + (-32)\/m + 2. Let b = r - -6. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183679690?\nAnswer: 2, 5, 881, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3513\/10 + 45999\/130. Which is the third biggest value? (a) l (b) -2\/7 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*r**3 - 204*r + 2811 wrt r?\nAnswer: -45*r**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 238b035a?\nAnswer: 238b0361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 12:45 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 7*z - 1 - 9*z - 5*z + 10*z**2.\nAnswer: 10*z**2 - 21*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2020181232 or 2020181231?\nAnswer: 2020181231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from rbrbubbrababubbuu.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 109*v**2 - 1. Let y be z(-1). Let g(c) = -c**3 + 9*c**2 + 12. Let r be g(9). What is the highest common factor of r and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 2*n + 55556248424 - 55556248486 + n + 3*n + 3*n.\nAnswer: 2*n - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-12)\/(-15) + 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -634, -817, -1000, -1183, -1366?\n\"Answer: -183*g - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3. Let g = z - -3. Suppose -5*j = -3*j - g*u - 12, 4*u = -20. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.34, 2, -2, 0.3, 0.2 in descending order.\nAnswer: 2, 1.34, 0.3, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362921000 rounded to the nearest 1000000?\nAnswer: 2363000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:38 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*d - 12 - 6, 0 = -4*n + d - 9. Suppose 4*a - 6 = -34. Let f = n - a. Solve -4*j = 3*s - 28, -s = j - f*s + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13933567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 150 = 2*h. Suppose s = -4*s + h. Let i be (3 - 0) + (-2)\/(-2). Calculate the greatest common divisor of s and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 104990106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4 + 8 + d - 4 - 5*d. Let y(p) = -p**2 - 23*p - 20. Let a be y(-22). Let v(o) = o - 2. What is a*j(f) + 9*v(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-72)\/270)\/1.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3. Suppose -2*i = 2*u - 0*i, -2*i + 10 = 4*u. Suppose u*k - 10 = 5. Solve d = k*t + t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + o + 1 + 0*o - o + 3*o + (o + 1 - 1)*(-4 + 0 + 2) + 2 - 2 - 2*o + 3*o - 3*o - 2*o + (0 + 1 + 2)*(o + 0*o - 2*o) - 58*o + 828 - 828.\nAnswer: -64*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*j - 284 - 92 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.175 + -53. Let m = -1.68 + y. Let s = 0.005 + m. What is the third smallest value in s, 0.2, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -803 - 676 - 2803*y + 339*y - 248 with respect to y.\nAnswer: -2464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -107, -103, -91, -65, -19, 53?\n\"Answer: o**3 - 2*o**2 + 3*o - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8668 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 7*s**2 + s - 3. Let x be i(7). Put x, -10, -5 in decreasing order.\nAnswer: x, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 g when three letters picked without replacement from {i: 1, u: 3, p: 4, x: 1, g: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(19) + sqrt(475) + -4)*1)**2.\nAnswer: 24*sqrt(19) + 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 25. Suppose 2 = 5*f - 3. Solve -w = f - a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 60*n + 506. Let m be j(10). What is the greatest common factor of m and 568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = b. Suppose -b*v - v = -69. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24083 + -3.\nAnswer: 24080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22335 + 22335 + 7*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36589 + -36751.51. What is b rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m + 192. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4234243 (base 5) to base 14\nAnswer: 1bd38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 3, l: 8, f: 4}. Give prob of sequence lrll.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 12*k = -w + 16, -5*w - 3*k + 15 = 0. Solve 4*g = -w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128023?\nAnswer: 7, 18289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0121871 to four decimal places.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10575162.\nAnswer: 2, 3, 13, 43, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgdggg. Give prob of picking 4 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, f: 4, n: 8}. What is prob of sequence knnf?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1368, -1239, -1024, -723, -336, 137, 696?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 16. Let f be q(-7). Let n(s) = -s + 0*s - 2 + 4 + f*s. Let z be n(-2). Which is the third smallest value? (a) 1 (b) 8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 22*a + 151 = -45 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/(-14) + 1 + 1354 + -1357. Factor 2\/7*h**3 + 12\/7 - z*h - 4\/7*h**2.\nAnswer: 2*(h - 3)*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*n + 10, 8 = -2*b - 2. Let l be 462\/(-99)*n\/(-4). Solve -l + 3 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 16*n = -378. Solve -5*g + 14 = 3*r, 3*r = 4*r + 5*g - n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 14*u + 6*u + (-2 + 2 + u)*((1 - 3 + 3)*(5 - 5 - 2) - 2 + 16 + 3).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9028692 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291 + 294. Is (15\/50)\/c - 28329\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 22*z**2 - z - 1. Let f(s) = s + 9. Let y be f(0). Let h = y + 13. What is the remainder when a(2) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/42*(-336)\/420*5\/2.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 460*z**2 - 5544*z.\nAnswer: 4*z*(z - 126)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 - g. Let z(c) = -12*c**3 - 26*c**2 + 13*c + 10. Let y(x) = 3*x**2 + x - 2. Let s(m) = -5*y(m) - z(m). Calculate 22*k(j) - 2*s(j).\nAnswer: -2*j**3 + 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, -4, 5, 2\/63 in descending order.\nAnswer: 5, 3.5, 2\/63, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3861)\/(-66))\/(3 - (-11556)\/(-3856)).\nAnswer: 2, 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Let a(g) = -53*g + 59 - 58*g + 38*g**2 + 11 + 41*g - 14*g**3. Let p(n) = 5*n**3 - 13*n**2 + 23*n - 23. Let t(x) = y*a(x) + 11*p(x). Factor t(l).\nAnswer: -(l - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6953644 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: In base 3, what is -1012112 + 11?\nAnswer: -1012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.64 - 23.14. Which is smaller: -198 or i?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 - 69. Suppose 0 = 2*a - m - p, a - 36 = -0*a - 5*m. Let q = a - 20. What is the remainder when 32 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28976250*s**4 - s**2 + 32059*s - 321?\nAnswer: -695430000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 353 - 353. Suppose f = -0*u + 2*u - k - 230, 3*k = 4*u - 460. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -25, -45, -71, -103, -141?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 15*p**4 - 22235*p**3 + 7400*p**2 + 14820*p = 0.\nAnswer: -2\/3, 0, 1, 1482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000054544 rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6768 and 72.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, -1\/2, -1\/9, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-1 - -18) - -32) + 17\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2 + 29799694*w + 29799692 = 0.\nAnswer: -14899846, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6894 bigger than 6904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/48 + 35*o**3\/8 - 53*o**2\/4 - 23*o + 43. Factor m(g).\nAnswer: (g - 1)*(g + 106)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-10)\/4). Let y = 1255\/2 + -658. Let s = 31 + y. Which is the nearest to 1\/2? (a) -0.1 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (2 - -9))\/((-36)\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.114576 months in millennia?\nAnswer: 0.002259548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1. Let y(i) = -i + 14. Let o(v) = 5*c(v) + y(v). Is o(11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 21*i**6\/5 - i**5\/12 - i**4\/4 + 4*i**3\/3 - 2*i**2. Let k be n(-6). Round k to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -19\/2, -39\/7?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) + (-38)\/(-6). Suppose 3*r = a + 3. Suppose 0 = -l + r. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*d + 1261 = -38*d - 179. Let s be (32\/6)\/(4\/36). What is the greatest common factor of s and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42aa (base 11) to base 9\nAnswer: 7717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:12 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 - -85. Let m be (-8)\/l*(-1)\/((-7)\/(-8)). What is the third smallest value in -0.2, -3, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u - 80. Let x be d(-9). Let s be (-4)\/(-6)*x\/(-8)*-164. Is s smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 1. Let c be y(-2). Let l(s) = -43 + 25 + 16 - s + 1. What is l(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 + 70*q + 165 = 0. Calculate q.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14352221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1829 - -38.8171. What is the smallest value in 3, 1\/3, h, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/94716 and 151\/78.\nAnswer: 1231308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24640292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0225 + 0.0225. Let q(n) = -n + 9. Let l be q(7). Let c = -0.3 - 2.7. What is the nearest to l in d, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 65. What is the remainder when 42 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 11020222022?\nAnswer: -11020221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*s - 2 - 6, 0 = 4*s - b - 6. Suppose s*o = 5*r - 34, o - r + 12 = 4*r. Let j = -17 - o. Solve -3*t + 3*n + 24 = 0, -28 = -t - 0*t + j*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4730216*s**3 + 15940510*s**2.\nAnswer: -28381296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 7*u - 8. Let g = 146 + -60. Calculate the remainder when g is divided by c(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*v + 2071*v + 885*v.\nAnswer: 2468*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -56\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**5 + 15*z**4 - 3444*z**3 - 74*z**2 + 2487*z wrt z?\nAnswer: 120*z**2 + 360*z - 20664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - (0 + -149) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4348, 1, 403.\nAnswer: -4348, 1, 2, 4, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/30)\/((-234)\/(-1404)))\/(1\/(-75))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76758 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/60 + o**4\/12 + 5*o**3\/6 - 2*o**2. Calculate the remainder when q(-4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1266*t + 12 = -v - 1264*t, -3*t + 15 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48660085 and 68124119?\nAnswer: 340620595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 16. What is the units digit of (-3 + l)\/(0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8587, 34456, 77571, 137932, 215539, 310392?\n\"Answer: 8623*u**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4034 by 3.\nAnswer: -4034\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 7) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 96*m + 99.\nAnswer: -3*(m - 1)*(m + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:47 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112241081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119391167 by 1013.\nAnswer: 117859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10101?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37452?\nAnswer: 2, 3, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149961150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 9905, -0.2, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.999999 - -43. Round r to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pddkpdpdppkgkkk. What is prob of picking 2 p and 1 k?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12159363.\nAnswer: 3, 4053121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 2 (c) 2\/29357 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*1)\/(5*-1*sqrt(7)).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {q: 2, j: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y. Let a be s(4). Suppose a*x = 12*x + 216. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1007 - 1005. Solve -l*r - 5 = -b, 5*b - 8 = 4*r + b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:02 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 + 185 = 128*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1952253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(0 - -1) - -2. Suppose -5*g = -0*g - 20. Let o = 8 + g. Calculate the greatest common factor of c and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 - -3 - -1)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k)**(3\/8)\/((k\/k**(-1))\/(k\/((k*k*k**(-4\/5))\/k)))*(k**2*k*k**(-2))\/(k**1\/k)**(-5\/14) assuming k is positive.\nAnswer: k**(79\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(3536\/(-182)*2\/8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 742.2078 * -24\nAnswer: -17812.9872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 10*y**2 - 12*y + 17. Determine i(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (10 - 0) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/120 + 3*u**5\/20 + 5*u**4\/24 - 29*u**3\/6 + 44*u**2 - 2. What is the remainder when 66 is divided by y(-7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Suppose -u = -3*u + 14. Let d(c) = -3 + u - 3*c - 2. Let k(j) = -j. Calculate r*k(b) - d(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8311, -16683, -25055?\nAnswer: -33427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4603 or 4604?\nAnswer: 4604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*h - 53 = 0, 0 = -h - 4 - 1. Suppose 4*s = u*s. Is s <= -1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*a + 37032192 = -41509048. What is a rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22551368 to the nearest integer?\nAnswer: 4749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6675?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1167747900 to the nearest 1000000.\nAnswer: 1168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/10 - 38\/(-4). Let m = -15 - -29. What is the remainder when 264\/s - 2\/5 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2368863*g*u + 1415485*g with respect to u.\nAnswer: 2368863*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 6373583\/5 and 1274717 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 77*k**2 + 3*k - 14. Let n be a(-6). Let l = n + -1701. List the prime factors of l.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 4*o + 19. Give r(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x**3 + 5. Let v be ((27\/6)\/(-3))\/(0 + (-9)\/30). Let q(r) = 28*r**3 - 14. Give v*q(f) + 14*y(f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/1)\/4)\/((-24)\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 2*s**3\/3 + 3. Let t(p) = 3*p + 2. Let k(g) = 7*g + 5. Let l(w) = -2*k(w) + 5*t(w). What is h(l(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yytyxdyxxyfxffxf. Give prob of sequence dt.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 10. Let t be g(6). Let b be (-12)\/t + (-11)\/2. Let i be 8\/b*(-3)\/6. Let m(a) = -6*a**3 + a**2 - a. Determine m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*b + b - 21, 0 = 2*m - 6. Suppose 0 = -b*l, -n - n = l - 48. Calculate the remainder when 47 is divided by (-114)\/(-8) + 2 - 6\/n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11748320.18 - 11748344.08000103. Let b = u - -23.9. Round b to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(3\/2)\/p))\/p**(-6))**29*((p*p*p\/(p*p**(-2\/3)))\/(p\/p**(-2\/19)))**(5\/9) assuming p is positive.\nAnswer: p**(164537\/1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, o: 2, t: 2, q: 1}. Give prob of sequence qio.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -619, 2, -60 in ascending order.\nAnswer: -619, -60, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 b when four letters picked without replacement from {b: 12, g: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/12 + (-15)\/(-6). Suppose g + 3*t + 0*t - 64 = 0, l*g - t = 182. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 48\/959?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/((a**(-8\/3)*a*a)\/a*a)))\/a*a)\/a)\/(a*a**(6\/13)*a)*(a**(-3\/8)\/a*a)**(7\/5))**2 assuming a is positive.\nAnswer: a**(-7259\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*g = 56, 4*j - 5*g + 70 = -8*g. Sort 3, j, 0.1, -4, 2\/11.\nAnswer: j, -4, 0.1, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1070.619411 to the nearest ten.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265494088 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80751, 161485, 242219, 322953, 403687?\n\"Answer: 80734*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -39*j - 190. Let l be p(-5). Suppose -c = l*u - 779, -2*u = 3*u - 5*c - 755. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 8*i - 25. Let k(m) = 4*m**2 - 11*m + 37. Let c(l) = 2*k(l) + 3*w(l). Calculate c(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.240412 minus 0.3?\nAnswer: -0.540412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + y = 73, -z + 2*z - 5*y - 20 = 0. Suppose -89 = -4*a + z. Suppose a = 4*l + i + 4, -l - 3 = -3*i. What is the greatest common factor of 30 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -116. Let k be (-6)\/4*(-40)\/v. Factor 3\/5*a**2 - 3\/5*a**3 - k + 3\/5*a.\nAnswer: -3*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = -9. Suppose 0 + 7 = w. Calculate the remainder when w is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38416*f*r**2 + 28081*f*r - r wrt r?\nAnswer: -76832*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264028 + 270636 = -112*i for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -b7?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -138. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-936)\/(-54))\/((-298)\/894)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -q - 4*j + 3*j, -3*q - 35 = 5*j. Let c = -29 - q. Let d be (12\/10)\/(c\/(-30)). Is 2 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*d - 5*k + 29, 0 = -3*d - k + 13. Suppose -4*t + d = -2*t. Suppose 28 = -0*b + t*b. Calculate the remainder when 40 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8560?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3805707 - -76?\nAnswer: -3805631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(2\/19))\/(u\/(u**(-1\/6)*u)))\/((u\/(u\/(u*u**(2\/7))))\/u**(-6)) assuming u is positive.\nAnswer: u**(-3469\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:13 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 5*y + 2*a - 753, 0 = -a - 1. Let v = y - 220. Solve -2*z - v*h = 2, -2*z = -z - 3*h + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5006756 (base 9) to base 3.\nAnswer: -12000020211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-579)\/(-3474)*1*(2 + -21)*2\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700))*4 + ((-1*sqrt(84) - sqrt(84))*-1)\/sqrt(12))**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2065.03 + -3506?\nAnswer: -5571.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 499355*v**2*w + 474*v**2 + 220 wrt w?\nAnswer: 499355*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-10))\/((-68)\/(-340)). Let u = 59 - 23. What is the greatest common divisor of u and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1506, 1528, 1550, 1572, 1594, 1616?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5487.\nAnswer: 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.89051678.\nAnswer: -0.44525839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let g(f) = -6*f**2. Let a(h) = 7*c(h) + 2*g(h). Suppose 3*b + 16 = 4*b. Let t(v) = -16 - 10*v + b. Give a(t(s)).\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*20\/(-6))\/(430\/2193).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4949.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2196 and -37\/19592712.\nAnswer: 19592712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9*n**2 - 14*n**3 + 13 - 17*n**3 + 10*n**2 in the form o*n**3 + h*n + x*n**2 + f and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 16*i**2 + 28*i - 54. Let z be c(-18). Suppose z = -15*v + 25*v. What is the remainder when (2\/2 - 3)*-6 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -42, -5, -511 in descending order.\nAnswer: -5, -18, -42, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 978 + -12937732\nAnswer: -12936754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/5)*y))\/y**(-7\/2)*(y*y*y**0)\/y*y**(-5) assuming y is positive.\nAnswer: y**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 24 = -12*n. Suppose 3*q = -f - 11, -2*q - 10 = 5*f + n. Which is the nearest to 1? (a) -4 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y = 198 - 691 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4610?\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/8)\/(-33))\/((-1)\/((-15)\/(-1)))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 4 - 4)*((-2*r + 2*r - 2*r)*(-4*r + 2*r + 0*r) + 3*r**2 + 5*r**2 - 4*r**2) - 6*r**5 + 3*r**5 - 4*r**5.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737624*c - 737624*c + 62*c**3.\nAnswer: 62*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 3699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 905 and 4706?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -154*y - 33*y + 473. Solve 5*n = 4*q - 15, 4*q + y*n = -q - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102102 - -221?\nAnswer: -101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 220 = 5*g, -9*j + 3*g = -5*j - 7*j + 42 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10231 - 2*j**3 + 10231.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 0 - 5)*(10*d - 18*d - 18*d - 3*d + 0*d - d + (0*d + 3*d - 2*d)*(-3 - 3 + 4) + 4 - 2*d - 4) to f + a*d and give a.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37293, 37287, 37269, 37239, 37197, 37143, 37077?\nAnswer: 36999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661.7397km to millimeters.\nAnswer: 661739700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y**2 + 224*y - 224. Let w be o(1). Put -1, 9, 8, 0, w in ascending order.\nAnswer: w, -1, 0, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -0.2 (c) -1 (d) -0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2 - 195*j + 402 = 0.\nAnswer: -67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 20*t**2 + 13659*t + 19*t**2 - 13659*t. Let w(a) = -6*a. Let y(f) = -f**2 - 5*f. Let d(b) = -5*w(b) + 6*y(b). What is d(r(z))?\nAnswer: -9126*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 5. Let u be (-3)\/6*(-8)\/(-1). Let n = u - 0. What is p(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -18*n + 21. Let i(x) = x. Let p(g) = -c(g) - 2*i(g). Let o(s) = -3*s + 4. Let m be 4*9\/(-6)*(-3)\/(-9). Calculate m*p(t) - 11*o(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbv when three letters picked without replacement from {v: 1, g: 5, r: 1, b: 3, q: 1, w: 3}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 2511.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v + 3. Let l be 3*(0 - -2) + 0. Let q(o) = -2 + l*o - 3 + 1. Give 4*a(s) + 3*q(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/11)\/n**(-2\/9))**(-38) assuming n is positive.\nAnswer: n**(-1178\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 7*h + 4. Suppose j + k = -h, -2*k - 6 = k. Solve -o - j = 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5*z + 12, -6 = -2*g + 4*z - 8*z. Which is the nearest to 0.1? (a) -1\/8 (b) g (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**8\/1440 - y**5\/30 - 31*y**3\/3 + 170*y**2. Let p(q) be the third derivative of i(q). Let l(t) = -6*t. Determine p(l(o)).\nAnswer: -504*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10747 + 100.\nAnswer: 10847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + -2 + 9 + -12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 + 19*d**2 + 437*d - 437*d with respect to d.\nAnswer: 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z - 2*w - 19, 6*w + 19 = -z. Solve l = 8*b - 6*b - 5, z*l + 5*b - 20 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**3\/3 - 5*t**2 + 8*t - 2. Let a = 46894 + -46906. Give q(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33988*b - 5112 = 33804*b - 1616 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)\/v*v*v\/((v\/v**(-4\/7))\/v))\/((v*v*((v**(1\/20)*v)\/v)\/v)\/v**(-2\/35)) assuming v is positive.\nAnswer: v**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/91 - 92\/(-14). Let r(f) = f + 2. What is the remainder when 32 is divided by r(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 28*m**2 + 23*m - 58. Let j be v(30). Let l be (-16)\/(j\/744) + (-10)\/(-2). Let b = 3811\/13 + -293. What is the biggest value in b, l, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 + 241. Calculate the remainder when x is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -2 + 0)*1*-1. Let p be (-2 - (1 - 2)) + 13. Suppose -5*o - 7*r + 4 = -3*r, 5*r = -2*o - p. Solve 7*a - 3*a + o = x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.4 - 7. Let o(p) = 26*p - 339. Let d(b) = 9*b - 114. Let u(i) = -11*d(i) + 4*o(i). Let h be u(21). What is the second smallest value in h, -49, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11312*r**3 + 266*r**2*s + 3*r**2 + 75*r*s - 767344*s wrt r.\nAnswer: 67872*r + 532*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 3*j + 2*j + 1 + (2*j - 2 + 2)*(0 + 0 + 2).\nAnswer: 7*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/22810626 and -58\/41517?\nAnswer: 159674382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -0.00744.\nAnswer: 0.0006696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y. Let b(d) = 477*d**2. What is w(b(t))?\nAnswer: -1431*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 5*b - 6*b + 24*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 + 95*a + 3818. Give d(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 47*b - 11. Let u be f(-24). Calculate the common denominator of (u\/(-16)*-2)\/(989\/(-92)) and -31\/14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/77 - 2\/77. What is the closest to 0 in m, -1\/2, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 163*j + 723. Calculate h(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1460)\/(-4380))\/(2\/138)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0995964 seconds?\nAnswer: 99596400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 101846 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let n(d) = 3*d. Let p(g) = -8*h(g) - 5*n(g). Let i be 1\/(1\/6*1). Let t(a) = i*a - a - 4*a. What is t(p(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 - 954*l**2\/5 - 11749*l + 606708\/5.\nAnswer: -(l - 9)*(l + 76)*(l + 887)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*i - 9*i + 440 = 0, 4*i = -3*h - 630. List the prime factors of (h\/(-8))\/(11\/88).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 - 128 = 67*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207370596 by -3.\nAnswer: 69123532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18775?\nAnswer: 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82256, 165846, 249434, 333020, 416604?\n\"Answer: -o**2 + 83593*o - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2346.6468 - -0.02.\nAnswer: -2346.6268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 280\/4929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -m + 9, 4 + 6 = -5*h. Solve -m*w = -0*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 203738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -172 (b) 4.7 (c) -5\/52 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = -3*z, -4 = 3*z - 4*a - 13. Suppose -z*q + 4 = -2. Suppose 10 = q*n - 2. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 2759?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 11:17 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7041*x - 277 + 1757*x + 277 + 1767*x + 1761*x + 1757*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14 - (-2 - (78 + 10)). Solve -j = 4*x - 88 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = 0. Let d(q) be the first derivative of q**3\/3 - q**2 - q - 1. Let h be d(3). Solve -h + a = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4697354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-6))\/(-3)*-92. Suppose j = 2*o - 114. Calculate the greatest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060977.\nAnswer: 3, 17, 79627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9)*(-9)\/6)\/((-17)\/(-136))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063745 is divided by 166.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3465 - -0.6348. Let l = v - 0.2881567. Round l to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1861*m**3 + 1797*m**3 + 1788*m**3 - 5351*m**3.\nAnswer: 95*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3236 < -9899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3)\/((-4)\/60*5). Suppose -k + 125 = i, -2*i + 2 - 4 = 0. Suppose -n - k = -g*n. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -99181, -397101, -893631, -1588771?\n\"Answer: -99305*n**2 - 5*n + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - 3*z**3 + 3*z**3)*(0*z - z - 2*z)*(-46 + 266 + 96).\nAnswer: 948*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 2295202?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94573 is divided by 257?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 k when four letters picked without replacement from kkkkkkkoookokokkko.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111263332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 13\/11, -1.2, -4, 3\/2, -54, -3?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57999 - (3 + (1 - 5)). Round l to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3*v**3 - 94806*u**3 - 18644*u - 6*v**3 wrt u.\nAnswer: -6*u*v**3 - 568836*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 18, 152, 456, 996, 1838, 3048?\nAnswer: 4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -22, -47, -96, -175, -290?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1817\/5 (b) 1441 (c) 1\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let y be 2 + (-1)\/((-3)\/36). Let l be (-48)\/(-21) - 4\/y. Let o(j) = -j**2 + j**l - 2*j**2. Calculate i(o(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16880\/88000 + (-4)\/22. Let k(n) be the third derivative of -f*n**5 + 2\/15*n**3 - 10*n**2 + 0*n + 1\/600*n**6 + 0 + 0*n**4. Factor k(d).\nAnswer: (d - 2)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 2*a**3 - 19*a**5 + 5*a**5 - 7*a**2 + 7*a**2 + (-3*a + 3*a - 2*a**3)*(3*a - a**2 - 3*a).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-68) - (-3 + (-11)\/(-3))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3 - 3*x + 4 + 4*x. Let n be b(-4). Suppose -4*w + 3*f - 1 + 9 = 0, w - 2 = f. Solve 0 = -w*d + 3 + n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 189) + 64 + 21.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 14.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/9 - 61001*o\/9 + 294698\/3 = 0. What is o?\nAnswer: 29\/2, 30486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g**3 + g + 3. Let f be (-36)\/(-450) - 520\/250. Let o(c) = -11*c**3 - c - 2. Give f*j(b) - 3*o(b).\nAnswer: 13*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671 (base 8) in base 4?\nAnswer: 32321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.02, -0.04, -6, 2, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101787 * -12.\nAnswer: 1221444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2308?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 634355721.6 rounded to the nearest one hundred thousand?\nAnswer: 634400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*u, -54 = -2*y - 3*u - u. Let d = 28 - y. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 651700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -281.5599 and -0.03016.\nAnswer: -281.59006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 14*a**4 + 5*a**3 + 2*a + 6*a**4 - 2*a**4 - 4*a - 13*a**4 in the form p*a**2 + n*a**4 + z + y*a**3 + v*a and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (-11892)\/(-6)*(-12 + 13)?\nAnswer: 9910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8317 + 8317 + 8*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 370392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7621 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/68114 or -1\/3?\nAnswer: -3\/68114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137457559, 274915117, 412372675?\nAnswer: 549830233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14842, 14748, 14498, 14014, 13218?\n\"Answer: -13*o**3 - 3*o + 14858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ae5b67 + 0?\nAnswer: ae5b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -460 - -479 - (-54 - (-3 + 4)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126847639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 4*k**3 - 6*k**3)*(-4*k + 3*k + 2*k)*(-1 + 3956*k + 4013*k + 3874*k - 12183*k).\nAnswer: 680*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.945 - 0.055. Let p = 34 + k. Let i = 200 + -199.8. Which is the fourth biggest value? (a) 3 (b) i (c) p (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1151075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 4. Let a be (18\/5)\/(w\/(-40)). Suppose -2*y + 6*y - a = 0. What is the lowest common multiple of 8 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -320*(10 - 5\/((-10)\/(-21))). Calculate the greatest common factor of s and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(20\/8) - 72\/(-30). Solve 0 = -0*g + z*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96\/13 + -511\/78. Let p(i) be the second derivative of f*i**3 - 1\/2*i**2 + 0 + 3*i. Determine p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -0*x - x - 4*q, -x + 5*q + 90 = 0. Suppose 0 = -0*c + c - x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 - 1699947*s + 115610268 = 0. Calculate s.\nAnswer: -566717, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.19 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*u**3 - 1650*u wrt u?\nAnswer: -870*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by 53\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -5. Let g = -0.1 + -0.9. Let h = -0.41 - -0.01. What is the closest to -1 in h, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 10) to base 13.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(189)\/sqrt(3)).\nAnswer: -15*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = 58*x - 68. Let g(c) be the second derivative of 0*c**3 + 5*c**x + 0 + 1\/4*c**4 + 13*c. Differentiate g(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -240526 != -240526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7*k + 4, -4*t - 3*k = -189. Let y = t + -4. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:18 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6074 = 4*f. Suppose f = 4*p + w, 42*p - 40*p + 4*w - 1536 = 0. List the prime factors of p.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196\/3 + 2554\/39. Let r = 0.1 + -0.4. What is the biggest value in d, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13090129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)*z**(2\/9))\/(z**(1\/4))**38 assuming z is positive.\nAnswer: z**(-799\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/10191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25296 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2898 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9778 is divided by 165?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -15. Let v = q - 10. Suppose t + v*t = 0. Solve t = -2*b - 3*u - 11, 2*b - u + 2 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/16039 - 689673\/64156. What is the common denominator of a and -65\/19274?\nAnswer: 38548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1088) + (sqrt(1088) - 5*(1 + sqrt(1088))) + ((sqrt(1088) + -2)*-1 + sqrt(1088) - sqrt(1088)))*5)**2.\nAnswer: 1600*sqrt(17) + 435225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 4:04 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 4*l + 2. Let o be a(-2). Suppose o*h - 2 = -0. Calculate the least common multiple of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29425\/220 + (-2)\/(-8). Find the third derivative of -900*b**4 + 900*b**4 + v*b**5 - 49*b**2 wrt b.\nAnswer: 8040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148795 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: Which is the second biggest value? (a) 5 (b) -4 (c) 0.2 (d) -2\/9 (e) 0.0639 (f) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s. Let u(h) = -1 + 0*h + 2 + 3*h. Let y(f) = 5*n(f) - 4*u(f). What is the first derivative of y(c) wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b + b**3 + 18*b**2 + 3*b - 39*b**2 + 18. What are the prime factors of o(21)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - 3*l**3 + 285*l + 12490 - 12490)*(-4 + 4 - 2*l) to the form z + f*l**2 + a*l + o*l**4 + y*l**3 and give f.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 107*u**2 - 8*u. Let n be c(-10). Let d be 0\/(-3) + n\/4. Let j = d + -1095. Round j to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 506674?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-2))\/((-9)\/60). Let s be 4\/(-10)*f\/(-110). Sort 1\/2, 4\/5, s in decreasing order.\nAnswer: 4\/5, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 3*c + 2*c)*(-2*c**3 + c**3 - c**3) + (44*c**3 + 23*c**3 - 2*c**3)*(3*c + 2*c - 6*c) to the form j*c + f*c**3 + g*c**2 + t*c**4 + u and give t.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18360000 to the nearest 100000.\nAnswer: 18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 688667641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*b**2*s*y**2 + 20*b**2*s + 10*b**2*y - 6*b**2 - 72*s*y**2 + 2 wrt y?\nAnswer: -116*b**2*s - 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48722207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874 - 5770*n + 441 + 433.\nAnswer: -5770*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = 8. Let r(d) = d**2 - d + 2. Calculate the least common multiple of r(0) and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020000220 - -11?\nAnswer: -2020000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*w - 48, 8 - 1 = i - 3*w. Suppose -i*x + 12*x - 1120 = 0. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i)**(-49)*i**(-1\/6)*i\/(i\/(i\/((i*i**1)\/i))*i) assuming i is positive.\nAnswer: i**(-1477\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-80\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -750 - -110. Let q = -636 - y. Solve x - 15 = q*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4 + 14*w**3 + 22*w**2 - 14*w - 24 = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*u - 5*y, 10 = 5*u - 5*y. Let n(d) = d**2 - 4*d + 1. What is the units digit of n(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/18 + (-4)\/60)*-5. Suppose z*m + 4*y - 1282 = 0, -2*m + 4*m = -5*y + 1279. Is 49 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(3136))\/(sqrt(84)\/(sqrt(132)\/sqrt(176))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 10*f**2 + 2*f + 118. Let a be y(-9). Solve 1 = -3*p + 2*h, 3*h = -p - h - a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -436, -383, -330, -277, -224, -171?\n\"Answer: 53*b - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3934 = -4*c, -986 = 3*c - 4*c + 3*s. Suppose 2*z + 2*y = 666, -3*z + 3*y + c = 2*y. What is the greatest common factor of z and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 23 = -57. Let n = -17 - h. Solve 5*y = 4*y + 3*a + n, 3*y - 5*a - 31 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 77*q + 2559. What is z(-14)?\nAnswer: 1481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452)*-2)\/sqrt(4) + (sqrt(27) + sqrt(3267)*-1)\/sqrt(9).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 48\/7*s**2 - 48*s - 384\/7 + 12\/7*s**4 - 3\/7*s**5 + 96\/7*s**3 = 0.\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 800 and 300?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let v = z - -4. Suppose -4*x + 2*q = -42, -5*x - 7*q + 12*q = -60. Solve k + 18 = 4*g, -2*k - v - x = -3*g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 154 = 14. Let b = k + 42. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862710.2 nanoseconds in minutes?\nAnswer: 0.00003104517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12102 (base 3) to base 16\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52493*t**6 - 6924*t**2 + t - 1?\nAnswer: -6299160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 10 - 7218*o - 15 + 3 to t + y*o and give y.\nAnswer: -7218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110200102 + -122201?\nAnswer: -111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r. Let b(d) = -d**2 - 19*d + 3. Let u be b(-11). Let y(o) = 43*o + 50*o - u*o. What is f(y(v))?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8*k = -708. Suppose 115*p - k*p + 12 = 0. Solve -1 + 13 = p*t - y, 0 = 2*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -460, -462, -466?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94157524 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4322, 4, 2271 in descending order.\nAnswer: 4322, 2271, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 563 - 330. Suppose 4*t - 4*a + 9 - 37 = 0, 3*t - 5*a - 29 = 0. Suppose g = u + 3*l - 65, -t*u + 2*l + 927 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 117. Let s = b + 78. Let i = s + -16. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t + 2*v - 1335, t + 267 = 4*v. Let z = t + 394. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 201 = 4*n, -8*n + 7*n + 3 = 0. Solve -p - 5*m + 18 = 0, 2*m - 71 + g = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(720) + -1 + -3 + 5 + 3)**2.\nAnswer: 168*sqrt(5) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74.002 + 0.002. Let c = -74.0078 - x. Round c to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqxpxqpxpqkpmi. What is prob of sequence xm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + -1 + -4 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1655090, 13240724, 44687428, 105925736, 206886182, 357499300, 567695624?\n\"Answer: 1655089*s**3 + s**2 + 8*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 2*l + 15*l - 610 + 610.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 862832722 and 7276.\nAnswer: 862839998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241259820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 876639.\nAnswer: 5\/292213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, e: 1, q: 4}. What is prob of sequence uuqe?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2945300464889149 - 6968580753265973119\/2366. Let l = -61987218 + i. Let g = -3\/338 + l. What is the common denominator of -51\/2 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 504*g**6 + 259*g**2 wrt g.\nAnswer: 60480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13631, 2, 115\/17?\nAnswer: -13631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15150.9984808 + 15151. Round c to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/21)\/((-7)\/(-42))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1634.17l?\nAnswer: 1634170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3415260?\nAnswer: 2, 3, 5, 56921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 7:49 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.972 + -18.8389. Let b = h - 1.244. Round b to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13977 + 13980. Put 1, 2782, d in increasing order.\nAnswer: 1, d, 2782","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 p when three letters picked without replacement from bbpfpri.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*x - x = 175, 0 = -4*z + 5*x + 135. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 4 - 7)*(0 - n + 0) - 4*n + 4*n + n)*(12*n - 125*n - 112*n) + 3*n**2 - 2*n**2 + 0*n**2 to h*n + q + u*n**2 and give u.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120063 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -636, 1, -3, 2, -4, -22 in decreasing order.\nAnswer: 4, 2, 1, -3, -4, -22, -636","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -3. Is p\/(-2)*0 - -20 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Let x(m) = -6 + 2*m**2 + 6 + 2*m**2. Give x(v(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 12*g - 402. Let v be x(-46). Calculate the highest common factor of v and 2822.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12867 + -12831. Put 0.5, -5, 0.1, o in descending order.\nAnswer: o, 0.5, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20cfad (base 16) in base 7?\nAnswer: -24164101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 - 0.42. Let u = 106.96 - 0.06. Let o = -107 + u. What is the nearest to o in 5, c, -3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -3, 0.1, -1, 3\/7 in increasing order.\nAnswer: -3, -1, -4\/5, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38611 - -38137.97. Let c = v + 479. Let g = 6 - c. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 74*y**2 + 17*y + 236. What is the thousands digit of p(75)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s\/s**(-4\/3)*s*s*s*s\/s**(-5))\/((s\/s**(-2\/3)*s)\/s*s)**(-17\/4) assuming s is positive.\nAnswer: s**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 43*i + 187. Let w be 2\/6 - (-3 + 174\/(-18)). Is o(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*r = u + 28, -3*r + 33 = u. What is the greatest common factor of 162 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(36)\/sqrt(9)) + 3*sqrt(36)*2)\/((5*-1*sqrt(972) + sqrt(972))*-2))**2.\nAnswer: 49\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -109 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 10*x**2 + 72*x - 385. What is w(5)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85712750597653 - 85712747860520.07000004. Let t = -2737133 + v. Let c = 0.07 + t. Round c to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 7504?\nAnswer: 7495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*x + 8, -2*o - 3*x + 0 = 7. Let v = 4.38 + 0.62. Which is the third smallest value? (a) o (b) v (c) 0.4 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + 2*w - 3. Let z be u(3). Let j be z\/(-36) + 1\/3. Which is the closest to 0.1? (a) 1 (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o - 7. Let f(t) = 21*t - 15. Let c(k) = -5*k + 4. Let n(l) = -9*c(l) - 2*f(l). Determine 4*m(z) - 5*n(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -608\/25. What is the common denominator of 46\/5 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -4*a + 4*n + 16864, 3*n = -12. Suppose -3*c + 3*l = -a, -c - 2*l = 3*c - 5642. List the prime factors of c.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -101110?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 550?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049 + 477071838.\nAnswer: 477071838.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-9)\/7 - (-105)\/882.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 2. Give z(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 731239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2 + 2*g + 14*g**2 - 1 + g**3 - 3*g - 9*g**2. Let y(o) be the first derivative of -3*o**4\/4 - 4*o**3\/3 + 2*o**2 + 4*o - 1. Give 4*h(r) + y(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 6:05 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 199, 185, 153, 103, 35?\n\"Answer: -9*j**2 + 13*j + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*o + 3*o. Let j = o + -22. Let z = -23 - -27. Solve 0 = -z*a + h + 7, 7*h = 4*a + j*h - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**3 + 3*j**2 - 2*j + 1. Let k(y) = -y**3 - y**2 + y. Let z(h) = k(h) - u(h). Let d be z(2). Let o = 23 - d. Solve 0 = -0*l - 2*l + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h + 0*h + h**2 + 8 + 4*h - 3*h. Let s be k(-5). Solve s*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -10.5?\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26323 divided by -234?\nAnswer: -26323\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -109*a - 739. Calculate d(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 2. Suppose 0 = -2*o - t*b + 50, 59 = 4*o - 3*b - 23. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y + y + (69*y + 495*y - 54*y)*(-2 + 1 - 2) + 2*y - y - 2*y.\nAnswer: -1529*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 + 4427351058.659.\nAnswer: 4427351058.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2486295 is divided by 1099?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 35*i**3 - 17*i**2 + 4*i - 9. Let p(b) = -9*b**3 + 4*b**2 - b + 2. What is 9*p(t) + 2*w(t)?\nAnswer: -11*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + sqrt(272) + sqrt(272))**2 + 1)*2.\nAnswer: 64*sqrt(17) + 2183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9603339 is divided by 676.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*-8*(42\/2016)\/(1\/4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) + 3\/3. Let h be -79 + 77 - ((-3)\/(-2))\/((-9)\/(-12)). Sort h, m, 17 in ascending order.\nAnswer: h, m, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**3\/5 - 2577*p**2\/5 + 3642*p + 20784\/5 = 0.\nAnswer: -866, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -43*y**3\/3 + 25*y**2\/2 - 57. Find the second derivative of q(o) wrt o.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1))\/(3\/24). What is the highest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2447 (base 9) to base 15\nAnswer: -81a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**2 - 15*d**2 + 20*d**2 + 7*d**2.\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 9.6. What is the smallest value in -3, 3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -7)*2*1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aom when three letters picked without replacement from yamyyow?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/4 or -0.790188?\nAnswer: -0.790188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0163 and 0.07?\nAnswer: 0.001141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-1241)\/(-4964))\/((-3)\/2 + 0)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) 5.315 (c) -2.8525\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 0 + 2 - 2 + 19*t**2. List the prime factors of c(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/8 - r**2 - 6*r. Let n(j) be the first derivative of s(j). Let h(i) = 3*i**2. Give n(h(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -43812*v - 5695563. Give c(-130).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 278 in 3, -1\/44, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**4 + 1 - 18*g - 1529*g**2 + 3058*g**2 - 1527*g**2 to the form c*g**3 + k*g**4 + f*g + j*g**2 + w and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 2*l + 2)*(19*l**2 - 19*l**2 - 12*l**3) as t*l**3 + i*l + n*l**4 + z*l**2 + a and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = 3*q + 3*z, -4*q - 2*z + 14 = 0. Solve 4*s - 2 = q*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 + 18*v**2 + 29. Let g(k) = 7*k**3 + 36*k**2 - k + 59. Let x(f) = -4*g(f) + 9*r(f). Is x(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + y**2 + 2*y**2. Let m(x) = x**2 + 6. Let c be m(0). Let j(l) = 2*l**3 - 27*l + 27*l + c*l**2. Give 6*h(t) - j(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a. Let i(d) = 2*d + 25 + 10 + 3 - 3. What is the units digit of i(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + (2 - -3 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f + 93*f - 55*f + 102*f.\nAnswer: 170*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-756) - (-2)\/14)\/(102\/(-1071))?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -49*s - 1519. Determine t(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 - 3*v - 3. Determine s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - y + 4*y)*(510 - 687 - 806)*(3*y - 3*y + 2*y) to the form b + r*y**2 + m*y and give r.\nAnswer: -3932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 - 20*d**2 - 64*d**2 - 5*d**2.\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:33 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5 - 44*g**4 - 204*g**3 + 1080*g**2 + 6426*g + 8100 = 0.\nAnswer: -3, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.676 in -488\/3, -4, -2\/11, -2\/19?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -5593464, 1?\nAnswer: -5593464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 686954070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-108)\/(-72))\/(6\/(-16)). Put f, 5, 10, 3 in ascending order.\nAnswer: f, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/6069657 or 0?\nAnswer: 2\/6069657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**5 + 11*c**2 - 11*c**2)*(32 + 176 + 318).\nAnswer: -5786*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6046 is divided by 1822?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -774215.6 rounded to the nearest 1000?\nAnswer: -774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -4, 4, 6.\nAnswer: -4, 4, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 8, 0*q + 154 = 3*q - 2*t. Let b = q - 50. Solve -16 = -4*u - k, 0*u - 4*u + 2*k + 16 = b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(-1*2). Suppose -9*g + 31 = 14*g + 8*g. Which is the closest to g? (a) 2 (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-44)*18403\/(-717)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1947 - -2769. Let w = l - -329. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6600 - 6600 + 173*f)*(5 - 2*f + 24 - 12).\nAnswer: -346*f**2 + 2941*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1503 and 15\/47261.\nAnswer: 425349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.88603 years to millennia.\nAnswer: 0.06588603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*v + v + 19, 2*c - 20 = -4*v. Suppose -3*j - c = -j, 0 = w + 5*j + 19. Let l be 36\/8*(w - -1). Calculate the greatest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u + 16. Let r be -1 + u - (-6417)\/(-378). Let c = r - -9\/14. Calculate the common denominator of c and 53\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 10*s**2 + 10*s + 11. Let g be j(11). Solve -5*v = -3*z + 10, g*v - 5*v - 50 = 5*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-3 - (-25 + 13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5391116 grams in milligrams?\nAnswer: 539.1116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132914571?\nAnswer: 3, 44304857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxm when three letters picked without replacement from {x: 6, m: 11, l: 2}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4961?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 3, t: 5, o: 1}. What is prob of sequence ll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-1134)*18*(-6)\/((-6)\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((126\/(-154))\/9)\/((-18)\/(-66)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616321 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3 - -1) + (-1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/2191 + -57314489\/21910. Let r = c - -2620. Calculate the common denominator of ((-29)\/(-2))\/((-66)\/(-44)) and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**5\/40 - 19*y**3\/6 + 24*y**2. Let r(k) be the first derivative of x(k). Let m(d) = d. Give m(r(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q + 6 - 15 - 4*q + 5*q. Let m be s(0). Let i = 5 - m. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s - 12738 = -4*q + 58*s, -4*q = 2*s - 12732. What is the highest common divisor of 43 and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + b - 1. Let n(x) = -6*x**2 + 4*x - 4. Let u(v) = 4*h(v) - n(v). Let s(w) be the second derivative of w**3\/6 - 4*w. Calculate u(s(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2484 - 86944\/35. Put -4, i, 4, 0.1 in decreasing order.\nAnswer: 4, 0.1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m*u*w**2 + 3*m*u*w - 1164*m*u + 287*m*w**2 - 65*w**2 wrt u.\nAnswer: 3*m*w**2 + 3*m*w - 1164*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 - 58572*p**3 - 234204*p**2 + 292780*p = 0.\nAnswer: -14639, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -2\/9, 2\/49?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589521572.\nAnswer: 2, 43, 1289, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a + 122. Let w be j(-16). Solve 5 = 3*d - w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6273202*n - 6273200*n + 126 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2495 + 3835 = 91*a + 1962 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.77 + 9.37. What is the fourth biggest value in -2, 0.4, 1.9, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n + 18. Let l be m(-4). Let t be (-985)\/25 - -1 - 4\/l. Calculate the remainder when 48 is divided by (2 + t)*(-2)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 + 8*p. Let m = 230 - 234. Let z(q) = -10*q**2 + 14*q. Let t(r) = m*z(r) + 7*x(r). Let s(h) = h**2 - 3*h**2 + 0*h**2. Determine s(t(b)).\nAnswer: -288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 131121151 (base 6) to base 15\nAnswer: 35d721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1664, 3277, 4880, 6473, 8056?\nAnswer: 9629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*y + 8 + 5 = 0, -3*q + 7 = -5*y. Let u(p) = -4*p**3 + p**2. Let c be u(q). Solve 4*i + c*r + 1 = -0, -i + 6 = -5*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 2 = 0. Suppose 0 = -2*t + v + 2. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 2) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d + 309 = 51 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/2 - 4\/1. Let s be 44\/(-3)*a\/(-2) - 2. List the prime factors of (45\/(-18))\/((-2)\/s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/8*(-24)\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {u: 3, h: 1, m: 2, l: 4, e: 2, z: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 2 - 7\/(-5). Let z = -0.32 - 1.68. Which is the nearest to 0? (a) s (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/36 + f**4\/24 - f**3\/2 - 5*f**2. Let a(r) be the first derivative of b(r). What is the derivative of a(l) wrt l?\nAnswer: -20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 35901486.\nAnswer: -5\/35901486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332734 to the power of 1\/2, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3)\/(7\/21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 51757133.30656.\nAnswer: -51757133.20656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/3 + 878*g\/3 - 192721\/3 = 0.\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 1:54 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let q(h) = -h**2 + 8*h + 2. Let x(b) = q(b) - 6*z(b). Let a(i) be the first derivative of x(i). What is the first derivative of a(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 286?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7645531 divided by 6\nAnswer: -7645531\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 + 97. Let g be u + 18\/8 - (-441)\/(-84). Let y be -1 - -10*g\/(-2) - 2. Solve -4*z + 3*z = 5*n - y, -37 = 4*z - 5*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*4*42\/56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026768 to four decimal places.\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 106. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 divided by -211?\nAnswer: -199\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2731*v - 2741?\nAnswer: -2731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -2*p**3\/3 - p**2\/2 - 379. Calculate t(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 11.911. Let i = g - 0.451. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rriiiiii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**(-6\/7)*d*d)\/d)\/d)\/d**0)\/(d\/(d*d**(2\/9)\/d*d))**31)**(14\/5) assuming d is positive.\nAnswer: d**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -423, -849, -1263, -1659, -2031, -2373, -2679, -2943?\n\"Answer: p**3 - 433*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26421 divided by -1581?\nAnswer: -8807\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(1\/17)))**(-30))**(-9\/2) assuming b is positive.\nAnswer: b**(-135\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-656 - 40 - 156)*(4 - 4 - 2 + 5*n) to the form s + z*n and give z.\nAnswer: -4260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331 and 898003.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 877.64.\nAnswer: -876.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 851136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (6 - 1 - (7 - (26 - 17))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, 3, 10, 1.9, -0.1, 136 in ascending order.\nAnswer: -0.1, 0, 0.5, 1.9, 3, 10, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10752557354 to six dps.\nAnswer: -0.107526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/(-93) - 2\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 4:17 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114)*3*-5 - sqrt(114)) - sqrt(114)) + sqrt(114) + (sqrt(114) - -2*sqrt(114))*1 + sqrt(114))\/(4*sqrt(36)\/(2*sqrt(6))*4).\nAnswer: -11*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r**2 - r - 8. Let s be x(-7). Suppose 3*t = 3*y - 6, -t - 4*y - 14 = -y. Let h = s - t. Solve -6*v + h*v - 2 = -z, 3*z = -5*v - 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -f430 (base 16) in base 7?\nAnswer: -350152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 + 8*s. Does 21 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3563*w**2 - 4*w. Suppose 2*q - 3 = -1. Is m(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h + 1. Let d = 5 - 6. Let o(m) = 27*m**2 + 12*m - 15. Let j(y) = d*o(y) - 15*w(y). What is the second derivative of j(a) wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32600 rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 252366954.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100111038?\nAnswer: 2, 3, 19, 878167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 356841.301 - 356420. Let p = q - 421. Round p to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -180.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + -2*sqrt(19) + -1.\nAnswer: -10 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1699*b**3 - 1 + 1718*b**3.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.5 - -9.5. Let a = k + -83. Is a at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 11*w**2 - 14*w + 250. What is b(16)?\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.3. Let u = 0.7 + r. Let m = -31\/3 + 11. What is the smallest value in -4, m, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 - 2 - 24*v**4 - 26*v**4 + v**2 + 51*v**4 + 8*v**3 to the form y*v**2 + s + q*v**4 + b*v + d*v**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*f = 12, -14*q + 12*q + 4*f = -14. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/200 (b) 2\/3 (c) -2\/5 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:03 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) - sqrt(972)*-4)\/(-4*sqrt(81) - sqrt(9)).\nAnswer: -30*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12164 = 680*b + 1315 + 1815 + 5106 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(1\/11)\/o)*o)\/o*o*o**(-3\/11)\/o)\/(o**12\/(o*o**(-4\/9))))**(-23\/5) assuming o is positive.\nAnswer: o**(22333\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 141 = -5*d - 657, 5*d = -10. What is the remainder when 354 is divided by 46\/u + (-1124)\/(-22)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*b**4 + 263556*b**3 + 316206587*b**2 wrt b?\nAnswer: 984*b + 1581336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k + 12, 2*f + 5*k + 20 = 0. Suppose 4 = q - f*g + 2*g, 4*q = 2*g - 4. Suppose q*s - 3*s = -57. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1930 and 1544.\nAnswer: 7720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13204440 divided by -153540\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2269*s + 8. Let k(p) = p. Determine t(k(b)).\nAnswer: -2269*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0359268286 rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 671096 divided by 4\nAnswer: 167774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 636 and 49926.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (1 + -2)) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49378, -49397, -49420, -49441, -49454, -49453, -49432, -49385?\n\"Answer: y**3 - 8*y**2 - 2*y - 49369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 6 = 0. Let k be 50\/20*(-6)\/5. Sort n, 0, k.\nAnswer: k, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 12.4. Let x = 1.2 + z. Let s = -0.1 + 1.1. Which is the closest to -1? (a) s (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/(-40)*26\/((-702)\/135)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 3*h**2 + 3. Suppose -n - 3*n = -20. Suppose -3*j + 14 = n. Determine g(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37623, 150556, 338859, 602586, 941791, 1356528, 1846851?\nAnswer: 2412814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 33. Suppose -5*a - h = 3*n + n, n = 4*a + 23. Let c be -6*(15\/6 - n). Is c greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/11, 1\/7, 501, 0, 2\/11, -34\/9?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x + 90. Suppose 6*v - x = 12. Solve 0*t = v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v + 4. Let z be p(11). Let r = 190 + z. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 986?\nAnswer: 8874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 + 11*q - 9. Let g be v(7). Let y = g + -8. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 7. Let w(v) = v + 2. Let p be w(-2). What is the remainder when l(p) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 199870 and 200?\nAnswer: 3997400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 61794656 divided by 2\nAnswer: 30897328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 2.3. Suppose -5*h + 27 = n, 0 = -2*n - 0*n - 6. Let m = 7 - h. Which is the closest to m? (a) 1 (b) -4\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7510000 to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508739910 rounded to the nearest 100000?\nAnswer: 508700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*2 + sqrt(160) - sqrt(160))\/(sqrt(14)\/(sqrt(7) + sqrt(21)\/sqrt(3))).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at least as big as 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.4 (b) 25 (c) -5 (d) 24\/11 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.3 - 6.1. Which is smaller: q or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*l - 4117 - 914 = 4343 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-2*-6 + sqrt(114) + (sqrt(114) - (sqrt(114) + (sqrt(114) - -1*(sqrt(114) + 1*sqrt(114) + sqrt(114))))))\/(sqrt(24)*-1 + -2*sqrt(96)).\nAnswer: -9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3949338 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1356, 1361, 1366?\n\"Answer: 5*a + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w + 87. Let y be t(-7). Let o(r) = -r**2 + 2. Let u be o(2). Let f be (-15)\/(-1 + u) - 0. Is f <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-1134))\/(728\/(-312)*8\/(-70))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = 5*s. Which is bigger: 2\/15 or s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*n - 140 = 59*n + 39 + 85 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 276331.694 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*t**2 - 150*t**2 + 286*t**2 + 65 + 2*t.\nAnswer: -6*t**2 + 2*t + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643194 at most -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -1761\nAnswer: 11\/1761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t - 1. Let l(x) = -2*x**2 - 5*x + 21. Suppose -43*r + 42*r + 4*v = 32, -3*r = -3*v + 15. What is r*h(q) + l(q)?\nAnswer: 2*q**2 - q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52 + 3 - -35)\/((-2)\/4441) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = -1168. Let q be w\/(-14) - ((-6)\/21 - 0). What is the greatest common divisor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-138)\/115*2\/4*-5. Let y(i) = i**3 - 12*i**2 + 11*i + 3. Let m(u) = 12*u**2 - 1. Let g be m(1). Let v be y(g). Is k at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 6:14 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 4 + sqrt(1331) + sqrt(1331) + -4)*1)**2 + 2.\nAnswer: 220*sqrt(11) + 5351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*b**3 - 58*b**3 - 57*b**3 - 8*b**3.\nAnswer: -186*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 15, 0.0367, 8, -0.5 in increasing order.\nAnswer: -15, -5, -0.5, 0.0367, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/(-11) + 6\/(-33). Suppose -d*v - v = -220. Let i = -2 + v. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 7. Let k(b) = -b - 4. Determine -6*a(v) - 11*k(v).\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3361458*i**3 + 2680*i**2 - 341 wrt i?\nAnswer: -20168748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2787 + 8840. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q - 7. Calculate the highest common factor of 77 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 2*x + 28. Let c(d) = -d. Let o(y) = -3*c(y) - u(y). Let a be (-16 + (-48)\/(-3))\/3. Determine o(a).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 8\/3*z**3 + 86\/15*z**2 + 44\/15*z - 2\/15*z**4 + 0 = 0?\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7602 - 7578. Solve 0 = 8*d - i - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.205 - -0.105. Let s = i + 0.1. Let q = s - -4.9988. What is q rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24\/11 - 159\/88. Let p = -1 - 0. Sort t, -4, p.\nAnswer: -4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167153*v**3 - 2*v**2 - 8143*v.\nAnswer: 1002918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(416) + sqrt(416))*-6)\/(sqrt(96)\/(sqrt(108)\/(sqrt(9)*-2))) + 5.\nAnswer: 5 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267 divided by 89.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 10. Let v be r(-9). Let u be (66\/v)\/((-6)\/24). Suppose -2*d - 5*a + 66 = 0, 2*a - u = -d + 7*a. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 2*1*sqrt(110) - (sqrt(110) - sqrt(110)*-1)*-5)\/(sqrt(810) - sqrt(810)*2 - 2*sqrt(50)\/sqrt(5)).\nAnswer: -13*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1435*b**2*o**3*q - 2*b*o**3 + 7*b*o**2*q + b*o*q - 3*b*o wrt b?\nAnswer: -2870*o**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 3*m**2 + 5*m + 9. Let y be v(-4). Suppose 2*i + 1211 + 142 = y*t, -i - 273 = -t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -1.1. Let p be ((-260)\/(-1560))\/((-66)\/36). Which is the second smallest value? (a) 2\/27 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 325 * 924.\nAnswer: 300300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 2*o + 3. Let q be 2\/4*(-10 - -4). Let g be n(q). Is 2\/23 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -7.6. Let d = -2 - r. Which is the closest to -1? (a) 2\/5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-5 - 1)\/3. Suppose p*q - 2*q = -18. Let y = q - 5. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354 divided by -3.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-2 + 3 - (0 + sqrt(180) + -4))**2 + 5 + (sqrt(480)*-6)\/(sqrt(54)\/(sqrt(9) - sqrt(225)) - sqrt(6)).\nAnswer: -1164*sqrt(5)\/5 + 1674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 - 16576\/20. Let k be x\/6 - 12\/36. Let v = 173 + k. What is the common denominator of v and 36\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 47*j**3\/6 + j**2 - 14*j. Let h be k(2). Suppose -4*u = -4*w - h, u + 2*u + 3*w - 60 = 0. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:30 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.965 - 0.035. Let i = -1 + 3. What is the smallest value in -0.3, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/37960 and 23\/500.\nAnswer: 949000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 2*a + 364 + 2*a - 368. Determine q(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**2 + 6*x - 36. Let w = -10 - -6. Let j(p) = p**3 + 32*p**2 + 24*p - 144. Let n(g) = w*j(g) + 18*a(g). Factor n(y).\nAnswer: -4*(y - 3)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q - 2 = 0. Let y be (2 - -1) + (q - -3). Suppose -y*h + 4 = -4*h. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = 5*k, -5*k - 2 = -o - 9. Let p(b) = -b + 0*b + 734*b**2 - 4 - 200695*b**2 - 77816*b**2. Let l be p(o). Round l to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/5 in -2\/13, 521, 44, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-27)*(-6981)\/(-895).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + -4 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 3*o**2 - o + 4. Let q(b) = -3*b - 6. Let w be q(-3). Let f be x(w). Let l be -4*(f*-20)\/5. Solve l = 5*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-15 - -32) - (-1 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 77 - 47 + 19)*(4*u + 3*u - 6*u) to i*u + d and give i.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -19*k - 72. Let h be z(-4). Suppose -j + 4*c = -4*j, h*j + 3*c = 7. Solve 0 = -13*y + 12*y + j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -27 + (20 - 0) - 28.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2855145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35 + 3348\/(-72) + (5 + -4 - -12). Suppose -27 + 57\/2*h - m*h**2 = 0. What is h?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 - -0.3. Let r = j + -2. What is the nearest to -1 in r, 1\/8, -3\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -4. Let u be (v + 0)\/(6\/(-4)). Is 16 a factor of 9*(u\/(-3) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/12*146\/4*-6. Round i to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 320.17 + -320. What is i rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 619946 and 58?\nAnswer: 17978434","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 405435*t**2 - 4054441*t + 3649005.\nAnswer: (t - 9)*(t - 1)*(t + 405445)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-4 + 2 - -1). Solve -z - 4*z = k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/106169310 and -143\/3090.\nAnswer: 106169310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7361*p**3*q**2 + 1761*p**3 + 2*p*q**2 - 3*p*q wrt q.\nAnswer: 14722*p**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -73 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 854.6 + -10583.6. Let j = y + 9724.5958. Let p = j - -4.4. Round p to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1866384.72ns to days.\nAnswer: 0.000000021601675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.105 and -5.45?\nAnswer: 0.57225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12588 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:17 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1801, -481, 5, 3 in increasing order.\nAnswer: -481, 3, 5, 1801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03164 or -0.1545?\nAnswer: -0.1545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67326143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*b + 5*v - 143, 3*b - 171 = -4*v. Let o = 66 - b. Let k be (1 - 0)*(-9)\/(-3). Calculate the highest common factor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 4*u**2 + 6*u - 2. Let j be q(5). Suppose -2*l + j = -45. Solve -2*m + 4*c - l = 0, 4*c - 23 = 4*m + c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2196 = 4*m + 5*y, -1128 = -2*m + 5*y - 0*y. Let o = m + -331. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 13 = -4*z + 341, z - k = 81. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00246232 to five dps.\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, g: 4, k: 4, b: 3}. What is prob of sequence kbgb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47404779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*j - 40 - 25 = 0, -2*b - 3*j = -30. Solve 16*r - b*r = 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269 divided by -11940\nAnswer: -269\/11940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1309\/9 - -145. Let g(u) = -u**2 - 1. Let x be g(0). Which is the nearest to x? (a) 9\/2 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 595114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/3 + 36664*f\/3 + 168031112\/3 = 0. Calculate f.\nAnswer: -9166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45.86822 centuries?\nAnswer: 4586.822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from zwlwlwlwtttzllwwz?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:37 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1208 and 168.\nAnswer: 25368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202091*c**4 + 32*c**2 + 5*c - 41.\nAnswer: 4850184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.97 - -0.03. Let a = -0.71 + 1.71. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30103124 is divided by 2576.\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -10*s + 35. Let l = s - -7. Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 709908, 709909, 709910, 709911, 709912?\n\"Answer: y + 709907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -32*f**2 + 23. Let x(b) = -14*b**2 + 11. Let d(i) = -55*i**2 + 44. Let p(y) = 2*d(y) - 9*x(y). Let w(s) = -9*p(s) - 4*v(s). Differentiate w(u) wrt u.\nAnswer: -32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from poopoopuu. Give prob of sequence oupp.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*z + 5*z**3 + 21*z - 3*z**2 + 2*z**3 - 4*z**3 + z**3 + z**4 to u*z**3 + f + q*z**2 + h*z**4 + g*z and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.1 (c) -2.6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -310*d + 8748*d - 191*d + (1 + 8 - 6)*(-d + d + 2*d) to c + k*d and give k.\nAnswer: 8253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329.7 + 330. Put 0.05, 4, 1, 0.8, i in decreasing order.\nAnswer: 4, 1, 0.8, i, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**3\/3 + n**2 + 3*n. Let z be y(0). Suppose 13 + 1 = z*c. Are c and 7 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or 49?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (6 - (-8)\/(-2)). Solve 5*f = -4*a - 5, 2 = -a - 2*f - m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30159888 and 4112712?\nAnswer: 90479664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*s - 32 - 33, 0 = -3*n + s + 25. Calculate the highest common factor of 70 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154365 is divided by 2072.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000194402 to six decimal places.\nAnswer: -0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1864, 3725, 5586, 7447, 9308?\nAnswer: 11169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7517*o - 3107 = 7278*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16722012.\nAnswer: 2, 3, 23, 43, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*r - 8. Suppose 3*a - 19 - 2 = -3*z, -r = -z. Suppose 0 = 2*l - 3*l + g + 14, a*g - 80 = -5*l. 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 d(o) = o**3 - 2 + 0*o**2 + 0*o**3 + 4*o**2 - 2*o. Let t be 1*-6*(-4)\/(-8). What is the remainder when 23 is divided by d(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2242 and 9728.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 41 = l, -3*l - 3*u = -5*l + 93. Suppose -3*o = -18*o + l. What is the lowest common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4927, 5013, 5099, 5185, 5271, 5357?\nAnswer: 5443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 34*a + 1. Let n be l(1). Suppose 0 = 3*k - 2*z - 61, 68 = k + 3*k + 4*z. Let y = n - k. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = -132. Let k = 49 - c. What is the units digit of (-4719)\/(-55) + (-4)\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*w + 63*w - 125*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 246294*f**2 - 15165429900*f + 30329874632.\nAnswer: -(f - 123146)**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 339510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 429\/(-2)*4\/2. Let k = -13729\/32 - d. Let q(a) = 3*a**3 + 12*a**2 + a + 3. Let c be q(-4). Is c less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11229\/407 + -313\/11. What is the common denominator of z and (34\/(-85))\/((-36)\/2145)?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -344*j + 5833. Determine r(17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a7 (base 15) to base 10.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519489.\nAnswer: 3, 197, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11376811?\nAnswer: 43, 264577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -3, -2, -316, 0 in descending order.\nAnswer: 23, 0, -2, -3, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15322485, 30644993, 45967491, 61289973, 76612433, 91934865?\n\"Answer: -i**3 + i**2 + 15322512*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000053046 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 231*t**2 - 7322*t - 475. Determine p(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 929 = -1156. Which is bigger: 418 or s?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12) - 384\/(-9). Suppose g + 58 = 5*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Let b(o) be the second derivative of -o**3\/6 + o**2\/2 - 4*o. Let f be (2 - -4)*(2 + 40\/(-15)). Let v(t) = -t + 3. What is f*b(d) + w*v(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8)*216\/243?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290726828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.125 + 5.9\nAnswer: 5.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -31*s**7\/1680 - s**6\/30 - s**5\/6 + 4*s**2. Let o(j) be the third derivative of z(j). What are the prime factors of o(-3)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763 plus 38?\nAnswer: 3801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 4*w - 6 = -10*h, 0 = 3*h - w - 6. Suppose 0*s + 3 = i + 5*s, -3*i + 27 = -3*s. Solve i = h*v - 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glc when three letters picked without replacement from pnpglcp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6986 + 2626*h**2 + 6986 as q + a*h**2 + x*h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -27. Put -5, 0, a, 4 in increasing order.\nAnswer: -5, a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/112 + n**7\/7 + 5*n**6\/8 + 25*n**2. Let o(l) = 0. Calculate l.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2742 - 8096\/3. Which is smaller: 44 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279221332649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 - (-31 - -138) - -12.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.293045 millennia to decades.\nAnswer: 29.3045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24164*y - 24097*y - 67 = 0. Which is bigger: y or -3\/9898?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - i = 14, 5*y + i - 55 + 71 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 3*-57614)*((-64)\/(-8) + -9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 8244120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**2))**(1\/82)*(i*((i**(1\/3)*i)\/i)\/i)**(-35) assuming i is positive.\nAnswer: i**(-2861\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = h + 21, -3*h - 2*u = -8*h - 51. Let o = 13 - 7. What is the smallest common multiple of o and (h\/2)\/((-1)\/2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5207 and 1397.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-1 - 3 + 1)*(-4*k + 12 - 12)*(6 - 3 - 2 + (0 + 3 + 0)*(-1 - 4 + 1) + 1 + 3 - 3)*(-4 + 2 + 4).\nAnswer: 480*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287 - 282. Suppose -p = -5*o - 503, 0 = -2*p + f*o + 1105 - 84. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, i: 9}. What is prob of picking 1 m and 2 i?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.348711 micrometers in centimeters?\nAnswer: 0.0008348711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -53. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b**2*g*r + 85*b**2*g + b**2 + 39*b + 5*g*r**2 + 86*r**2 wrt g.\nAnswer: 8*b**2*r + 85*b**2 + 5*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -559701.12356248143 - -0.62358048143. Let w = v + 559701. Let k = -0.5 + w. Round k to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000187834948 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4\/7 + 3*b**3\/7 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 650 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -37. Let v = -9 + l. Is v at most 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462116845609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162613 and 1345253.\nAnswer: 14797783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, 0, -1, -4 in descending order.\nAnswer: 8, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-390)\/(-91)*(-1 - 0)*-1*21. Suppose -3\/2*f**3 - y*f - 108 - 21*f**2 = 0. Calculate f.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -785660*h**3*n**3 - h**3*n**2 - 360*h**3*n + 21*h**2*l*n**2 + 2*h**2*l - 4*h*l*n**3 wrt n.\nAnswer: -4713960*h**3 - 24*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - (-10)\/8. Suppose y = -4*m - 11 + 5, 4*m - y = -10. Is c\/((-3)\/(-60)) - m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -132?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 981*i - 178*i = -9532 + 42455 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 - 2 = 0. Let p be (-22)\/(-10) + r + 0. Which is the third smallest value? (a) -0.5 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2133468 < -2133467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k**5\/15 + 128*k**4 - 32768*k**3 + 1009. Factor c(g).\nAnswer: -2*g**2*(g - 384)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - k = 268, 8*k - 6*k + 268 = c. Let o = 410 - c. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -7*w + 496. Let b = w + -40. Suppose -b*k = k - 784. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**4 - 5*d**4 + 0*d**4 + (2 - 2 + 2*d)*(-2*d**3 + d**3 + 0*d**3) + d**4 + 2*d**4 - 4*d**4)*(2*d - 4*d + 0*d).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45131864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000661614 to 7 decimal places.\nAnswer: -0.0000662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 7*x - 10 = 0. Suppose -5*r + 35 = -x*k, -4 = -2*r + 5*k + 1. Let g(a) = -a + 8. Calculate the least common multiple of r and g(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y - 8. Suppose 2*x = 3*v - 87, -x - y = v - 28. Solve 2*z - 19 = -v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/6)\/(10\/30). Let t = 0.176 - 9.276. Let h = t - -9.6. What is the second smallest value in h, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44367, 105, -5, 4 in ascending order.\nAnswer: -44367, -5, -1, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*a + 7, -4*d - 5*a + 4*a = 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6454 (base 7) to base 11.\nAnswer: -17a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15326, 5, -10.\nAnswer: -15326, -10, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 6. What is the remainder when ((-45)\/12)\/((-4)\/48) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 = 0, -3*z + 6*z - l = 27. Suppose 3*y + 10 = -4*g, 3*g - g = 5*y + z. Which is greater: -2\/5 or g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j**2 + 9*j + 2. Let q(l) = 9*l**2 - 8*l - 2. Let f(t) = -5*g(t) - 6*q(t). Let n(p) = -4*p**2 - 13*p - 8. Determine -9*f(i) - 2*n(i).\nAnswer: -i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) + (-84)\/(-9). Suppose -2*q - 6 = 2*p - 4*q, -5*p + 3*q = a. Solve -4*o - 4 = -p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83100 and 21100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 936 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22303.101 rounded to the nearest 100?\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**3\/f)**(5\/2))**(-2\/91))**(2\/101) assuming f is positive.\nAnswer: f**(-20\/9191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773 + 3045 = 142*y. Solve -201 = y*b - 137 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzzz when four letters picked without replacement from hmzzzhhhzhzhzhhhhh?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**2 + 73759*l + 3*l**2 - 73526*l as b*l**2 + n*l + f and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 7*u + 29 = 4*i - 8*u + 93, 0 = -7*i + 4*i - 5*u + 27 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, -8, -377, -1212, -2699, -5024, -8373?\n\"Answer: -31*o**3 + 46*o**2 - 10*o + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87830527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhhyatatyala. Give prob of picking 1 l, 2 h, and 1 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r**2 + 17*r. Let k(g) = -g**2. Give b(k(o)).\nAnswer: -16*o**4 - 17*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 8*j**2 + 7*j - 11. Let i be p(-9). Let a(m) = m**3 - 6*m**2 - 5*m + 10. Let r be a(i). What is the greatest common divisor of 84 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 5*i = -567. Let n(h) = -h**3 + 6*h**2 + 2*h. Let l be n(3). Let s = i + l. What is the greatest common factor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000381974 rounded to seven decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + (0 + sqrt(76) - sqrt(19)) + sqrt(19) + 3)**2.\nAnswer: 20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.4 (b) 5 (c) -5 (d) -6\/11 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-151)\/(-3624))\/((-6)\/(-16)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 3. Suppose -26*v - 96 = -278. Let h(u) = -6*u + 7. Calculate v*y(d) - 3*h(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*c + 5*h + 23 = -97*c, -c - 2*h - 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*t**5 - 3557397*t**4 - 451987488953*t**3 - 5229600087879*t**2 + 8199577806840*t - 2517986672604 = 0. Calculate t.\nAnswer: -254094, -13, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 26855109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/9 + 14*v**3\/9 - 25*v**2\/9 + 4*v\/3.\nAnswer: -v*(v - 12)*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*k - 263 + 296 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10*(i**(-1)*i)\/i assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.86 - -0.7. Let n = -0.54061 + 0.44061. Which is greater: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10252 + 3513. What are the prime factors of j?\nAnswer: 5, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 x, and 1 h when three letters picked without replacement from {x: 2, h: 7, b: 6}?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*n - 22911*n**2 + 23110*n**2 - 566 - 27*n wrt n.\nAnswer: 398*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*z**2 - 1382*z**2 - 3 + 3.\nAnswer: -898*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5860459 divided by 20\nAnswer: 5860459\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 4*p**2 - 3*p - 7. Suppose 2*z - 3 - 7 = 0. Calculate the remainder when 3 is divided by w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4829\/14 - 349. Let z = -10007\/1030 + 8\/515. Find the common denominator of n and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15815 - 7883. Suppose -2*m + 5*n + x = 4*n, 3*m - 2*n - 11897 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1523 + 3031 - 1508 - 42534*u.\nAnswer: -42534*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*q - 12 = 0. Solve r = 4 - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -2*g + j - 88, j - 509 = 3*g. Let t = -101 - g. What is the lowest common multiple of 8 and t?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(sqrt(275) + -2) + 4)**2 + 2.\nAnswer: -120*sqrt(11) + 2493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -26?\nAnswer: 54\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvpnpvvppipopvvippvp. Give prob of sequence vv.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15 = -0*u. What is the third derivative of 2*q**2 - 3*q**u + 0*q**3 + 4*q**3 - 5*q**2 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25084.9 and 103.\nAnswer: -2583744.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 10*j - 4. Calculate q(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -126, -183, -242?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1828*h - 56371 - 6204 = 3233 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1436*g - 38454 = 914*g - 1857*g for g.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 11342 and -0.06.\nAnswer: 11341.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013 - 113?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 4, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h\/h**(15\/2))*h*h**(-13\/5) assuming h is positive.\nAnswer: h**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a2 (base 13) in base 14?\nAnswer: 4db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.320424ug to grams.\nAnswer: 0.000000320424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a\/a**(-18))\/a)\/a*a\/(a\/(a**5\/a*a)) assuming a is positive.\nAnswer: a**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Let g be (-160)\/(-805) + (-2)\/7. Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-14)*147\/(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 225, 2, 125, 1, 9, -3 in decreasing order.\nAnswer: 225, 125, 9, 2, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -33*t - 826. Calculate f(-34).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 575\/8625 + 584\/15.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 28 = f - 7, 3*f + 4*d = 61. Solve 4*a - 26 = 2*n, 0 = -0*a - 3*a + f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 198614*r + 598332 wrt r?\nAnswer: 198614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqeqgqtettgeqq. What is prob of sequence qq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 1 = j, 2*j - 10 = 4*s. What is the nearest to s in 0, -3, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-143)\/(-1551))\/(((-13091)\/(-114))\/53).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1016172*n**3\/5 - 136188*n**2\/5 - 11484*n - 3364\/5.\nAnswer: 4*(3*n - 1)*(291*n + 29)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 798 + 854 = 0. Let w be 3\/(-5) - (0 + (-1252)\/20). Suppose -p + w = -3*z. Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -273726*k - 308518 wrt k.\nAnswer: -273726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17902 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 945946127.99974 + -945712039. Let c = f - 234128. Let t = c - -39. What is t rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380080935 to the power of 1\/3, to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 7)*1 - -2. Calculate the highest common factor of 55 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 4*x + 7. Calculate the smallest common multiple of 20 and m(-7).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z. Let n(d) = d**2 + d + 9. Is 3 a factor of n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f)**(-8\/3)*f**6*f**4*(f*f**(-1\/4)*f)\/(f*f**(2\/7)*f)*f**(-1\/5)*f*f**(-1)*f assuming f is positive.\nAnswer: f**(1437\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/(-1) - 7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k**3 + 11 + 0*k**4 + 2\/5*k**5 + 19\/2*k**2 + 0*k. What is the second derivative of b(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138221 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -237 + 236.7. What is the second smallest value in k, 2\/5, 41?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 24*j + 26. Let v be w(-11). Solve -3*z + 3 = 3*s, 4*s + 1 = -z - v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 27*w + 2208 = 0. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*c - 2*c - 74 = 0, 4*c + 84 = -u. What is the lowest common multiple of -2 + 24\/9 - u\/12 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - -42. Suppose -251*f + 13200 = -11*f. What is the remainder when c is divided by f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1266.645 + 1270. Round y to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - b - 2*b. What is c(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 5, w: 1, h: 2}. What is prob of sequence rh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - -192 - (101 - -41)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 21. Let l be g(-14). Let p = l - -9. Suppose 0 = -p*n + 39 + 7. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2840 (b) -0.18 (c) 0.078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -10, -791\/19 in descending order.\nAnswer: -10, -32, -791\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*i**4 + 1889872*i**3 + 22672704*i**2 + 90683136*i + 120905728.\nAnswer: 4*(i + 4)**3*(15*i + 472288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -19204244\nAnswer: -57612732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1595 and 1182555?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25\/47 - -4765\/564. What is the common denominator of -101\/72 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -858756 - -7728866\/9. Solve 62\/9*s**4 - 10\/9*s**3 - 14\/9*s**5 - o*s**2 + 8\/3*s + 0 = 0 for s.\nAnswer: -1, 0, 3\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -2.1 (c) 5.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 y when four letters picked without replacement from {g: 2, b: 6, y: 1, i: 4}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 - 5*i - 4. Let v be y(2). Let t be ((-3)\/(-4))\/(6\/(-4)). Which is greater: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20010210212 - -22020?\nAnswer: -20010111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 13*z - 3. Let b be n(12). Let s = b - -27. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 4.07.\nAnswer: 4.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - d)*(1 - 3 + 3) - d + d - 2*d - 4 + 9*d - 7*d + 6.\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 178.393165.\nAnswer: -178.693165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1056 and 5016.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*p + 3*p + 21, -3*p - 31 = 4*d. Find the common denominator of (-6)\/d*272\/(-108) and -52\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((u*u**(-1\/4)*u*u)\/u)\/u))\/(u**(-7)\/u)*(u\/(u**(-3\/4)\/u))\/u*u**(-2))\/((u**7\/u*u**(-1\/4))\/(u*u**(-1\/2))**(-1\/21)) assuming u is positive.\nAnswer: u**(187\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c - 1064 = 38*c - 4*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 171 = -5*h, -4*b - 373 = 2*h + 401. Let o = b - -934. Suppose 231 = 3*w - o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from bwzwzzzwz.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 5:26 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/7)*m)\/m**6)\/((m**(-9)\/m)\/m**8) assuming m is positive.\nAnswer: m**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3 - 220*h**2 - 10752*h - 76032 = 0.\nAnswer: -24, -9, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 9)\/(-1*(3 + -2)). Solve 0 = -b*j + 6*j + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.73 rounded to 1 decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18776 - -18783. Suppose 4*y - 70 = 2*b, 4*y + 4*b - 1 = 39. Let r(j) = -j + 7. Let q be r(5). Solve -z*m - y = -q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-13 + (12 - 10))) + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/4 - 5*q\/2 + 11\/4 = 0 for q.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5)\/8*191\/(-955)*8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4)*(-1 - -1))\/(-2). Suppose -43 = -2*q + 3*w, 2*q + q - 3*w - 66 = j. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(3) + (2 + sqrt(3))*2)**2 - (sqrt(30)\/(3*sqrt(10) + sqrt(10)) - ((-1 + sqrt(3))**2 + 5)).\nAnswer: -57*sqrt(3)\/4 + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 80, 119, 158?\n\"Answer: 39*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18633530.735 to the nearest 100000.\nAnswer: 18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1849 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2 - 3 - 2*a + 3*a + 2900*a**2. Let x = -190 + 191. Let w be n(x). Round w to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1169674 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, -13, -14, -25, -52, -101?\n\"Answer: -k**3 + 4*k**2 - 2*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -538 + 526 - (0 - 24). Let t(h) = -4*h**2 + 51*h - 29. Calculate t(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54 + 2)*2\/(-4). Let g = 57 - x. Suppose f + 3*j + 12 = 4*f, 4*f - g = j. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94516 - 12443*n + 94516 to t + a*n and give a.\nAnswer: -12443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840863563 to the nearest integer?\nAnswer: 28998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:43 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 486 and 66825.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 194\/(-5) - (-5)\/(-25). Let d = -28 - u. Solve 0*n + 9 = 3*x + n, -2*x = -5*n + d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1127.4 + -1064.4. Which is the fifth smallest value? (a) n (b) 0.3 (c) 7 (d) -0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 + -13 - (-8)\/(-2). Suppose 5*z = 3*z. Suppose 5*y + c - f*c - 28 = z, -19 = -3*y + 4*c. Solve -5*t + t - 16 = 0, 2*n - y*t = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.5, -0.3, -1185, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*t - 539 - 165 = 248 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*m - 93*m - 10946 = 0. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*m - 61*m = -2*u + 8, m - 2 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/6)\/(-2 - (-33)\/15). What is the third derivative of -7 + 38*i**3 - 134*i**3 + f - 35*i**2 + 42*i**2 wrt i?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d - 1. Let o(z) = 2 - 6 + 4 - z. Give -4*o(b) - s(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -34. What is the third biggest value in 3, t, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(275) + -2))**2.\nAnswer: -320*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.6, 16830, 22 in descending order.\nAnswer: 16830, 22, 4\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 141c9d (base 15) in base 16?\nAnswer: ec5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - -2)*(-150582)\/(-18)*-1.\nAnswer: 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -2)\/(-2 - -3). Suppose 5*l - 10 = -v*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544589261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1574*v + 1 + 1563*v - 1 to y + d*v and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1944)*-1 - (sqrt(24) + sqrt(600))*1)\/(sqrt(432) - (sqrt(432) + -3*sqrt(432))*-6) + 1.\nAnswer: 5*sqrt(2)\/22 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/(-16) - 1\/4. Let j(w) = 0 + h + 11*w**2 + w - 12*w**2. Let c(x) = -2*x + 28. Let g be c(14). What is j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n - 13 = -x, -2*x + 16 = 5*n. Suppose 4*a - a = 4*t - 45, -3*t = -x*a - 33. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/15 + 18\/30. Which is smaller: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1939\/6 - 320. Calculate the common denominator of -61\/4 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d - 37. Calculate the lowest common multiple of p(-7) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -12. Let x be (o\/10)\/(3\/405). Suppose 21 = 5*s - x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y + 31. Let p(v) = 3*v - 8. Let o(j) = -9*p(j) - 2*z(j). Let b be o(6). Suppose 190 = a + b*a. Does 27 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = -3*d + 14, d - 3*x = 16. Suppose 5*k - 26 = -d*g - 0*k, -4*k = -4*g + 8. Put g, -5, 1, 10 in increasing order.\nAnswer: -5, 1, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.38 + 0.08. Suppose -3*n - a + 4*a = 6, 22 = -4*n - 3*a. Let f be ((-15)\/6)\/(n + 1 + 1). What is the third smallest value in b, 7, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1652.99999924 + -1653. What is n rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -463.\nAnswer: -138.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7526\/59, -16, -2\/15?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(3 + -5 - -3). Is n + 19*(11 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 - 19 + 19 + (1 - 1 + r)*(-1 + 1 + r**2).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 15) to base 4\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 19*j**2 - 25*j - 80. Determine g(17).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose -17*t = -0*t - 170. Let f be ((-72)\/(-15))\/6 + 172\/t. What is the highest common divisor of f and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2834368781 + -4.\nAnswer: -2834368785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203.81*0.5.\nAnswer: -101.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/(-171) - 515\/(-9). Suppose -z + s = 50. Suppose -3*c - 908 = -z*c. What are the prime factors of c?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3955 divide 5867543548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 0.1. Sort s, -0.07, -4 in decreasing order.\nAnswer: s, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12349 - 30*t + 12349 + (2 - 4 + 0)*(4*t - 5*t - t) + 2*t - 3*t + 3*t + 2*t + t - 4*t.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 751355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32*1*(0 - -1) is divided by (-11)\/(3\/9*-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-2*n + 0 + 0) + n - 5 + 5 + 88*n + 4032*n + 3707*n - 2110*n.\nAnswer: 5720*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**4 - 1216*o**3 + 70296*o**2 - 1345600*o - 390224.\nAnswer: (o - 58)**3*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(260\/(-44) + 6). Let a(o) = o**2 - 2 - 6*o + 16*o + 4. Let d be a(-11). Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1) + (-7)\/(28\/8). Let y(l) = -l**3 - 5*l**2 - 5*l - 5. Give y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 81, 82, 83, 84?\n\"Answer: c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*l = -201, 4*g + 2*l + 199 = 1025. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 310.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.075 + 27.075. Put a, -0.062, 2\/7, -5 in decreasing order.\nAnswer: 2\/7, -0.062, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 3 = 0. Let i be 17\/(-17) - ((-2)\/1 - 38). Suppose 39 = -s + i. Solve s = f + 4 - g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5 + 401*v**4 - 1593*v**3 + 1987*v**2 - 794*v = 0 for v.\nAnswer: 0, 1, 2, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*t + 322 = -2424, -5*t - 2045 = -3*a. Let p = a - 394. List the prime factors of p.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.76 times -38.4\nAnswer: -67.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -4, -5, 3, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 810*i**2 - 2. Let t(m) = -2*m**2. Determine t(o(c)).\nAnswer: -1312200*c**4 + 6480*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.021 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + -1 - 805\/69. Let n = 15 - 18. Sort y, 0.3, -2\/13, n in descending order.\nAnswer: y, 0.3, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + q + 10. Let c be w(0). Let r(b) = 14*b - 8. Let u be r(c). Suppose -5*f - 4*h = -u, h = -f - 0*h + 26. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179 + 181. Let t = l + 210. Calculate the remainder when t is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5456786 is divided by 1896?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -s - 14, 2*s + 21 + 1 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5600)*-2 - sqrt(56))\/(sqrt(96)\/sqrt(192) - sqrt(8)).\nAnswer: 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5\/4)*q*q)\/(q\/((q*q**(-2\/25)\/q*q*q)\/q)))**(3\/23) assuming q is positive.\nAnswer: q**(201\/2300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60612 + 64034 = 59*c + 59*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 3*m + 1. Let y be i(-8). Suppose 51 = -4*p - y. Let x = p + 25. Are 5 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0, -2\/11, -0.37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8397*u**2 - 1116*u**2 - 7328*u**2 - 1484*u**2.\nAnswer: -18325*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00452673 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.13 - 14.87. What is the closest to 2\/9 in -0.3, w, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {r: 1, y: 2, k: 1, q: 1, d: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*z + 9, -9 = -48*q + 52*q - z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 + 3*o**2 - 2*o - 4. Let q(y) = -y**3 - y**2 - y. Let c(n) = -2*q(n) + w(n). Determine c(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.55158 millilitres to litres.\nAnswer: 0.04455158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = 20*j - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287157927 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)\/r*r**(-2\/19)\/r*(r\/(r\/r**(3\/4)))**(11\/3))**(-1\/88) assuming r is positive.\nAnswer: r**(-71\/20064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-12)\/(-8))\/(2\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 12 - (4 + -9 - -11 - -8 - 50)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 86.39745 decades?\nAnswer: 863.9745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4))\/(15\/20). Factor -t*n**3 + 0 + 0*n**2 + 1\/3*n.\nAnswer: -n*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 4. Let s be 10\/(-12)*(0 - 6). Let z(y) = y + 5. Determine s*z(j) - 6*a(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 9 = -3*k, 3*k = -14*y + 18*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 274798 from 127.\nAnswer: -274671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 13 + 79 = 0. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20628*a**5 - 6218*a**4 + 84740207*a**2.\nAnswer: 1237680*a**2 - 149232*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/36*3*(-16)\/(-3). Put -1, 29, 5, m in descending order.\nAnswer: 29, 5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10372*r**2 - 8*r. Let a be y(-9). Let b be (13552096\/a)\/(-8) + -2. Let t = -1\/1795 - b. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21581*m + 38*m**2 - 33*m**2 - 3 + 2493*m.\nAnswer: 5*m**2 - 19088*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4013051 to two decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wewa. What is prob of sequence awe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 7*g - 2*g. Suppose 2*b = b - c - g, 2*c = -b - 20. Let l = 19 + b. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, 1586 in increasing order.\nAnswer: 1, 13, 1586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(147) - (3 + sqrt(147)*2))*-2 + (sqrt(1728) - (3*-2*sqrt(1728) - sqrt(1728))) + sqrt(1728) + -1*(sqrt(1728) + 1))**2.\nAnswer: 127308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 3. Suppose -15 = r*s - 3*a, 0 = -3*s + s + 4*a - 10. Let p be (3 - s\/(-2))*0. Solve v - 5*u + 4*u + 3 = p, -5*v + 2*u = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-8 + 5 + -3). Let a = -1 + x. Solve 4*v - 5*v - a = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25199, -100804, -226811, -403220, -630031, -907244, -1234859?\n\"Answer: -25201*j**2 - 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24864 and 4884?\nAnswer: 273504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - (3 - (-2 + 7)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m**2 - 4*m. Suppose 0*j + 10 = 5*j. Let w(o) = -15*o - 129*o**2 + 41*o**j + 48*o. Let l(x) = -33*n(x) - 4*w(x). Let d(f) = f. Determine d(l(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**3 - 22*r**2 + 3*r + 1. Let v(s) = 5*s**3 + 22*s**2 - 4*s - 2. Determine 4*m(u) + 3*v(u).\nAnswer: -u**3 - 22*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1867 divide 730502957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 48697 + 39552 = 4*f, 0 = -5*f - 4*o + 110303. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 4*(0 + sqrt(2) - sqrt(2)) - sqrt(98)*3.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4785139395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -65*a - 249. What is z(-5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 17420 + 5660. Calculate the highest common divisor of 210 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365 + 15*o**3 + 401 - 766.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3051 (base 8) to base 12\nAnswer: -ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.02799mm?\nAnswer: 2027990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3038*y - 3031*y + 7*y**4 + 6041*y as h*y**2 + j*y**3 + o*y + d*y**4 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 19 = 2*i + 34, -3*v - 54 = 5*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d - 4. Let l = 60 - 58. Let y be u(l). Let n be y\/10 + (-8514)\/15. Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11201001221 (base 3) to base 2.\nAnswer: 10110100111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1935 and 5.\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 24*g - 18. Determine q(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**2 + 0 - 1\/20*w**5 - 3*w - 1\/3*w**4 - 1\/3*w**3. Determine m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 4. Suppose 4*n - 2*z = o*n + 63, 0 = -3*n - 4*z - 185. Let q = n + 100. What is the remainder when q is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 169*c - 409. Calculate m(-159).\nAnswer: 1181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 86. Suppose -2190 = i*x - 3*r, 0 = 2*x + x - r + 1318. Let v = -265 - x. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40965.3532 - -0.39\nAnswer: -40964.9632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59*v - 30 + 24*v + 26*v**3 + 22*v**3 - 43*v**3.\nAnswer: 5*(v - 3)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 85*j + 34. Let p(q) = -92*q - 28. Determine 6*p(c) + 5*v(c).\nAnswer: -127*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 449809681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -16 + (-1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 101\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5707768 is divided by 644.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**3 + d. Let z be b(-1). Let i be 3 - -1*3\/z. Solve 3*w - q - 14 = 0, 0 = -i*w - q + 6*q + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255 (base 8) to base 12\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 12*b**2 + 11*b. Let p(r) = r**2 - r - 1. Let d be p(4). Let n be k(d). Suppose n = -2*c + 3*c - 19. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113102303 - 1012?\nAnswer: -113103321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7241*u**3 + 1634*u**3 + 2071*u**3 + 2063*u**3 + 2021*u**3.\nAnswer: 548*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 29*g + 1. Let s be q(1). Suppose 4*u - 5*o = -s - 62, o = -u - 23. Let d = u + 48. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v + 2. Let g be w(-3). Suppose 0 = -4*y - 2*y + 12. Let x(l) = -4*l**y + 1 - 3*l + 2*l + 19*l**3 - 20*l**3. Give x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:01 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(1\/14). Let p be ((-4)\/g)\/(6\/21). Solve -p*z + 8 = -6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3764, -7462, -11160, -14858?\nAnswer: -18556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10757045 and 2379.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 536, 538, 540, 542?\n\"Answer: 2*p + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -217 - -771. List the prime factors of b.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c297a + -3?\nAnswer: -3c297d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23400617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5093 and -85\/6482.\nAnswer: 71302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/((208\/168)\/13). Calculate the smallest common multiple of 4\/2 + 1 - (-50 - l) and 22.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.62 + 1.7. Let n = w - 5.92. Let h = 0.28 + 0.04. Which is the biggest value? (a) -5\/3 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.9 + 49.1. Let f = m + -21. Let h = f - 9.2079. What is h rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -170, -266, -378, -512, -674?\n\"Answer: -s**3 - 2*s**2 - 83*s - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -14*x + 856. Suppose 5*i + 287 = -x. Let k = i - -210. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g - 17. Let d(u) = 183*u - 273. Let a(t) = 2*d(t) - 33*x(t). Determine a(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3)\/(1\/38). Let b = d + -33. Solve -c + 0*c = -b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21416 + 34993. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*x**4 + 988418\/5 + 845*x**3 + 692455*x + 1492471\/5*x**2 = 0. Calculate x.\nAnswer: -703, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12177*b**2 - 453*b + 7 wrt b.\nAnswer: 24354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:31 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -87*g**6\/10 - 31*g**3\/3 + 267*g. What is the second derivative of r(t) wrt t?\nAnswer: -3132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 18. Let q = r - 1. Suppose -2*g = -q*g + 12. 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: ((0\/(-2))\/((-16)\/(-8)))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**5\/35 + 285*i**4\/14 - 81793*i**3\/21 + 80940*i**2\/7 - 80656*i\/7 - 731. Factor v(p).\nAnswer: -(p - 284)**2*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*v + 4*n, -4*v + 8*n - 12 = 6*n. Let t(k) be the first derivative of k**3\/3 + 4*k**2 + 6*k - 5. Calculate t(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1510*q**2 + 548*q**2 - 1700*q**2 as w + n*q + r*q**2 and give r.\nAnswer: -2662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3 in decreasing order.\nAnswer: 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -3*x + 28, 115*x - 13 = 117*x - 3*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1071383390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k - 2. Give q(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. Suppose -l + 72 = 3*o, -o + 15 = g*o. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3*r*r)**(-30)\/(r\/(r*(((r*r**1*r)\/r)\/r)\/r)*r*r*r\/((r**(-10)*r)\/r*r)))**(26\/3) assuming r is positive.\nAnswer: r**(-1664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4373821922?\nAnswer: 2, 181, 12082381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 68*w + 0*w**2 + 2*w**2 - 68*w. Let o(g) be the second derivative of -g**4\/6 - g. Determine h(o(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*l + 78*l - d = 599, 5*d = -2*l + 569. What is the remainder when 389 is divided by l?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 24*d - 63. Let b be v(3). Suppose -b*j + 520 = j. Calculate the greatest common divisor of 91 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000101111110011 - 11110?\nAnswer: -10000000110000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 3*u. Let p = -594 - -599. What is i(p)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = -3*k. Suppose 2*r - 4 = -2*w + 2, 0 = -5*w + 5*r - 25. Put w, k, 3 in increasing order.\nAnswer: k, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -318.39 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, 0, -159, 5, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g**2 - g)*(-5*g + 7*g + g)*(5 - 1 - 2)*(156 - 491 + 130).\nAnswer: -3690*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227950 and 632440?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a**2 - 4*a + 2. What is i(-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5633, -5636, -5639, -5642?\n\"Answer: -3*p - 5630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 1530*w.\nAnswer: -5*w*(w - 306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -806*r**2 - 57239 with respect to r.\nAnswer: -1612*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.409 and 98.6.\nAnswer: 89.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -842, -847, -854, -863, -874?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74426*w - 2*w**2 - 74426*w + 41.\nAnswer: -2*w**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224239806 divided by 189.\nAnswer: -1186454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 0.496?\nAnswer: -0.03968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h + 4*u + 178, 0 = 5*u - 5. Suppose 0*n = -4*n + 560. Let c = n + h. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 - 113. Let z(y) = y**3 - 24*y**2 + 7*y. Does 12 divide z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -159*i**4\/8 - 616*i**3\/3 + 160*i**2 - 4. Differentiate u(f) wrt f.\nAnswer: -477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 55\/15 - (-1 + -2 - -6). Which is the biggest value? (a) k (b) 4 (c) -1\/3 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 559\/86.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 44. Let p be 8\/3 - 6*(-10)\/45. Suppose 0 = -2*y - p*n + 44, 5*n + 27 = 4*y - 74. Calculate the greatest common divisor of u and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -21 - 8 - 6)*(-3 - 3).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1145 and 10964291?\nAnswer: 54821455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20157*d**4 + 121*d**2 - 6198230 wrt d?\nAnswer: 80628*d**3 + 242*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13645 (base 7) to base 12\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 3, y: 2, r: 4, q: 1}. What is prob of sequence dqy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-42))\/(1\/14). Let u(i) = 69*i**2 + 9*i - 25. Let b be u(c). Suppose -3*q - 1505 = -d + 1766, 0 = 3*d - 4*q - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 - 6)*(-2 + 3 - 2)*(-1 + 4 + 20*a - 21*a).\nAnswer: 7*a - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -88.5. Let y = 10.02 + -0.02. Let a = -15 + y. Sort a, 4, h.\nAnswer: a, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/3749296?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2785 divided by -5\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 0*d**2 - d**2 + (-5 - 7 + 18)*(-d - d + d)*(-3*d + 3*d - d) + 0 + 0 + 2*d**2 to s*d + a + x*d**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1145793 and 13\/21?\nAnswer: 8020551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2 + 0 + 1 - 3 + (3 - 4 + 2)*(-1 + 1 + 1) + 2 + 0 - 3 + 4 - 1 - 4 + 4 - 2 - 3 - 1 + 1 - 1 + 2 + 1 - 1)*(-4 + 4 - 4*w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 41 in ascending order.\nAnswer: 2, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 25392432*k. Let r(m) = -18*m**2. What is h(r(o))?\nAnswer: -457063776*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 480 = i, -4*i - i = 0. Suppose 6*r + 16 = x. Suppose -2*m + 8 = -r. Calculate the greatest common factor of m and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10)*1635\/(-218). Let -2\/7*d**q - 6\/7*d**2 - 2\/7 - 6\/7*d = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 31*r - 1459. Determine c(-59).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 466944 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 720, 1124, 1564, 2046, 2576, 3160?\nAnswer: 3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099399 rounded to seven dps?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*j + j - 26, 3*x + 14 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - 19. Let x be m\/18 - -33*1\/2. What is the third derivative of -6*v**5 + x*v**5 + 13*v**5 - v**2 wrt v?\nAnswer: 1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/72 and -41\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*c**2 + 292 + 308 - 600 - 4*c + 3*c.\nAnswer: -366*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -23. Suppose 4*s - 24 = 3*m, -4 = -s + q*s + 4*m. Let f be -4 + -3 + (s - 4). Which is smaller: f or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 26) + (-25 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 2*x**3 + x**3 + 17*x**3 - 3*x**3.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7486 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 s(r) = 384*r + 28464. What is s(-69)?\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 7:30 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2998 - -2999. Let h be (-3 - (-36)\/10) + (-306)\/460. Which is bigger: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 + 65*n**3 - 461*n**2 + 235*n + 2850 = 0 for n.\nAnswer: -2, 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 93*y + 63. Let s be a(-47). Solve -4*i + 8 + s = 2*m, 5 = i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231403 - 5?\nAnswer: 231376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 66039 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 46727 (base 12) to base 11\nAnswer: 64984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339312 a multiple of 998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289 + -2638\/9. Find the common denominator of o and 52\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -13*n**2 - 248*n - 1872. Determine d(-7).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/11 + 29*c**4\/11 - 41*c**3\/11 - 1261*c**2\/11 - 1976*c\/11 + 3248\/11 = 0.\nAnswer: -29, -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -4, 2, -2\/3, 44?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4738811 is divided by 332?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 3484.\nAnswer: 10452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62268, 62294, 62320, 62346, 62372?\nAnswer: 62398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 u, and 1 a when four letters picked without replacement from {a: 3, x: 2, u: 1, i: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2, -615, 4, -4, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 5:17 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = 2*n - 28. Suppose -4*h + 5*j + 0*j = -525, 652 = 5*h - n*j. Calculate the remainder when h is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1221109351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60325056 divided by -48.\nAnswer: 1256772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**3 - 10*o**2 + 6*o - 1. Let v(h) be the first derivative of 5*h**4\/4 - 3*h**3 + 5*h**2\/2 - h + 1. Let g(k) = -4*n(k) + 5*v(k). Determine g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1332*c - 8899 = 2141*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4283, -4134, -3879, -3512, -3027, -2418, -1679?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1128*t + 163 + 111 = 1290 + 1240 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4719 - 0.16158471.\nAnswer: -4719.16158471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(98) + 0)**2 - sqrt(98)) - (sqrt(98) + 6*(sqrt(98) + sqrt(98) + 0)).\nAnswer: -98*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 481888*m - m**2 + 481888*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 66. Let t(c) = c - 44. Calculate 8*t(g) - 5*z(g).\nAnswer: -2*g - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*j*w**2 - 1500*j + 5604*w - 21 wrt w?\nAnswer: -16*j*w + 5604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 1. Let w(u) = -12*u**2 - 10. Let j be (0 + 3)*20\/6. Let c(t) = j*b(t) - w(t). Let v(f) = 2*f - 5*f + 2*f - f. What is c(v(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*h - 2. Suppose -5*o - 4*m + 5 + 41 = 0, o - 7 = -3*m. Suppose -c + h*c = o. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 2*g. Let t = -10 - -16. Suppose -s + t*s = 10. Determine q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(19) - (sqrt(19) + -2 + sqrt(171))) + (0 + sqrt(475))*-4)**2.\nAnswer: 68*sqrt(19) + 5495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3072 or 3106?\nAnswer: 3106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -6*m + 3*m - 2*q - 14, m - 51*q = -15*q + 181 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -15*k - 7*k + 20*k. Suppose 0 = 4*b + 4*f + 20, -5 + 4 = -4*b + 3*f. Let v be (-26)\/6 + b\/3. Let c(h) = 2*h. Calculate v*s(t) - 6*c(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2665.234cm to kilometers.\nAnswer: 0.02665234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 9 + 3, -y - 10 = 2*m. Let p = -4 - y. Suppose 4*w + 2 - 34 = p. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*w + 8, 2*w = 3*w + 3*d - 14. Let r(b) = -b + 0 + 2 - 2*b. What is r(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 1 = -15*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274534944?\nAnswer: 2, 17, 31, 47, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 640.3679 nanograms?\nAnswer: 0.0000000000006403679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 92.79155+904384\nAnswer: 904476.79155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**3 + 165*w**2 + 3800*w - 60720 = 0.\nAnswer: -23, 12, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/3, 1, 2\/3, -27, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -2, -3\/7, 0.38, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76) + -1 + (sqrt(76) - (sqrt(76) + sqrt(76)*-2)*2)**2 - (2*sqrt(76)*2)\/((sqrt(36) + sqrt(144) - sqrt(36))\/sqrt(9))) + -3 + 1.\nAnswer: -6*sqrt(19) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5948, -6751, -8944, -13223, -20284, -30823?\nAnswer: -45536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2. Let k = 24 + -7. Let n(m) = -17 - 16*m + k. Determine n(y(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w + 360*w - 99*w - 95*w - 93*w.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21485217 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 203*h**2 + 621*h - 4000. Let l be o(200). Factor -1\/8 - l*q**2 - 10*q.\nAnswer: -(40*q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*q + 274*q - w + 34 = 0, q = 4*w + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Let s(l) = 5*l**2 - 1. Let r be s(-1). Suppose 5*g = -r*i + 1010, 15 = w*i - g - 1007. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000062742634 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 61*i + 46 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.007 - 6. Round u to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82165607 to 4 dps.\nAnswer: 0.8217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**5 - x**5 + 3*x**5 + (10*x - 12*x + 82*x**3 - 85*x**3)*(-3*x**2 + 0*x**2 + 5*x**2 + 1 - x**2 - 1 + (-2 + 2 + 2*x)*(-x - 2*x + 2*x)).\nAnswer: x**5 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i**3 - 18*i**3 - 3*i**3)*(-2*i + 6*i + i + 1) as k*i + g*i**2 + s + f*i**3 + p*i**4 and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/33*(3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 5336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s - 30. Suppose 3*a - 67 = -3*j + 74, 3*j = -s. Let h be (-3)\/2 + 94\/a. Is 1 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 x when three letters picked without replacement from {a: 2, c: 1, t: 2, x: 2, q: 12}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -19. Suppose -4*b + 3*h - 21 + a = 0, 0 = 4*b + 2*h + 10. What is the tens digit of (-107)\/b + (-7)\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 132\/20 - 6\/10. Let g = 6 - b. Solve a = -3*z, g = -3*a + a + 5*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6083628 is divided by 1865.\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a*a)**42\/(a\/((a\/a**1*a)\/a*a))**(-47)*((a**0\/a)**(2\/63))**(-3) assuming a is positive.\nAnswer: a**(-880\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 10*t**2 + 12*t - 11. What is h(-11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103168 is divided by 25761?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 26 = 121. Let q(b) = -2*b - 37. Let p be q(z). Solve -10 = 3*m + 2, 2*m = -p*r + 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 8 - 32 - y + 0*y + 17 to f + d*y and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 44. Calculate the remainder when -104*(r - -3)*3\/6 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p - p + (6*p - 5*p + 0*p)*(2 + 0 - 1))*(4*p + 3*p**2 - 4*p) + (p - p + 3*p)*(-2*p**2 - 1 + 1) - 4*p**3 - 2*p**3 - p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 12*h - 9. Let u be i(5). Let c = 1 - 2. Let y be (2\/5)\/(c\/(-5)). Calculate the highest common factor of y and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -542\/71 + 1484\/213. Let n = 0.4 - 0.2. Which is the biggest value? (a) o (b) 1\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -41. Which is the second smallest value? (a) h (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13255 + -13126. Solve 5*b - 134 = -2*o - h, -b = -3*o + 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -5\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -30, -1\/2, -1983, 2\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2140 and 1389181.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -1 - (0 - -1)) + -114 + 37 + 31?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - (2 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f*l**2*u**2 - f*l**2 - 52*f*u**2 - 1639*l**2*u wrt u.\nAnswer: -22*f*l**2 - 104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 952*o. Let q(u) = -78*u - 203. Give q(b(w)).\nAnswer: -74256*w - 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o + 135 = 2*p, 3*o = -3. Suppose 2*g - 52 = 5*k - 3*k, 0 = g - 3*k - 34. Calculate the greatest common divisor of g and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1080 and 19836.\nAnswer: 595080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -22*t - 3*t + 11*t. Let h(a) = 3*a. What is q(h(j))?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3790 + -1869. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74490507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Let j(z) = 2*z - 8*z + 10*z + 22*z. What is i(j(o))?\nAnswer: 1352*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4524\nAnswer: 1\/4524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*s + 426, 4*i - 186 = -2*s + 220. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805141 (base 9) to base 7.\nAnswer: 4022131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 2:53 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 226, 7.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 6*j**2 - 4*j - 4. Let x be l(-6). What is the units digit of (32\/x)\/((-2)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = d - 45, 16*d + 5229*g - 175 = 5226*g for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4, j: 4, v: 1, r: 3, p: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11286 divided by 6.\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 1\/7, 5, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16010 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1639, -35, -1709, -3383, -5057, -6731?\n\"Answer: -1674*v + 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 32*a - 14. Let w be m(15). Let c(x) = -6*x**3 + 75*x + 84*x + w*x**3 - 160*x. Let v be (4\/6)\/(2\/(-3)). Give c(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -296 in 2, -0.3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 342040057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23850625 to the power of 1\/2, to the nearest integer?\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 7\/3*q**2 - 8\/3*q - 150 - 4\/9*q**3 - 1\/6*q**4. Find d, given that o(d) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.49370762 + 17.5062928. Let p = l + -45. Round p to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43017 divided by -14339\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 2 + 2 + (-w**3 - 2*w**3 - w**3)*(-1 + 3*w**2 + 1) + (678*w - 678*w + 26*w**2)*(3 - 3 - 2*w)*(1 + 2*w**2 - 1)*(-5 - 1 + 2).\nAnswer: 403*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 1 + 9 + 11 + -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266294 is divided by 156.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2366665*l + 10. Let d be g(6). Round d to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -8. Let h = 21 - 11. Let y = g + h. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 806 - 803. What is the highest common factor of 27 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -0.166\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1183864 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/19 (b) 17\/8 (c) 1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.21 and 1.205?\nAnswer: 2.66305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:55 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 82)*63\/252. Let z(a) = -a**2 + 18*a + 65. Determine z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.93 > 0.295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 3*f + 6. Let p(h) be the third derivative of -h**5\/60 - 13*h**4\/12 - 10*h**3\/3 + 42*h**2. Let x be p(-25). Give r(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -703, -745, -113, 1187, 3149?\n\"Answer: -c**3 + 343*c**2 - 1064*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (214\/(-56) + 33\/(-77))*-52. Calculate the highest common divisor of 52 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2183 and 1739.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.3, -15, -10, 9.62?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 40. Calculate the highest common divisor of x and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 73*g - 1142. Calculate p(50).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -2)**2*-1.\nAnswer: -1876 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 + 2 - 2)*(4*b + 3*b - 5*b) + 6*b**3 + 16 - 10 - 5 as u*b**3 + s*b**2 + j*b + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 2640 = 2256 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 494*b**2 + 3*b - 7. Let f be k(3). Suppose f = -20*l + 24828. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 623\/5. What is the closest to 0.1 in -5, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6918 * -511.3\nAnswer: 3537173.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5149c (base 13) to base 16.\nAnswer: -2398f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*k - 8*w - 364, 472 = 5*k - 2*w. Let l be 8\/84 - 40\/(-21). What are the prime factors of (l - 5)\/((-9)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 13. Let a(l) = l**2 + 2*l - 17. What is the least common multiple of a(-6) and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10347 (base 13) to base 3.\nAnswer: -1110221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-2) - 225552\/(-12700))\/(2\/60*8)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2500 times 1.1\nAnswer: -2750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -40745.8 rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/2 (b) -15.4 (c) 3\/8 (d) 3\/1036 (e) -1 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + j - 1 - 5*j)*(100*j + 9*j - 208*j) in the form a*j**2 + r + p*j and give a.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) + -4 + -4 + -2))**2.\nAnswer: -20*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 0*r**7 + 0*r**5 + 0*r**6 + 0*r - 7\/12*r**4 + 0*r**3 + 1\/42*r**8 + 0 - 18*r**2. Find the second derivative of t(w) wrt w.\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 16, -k + 2*y = -y + 7. Let r(q) = -3 + 4*q**3 - q + 4*q**2 - q - k*q**3 + 4*q. Let t be r(3). Calculate the highest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21876 - -0.41876. Which is the third smallest value? (a) -8 (b) 0.3 (c) 1 (d) 86 (e) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 + -209. Let j*y**2 + 5*y**4 - 22*y**3 + 8*y**3 - 10*y**3 - 16*y**3 = 0. Calculate y.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 4:49 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327109*q**5 - 10*q**4 - q**2 + 173662 wrt q?\nAnswer: -19626540*q**2 - 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**4\/12 + o**3 - 3*o**2\/2 + o. Let u be w(4). Let d be (-4)\/(-7)*231\/66. Solve 0 = -d*h - 1 + u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 613 - 638. Which is the second biggest value? (a) n (b) 2.4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from cporpqcpoqrpccqr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 9*k - 1. Let o be u(-6). Suppose -3*p - 2 + o = 0. Let v(z) = 0 + 6*z**2 + 6 - 2*z**3 + z**3 - p*z. Determine v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 11*k + 0*k**2 + 0*k.\nAnswer: 2*k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 2203573?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**9\/2520 + s**8\/1680 - 5*s**4\/4 + 15*s. Let q(u) be the third derivative of f(u). What is a in q(a) = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 2082176845.\nAnswer: 2082176845.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 120*m**2 + 558*m + 10. Give s(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429 + -159. Let f = n + -188. Calculate the highest common divisor of 410 and f.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 + -119. Find the first derivative of -37*i + 244*i - b*i + 51 - 57*i wrt i.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:18 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.6 - 28.81. What is s rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(49\/7) + 105. Let x = v + -89. Calculate the remainder when 76 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1 + (2 - -4) + -5. Solve -o - 6 = v*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5 - 1087*x**4 + 15401*x**3 - 14565*x**2 - 277776*x - 356724 = 0.\nAnswer: -1101, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 36. Let z(m) = -i*m + 22*m - 40*m. Let k(b) = 5*b. Determine 55*k(l) + 6*z(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/3 + 4*n**4\/3 + 2*n**3\/3 - 4*n**2\/3 - n = 0. What is n?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43791, -87634, -131703, -176112, -220975, -266406, -312519, -359428?\n\"Answer: -19*s**3 + s**2 - 43713*s - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25142*-62.\nAnswer: -1558804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1430 and 2353.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2235, 4443, 6643, 8841, 11043, 13255, 15483, 17733?\n\"Answer: x**3 - 10*x**2 + 2231*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -3, -1 in ascending order.\nAnswer: -84, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37718 is divided by 5369.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16.9269 - -5\nAnswer: -11.9269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -28. Let o = 0.049 - -0.017. Let t = -0.334 - o. Which is the closest to j? (a) t (b) 1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5 = -k, -32*k = -2*f - 34*k - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + (726\/(-165) - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/2185 and 91\/100510.\nAnswer: 100510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.26 * 0.04.\nAnswer: -0.5704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -15. Let o(d) = -30*d + 1. Let h be o(n). Let p = -44 + h. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68*((-108)\/(-16))\/9 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.3, -5, -40, 2\/11?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403 divided by -1.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 5*d - 6 + 1\/3*d**3 + 3\/2*d**2. Determine l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1\/6)*j*j))\/(j\/(j*j*j*j**10*j)) assuming j is positive.\nAnswer: j**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 25*h. Let f(z) = -2175*z. Let s(t) = 2*f(t) + 175*j(t). Let x(r) = -4*r. What is x(s(u))?\nAnswer: -100*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 2*h**2 - 2*h**2)*(4*h**2 - 2*h**2 - 3*h**2) + 4*h - 3*h**4 - 4*h + (12*h - 12*h + 6*h**3)*(0*h - 3*h + h).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 14*s**2 - 23*s - 11. Is 12 a factor of l(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369353948 to the power of 1\/3, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 783676*c**3*m*s**3 - c**3*m*s + c**3*m + 2*c**2*m*s - 26*c**2*s**2 + 34*c*m*s**3 - 2*c*m*s - 4*c*s**3 wrt c.\nAnswer: 4702056*m*s**3 - 6*m*s + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16041 + 30241. Round d to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/462 and -59\/2279886.\nAnswer: 25078746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 3*a**2 + 0*a**2)*(2*a + 2 - 2)*(2 - 1 - 2)*(-26*a**2 + 3*a**2 + 3*a - 4*a).\nAnswer: 92*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 + n**2 - 8*n - 1. Let t(d) = 16*d**3 - 17*d**2 - 42*d - 27. Let j(o) = 5*f(o) - t(o). Calculate j(22).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089076 to 3 dps.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 5*u**3\/3 + 5*u**2 - 15. What is the second derivative of w(o) wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - -10. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/20 - o**4 - 101*o**2 - 152*o - 2. Find the first derivative of j(k) wrt k.\nAnswer: 3*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -63. Calculate the common denominator of 107\/14 and (1\/(-9))\/((-2)\/y).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-15)*27280\/10912.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 - (-70)\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*r**2 + 115*r.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/5))\/n)\/(n\/(n*n*n\/n**(-7))*n))**(-6\/29) assuming n is positive.\nAnswer: n**(-246\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, t: 1}. Give prob of picking 2 h and 1 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9259, 0, 5, -58 in ascending order.\nAnswer: -9259, -58, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 9:59 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 + 15 = -4*t, -22 = 5*t - 2*l. Let z = 19 - 13. Sort z, t, -2.\nAnswer: t, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**5\/20 + c**4\/12 + c**3\/6 - 23*c**2\/2 + 30*c - 9. Let o(w) be the first derivative of t(w). Determine o(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*c + 1090 = -100*c. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10)*5\/21. Let q = -5\/21 - l. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76))\/sqrt(4) - ((sqrt(19) - (1 + sqrt(304))) + sqrt(19)))**2.\nAnswer: 2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -0.263, 3 in increasing order.\nAnswer: -2, -0.263, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/852429 (b) -4 (c) -19\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*o = 176*o + 122*o + 6222 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 504.641 to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-30) - (-10)\/6. Let g(n) = -n**2 + 10*n - 5. Let v be (-4)\/(-3 - 1) + 7. Let r be g(v). Solve -3*x - d - 8 + m = 0, 2*x + 3*d = -r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14831631416 less than 4?\nAnswer: -14831631412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 22 - -12 - (5 + -6 + 28).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grk when three letters picked without replacement from khtktgbr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(9) - sqrt(9)*-3)*-4).\nAnswer: -sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + -12 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 0, -76, 979.\nAnswer: -76, -11, 0, 3, 979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.9654 + -60. What is q rounded to 3 decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1763435?\nAnswer: -1763435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 1 + 1\/1. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.128 - 0.086. Let j = -16.958 - d. What is the nearest to j in -0.4, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/81)\/((-2)\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287996015.\nAnswer: 5, 19, 3031537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 equal to -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007356 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1676\/11135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -258709.\nAnswer: -258708.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*j**3 + 210*j**3 - 441*j**3.\nAnswer: -655*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.3 + -15. Let j = 1.2 + x. Which is the second smallest value? (a) 3\/5 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13560 - -13562. Solve -2*a - 14 = -6*j + 2*j, -y*j = -5*a + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 690, 2187, 5068, 9795, 16830, 26635?\nAnswer: 39672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*r = 38, -26*l + 27*l - 2*r = 3 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 1 - 5. Let d be (21 - 1) + (0 - 4)\/a. Find the second derivative of 36*z**3 - d*z + 24*z - 40*z + 3*z**3 wrt z.\nAnswer: 234*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = -2, -3*z = -c - 7. Let x(q) = q**2 - 13*q + 42. Let j be x(8). Solve -3*k = 15, -j*m - z*m - k = 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10756*h**2 - 10*h - 15. Let w(p) = 5378*p**2 - 6*p - 9. What is -3*r(x) + 5*w(x)?\nAnswer: -5378*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63313672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*n**2 - 790*n + 127795 with respect to n.\nAnswer: 26*n - 790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m - 12. Let k be b(3). Suppose -2*h + 0 - 82 = k. Is h bigger than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-63))\/(91\/117)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11042455.\nAnswer: 5, 2208491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 6540.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -851, -3461, -7811, -13895, -21707, -31241, -42491?\nAnswer: -55451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28931.04l to millilitres.\nAnswer: 28931040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1883381 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let j = -2 + m. Solve -j*x - 2 = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696475 to the power of 1\/2, to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7786189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -707*s**2 - 17*s - 6 - 34 + 712*s**2 - 18*s = 0. What is s?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:48 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3)*6*2. Let u(n) = 2*n**2 - 5*n + 5. Let j be u(2). Let m(i) = 3*i + 2 + 4*i - 4*i - j - 2*i. Give m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28115 - 64161531.1.\nAnswer: -64189646.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14783 - 14782.2843. Let l = 0.0157 - i. What is the biggest value in 13, l, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/10 + (-5)\/(-25). Calculate the highest common factor of i and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuu. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 - 0) + (699 - 691).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*r - 3245 = -24277, 18*r - 8452 = -2*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4565*a**2 - 1365*a - 8. Let i(r) = 3044*r**2 - 904*r - 5. Let o(h) = -5*c(h) + 8*i(h). What is the second derivative of o(b) wrt b?\nAnswer: 3054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264321 (base 13) in base 9?\nAnswer: 1656440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -23 + 35 + -19.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33452549 and 2431?\nAnswer: 367978039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 847 and 154.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.2. Let d(q) = 4*q + 14. Let z be d(-4). Let j be 64\/110 + z\/5. Which is the nearest to -4? (a) 3 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328191 by -1.\nAnswer: 328191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0 + 1\/6*h**5 + 11\/3*h**4 + 0*h**2 + 7\/2*h**3 + 0*h = 0.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84035734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4105 - 627.64?\nAnswer: -4732.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -90. Calculate the remainder when 81 is divided by (2 - (-460)\/o) + 4\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfnikfkxxm. What is prob of sequence xi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 10130*i\/3.\nAnswer: -2*i*(i - 15195)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-63)\/(-90))\/((-6)\/(-244)). Let s = z + -973\/30. Find the common denominator of s and -28\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30\/41299769 - -707919452389\/154130737908. Let q = 3\/311 - n. What is the common denominator of 5\/28 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2. Let c(n) = n**3 - n**2 + n. Let y(z) = 4*z**3 + 6*z + 5. Let d(g) = 6*c(g) - y(g). What is -d(m) + 6*s(m)?\nAnswer: -2*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5893 (b) 2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + w + 24, -2*w + 7*w + 24 = -4*x. Let z be 8\/(-10)*15\/x. Let s(a) = -a + 9. Let j be s(6). Solve 2*o - 4 = 3*r - 13, 6 = z*r + j*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-15) + 15\/25. What is the nearest to -2 in h, 0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/24*0)\/2. Suppose u = 10*a - 192 - 1478. Calculate the remainder when a is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**4\/24 + 3*i**3\/2 + 2*i**2 + 6. Let q(o) be the second derivative of f(o). Let u be q(6). Which is greater: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 35) + (-6 - 0) + -4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 - d**2 + 5*d**2 + d**2 wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29570 - 64*i**2 + 64*i**2 - 185*i**3 - 29570.\nAnswer: -185*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r - 114. Suppose 4*s - 5*j - 19 = 0, -4*j + 9 = 2*s - 33. Let m be b(s). Let z(k) = k**2 + 3*k + 1. Determine z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-12) + 3289\/4 + -3.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -202*n**5\/9 - 440*n**4\/9 + 194*n**3 + 728*n**2\/9 - 1544*n\/9 - 32 = 0.\nAnswer: -4, -1, -18\/101, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 + 5*t. Let l(u) = 4*u - 4*u**2 + u - 2*u + 3*u. Give 4*l(p) - 5*o(p).\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z + 1 - 1 - 3*z + 2*z**2 + 4*z. Let h(m) = -m. Let t = -14 - -8. Let j(c) = t*h(c) - v(c). Factor j(b).\nAnswer: -2*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 227917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -17 + -4 + -23 - -9 - (3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38897301 at most 38897301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*j + 168 = 0, 3*t + 2*j = 88 + 37. Suppose 5*x - 130 = -45. Let k = x + t. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19466079.\nAnswer: 3, 6488693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*z - 216*z + 82*z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -712*u + 975 wrt u?\nAnswer: -712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - w - 254, -15*w + 11*w + 259 = 3*a. What is the greatest common divisor of a and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(40)\/sqrt(72)*-6.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 7.2 (b) -0.2 (c) 0.0859\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/210 - 6418\/14. Let r = 657 + s. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2174*j**3*n**3*u + 7*j**2*n + 17*j*n**3 + j*n**2*u wrt j.\nAnswer: 13044*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -105?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y - 10. Suppose -y*t + 105 - 9 = 0. Calculate the common denominator of -7\/4 and (-334)\/t - (-2)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-12)\/(-600)*-5)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(637)*6)**2 - (0 + sqrt(39)\/(sqrt(3) - (sqrt(3) + sqrt(3)*-1 - sqrt(3))) + -2)**2.\nAnswer: -418*sqrt(13) + 91799\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.162207 litres in millilitres?\nAnswer: 9162.207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5140812 and 8457.\nAnswer: 5149269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-2\/85)*r*r**12\/r*(r*r*r**8)**(-4\/21) assuming r is positive.\nAnswer: r**(19847\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -879 + 36*n**3 + 589*n**2 + 868 - 580*n**2. Let b(z) = 7*z**3 + 2*z**2 - 2. Give -11*b(l) + 2*s(l).\nAnswer: -5*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/60 and -91\/22760.\nAnswer: 68280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2891 in -0.06, 5, -10\/3, 3\/5?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97 + 99 + 2128*l - 198 to the form n*l + f and give n.\nAnswer: 2128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 41128\nAnswer: 123384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2 - -55) + -31 + 27. Suppose -12 - v = -z. What is the least common multiple of z and 32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 4. Let l(u) = u + 2. Let j(z) = -2*l(z) + r(z). Let p(i) be the third derivative of i**4\/12 + i**2. Determine p(j(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31258262 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/720 - h**5\/180 + h**4\/144 - 23*h**2. Determine z so that w(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (10\/(-6) - 51\/(-9)). Let c = -0.0907 - 0.0093. What is the closest to f in -0.2, c, 1\/10, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {p: 1, q: 5, t: 3}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p + 50*p + 5*y - 200 = 0, 3*p + y = 530. What is the greatest common divisor of p and 1820?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 2*b**3 - 5 + (-51533*b + 51533*b - 7411*b**2)*(-4 + 4 + 2*b).\nAnswer: -14820*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -1751.\nAnswer: 27\/1751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {i: 3, x: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 266, 238, 190, 116, 10, -134, -322?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 2796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*m + 333 = 312, 0*d - 14*m = 5*d - 44 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/(l\/(l**(-28)\/l))*(l**34)**(-49))**(1\/4) assuming l is positive.\nAnswer: l**(-849\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 4*y. Let n = y + -1. Solve -2*t + 3*t + n = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 116. Find j, given that 25*j**3 + 2*j**4 + y*j**2 - 25*j - 6 - 14 + 2*j**4 + j**4 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 - -888. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Let h = 8045 - 8039. What is the closest to b in h, 4, 1\/3, -3\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 942*z**2 + 76263*z - 739. Give u(-75).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 0 + 9 + 3 + 12 + -16.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(434\/310).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**3 + 55*q. Calculate j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39866058\/(-12292020) + 4\/1. Let r = -3\/8755 + c. Find the common denominator of r and -81\/20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from bdbpbbp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 103. Suppose 4*k = 4*v - 24, 0 = -k + 5*k - 5*v + g. Let t(d) = 2*d + 2*d + 4 - 2*d. Calculate t(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 4. Let t(h) = 4*h - 3. Let u(x) = 4*r(x) - 5*t(x). Let l(z) = 7*z. Determine -4*l(a) + 3*u(a).\nAnswer: -4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*f**3*t + 3*f**2*t + 4*f*t + 2975*t wrt f?\nAnswer: -165*f**2*t + 6*f*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let c = 6 - 6. Suppose -3*j + c*j = -9. What is the least common multiple of i and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82656746 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: Is 36340 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(-2\/7)\/t*t)*t)*t)**(-2\/61)*t**(3\/5)*t*t**(-3) assuming t is positive.\nAnswer: t**(-3039\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8215559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/7, 0.5.\nAnswer: -1\/7, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*w + 5401 + 9220, 0 = -w + 2*s + 2929. Let l = -251 + w. Suppose -5*r + l = j, 2*r - j - 1065 = -6*j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3) + 2)*((-665)\/76 - -11). Solve -19 = r*j + q - 5, -2*j + 4*q - 14 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 3569\nAnswer: 1427.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 10 = -m, -8*m + 3*k - 3 = -11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, d: 1, b: 3, r: 1, j: 2, i: 1}. Give prob of sequence bbjb.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5344896 or 5344907?\nAnswer: 5344907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-45)\/(-189))\/((-14)\/56)*57\/(-95).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 56*d**3 + 22*d**3 + 0*d**3 - 5*d**3 + 3*d**3 + (-2*d + 0 + 0)*(-2*d**2 + 0*d**2 + 3*d**2).\nAnswer: -41*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/21 + 28\/6. Let b(g) = -2 + 3 - v - 5*g + 4. Give b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**5 + 2*t**4 - 333*t**3 - 2*t**2 - 6*t + 15 wrt t.\nAnswer: -120*t**2 + 48*t - 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -3*m**5\/20 + m**4 - 3*m**3\/2 + 98*m. Factor i(z).\nAnswer: -3*z*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {k: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 220359 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 90 = -62. Let g be (32 - 10) + (-20)\/v. Calculate the highest common divisor of g and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 1, 9*i = 12*i - q - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087626 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22779 + 20442. Put -3, 4, -1, o in descending order.\nAnswer: 4, -1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 8300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6622\/(-4) + 6*4\/(-16). Let m = -929 - c. Is 5 a factor of m\/36 + (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -856 + 1487. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 208, -123.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.025? (a) -162 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 21, 24, 29, 36?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) -1 (c) -0.091 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:19 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 10. Let s be z(7). Is (1755\/(-30))\/((6\/4)\/s) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65604188 at least as big as -65604186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6112225 divided by -371.\nAnswer: -16475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -190, -231, -310, -439, -630?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 14, 1\/19, -11?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -7, 1, -20, 4 in increasing order.\nAnswer: -20, -8, -7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 23367056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 868 = -15*t. Suppose 0 = 5*b + 2*b - t. Calculate the remainder when b is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99849 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(250)\/sqrt(5)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 j when four letters picked without replacement from jrhvjjrrjrrhkjrjjj?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -733*c**4*q**2 - 66*c**4*q - 7*c**2*q**2 - c*q**2 + 12148*q**2 wrt c.\nAnswer: -17592*c*q**2 - 1584*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*2)\/(sqrt(20)*-3).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 139768405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.8074mm in meters?\nAnswer: 0.2108074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 - 5*z + 7. What is y(6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {q: 15, w: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f. Let r(a) = 5*a - 2. Let m(o) = -21*o + 9. Let j(n) = -4*m(n) - 18*r(n). Give j(z(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*a**2*b - 7*a**2*g**2 - a**2*g - 130*b*g**2 - 871*g**2 wrt b.\nAnswer: -49*a**2 - 130*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 0.342?\nAnswer: 3.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 8) to base 3.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 12*c - 8 - 14*c - 9*c**2 to the form j*c**2 + z*c + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, -3, 36 in decreasing order.\nAnswer: 36, 0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415057?\nAnswer: 7, 31, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250327716.\nAnswer: 2, 3, 20860643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8656 = 200*g + 1279*g - 2561*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (456\/96 - 8) + (-1385)\/(-500). Let s = -1 - -2. Is l at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 114948, 114945, 114942, 114939, 114936, 114933?\n\"Answer: -3*t + 114951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 78841 = 2*p, 2*p + 15867 + 15673 = 2*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.7438*-1.4.\nAnswer: -24.84132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16536 + 23796. Does 48 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 - 10308314921*x**2 - 7*x**3 + 10308314921*x**2 + 18*x**3 - 14*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Suppose 14*k + 0*k = -42. Let u(c) = c. What is k*v(g) + 3*u(g)?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.95. Let u = w + 0.65. Round u to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7987 and 7399.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h = -3579 - 6630. Calculate the common denominator of -7\/69 and ((-70)\/(-4))\/7*h\/15.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1750*h - 14026. Determine z(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24378*k + 170572. Determine u(7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85435648080 - -85435648755.99999709. Let k = -676 + i. What is k rounded to 7 dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + -1.44. Let i = -2.96108 - v. Round i to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -4. Let r(f) = f**2 - 4*f - 9. Let i be r(v). Let x be 3 + -1 + (-27)\/i. Put 0, x, -3 in increasing order.\nAnswer: -3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-12))\/((-6)\/(-12))*0. Solve u*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.98*0.003.\nAnswer: 0.00294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025953848 to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let d(v) = 0 + 0 - v. Suppose -2*j = -6*j + 4*a - 28, 5*j - 2*a + 26 = 0. Let t be ((-20)\/j)\/(1\/(-1)). What is t*d(h) - 4*o(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 513?\nAnswer: 1\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 7. Let w be u(-6). Suppose 3*t = 8 + 22. Let s = t - w. Calculate the highest common factor of 44 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 8:11 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 20*z**4 + z + 56*z**4 + 4*z**2 - 20*z**4 - 17*z**4 + 0*z**2 in the form q*z + r + c*z**4 + m*z**2 + s*z**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24287914?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = -3*o + 2*t, -5*o = t + 28. Is o bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1608109 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 7. Is 0 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -40*w**3 - 27*w**2 - 5. Let u(x) = -20*x**3 - 14*x**2 - 3. Let c(h) = -3*d(h) + 5*u(h). What is the third derivative of c(g) wrt g?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(153) + sqrt(153) + -1 + sqrt(153) + sqrt(153)*3 + 0)*-3.\nAnswer: -54*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**4 + 0*i**2)*((1 + 2 - 2)*(-2 - 1 + 1) - 2 + 0 + 0) + (2 + 0 - 3)*(2*i**3 - 2*i**3 - 3*i**4) - 2*i**4 - 6*i**4 - 3*i**4.\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 4*z - 3. Let q be y(-5). Suppose -q = -3*x + 1. Solve -m + 4 = -x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 - p**2 - p - 1. Suppose -3*t = 3*s, 0*s - s + 5*t = 18. Let v(j) = -5*j**3 + j**2 + j + 2. Let g(d) = s*v(d) - 4*k(d). Determine g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10977458 or -0.1?\nAnswer: -10977458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -350*h - 790. Give c(-2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5461 + 5609. What is the remainder when 11542 is divided by c?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4530 by 65.\nAnswer: -906\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 28. Let w be x(6). Suppose 80 = 4*c + w. What is the lowest common multiple of c and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -977*c + 978*c - 15. Suppose t - 6887 = -19*h + c*h, 3*t = -3*h + 5172. 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 hundreds digit of 452374264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 0.5, 0.04, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 167163873 and 12648?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 - 13*f + 61. Let u be 6\/(-15) - (-32)\/(-15)*-3. What is the tens digit of p(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z + 78 = 0. Let g be 2\/(-4) - 17\/z. Let v = 7 + -9. What is the nearest to 2\/7 in v, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102200037 a multiple of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 l when four letters picked without replacement from {c: 6, z: 3, l: 3, m: 4, d: 3}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.4, -2, 0.2374, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o + 4. Suppose 0 = 10*n - 15*n. List the prime factors of b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-10))\/(((-13536)\/3696)\/(-47))\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802 + 4864 = 6*i. List the prime factors of i.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = x + 4*x. Suppose -2*j + d + 2*d = 7, x*j - 40 = -4*d. Let a be (-10)\/(-8) - (-3)\/j. Is 2 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -31, -60, -91, -118, -135, -136, -115?\n\"Answer: v**3 - 10*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2901 - 2900.94. Let g = -19 + 20. Let d = g + -0.9. What is the closest to d in p, 0, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16269 (base 12) to base 15\nAnswer: -94d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 2*r + 1. Let z be p(-2). Let v(c) = z*c + 0*c**2 + 5*c**2 - 11 + 4*c**2 + 0*c. Is v(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15 = -q, -2*q + 4 = 3*h. Let x be -2 - (h - (-1 + 5\/4)). Find i such that -x*i - 1\/4*i**2 + 1\/2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-130)\/(-135) + 7\/189)*-4. Let f(l) = -l**3 + 3*l**2 - 3*l + 4. Let s be f(3). Put s, d, 5, 2 in ascending order.\nAnswer: s, d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 0. Suppose -q = -4*h - 0. Suppose -h*n - 5 = -3*n. What is the lowest common multiple of 9 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -302 - -505. Calculate the highest common divisor of t and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let i = -24 + 27. Let w = 355 + -4613\/13. What is the second smallest value in o, i, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 5*v = 38, -33 = -5*a - 3*v. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 4 (c) 25 (d) -0.1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, x: 9}. Give prob of sequence xmmx.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-13))\/v)**(1\/35)\/(v\/v**(-2\/27))**(-9\/5) assuming v is positive.\nAnswer: v**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/2 + 6*w - 10 = 0. Calculate w.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 9537403.2 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 2630004*h\/5 + 210400 = 0. Calculate h.\nAnswer: -263000, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v + 13. Let z(r) = 23*r + 53. Calculate -9*l(m) + 2*z(m).\nAnswer: -8*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 350 or 370?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/483 - -1522\/67137. Let j = l + -167\/1946. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/14, 1, -0.26.\nAnswer: -0.26, -3\/14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -14\/3?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 2224268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.431 and -0.01.\nAnswer: 10.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1523 + 2874. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30156.\nAnswer: 2, 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -23\/1014 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -590\/3 > -196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419 + -423. Let b(d) = 20*d. Let v(k) = -7*k - 5*k + 7*k. What is z*b(s) - 15*v(s)?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363438*g**2 + 362554*g**2 - 723733*g**2.\nAnswer: 2259*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 0*m**2 + 0*m**2 - 6*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 715 - 145. Let k be (1*-2)\/((-649)\/93 - -7). Let s = k + y. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2345284 divided by 4\nAnswer: -586321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 14) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8521 divided by 4\nAnswer: -8521\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 612 + 66 = 0. Solve m*h = 25*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 - 16 - 4 - 12 + 4*h**2.\nAnswer: 4*h**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z - 5*k = 33*z + 30, 36 = 3*z - 6*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -3*l - 4*c, 140*l + 133*l - 2*c = 271*l + 46 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l**2 - 3*l - 14. Let n(a) = 2 + 2 - 3*a + 0*a + 3*a**2 + 4*a. Let x(y) = -2*c(y) - 7*n(y). Let s(f) = -2*f**2 - 2*f. What is -s(k) + 3*x(k)?\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 + 2)) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 295 + 0 + -1*(-4 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004664?\nAnswer: 2, 250583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005754749 to six dps.\nAnswer: 0.005755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 7. Let y be d(2). Let p(o) = -40*o - 16. Let k be p(y). Find the second derivative of k + 102 + 6*h - 206 - 2*h**5 wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154228135?\nAnswer: 5, 30845627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -858?\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.79418 grams in micrograms?\nAnswer: 59794180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.073 and -583952894?\nAnswer: 583952893.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 29. Let t = -131\/3 - -44. Are g and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -956759.3 to the nearest one thousand.\nAnswer: -957000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 - 1)*(0 - 2 - 6) + 1 + 2 + 0)*(-3*z - 4*z + 2*z) in the form f*z + o and give f.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 29) + 16 + 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = 24. Let z be (-6)\/(0 - (-6)\/c). Suppose -5*q + 650 = -2*i - 23, 0 = -z*q - 4*i + 516. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14a + -240?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.6593594 rounded to 1 dp?\nAnswer: 135.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -427*z**2 + 3391*z - 3. Determine p(8).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 3*z - 2. Let w(n) be the third derivative of n**5\/10 - n**4\/4 + 5*n**3\/6 + 7*n**2 + 7*n. Calculate 5*p(h) + 2*w(h).\nAnswer: -3*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + 4*sqrt(72))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2200*t - 2198*t - 10*t**2 - 164 + 7*t**2 + 4365*t)*(2*t - 3*t + 0*t) as r*t**3 + l + w*t**2 + m*t and give m.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 + 4*x**3 - x**3 + (8*x - 8*x - 8*x**2)*(2*x - 6*x + 2*x) - 4 - 4*x**3 + 4 to the form f*x**2 + j + a*x**3 + u*x and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t + 75 = 0. Suppose -4*q - q + t = 0. Is ((-155)\/q)\/(1\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 - (-1377)\/85)*(-5)\/2. Let z(h) = -h**3 + 3*h + 2. Let d be z(-2). Find the second derivative of -d*m**3 + 57*m**f - 6*m - 57*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 6031.26.\nAnswer: 12062.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - 24?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a hour in seconds?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13611 - -2530?\nAnswer: 16441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igdj when four letters picked without replacement from {g: 1, d: 2, i: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.6 + 1.4. Let t = -9 + z. Let w be 20*(-6)\/(-24) - 7. What is the biggest value in w, 4\/7, -2\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134190 and 300?\nAnswer: 1341900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20111220 (base 3) to base 7.\nAnswer: 16563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -113503 (b) 9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from gagxbggunbnxgnb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 872 + -876. What is the units digit of 9912\/(-63)*42\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 12*y**2 - 9*y + 7. Is t(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 5, -3, -1, 1380, -6 in ascending order.\nAnswer: -6, -3, -1, 5, 87, 1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 2. Suppose 3*k + 3*y - 6 = 0, -4*k + y - 4 = 3. Let x be a(k). Let p = x + 2. Solve -p*t + 12 = -7*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -734 - -1753. What are the prime factors of j?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 18*r**2 + 13*r**2 + 13*r**2 - 18*r**2 - 50*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43063 is divided by 10569?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:00 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 29 + 29)*(-w + w - w**2 + (3*w - 5*w + 4*w)*(-w + w + w) - 2*w**2 + 2*w**2 + w**2).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 5*j - 2. Let k(z) = z. Let r(l) = k(l) - x(l). Calculate the remainder when 26 is divided by r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 4)\/(3\/4). Suppose n*l - 3 = 9. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 4*r**2)*(1 - 1 - 3)*(-2 - 2 + 2).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.237959 months to decades.\nAnswer: 0.085316325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -676900 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 1711 - 533 = 0. Does 68 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030 (base 4) in base 5?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.88 + 0.12. Put i, -19, 0 in descending order.\nAnswer: i, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-276)\/(-40250)*25)\/((-4)\/270)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49867?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t. Sort t, -4, 5 in descending order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**3 + 52 + 2*p**2 - 52 to the form m*p**3 + y*p**2 + q + b*p and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9*u)**22*(u\/(u*(u*u**6)\/u*u*u))**(5\/11) assuming u is positive.\nAnswer: u**(2380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:53 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 127449*j**3 - 112540.\nAnswer: 382347*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 + (-51125)\/19660. Let w = 15977342\/8847 + b. Let i = 1799 - w. Calculate the common denominator of -79\/6 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159456 (base 11) in base 4?\nAnswer: -330033330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 33 (c) -0.0413 (d) -2 (e) 3 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 4. Let g be z(-1). Suppose 0*x - 5*x = -5*t + g, -t + 3*x - 1 = 0. Calculate the highest common factor of 8 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274360 is divided by 22856?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159.13 - 163. Let c = 28.73 - w. Round c to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138453 and 5030459?\nAnswer: 15091377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1462 - 718. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 72384?\nAnswer: 72384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:06 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134 or 122?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f - 12 = 0. Let j be (2\/(-8)*2)\/f. Let v = 15.1 + -15.3. Sort -4, j, v in descending order.\nAnswer: j, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -932, -1870, -2812, -3758?\n\"Answer: -2*r**2 - 932*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135518 is divided by 1015?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 30, -5, -22 in ascending order.\nAnswer: -22, -5, 30, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 189\/2*r**3 + 0 - 1\/2*r**4 + 0*r - 187*r**2 = 0.\nAnswer: 0, 2, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1849*j**3\/2 + 19350*j**2 + 17400*j + 4000.\nAnswer: (j + 20)*(43*j + 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 87. Suppose 0 = -4*i + 109 + z. Let l = i - 43. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 3*m - 4*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3445\/(-130) - 7\/(-2) - 6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npip when four letters picked without replacement from {n: 3, p: 1, i: 13}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 14*n + 21. Let c(v) = -v - 1. Let x(k) = -21*c(k) - i(k). Let z(r) = -1. Let f(p) = 2*p - 5. Let q(g) = f(g) - 5*z(g). What is q(x(o))?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(t - t + 2*t**2) + (t + 8*t - 7*t)*(2*t - 6*t + 2*t) to the form g + d*t**2 + f*t and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 175533, -3, -1, 1 in decreasing order.\nAnswer: 175533, 7, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/(-10) - (197 + -199)) + (-10)\/(-100)*4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40025725 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1622541344 - 3?\nAnswer: 1622541341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 27 - (2 + 22).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 1. Let j(d) = 3*d - 4. Let y(i) = -j(i) - 4*z(i). Suppose 49 = 3*c - 26. Suppose 2*x - 4*a = 20, x - 5*a - c = 3*x. Calculate y(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 1, s: 2, e: 1, q: 1}. What is prob of sequence lr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 72, 108?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from gccgghgcggcgc.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 4. Suppose -n*i + 6*i = -28. Let a be (-4)\/(-14) - (-18)\/i. Is a less than or equal to 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/a)\/a**(-3\/7)*a**(3\/4)\/a**(-7) assuming a is positive.\nAnswer: a**(257\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -110752 (b) -1\/4 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (84\/5)\/(30\/100). Suppose 40 = 4*l + l. Calculate the greatest common divisor of v and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*z**2 - 16*z**2 - 9*z**2 + (-4*z**2 - z**2 - 19*z**2)*(4 - 3 + 0).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 166*p - 2. Let f(m) = m**2 - 83*m - 1. Determine 7*f(o) - 3*i(o).\nAnswer: -2*o**2 - 83*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)*c\/((c**(2\/3)\/c)\/c))**(-39)*((c**(1\/2)\/c)\/c)**(-20\/11)\/((c\/c**(-8)*c*c)\/c**(-2\/11)) assuming c is positive.\nAnswer: c**(-6757\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*m + 23023 - 15611 = 0 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**3 + 5*v**2 - 4. Let p(f) = 4*f**3 - 3*f**2 + 2. Let u(r) = -5*p(r) - 3*w(r). Let y be u(2). Suppose -48 = -g - y. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131213033 (base 4) in base 11?\nAnswer: -2420a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2921*g**3 + 4*g - 20. Let p(v) = -3560700*v**3 + 4875*v - 24375. Determine -4*p(o) + 4875*q(o).\nAnswer: 2925*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*q**3*x - 355334*j*q**2*x + 116*j - q**3*x - 418*q*x - 5*q wrt q?\nAnswer: -12*j*q*x - 710668*j*x - 6*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1436*d - 107735. Give t(76).\nAnswer: 1401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -50*n. Let b(z) = -25*z - 102. Let p(j) = 45*j + 187. Let s(x) = 11*b(x) + 6*p(x). Calculate s(y(i)).\nAnswer: 250*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -48. Suppose -29 = 3*d + x. Calculate the remainder when d\/(-5)*(-15)\/(-6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3639 + 24?\nAnswer: 3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -2*m + 19, 2*a - m = 32140 - 32148 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/15*150\/200*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*b**3*p - 2195*b**3 - 11*p + 155 wrt b.\nAnswer: -57*b**2*p - 6585*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Suppose -2*c + 2*r + 10 = 0, -5*r = -4*c - 8 + 29. Let y(a) = -a**2 + 6*a - 5. Let z be y(c). Solve -q - 7 + z = o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iofbvimimmmfooiif. What is prob of sequence mfv?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-14) - 8\/28. Let b(m) = 3*m - o*m + m. Let j(p) = -13*p**2. Give b(j(w)).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25822423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 - 12 = 0. Let k = 17 - 8. Let v be (2 + (-51)\/6)\/((-1)\/2). Solve -5*j = -2*z + k, -m*j - 2*z = 5 + v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o - 8. Let u be r(-1). Solve -15*s = -13*s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-35) + (-680)\/56?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -776594 + 1739570631\/2240. What is the common denominator of u and 39\/1792?\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 289660?\nAnswer: 289658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/15)\/m*m**(5\/3))**(-48))**(-2\/123) assuming m is positive.\nAnswer: m**(352\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b = -32*b + 15. Let c(u) = 2 - 1 - 2 + 24*u - b. What are the prime factors of c(5)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14853696 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10050*d**3*n**2 - 2*d**2*n**3 - 6182*n**3 - 3*n + 2 wrt d?\nAnswer: -30150*d**2*n**2 - 4*d*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 8) to base 16.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -1. Suppose 7*q = 2*q + 70. What is the units digit of c\/7 - (-18)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -121, -125, -151, -211, -317?\n\"Answer: -2*z**3 + z**2 + 7*z - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - ((-3 - -38 - 16) + -21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -61110144 minus -0.2?\nAnswer: -61110143.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (226800\/4326)\/12*(-2)\/6. Does i = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13812679 or 262440904\/19?\nAnswer: 262440904\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4559506 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.1 + 41. Let f = -0.4 + y. Let m = -3 - f. What is the third biggest value in 0.2, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*5\/25*5. Suppose 4*g = -y + 13. Suppose -3*k - 4 = g*b, k - b + 1 - 8 = 0. Solve -k*f + u - 13 = -5*f, 0 = -f - 2*u + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44 - -48)*-1*((-24)\/(-28))\/((-10)\/14). Determine u so that 99\/5*u - 12\/5*u**4 - 99\/5*u**3 - 12\/5*u**2 + v = 0.\nAnswer: -8, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*m. Factor -4*u**2 + 3*u + 0*u**2 - 3*u - m*u**3.\nAnswer: -2*u**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b**3*k**2 - b**3 - 176*b**2*k*t**3 + 1865*b*k**2*t**3 - 259*k*t wrt k.\nAnswer: -12*b**3 + 3730*b*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4*(-2 + -1). Let j(y) = -y**2 + 5. Let z be j(0). Suppose z*k + 5*r = 10, 5*k + 1 + 5 = 3*r. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let a(w) = 7954198*w. Calculate s(a(g)).\nAnswer: -7954198*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116157, 116156, 116155, 116154, 116153?\nAnswer: 116152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18615 and 11169?\nAnswer: 55845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13\/2)*r**(7\/3)\/r*r)\/(r**26\/(r\/(r*r\/r**(4\/7)))) assuming r is positive.\nAnswer: r**(-1285\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6435 and 1089.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + k**2 - 33*k + 13. Let u be b(5). Let r = 3 + 0. What is the smallest value in r, u, -0.04?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -445, -671, -901, -1135, -1373, -1615?\nAnswer: -1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -70 - (-3 + 1 + 14) - (34 + -115)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 1505\/9. What is the closest to -46 in u, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose t*s + s = 27. Suppose 4*k - s = k. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -143*h + 14 + 55*h + 13. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -218, 4, 5, -5, 3 in descending order.\nAnswer: 5, 4, 3, 1, -5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 8*v - 3*v + 154, -2*q - 109 = -3*v. Let y = q + 55. Suppose 3*f = -5*m - 3, y*f + f + 3 = -4*m. Solve -2*x + x = m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6)*1 - (-1*sqrt(96) - sqrt(6)))*1)\/(2*-2*sqrt(3) - sqrt(18)\/sqrt(6)*-3).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 575356?\nAnswer: 6328916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2886 + -0.5241. Round o to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-3\/2)\/i)*i**(14\/3) assuming i is positive.\nAnswer: i**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x - 1. Let m(y) = -y**2 + 4*y + 8. Let q be m(6). What is the tens digit of v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13. Suppose b = i - 3*i + 98. Suppose 4*g + 2*z - 211 + i = 0, z - 39 = -g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5 - v**3 - 10*v**2 + 12*v**2 to j + z*v**2 + s*v + k*v**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 6, -4.\nAnswer: -4, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 5618.\nAnswer: 3\/5618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 - -226. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7540 and -11\/30656.\nAnswer: 57786560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 + m + 1. Let i be v(-1). Suppose 4*h - i*g = -2*g + 236, 0 = 4*h + g - 220. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193 - -206. Solve k*l - 4 = 14*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9 - 8 + 1 + 4*y + 2. Let k be b(4). What are the prime factors of 4 - -64 - (4 - k)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-14) + -1 - (-258)\/86. Let i = 1 + -1. Let a = -1 + i. Put a, k, 5 in descending order.\nAnswer: 5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*u. Let o be u\/(-3*7\/(-3)). Let v = 17.9 + -18. Which is the closest to v? (a) 4 (b) 1\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317183851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-6 + -1 + 5). Suppose m = -2*j + 3*g, 0 = -4*g + 13 + 3. Is 117 + 0 - j*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067*23.5\nAnswer: 1.5745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d - 5*s = 72, -s = d - 18. What is the greatest common factor of 45 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + f**2 + 6*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(1764))\/(sqrt(175) + (sqrt(175) - (sqrt(175) + 2*sqrt(175) + sqrt(175))*-6)).\nAnswer: -6*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 - 269*s**2 - 17*s**2.\nAnswer: -269*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/34 and 103\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55322 - -275501\/5. Let v = z - -217. What is the common denominator of v and -50\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 m when three letters picked without replacement from mmmmmmmvmmmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {h: 1, m: 1, l: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by -415?\nAnswer: -212\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*r + 117, 4*t - 51 = 5*r + 109. What is the remainder when 69 is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 7. Factor u*l**2 - 3*l**4 + l**3 + l**3 - 4*l**4 + 0*l**3 - 2*l.\nAnswer: -l*(l - 1)*(l + 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 + 2 - 1 + 2*t**3 - 9 - 15*t as l*t**2 + c*t + h + b*t**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.28789 rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123467230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**39\/o*o)*o**(-34)*o*o*((o\/o**(9\/10))\/o)**(-44))**(-26) assuming o is positive.\nAnswer: o**(3952\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 103\/3. Is z at least as big as 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-1))**(1\/18)*f**(1\/2)*f**3*((f\/(f*f**2*f))\/f)**(34\/7)*((f*f\/f**1)\/f)**(3\/10) assuming f is positive.\nAnswer: f**(-331\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 507*u - 128642. What is o(255)?\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 2:28 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 238 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**4)**(-2\/37) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -18 + (0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4*-1*sqrt(133))\/(2*2*sqrt(7)))**2 + -1 + sqrt(19)*-1 + -1 + ((6*sqrt(228)*-1 + sqrt(228))\/sqrt(12))**2.\nAnswer: -sqrt(19) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35843 divided by 134.\nAnswer: -35843\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6973*t + 139466. Calculate g(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -377 divided by 1\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1101000010?\nAnswer: -1100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*a + 367*a = 14010140. What is the ten thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 19. Let m(q) = -8*q + 1. What are the prime factors of m(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:29 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 5:46 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/70782 and -15\/326509.\nAnswer: 491722554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (-2*sqrt(60) - sqrt(60))\/sqrt(3)*2 + 3 + 5.\nAnswer: -12*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 181, -2 in increasing order.\nAnswer: -10, -2, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2*g\/g**(-3\/8))\/((g*(g*g*g**(-1\/3)*g)\/g)\/(g*g\/g**(-1\/6))))\/((g\/(g\/(g*g*g**(-1\/4)*g*g*g)))**(-13))**(-40) assuming g is positive.\nAnswer: g**(-19737\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(12)\/(sqrt(16) - sqrt(4)) + sqrt(3)))*-3 + (sqrt(3) + 0 + sqrt(363) - (sqrt(3) - (sqrt(12) + 0)**2)).\nAnswer: 12 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -79*g. Let a(s) = -2*s + 16. Let v(n) = 5*n - 44. Let w(l) = 11*a(l) + 4*v(l). Give w(m(u)).\nAnswer: 158*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (93 - 20\/(-5)). Let d = -40 - j. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 307*k**2\/3 - 13534*k\/3 - 13840\/3.\nAnswer: (k - 40)*(k + 1)*(k + 346)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(429)\/sqrt(11) - sqrt(39))*-4)\/(sqrt(3) - (sqrt(48)*3 + sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 0*g + 10*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -12. Let y be 2 + s*(-4)\/16. Let u(w) = y + 4 - 3 + w. What is u(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i**3*o**3*z**2 + 2*i**3*o**2 + 98*i**3*o*z - i**3*z**2 + 18*o**6*z wrt o.\nAnswer: -36*i**3*z**2 + 2160*o**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -12, 49 in descending order.\nAnswer: 49, 4, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3176*k + 15908. Calculate g(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3024 is divided by 275?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 9*h + 15*h - 2 - 14*h in the form b + x*h and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 - 242. Let y = g + -51. Let x be -1 + (-302)\/(-14) - (-39)\/91. What is the greatest common divisor of y and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 1. Let v(t) = 23*t**2 - 69*t + 69. What is -v(y) + 69*w(y)?\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 236362301167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 1. Let s be h(4). Let n = -763 + 758. Which is the closest to s? (a) n (b) 5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 284331754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -47. Let h = -11 + 7. Sort l, h, -3.\nAnswer: h, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 51887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1360 - -16515079.\nAnswer: 16516439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (64 - 9) + (-5 - -21).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*x = 26 + 496 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by 1349398.\nAnswer: -67\/1349398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 16 - 12)*(-2 - 3 + 3)*(-2*c + 3*c - 2*c) as l + m*c and give m.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47865501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652395134?\nAnswer: 2, 19, 17168293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.1 + -13.1. Sort -3.5, -1\/6, d in decreasing order.\nAnswer: d, -1\/6, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let u(d) be the third derivative of -d**7\/420 + 5*d**4\/12 + 3*d**2. Let t(s) be the second derivative of u(s). Calculate t(x(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*r**2 - 12*r**5 - 12*r**4 - 102*r**3 - 75*r**3 + 177*r**3 wrt r.\nAnswer: -720*r**2 - 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-235)\/((-2112885)\/1332))\/(0 - (-8)\/45)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 62, 160, 298, 476, 694, 952?\n\"Answer: 20*t**2 - 2*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -862 - -862. Let v(l) be the third derivative of 0*l + 0*l**3 - 1\/5*l**5 - 8*l**2 + p - 1\/3*l**4 + 1\/6*l**6. Solve v(x) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.32 + 34. Let p = -1.68 + a. Sort 1\/3, 4, p in descending order.\nAnswer: 4, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 937, 3536, 7865, 13924, 21713?\nAnswer: 31232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.873 + 45466806911.\nAnswer: 45466806912.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21916, -87680, -197286, -350734, -548024, -789156?\nAnswer: -1074130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 54*a**3 - 829*a**2 + 2700*a - 2500.\nAnswer: -(a - 25)**2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463\/6 - -19901\/258. Let c = w - 3395\/2838. Calculate the common denominator of (181 + -182)*(-122)\/44 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 3, w: 12, m: 1, s: 2}. Give prob of sequence ss.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 524 and 6640?\nAnswer: 3479360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 96\/8 - 16 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*j + 25, j - 2*k + 16 = 1. Put -3, j, 0, 3 in increasing order.\nAnswer: j, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 less than 61?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -81. Solve 5*u = 3*n + 4*u - d, -3*n - 1 = -2*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 9*o - 39*o + (3 + 2 + 0)*(-o + 2*o - 2*o) + 3*o - 3 + 3.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99982*b**2*w + b**2 - 2694*b + 2 with respect to w.\nAnswer: -99982*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317371 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12294990 divided by -6354\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 2)\/(-5)*-8. Let s(r) = r**2 + 3*r - 6. Is 5 a factor of s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqsitqsw. Give prob of picking 1 s and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 180*k - 178*k + 5*g, -k = -g - 5. What is the remainder when 0 - (-1 + 1 - 37) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 580 = 524 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-12))\/((-1)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/((sqrt(5) - sqrt(180))*1))**2 - sqrt(325)*2*-1.\nAnswer: 13\/25 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (297\/4)\/(2*54\/4032)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 366*r**2 + 1432*r.\nAnswer: 2*r*(r + 4)*(r + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00337 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjjjrrrrrrrrrrrjr. What is prob of sequence rjj?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 30. Let q = -16.86 + y. Let j = q + 0.1. What is j rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -2*n**6\/15 - 3*n**5\/5 - n**4 - 2*n**3\/3 + n. What is h in z(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-21)*(-4)\/10 + 58\/42\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -1002?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (19 - (-18 - 0)) + (-1 - -38)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 110. Which is the nearest to s? (a) 4 (b) 3\/7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4482 is divided by 647?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (4 - 24\/(-5 + 8)). Let j = -5 - -10. What is the second smallest value in j, l, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2))\/sqrt(6) + (sqrt(3)*2)**2*-3.\nAnswer: -36 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16 + -8 - 8) + (1 - 0). Solve -2*r + 1 = x - 5*r, 0 = 3*x - 7*r - j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-39)\/(-130)*20\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 13*p + 2*p + 12*p + 111)*(-2*p**2 - p**2 - 2*p**2) to the form t*p**2 + i*p**3 + k + u*p and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.3582186104.\nAnswer: -0.2582186104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -5 - (-796 + 3). Suppose 0*d - 2*d + k = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 14}. What is prob of sequence mm?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - 2 - (88 - 112 - 5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2552 - 1.2552. Let w be (4\/70)\/(1\/5). Which is the second smallest value? (a) w (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxsxsxhqhxxxexxxxeh. What is prob of sequence esq?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -51 - 132. Let w(n) = 114*n - 743. Let z be w(6). Let b = z + u. Solve 0 = -3*m - b*k + 18, 5*k = 4*m + 1 - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q - 143*q + 53*q + 26*q + 28*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13694 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/74613*-154)\/(((-3)\/15)\/((-2)\/(-5))).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3815, 22967, 42119, 61271, 80423, 99575?\nAnswer: 118727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.41 and 51368027909?\nAnswer: 51368027909.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6706 and 21\/5269?\nAnswer: 73766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 803 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Let o = 2 + -2. Let d be (-84)\/(-22) + (-7)\/((-231)\/6). Solve o = 5*y + 2*t - 1 - 8, -d*t - 18 = -x*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/10 - 3*o**3\/5 + 7*o**2\/10.\nAnswer: -o**2*(o - 1)*(o + 7)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 0*n. Let x = -7\/2 + n. Which is the closest to 0? (a) x (b) 3\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:38 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 348\/3781?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*0.387.\nAnswer: 0.13932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 582828 + 0.0415508317?\nAnswer: 582828.0415508317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1175 or 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*20\/(-187)*(-4)\/20.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2891922 and 3784?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 + -547\/4. Let h = -129 + 642\/5. Let m = -15 - -15. What is the biggest value in b, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101010 + 100?\nAnswer: 10010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 236 and -87.\nAnswer: -20532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g - 12. Let b be k(6). Calculate the highest common divisor of 32 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + g = 60, x + g - 46 = -2*x. Let y be -2 - ((-36)\/8 + 5)*8. What are the prime factors of 1113\/x - 3\/y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 5 + 5 - 22*a**2 + 12*a**2 - 2 in the form s + d*a**2 + g*a and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6858.95mg?\nAnswer: 0.00685895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-7 + 1 + 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2*q + 2. Let l be t(3). Suppose 0 = l*c - 31 + 1. Calculate the lowest common multiple of 8 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5 and (4\/21810)\/((-4)\/26 - 19075\/(-114777)).\nAnswer: 3635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 2*k - 4, -17*k = -r - 19*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115.559 + 0.559. Let b = 78 + f. Is 3 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szffzznaznszazzszsf. What is prob of sequence fas?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d. Let r be q(3). Solve -r = -4*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 381 - 381. Let s = 5 - 3. Suppose w = s*v - 29 - 63. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let k be w(-1). Let s(x) = -2*x**2 + 16. Let f be s(-4). Let n be f\/(-8) + 38\/(-18). Which is the nearest to -1? (a) k (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 9*t + 3*t)*(-3*t**2 + 2*t**3 + 3*t**2).\nAnswer: -22*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28945 - 28737. What is the smallest common multiple of u and 3588?\nAnswer: 14352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*l - 208*l = -1732317. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:15 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**15))\/h*((h*h*h**(-1\/9)*h)\/h*h)\/h assuming h is positive.\nAnswer: h**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a - 359601 = -2*a. Is 7051 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - j - 4*j)*(56*j - 14*j + 13*j)*(6*j + j - 3*j)*(-2*j - 3*j + 0*j) as t*j**3 + v*j + g*j**4 + m*j**2 + q and give g.\nAnswer: 2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13566 - 6781 - 6781 + 727*c)*(2 - 2 - 1).\nAnswer: -727*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 39*r = -30. Solve 2*x = -g - r*x + 14, -4 = g - 4*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 + 49292*w**3 + 151930249*w**2 + 455458080*w + 341510400 = 0. What is w?\nAnswer: -6160, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841.2986 years to centuries.\nAnswer: 8.412986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117248458.\nAnswer: 2, 59, 229, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 2827*p - 111746. Give a(-39).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 76. Solve -o - 3 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6270 divided by 5.\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 10195*x**2.\nAnswer: -10195*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34838529 is divided by 11612843.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-14*l - 10*l + 37*l).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -7*l**5\/20 - 7*l**3\/2 + 8*l**2 + 1. Differentiate a(i) with respect to i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3042971454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*g = -3*g, 0 = 5*f - 4*g. Suppose 2*t = 2*m + 4, -m = t - f*m. Let c = 1 + t. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2350*o**2 + 16*o - 1. Let r(c) = -2*c. Give r(q(b)).\nAnswer: -4700*b**2 - 32*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.684 to 1 dp.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333181.3 rounded to the nearest one thousand?\nAnswer: -2333000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4864.1 * 0.3\nAnswer: -1459.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 2 (b) 5 (c) 17\/4 (d) 676\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -123\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.44. Let a = v + -0.1226. Round a to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 445\/24 - 37\/2. Let t(f) be the third derivative of -1\/6*f**3 + 0*f - 1\/240*f**5 - s*f**4 - f**2 + 0. Factor t(u).\nAnswer: -(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220211210 - 212?\nAnswer: -220212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 36833199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 5, c: 2, s: 1}. Give prob of sequence cgn.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4\/4 + 144*z**3 - 81277*z**2\/4 - 82143*z\/2 - 20608 = 0.\nAnswer: -1, 256, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 4. Let w(d) = d**2 - 2*d + 1. Let v be w(3). Let u = -41 + 38. Let r be (1 - (u - -2)) + -5. Let z(o) = 3*o - 3. Give r*j(f) + v*z(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-four thirds of a decade?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1995958 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2637 - -2637. Sort 5\/2, l, 0.4 in descending order.\nAnswer: 5\/2, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b. Suppose -g + b*g = 0. Suppose g = 4*r + u - 60, 0 = -4*r + u + 4*u + 84. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146000 divided by 2000\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2030 + 1?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 13*m - 16 = 19 - 123, -3*m = -4*k - 36 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-20)\/(-50)*5\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5706 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.078 and -0.2.\nAnswer: -0.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -18*v**2 + 2*v + 1. Let r(t) = 92*t**2 - 11*t - 4. What is 11*j(h) + 2*r(h)?\nAnswer: -14*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 - 7*k - 4. Let r(u) = 2*u**3 + 3*u + 2. Let d = -9 - -2. Let m(z) = d*r(z) - 3*x(z). Differentiate m(b) with respect to b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*u + 1057 = 2*u, 3*u = 4*p - 4159. Let n = 1510 - p. Does 52 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0*a**3 + 0 + 56*a - 1\/6*a**4 + 0*a**2. Let s(p) be the first derivative of -3*p**2 + 1. What is s(x(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, y: 1}. Give prob of picking 3 m.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1436*y = -577*y + 21367 - 3250 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -141, 65, -0.3, 0?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -2928?\nAnswer: -2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.8 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*j = 54, -3*j + 15 = 4*v - 93. Calculate the remainder when 107 is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -400*v + 6796. What is p(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3128.7 - -3129. Sort b, 0.2, 371, 3 in increasing order.\nAnswer: 0.2, b, 3, 371","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.243 - -0.767. Let d = z - -0.09. Round d to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 7) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -165*g**4*t - 120*g**2*t - 217*t - 157 wrt g.\nAnswer: -660*g**3*t - 240*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q - 23022 = 154798. What are the prime factors of q?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1092 and 364?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 + -0.64. What is r rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**5 + 3*w**5 - 5*w**5 + (-3*w + 0*w + 2*w)*(4*w**4 - w**4 - 2*w**4) + w**3 - w**5 - w**3.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59091, 59089, 59091, 59097, 59107, 59121, 59139?\n\"Answer: 2*q**2 - 8*q + 59097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 62. Let x be c(-14). What is the hundreds digit of (x + -1 + 0)*113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 48 - l - 66.\nAnswer: -l - 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9\/j**(-2\/35))\/(j**(1\/6)\/(j**(-7\/4)*j*j*j)) assuming j is positive.\nAnswer: j**(4259\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 1 + -23 + 20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -25*m**2 - 2*m + 1. Let i be r(1). Let d be (-1)\/(-4)*-1 + 143299\/604. Let x = d + i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/20 + s**2. Let c(o) = 41*o**2 - 18*o**2 - 20*o**2. Calculate u(c(y)).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, 108, 396, 934, 1800, 3072?\n\"Answer: 13*j**3 + 8*j**2 + j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*w + 7*v = -115*w + 2469, -4*w + 5*v = -2433. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Suppose 2*i + 1 - 39 = n. Let a = i + -7. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(12\/(-8) - 0). Solve -5*b = 5*w - 35, y*b = 2*w + 3*b - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331001459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 325663 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43871410 and 4.\nAnswer: 175485640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39447183, 39447180, 39447177, 39447174, 39447171?\n\"Answer: -3*y + 39447186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 2521*q - 20303. Give s(8).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2934 - 1495. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318007, 636068, 954129?\nAnswer: 1272190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24805.9 + 27158. What is q rounded to the nearest 10?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 613000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*f + 35 = -2*f, -5*t + 5*f = 0. Suppose 4*g + 26 = -5*b + 1130, -t*g = -4*b + 916. Calculate the greatest common factor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -52*s**2 - 4*s + 69. Let b(g) = -52*g**2 - 6*g + 69. Let z(d) = -2*b(d) + 3*t(d). Differentiate z(c) with respect to c.\nAnswer: -104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -15. What is the remainder when (2\/1 + f)*-5 - -2 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 29 = 4*x, -2*x = -0*v + 2*v - 14. Solve x = -s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 12*v = 105 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c**3 - 2*c + 45*c**2 + 1\/24*c**4 + 0 - 1\/480*c**6 + 1\/80*c**5. Factor h(a).\nAnswer: -a*(a - 4)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 24*c**2 - 27*c + 759. Let s(b) = 3*b**2 - 3*b - 6. What is 18*s(g) - 2*u(g)?\nAnswer: 6*g**2 - 1626","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 23 - 17*u**2 + 19*u**2 as w*u**2 + q + b*u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -164*a + 1796. Let k be o(11). Suppose -3*v = 5*r + 19, -2*v + 0*r - 17 = -r. Let j = v + 3. Put 5, j, -2, k in ascending order.\nAnswer: k, j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 - 247\/2. Suppose 4*t - 60 = -0*t. Find the common denominator of m and (-213)\/t - (-3)\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j - j. Let o be 0 + j + 2 - (-14 + 17). Are o and 7\/16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39\/29 + -2387\/58. Let t = -43 - q. Put t, -5, -0.2 in decreasing order.\nAnswer: -0.2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8)*(1 - 1). Suppose -5*n = -h*n + 40. Are -8 and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11 = -5*o - 14, 2*v = -o + 6. Suppose 8 = b + v. Suppose -3*f - 280 = -4*k, 5*k = -2*f + b*f + 75. What is f rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132)*-5*5)\/(6*sqrt(48)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8972, -6, 1, -19\/3 in decreasing order.\nAnswer: 8972, 1, -6, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -218, -174, -124, -68, -6?\n\"Answer: 3*k**2 + 35*k - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*v = 17, -5*k + 41 = -5*v + 3*v. Suppose k*n - 12 = 3*n. Let r be (-24)\/72*(-2 + 0 + -10). Solve -2*g - r*b - n = 0, -5*b = -2*g + 6*g + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, 12, 9 in decreasing order.\nAnswer: 12, 9, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/65040 and -133\/65040.\nAnswer: 65040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 22 = 4*c, -b + 19 = 4*c - 0*c. Suppose c*t - 19 = 31. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1364 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45066, -45064, -45052, -45024, -44974?\nAnswer: -44896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29*(-8)\/(-66816))\/(5\/(-30))?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -17*l - 23. Let q(p) = 6*p + 8. Let v(d) = -11*q(d) - 4*r(d). Suppose -4*n + 5*c = -37, 5*c = 3*n + 10 - 44. Let s = -7 + n. Give v(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 0.03?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (12 - 25) - (-1 - -10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0 - 3*g + 5\/2*g**4 + 0*g**5 + 0*g**2 - 1\/2*g**6 + 0*g**3. What is the third derivative of k(j) wrt j?\nAnswer: -360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u**3 - 4*u**3 - 5*u**3 + 0*u**3 - 2 - 17*u**4 to a*u**4 + d*u + b*u**2 + i + t*u**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/4698 and 23\/14.\nAnswer: 32886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18542)\/(-12) - 745\/(-894) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-318)\/(-15) + (-1)\/5. Suppose x - n + 0 = 1, n + q = 5*x. Let s = x - 0. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * -0.005.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6765 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: Solve 5*l + 155*x = 185*x - 25, 4*x + 5 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -1\/24*s**3 + 1\/48*s**4 + 0*s + 0 - 1\/240*s**5 - 3*s**2. Factor d(j).\nAnswer: -(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a + 58 = 23*s - 28*s - 17, 0 = -4*a + 2*s + 30 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -90, 0, -2, -100 in decreasing order.\nAnswer: 1, 0, -2, -4, -90, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -9. Suppose -10*h - 169 + 69 = 0. Calculate the remainder when s is divided by h\/(-4)*(0 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 43?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 + 0)\/(19 - 20))\/(-1) - 0. Let n(s) be the second derivative of 19*s + 0 + 3*s**3 + z*s**2 - 5\/6*s**4. What is the second derivative of n(i) wrt i?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1607, -6400, -14387, -25568?\n\"Answer: -1597*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*p + 54 = 1407 + 822 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i**5 - 3375003*i**4*y + 2562617*i - 24*y + 2 wrt i.\nAnswer: 120*i**3 - 40500036*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 30 + -64 - (1 - (2 - 2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.7488 millennia to decades.\nAnswer: 91774.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-6)\/(-21) - (-60)\/(-63)). Suppose w = a*w - 2. Suppose 0 = -w*q - 3*q + 20. Solve q*c = 2*g + 16, c + c + 5*g = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -82.9 (b) -2 (c) 9\/37 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1*d)**(-21))**44\/((d**(7\/4)*d)\/(d\/d**(-9)))**(-50) assuming d is positive.\nAnswer: d**(-6269\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 5 - 11 + m + 9. Determine w(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 60 - 38 + 0 - 4 + 3 + (2 + 0 + 0)*(3 - 2 - 3))*(-1 - h + 1)*(-4*h - h**3 + 4*h).\nAnswer: 70*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let a(z) = 2*z + 388423. Give a(h(r)).\nAnswer: 4*r**2 + 388423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2\/5, -0.1, 0, 3, -251 in ascending order.\nAnswer: -251, -1\/5, -0.1, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4729236 divided by 2364618\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.198 + 10.098. Let l = h + -10. Let a = 1 + -1. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-15))\/((-24)\/20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.045 - 0.04446. Round o to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -0*f. Which is greater: 1\/8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 461.151ml?\nAnswer: 0.461151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**3 - 36*t - 5*t**2 + 3*t**4 + 39*t + 3*t**2 + 2*t**4 to the form d*t**2 + b*t + l*t**3 + p*t**4 + m and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(171) - (0 + sqrt(171)))*4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvyv when four letters picked without replacement from yyvyvvv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1463\/39 - 7255\/429. Let q = -441\/11 - x. Find the common denominator of q and -1\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 32. Give j(-30).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-15)*2)\/((-2)\/(-3)). Let o be -2 + w + -1 - (-1 + -4). Solve -4*x - o*s - 28 = 0, -2 = -5*s - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -199193 and 51.\nAnswer: -199142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4435*j**3 + 620*j**2 - 3*j + 433716295 wrt j?\nAnswer: -13305*j**2 + 1240*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73656?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 95 - 41. Let n = t + -18. Calculate the remainder when 30 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:58 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*w + 8. Which is the second smallest value? (a) -0.1 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7106290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 6*c**2 - 7*c + 12. What is j(-7)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-8)\/h)\/h)\/h**10)\/(h**3\/h**(-2\/17)) assuming h is positive.\nAnswer: h**(-393\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 1, f: 2, s: 1, x: 1}. What is prob of picking 1 f and 2 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 449*r - 44. Determine q(-2).\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3094*t + 3127*t = 6181*t + 1400 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 34 = 4. Suppose t*q - 8*q + 3 = 0. Let r(g) = -4 - q - 7*g**2 - 2*g**3 + g**3. Determine r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 36*b - 31. Let i be h(35). Suppose -4*v + i*n = -32, -v - 5*n - 13 - 9 = 0. Factor 3\/2*k + v*k**2 + 0 + 3\/2*k**3.\nAnswer: 3*k*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f = -10. Let q(h) = 7 - 18 + f*h - h - 3*h. Determine q(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -1.2. Let o = s - -2.1. Let r = 0.1 - 0.3. Put o, 0, r in decreasing order.\nAnswer: o, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 29 + 44. Solve 5*r - 5 = 0, p + 7*r - 8*r = -o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g - 5\/18*g**4 + 2\/45*g**5 - 5 + 2\/9*g**3 + 0*g**2 + 1\/27*g**6. Factor u(r).\nAnswer: 2*r**2*(r - 1)**2*(r + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -12*q + 23*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6))\/(71\/18 + -4). Let n(v) = -35*v - 2. Let j(u) = 17*u + 1. Calculate d*j(g) + 4*n(g).\nAnswer: 13*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17477719 + 3?\nAnswer: 17477720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-3*(-5)\/(-3). Let x(j) = j + 7. Let o be x(h). Suppose o*f - 2 = f. Which is the closest to 1? (a) 1\/2 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - (12 - 27)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12)*-6*(-5)\/75\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d - 7*d + d - 13 + 2*d**2 - 3. Is 33 a factor of p(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/9319 or 1?\nAnswer: 3\/9319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:28 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 22*f - 132*f = -1320550. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 = -3*q, 5*l - 4*q - 11 = 0. Solve 1 = 2*s - l, -2*d = 4*s - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsdcqhdq. Give prob of sequence ccqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1026889 + -658531. Round c to the nearest 10000.\nAnswer: -1690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614661?\nAnswer: 1614661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 24*f**2 + 62*f - 25. What is g(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 22*z**2 - 42*z + 166. What is l(8)?\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:10 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i**(-1\/2)*i**(3\/2)\/((i*i*i**1)\/i))\/((i*i*i*(i*i**(-1))\/i)**(7\/2)\/((i\/(i\/((i\/i**(-1))\/i)*i)*i)\/i)**9) assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021112212110 - 10?\nAnswer: -10021112212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1792 less than -46?\nAnswer: -45.8208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 + -4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160950, -159414, -157864, -156294, -154698?\nAnswer: -153070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 94.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 10 - (6 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 - 1034280*p**3 - 53486755920*p**2.\nAnswer: -5*p**2*(p + 103428)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 39*u - 18*u.\nAnswer: -63*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 3080490.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-708)\/72 + 6 + (-1)\/6. Let h = -2 - -2. Which is the biggest value? (a) 1 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230028, 461881, 693734?\nAnswer: 925587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16, -1\/2, -3, -4, 3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1)\/(-5) - (1 - -2). Sort h, 5, -9 in ascending order.\nAnswer: -9, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548619913 divided by -6?\nAnswer: -548619913\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 164835484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792655896 to the power of 1\/3, to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1.7, -287, -4?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 206325257 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203917243 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**11*u**(-1)\/u*(u*(u**(3\/7)*u)\/u)\/u**2)**(-49) assuming u is positive.\nAnswer: u**616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17606528.1 hours to weeks.\nAnswer: 104800.7625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39468 and 409838.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -623490*c**3*f**2 - c**3 + 7*c**2 - 64*c - 28 with respect to f.\nAnswer: -1246980*c**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4\/7 + 4556*n**3\/7 + 70036*n**2 - 4556*n\/7 - 490248\/7 = 0. What is n?\nAnswer: -99, -1, 1, 1238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by -260.\nAnswer: -171\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 74132, -0.3, -0.4, -85, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -396 + 1567. What are the prime factors of u?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = 7*h + 9*f + 35, -3*h + 0*f + 5*f - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i + 1. Let l be n(-4). Suppose l = 5*h + 1. Suppose 385 = o + h*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7*g = -6. Suppose -n + 19 = 5*m, n - 12 = -g*n. Factor -2\/13*i + 2\/13*i**m - 4\/13 + 4\/13*i**2.\nAnswer: 2*(i - 1)*(i + 1)*(i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1048)\/36*3)\/(2\/(-3)). Let i = h + -129. Factor -2\/5*q**4 + 0*q + 0*q**i + 0 - 2\/5*q**3.\nAnswer: -2*q**3*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:30 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00247 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 20 = -0*r + 2*l, -2*r - 2*l - 17815 + 17835 = 26*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3520)*-5)\/(-6*(sqrt(5) - ((-2*sqrt(80) - sqrt(80)) + sqrt(80)))).\nAnswer: -20*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**4 - 3*y**3 - 5*y + 3. Let q be (-18)\/10*(-10)\/3. Let h(l) = 9*l**4 + 13*l**3 - l**2 + 21*l - 13. Let a(m) = q*h(m) + 26*p(m). Factor a(o).\nAnswer: 2*o*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 13*u - 241. What is a(-14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*x - 9, 5*x = -5*p + 2*x - 19. Let d be p + 3 + (18 - -1). What is the greatest common factor of 8 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84111.96 days in minutes?\nAnswer: 121121222.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 11*f + 2. Let s be (-15 - 0)*(-180)\/50. Suppose 4*g + 5*y - 43 = -9, -4*g + 5*y = -s. Calculate the lowest common multiple of i(g) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 17*k + 5*k**2 - 13*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 7 = -4*q, 0 = y - 3*q - 38. Calculate the remainder when y is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 19 - 3 = 0. Let j be (-72)\/8*(-1)\/(-3 + f). Let s be (-87)\/j - (-2)\/(-3). Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-28))\/((-31)\/248)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 3 - 21 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.4 and -2712 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/3))**(-18\/5)*u**(5\/2)*u\/((u*u\/((u**2*u*u*u)\/u))\/u) assuming u is positive.\nAnswer: sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001259525 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-15\/8))**(-6\/13) assuming z is positive.\nAnswer: z**(45\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434647.\nAnswer: 434647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14603, 30255, 45909, 61565, 77223?\n\"Answer: k**2 + 15649*k - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 249.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6144184 divided by -28982.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/60 + t**3\/6 - 10*t**2. Let o be m(0). Let f(p) = -p**2 - 7*p + o - 5*p + 8*p - 2. Determine f(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1855 and 45421.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226464853.\nAnswer: 41, 827, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*p - 28988, 2 = f - 1. Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 1972, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.88 minus -79?\nAnswer: 76.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2402 by 3.\nAnswer: 2402\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 446264.1 litres?\nAnswer: 446264100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 5. Let k be p(0). Sort k, 2, 3 in decreasing order.\nAnswer: k, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42\/253 - 8\/23. Let o = 95 + -96. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2 + 3)*(21 - -14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbbbgb. Give prob of picking 2 b and 1 g.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 less than or equal to -780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(119) + sqrt(119)*-1)\/sqrt(7) - ((4 + sqrt(425))**2 - sqrt(17))) + 4 - ((sqrt(272) + sqrt(272) + -2*sqrt(272)*-1 - sqrt(272))**2 + 5)).\nAnswer: -2888 - 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*f + 24*f + 3*f)*(1 + 0 + 2)*(2*f**3 + 2*f**2 - 2*f**2) in the form z + p*f + c*f**3 + r*f**2 + n*f**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/(-10*72\/36000)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1750 and 10850.\nAnswer: 54250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/200100 and 81\/1150.\nAnswer: 200100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*k**3 - 66 + 66 - 3*k + 3*k.\nAnswer: 110*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyzyffyffk. Give prob of picking 1 z, 2 f, and 1 y.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549 is divided by 987.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15598507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11295301.\nAnswer: 881, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 568986, 568983, 568980, 568977, 568974?\n\"Answer: -3*p + 568989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 3*y + 4*y - 7*y. Let r(j) = 3*j**2. Calculate r(w(u)).\nAnswer: 192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192061618.\nAnswer: 2, 7, 13718687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 77 + 28. Let d be w\/(-14)*8\/6. Suppose -d*q + 14 = -6. Solve 2*x + 4*j + q = 0, 18 = -x - 5*j + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -312 - -479. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6 + -12 + 4 - (8 - 5 - -25).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39710 (base 11) to base 13.\nAnswer: -1cab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30350407, -60700812, -91051217, -121401622, -151752027, -182102432?\n\"Answer: -30350405*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 2. Let j be t(1). Which is the third biggest value? (a) j (b) -1 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/20 - y**4\/4 + 2*y**2 + 149*y + 1. Suppose -3*g - 32 = -4*a - 7, 5*g + 11 = -a. What is k(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7\/13, 2, 2\/3, -1, 6.\nAnswer: -1, -7\/13, 2\/3, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-9) - 10\/(-12). Which is the nearest to w? (a) 0 (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5811*c**2*h*s**2 + 2*c**2*s**2 - c**2 - 27*c*h + 4*h wrt s.\nAnswer: -11622*c**2*h*s + 4*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.0837.\nAnswer: -0.04185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 21016 = 5*g - 21005, -3*g = -5*h + 85 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -793*k**3 + 925*k**3 + 4006 + 574*k**3 + k**2 wrt k.\nAnswer: 2118*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50570 divided by 10\nAnswer: 5057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 - 13*u**2 - 5*u + 24. Let j be d(10). Suppose -8*b + 194 = j. Is b != -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/9 - (-931)\/171. Suppose 5*l - 2*t = 324, a*l - 275 = 3*t + 51. Calculate the remainder when l is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1388.17 - -3207388.144.\nAnswer: 3208776.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -107. Let q = -1787\/21 - y. Which is the second biggest value? (a) -0.1 (b) q (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/11 equal to 2\/395143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4017\/4 - 3\/4*k**2 + 2007\/2*k.\nAnswer: -3*(k - 1339)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -2*s**5\/5 + 5*s**3 + 6*s**2 - 35. Find the second derivative of g(o) wrt o.\nAnswer: -24*o**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10856*b + 10860*b - 35 = -3*c, 0 = -c + 2*b + 5 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6378931207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -0.05, 20041, 1\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**4 - m**2 - 3*m**2 + 2*m**2 + 5*m**3. Let n(j) = 2*j**4 + 5*j**3 - 2*j**2. Let w(b) = 5*i(b) - 4*n(b). Factor w(s).\nAnswer: -s**2*(s - 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 394, 590?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(76)\/sqrt(4)*1 + sqrt(19)*-2 + -5 + 2))**2 + 3.\nAnswer: 96*sqrt(19) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-390)\/(-13) - 15)\/(-2 + 3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3323 + 29906\/9. Which is the second biggest value? (a) 3 (b) -0.2 (c) x (d) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10654222 (base 7) to base 9\nAnswer: -1678464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(36)\/sqrt(3)*-4) + 2)**2.\nAnswer: -sqrt(2) + 33\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -244332041 (base 5) to base 3\nAnswer: -2012022212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 221559.0819 to the nearest one hundred.\nAnswer: 221600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-176)\/12 + 2\/(-6). Let n = r - 7. Let d = 37 + n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48031.27 to the nearest ten.\nAnswer: 48030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*v**2 + 83*v**2 + 83*v**2 + 28*v - 77*v**2.\nAnswer: -v**2 + 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 6. Does 12 divide i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9 + 7\/3. Suppose 4*y + 10 = d, -2*d = 7*y - 8*y + 1. Sort b, y, -7.\nAnswer: -7, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y - 4*y - 2*y to s + h*y and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178 by -2.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, n: 3}. What is prob of sequence in?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/13)*m\/(m*(m**(-4\/13)*m)\/m*m))\/(m\/(m\/(m*m**(-2\/53)))*m*m**(-1\/5)))**(-11) assuming m is positive.\nAnswer: m**(81356\/3445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 1. Let c(y) = -16*y**2 - 147*y - 1432. Let h(z) = -8*z**2 - 73*z - 716. Let r(x) = 3*c(x) - 5*h(x). Let t(s) = 6*f(s) + r(s). Factor t(a).\nAnswer: -2*(a + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*m = 5*l + 14, 5*m = 4*l - 37. Suppose -136 = -y - l*y - 2*g, -5*y = -2*g - 152. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227506 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-2 - 6\/(-4))*(2 - 204)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 6*a - 1 + 19 = -45*q + 42*q, -3*q - a - 12 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4\/15, 5\/4, -0.3, 5 in descending order.\nAnswer: 5, 5\/4, 4\/15, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdrrvrrddvrrd. What is prob of picking 2 v and 1 d?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.33 + -18.2. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -1022371?\nAnswer: 1022375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 - 8\/(-20). Suppose 4*s - 7 = -l, 2*s - 5 = -l - r*s. Suppose 6 = 6*v - l*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + x - 1. Let z(i) = -2*i**2 + 27*i + 17. Let r(w) = 3*b(w) - z(w). Let m be r(-20). Suppose 3*q - 9 = 0, 4*v + q = 5*q + m. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/18)\/((-14)\/(-6)). Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 74205*n + 965510.\nAnswer: -5*(n - 14854)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -475639167\/611 - -778460. Let x be (-16)\/40 - 356\/(-940). Let d = p - x. Which is the nearest to -2\/3? (a) -0.1 (b) -2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 290. Let f = a - 96. Let l = -26 - f. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.04 and -401 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8166096?\nAnswer: 2, 3, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/4*(-74 - (-136571)\/1845)?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -408, 3, -2, 5 in ascending order.\nAnswer: -408, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z. Let a be -2 - z - 1*-3. Is -2 + (23 - a) + -2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15140, -15138, -15158, -15212, -15312?\nAnswer: -15470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 5\/2*t**4 + 4*t + 53\/2*t**2 + 1\/2*t**5 - 9\/2*t**3 = 0.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5 - 9505*c**4\/4 + 1416681*c**3 - 23950087*c**2\/4 + 5628163*c - 1054947 = 0. Calculate c.\nAnswer: 1\/4, 1, 3, 1186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5)*(-23*w + 10*w + 9*w)*(w**2 + 5*w**2 - 45*w**2) to the form p*w + k + r*w**3 + y*w**2 and give r.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:41 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (6 - 145\/15))*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 20*p - 9. Let m(d) = -10*d + 5. Let u(n) = -5*m(n) - 3*z(n). Differentiate u(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)*7 - 7\/(-4)*4. Let v(w) be the first derivative of 2\/3*w**3 + 0*w + l*w**2 - 17. Let s(c) = -2*c**2. Determine v(s(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -153*o**3 + 27*o - 27. Let h(y) = -2*y**3 - y + 1. Give 54*h(d) + 2*l(d).\nAnswer: -414*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/25))**(-34\/3)*v**(5\/4)\/(v\/(v\/v**(-10\/3))) assuming v is positive.\nAnswer: v**(549\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596714*l + 2 - 2.\nAnswer: -596714*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4079 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 52 = i - 5*p, -3*i + p = -28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1580950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9568627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*n - 652 = 60*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50364600 (base 7) to base 16\nAnswer: 3fd890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 3*x**3 - 8*x**2 + 5*x**3 + 12*x**2 + 10*x**3 = 0 for x.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3505, -7063, -10619, -14173, -17725, -21275, -24823?\nAnswer: -28369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*q + 8264 = 0, z - 2028 - 724 = -2*q. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**4\/24 - r**3\/6 + 4*r**2. Let b(l) = -3*l + 7. Let z(y) = 6*y - 1. Let t be z(1). Determine t*w(i) + b(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.054 - 0.054. Let b be 11\/14 - (-2)\/(-7). What is the nearest to b in 1\/4, 0.2, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*c = 38, -2*h + 2*c = -h + 2. Let m = h - -20. Solve -37*j**5 + 8*j**2 - m*j**3 - 42*j**5 + 87*j**5 - 12*j**4 = 0 for j.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 8970*h**2 - 17952*h.\nAnswer: 3*h*(h - 2)*(h + 2992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**2 + 69712*s + 303735184 = 0.\nAnswer: -8714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*r + 93 = 2*t, -5*r - 5 = 0. Let l = -99 + 99. Suppose l = 12*c - 5*c - 21. Solve -3*b - 5*v = 15, -c = 5*b + 4*v + t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 13*n - 15 = 0. Factor 2\/7*g**2 - 2\/7 + 2\/7*g**n - 2\/7*g.\nAnswer: 2*(g - 1)*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*q - 5, 3*t = 8*t - 3*q + 5. Let g be 5 + (-1)\/t*0. Suppose -3*l = -2*f - 25 - g, 50 = 5*l + f. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38575539367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (1 - -9)) + 6 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -27 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712264759 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5344 + 5510. What is the remainder when 986 is divided by q?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 202\/3 in -0.2, 0.4, -5584?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s - 8 + 13 - 13*s. Determine o(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - -0.22. Let g = w + -0.7. Let k = 1.0271 + 1.9729. Which is the third biggest value? (a) g (b) -0.3 (c) 1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15634 - 15629. What is the closest to 2 in 2, 3, 1\/72, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b = 45*b - 5*o + 27, 5*b + 3*o - 10 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592 + 3181 = 5*i + 1594 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 90 = 32*a. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390592309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12535, -11493, -10463, -9451, -8463, -7505, -6583?\n\"Answer: -n**3 + 1049*n - 13583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 5*s**3\/6 - 3*s**2\/2 - s. Let c = -969 + 973. What is the remainder when 65 is divided by l(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1)*1*-5.\nAnswer: -5*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10347.\nAnswer: 3, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q, 17 = r + 5*q - 2*q. Suppose 3*n - 15 = 0, r = 4*j - 3*j - 2*n. Suppose -3*d = -2*z - 7*d + 4, j = 3*z + 4*d. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Suppose 0*b - 5*b = 20. Let j(a) = 2*a + 3. Let r(w) = b*t(w) + j(w). Differentiate r(p) with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55388 - 55388 + 293*i**3)*(3*i + 0*i + 0*i)*(-1 + 1 - 2*i).\nAnswer: -1758*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3844973 divided by 34?\nAnswer: -3844973\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 253\/(-13156)*15\/((-1125)\/(-60))?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 13, t: 3}. What is prob of picking 2 t, 1 s, and 1 f?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 24*h**5 - 64*h**4 + 30*h**3 + 6*h**2 - 4*h = 0.\nAnswer: -1\/3, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 5*m - 0*m. Let o be (-12 - -1)\/(1\/1). Let l = o - m. What is the remainder when 20 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 613.8768 - -0.1232. Let r = 618 - z. What is the smallest value in r, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151528 divided by 45.\nAnswer: 151528\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**2. Let a(v) be the first derivative of -13*v**3\/3 - 169*v - 10. Let f(z) be the first derivative of a(z). Determine f(i(y)).\nAnswer: 208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(10\/7))\/x**(-15))**(-28) assuming x is positive.\nAnswer: x**(-488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698571136 = 55*h - 2513864. Round h to the nearest one hundred thousand.\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626833 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1924801 or -1?\nAnswer: -2\/1924801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*k**2*m**3 + 100*k**2*m**2 - 4*m**3 - 4959*m**2 wrt k.\nAnswer: -132*k*m**3 + 200*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -253521?\nAnswer: -253525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -456, -988, -1618, -2352, -3196, -4156, -5238?\n\"Answer: -r**3 - 43*r**2 - 396*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1516.04 times 1557\nAnswer: 2360474.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2\/(-4))*-22. Let b = -23 + t. List the prime factors of 28\/3 + 14\/b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n**2 + 3*n - 18*n**2 - 4*n + 12*n**2 as c*n**2 + k + d*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194583590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40576655 - 40576655 - 3*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/6 - 11*v - 511\/6 = 0. Calculate v.\nAnswer: -7, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1110400 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 9*z - 2. Let y be t(-4). Suppose -o = 3*v + 11, o = 2*v + y + 4. Let c(p) = -p**3 + 3*p**2 + 4*p + 5. Give c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79259 is divided by 6599.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abaa. Give prob of picking 2 b and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*(8 - 5). Suppose f*q + 1 = -7. Let n be (q + 0)\/(1 + 1). Let r(i) = 3*i - 1. Calculate r(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2 - (-16)\/(-10)). Let n = c + 9. What is the third derivative of t**4 + t**2 - 3*t**2 + 0*t**n wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*2 + 70 + -71 + -5. Put -7, -44, 4, 1, q in increasing order.\nAnswer: -44, -7, q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (58 + 2)\/(12\/(-1350)*-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (290\/1247)\/(64\/1376)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-82 - -92).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 154? (a) -0.2 (b) 1\/7 (c) -0.4 (d) 174\/5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b + 2180 = 3*y, -2*b = 2. Suppose 2127 = h + y. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 20*d - 71. Let o be y(3). Is (-92530)\/(-110) + o\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22388 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 1024.\nAnswer: -4*(x - 16)*(x + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1146, -2295, -3444?\n\"Answer: -1149*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 682*r. Let y(q) = 5*q**2. What is a(y(c))?\nAnswer: 3410*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d**3 - d**2 - 3*d - 1. Let j(n) = 18*n**3 - n**2 - 12*n + 582. Let t(i) = j(i) - 4*k(i). Find the first derivative of t(r) wrt r.\nAnswer: -78*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.15 + -0.15. Let j = p - 0.5. Which is the closest to -1\/3? (a) 13 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217918.\nAnswer: 2, 108959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -92. What is the tens digit of 10\/v*9\/5 + 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 3*k + 44. Suppose 0 = 3*u - 14*u - 55. Let l be o(u). Solve l*p - 12 = 5*w, 3*p + 7*w - 2*w + 26 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000308199 to 7 decimal places.\nAnswer: 0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-108))\/(2\/8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and (36\/(-63))\/((-2)\/(-14)) - -144?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*w - 21 = -125*w. Find the third derivative of -30*b**3 + 9*b**2 + w - 53*b**3 - b**3 - 8 wrt b.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*s - 16, 2*s - 14 = 4*m - 48. Let k be ((-6)\/s)\/((-14)\/(-6)). Suppose 0*f - f = 0. Is k smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 + 14. Let y be l(-6). Suppose 0 = -5*h - 2*x + 182, 10*h - 5*h - x - y = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398236?\nAnswer: 2, 99559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 21*d**2 + 121*d + 523. Calculate u(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2029, 2\/5, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 5, l: 5, f: 2, i: 1, a: 6}. Give prob of picking 1 v, 1 i, and 2 e.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81400898*x**4 - 153955256?\nAnswer: 325603592*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*f**2 - 66*f**2 - 32*f**2.\nAnswer: -137*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 31\/2683 (c) -1\/3 (d) 3 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -5, -41 in descending order.\nAnswer: 103, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = -8*c - 36 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 1 + 5*v - v + v - 2*v + 3*v + (-2 + 1 + 2)*(1 - 1 + 2*v) + 3*v - 3*v - v.\nAnswer: 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2788*h**3 - 3*h**2 - 7718*h wrt h.\nAnswer: -16728*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10643.09414 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*h + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1111120012?\nAnswer: -1111120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 382 + 141. Let y = 5755\/11 - h. What is the third smallest value in y, 0.04, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 10*m**2 + 17*m + 24. What is n(-11)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6269*y + 143 = -6200*y + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3229742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1807500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 3*q - q)*(q**3 + 2*q**3 - 2*q**3) + q**4 + 0*q**4 - 2*q**4 - q + q - 4*q**4 + (0*q**3 - 2*q**3 - 2*q**3)*(-q - 4*q + 6*q).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237929.\nAnswer: 59, 83, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82935.16um in nanometers?\nAnswer: 82935160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.107 (b) -46 (c) -4 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -2 + 5)\/1. Let a(j) = -j**3 - j**2. Let p be a(o). Suppose 4*s - 10 + 66 = p. Is -15 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, 1\/8, -2, 0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 103 + 2. Let k = -99 + 101. Suppose 41 = 5*l + k*r, -l = l - 5*r - 28. Calculate the smallest common multiple of g and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/140 and -77\/4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134.9 + -14.9. Let z = -177 - x. Let q = z - -296.999474. Round q to five dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 10*q**2 - 10*q + 13. Let y(b) = b**3 - 5*b**2 + 3*b. Let f be y(3). What is the units digit of d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774 and 94354986.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114.1 + 112. Let d = 2 + g. Which is the closest to d? (a) -3\/4 (b) 36 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46418.72 centuries in decades?\nAnswer: 464187.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d**3 + 9*d - 9*d)*(1 - 3 + 1 + (0 + 2 + 6)*(-11 + 3 - 5))*(2*d + 3*d - 7*d).\nAnswer: -2940*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 48 = -k. What is the highest common factor of 54 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**5 + 241*c**4 + 228*c**3 - 3910*c**2 + 2552*c + 885 = 0?\nAnswer: -59, -5, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 9026.565?\nAnswer: 9026.565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**8*v*v)*v)**(1\/7)*(v**(-13))**(-1\/17))**12 assuming v is positive.\nAnswer: v**(-948\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, i: 3, d: 1}. What is prob of picking 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*g**2 + 15644*a**3 - 2926*a**2*g**2 - 2*a**2*g + 4*g**2 wrt a?\nAnswer: -18*g**2 + 93864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -933, 5, -0.03.\nAnswer: -933, -0.03, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24)\/((-671)\/732)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + a**2)*(a**2 - 7*a**2 - 120 + 118) in the form k*a**4 + z + u*a**3 + m*a**2 + x*a and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2998.2743 - -1511.\nAnswer: 4509.2743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 3*k**2 - 2*k - 159. Give z(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -18 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 54*y**2 + 7*y**2 - 13*y**2)*(-4 + 4 + 3*y) in the form u*y + m + s*y**3 + d*y**2 and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15940861, -15940859, -15940857, -15940855, -15940853?\nAnswer: -15940851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uluuptuuuuuuuuzp. Give prob of sequence uuu.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-462)\/(-88))\/(24\/4*2\/3)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 487 = -1049. Calculate the remainder when 476 is divided by c.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*g = -15 + 3, -5*g = 3*v - 31. Suppose -22 = -2*y - 5*o, v*o = y - o - 11. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/3 - 20867*h**2\/3 - 899048*h\/3 - 571540 = 0.\nAnswer: -41, -2, 20910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 5:14 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799167872 to the power of 1\/2, to the nearest integer?\nAnswer: 42417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 6*b - 7. Let q(l) = -4*l + 18. Let y be q(5). Let d be p(y). Suppose -3*i - 24 = -0. Sort d, 5, i in ascending order.\nAnswer: i, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) + (-126)\/(-28). Solve d - 1 = 2*d + 2*l, -2*d = 2*l + p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84 + 1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.5 and -0.01443971.\nAnswer: 0.093858115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3485 + -0.7236. Round g to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 45*l**2 - 45*l + 27. What is w(-46)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24153780, -48307499, -72461218, -96614937, -120768656, -144922375?\n\"Answer: -24153719*a - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-56))\/((-4)\/14)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13196, -13082, -12884, -12602?\nAnswer: -12236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 436478\/33 bigger than 13226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13376981 to the power of 1\/2, to the nearest integer?\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -8. What is the biggest value in 5, 0.5, -2, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 + 12 - 3*x**2 + 13*x - 2*x**2. Let q be a(13). Let u = -6 + q. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069212 is divided by 382?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s - 4*s**2 + (-4 - 2*s + 4)*(-5*s + 3*s + 3*s) - 2*s**2 - 2*s**2 + 3*s**2 + 0*s**2 + 0*s**2 + 2*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22844801 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010543846 to the power of 1\/3, to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 + 11*o - 5*o**2 + 7*o**3 - 8 - 2*o**2 - 4*o**2. Let i be x(10). Find the second derivative of -3*b**2 - 2*b**2 + i*b**2 - 4*b wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(135\/(-6)))\/(4\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43\/2 of a millennium?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -55, -105, -175, -265?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 10*d**2 + 5*d - 7. List the prime factors of i(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 2*y - 2. Let g be i(-2). What are the prime factors of ((-2)\/(g\/(-3)))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 19 = -h - 28, 5*j = 4*h + 21. Calculate the smallest common multiple of 77 and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 388*f + 117. What is the lowest common multiple of 232 and z(77)?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54900 divided by 6100.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 + -0.2. Let z be (-205)\/(-15) - 4 - 2\/3. Let g(w) = -w**3 + 10*w**2 - 8*w - 9. Let i be g(z). Put i, b, -1\/4 in descending order.\nAnswer: i, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 14*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 211121122?\nAnswer: 211121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, k: 1, m: 10, y: 2}. Give prob of sequence yyv.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, v: 11}. What is prob of picking 2 t and 2 v?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2. Let n(c) = 0*c + c + 0*c**2 - 7*c**2. Let j(b) = n(b) + 6*p(b). Let y(t) = 7*t**2 - 4*t. Suppose 0 = 2*x + 11 - 1. What is x*j(m) - y(m)?\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)\/s*s**(-8))**(3\/16) assuming s is positive.\nAnswer: s**(-357\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*-2)\/(30\/25))\/((-105)\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19663\/2736 - -129\/304. What is the common denominator of i and ((427\/(-180))\/61)\/(4\/(-35) - 0)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1088*f + 308*f + 2064*f to n + l*f and give l.\nAnswer: 3460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458161239 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (-12 - -11 - (-1 + -18)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 45, 392, 55 in descending order.\nAnswer: 392, 55, 45, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -235?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/126*-9*(-4)\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/73 + 2599\/803. Calculate the common denominator of m and -79\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6659432986?\nAnswer: 2, 3329716493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243673215 by 48734643.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-32))**(-6\/11) assuming t is positive.\nAnswer: t**(192\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 1, z: 2, x: 6, i: 1, n: 5}. What is prob of sequence nx?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2 + 636\/(-204)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 8*q + 39 = s, 26 = -q - 3*s. Let c = 20 - 34. Let h = q - c. Solve y + h = 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -5, 14, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 79. Suppose -i*u - 42 = -2*u. Sort u, -1, -14, -2 in decreasing order.\nAnswer: -1, -2, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -1 - 3 - -38. Let i = v - 21. What is the greatest common factor of i and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170955ml in litres?\nAnswer: 0.000170955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w. Suppose w = 3*t - 3*r - 6, 0*r = 4*t - 2*r. Put t, 1, 1\/2 in descending order.\nAnswer: 1, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -718b386?\nAnswer: 718b389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:46 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1797083672 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3010203 (base 4) to base 5\nAnswer: -400304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 10:42 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + j - 2*j + (3*j + 2*j - 4*j)*(1 + 4 - 4)*(16 - 38 - 11).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 2*t + 33. Solve 0 = 2*h - t + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkg when three letters picked without replacement from kbbggklgggbag?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123\/86 + 3\/43. Let z = -73 - -84. Let w be z\/(-44) - 1\/4. Which is the second biggest value? (a) 0.3 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37*-1.1\nAnswer: 40.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (553 + 61*x + 524 - 1970 + 587 + 500)*(5 + 0 - 4).\nAnswer: 61*x + 194","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**3 + 14*w**2 - 14*w**2)*(5 + 2 - 5) - 4*w**3 + 27 - w - 27 - 3*w**3 + w**3 - w**3 + (-3*w**2 + w**2 + 0*w**2)*(2*w + 0*w + 0*w).\nAnswer: -27*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28548, 28403, 28150, 27789?\nAnswer: 27320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**3\/9 + 374*y**2\/9 - 914*y\/9 + 364\/9 = 0.\nAnswer: 1\/2, 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 2, n: 13, f: 2, d: 2}. Give prob of sequence fd.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3418*m + 7028*m - 5004*m to the form y*m + a and give y.\nAnswer: -1394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*o - 41, -o + 7889638 = -3*f + 7889495 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, 70.284, 5, 0.3, -0.11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/121 and -4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 73.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 32*o**2 - 7*o - 12. Let s be a(-6). Suppose s + 394 = 4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.7564 years in months?\nAnswer: 8241.0768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47525448 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*x + 4452 = 342*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -32*c**2 + 10*c + 2. Let t be b(5). Let w = t - -748. Solve h + 6 = -s - w, 2*h = -10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 336.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123545923?\nAnswer: 19, 37, 43, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64 and 1.2.\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/(x*x\/((x**(-2\/31)\/x)\/x))*x*x))\/x))**11*(x**(3\/10))**(3\/11) assuming x is positive.\nAnswer: x**(-2141\/3410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71687652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/18212 and -109\/4082.\nAnswer: 236756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7220 (base 9) in base 6?\nAnswer: -40243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100101 (base 2) to base 4\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(7\/6))**(2\/25)\/((g**(-18\/5)*g)\/(g\/(g\/g**(-2\/11)))))**35 assuming g is positive.\nAnswer: g**(14504\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2. Let v(b) = 6906*b - 75. What is v(l(i))?\nAnswer: 13812*i**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 777 = -3*h. List the prime factors of h.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 32, 0, 52690, -1\/2.\nAnswer: -1\/2, 0, 3, 32, 52690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1388*l + 160. Let m be a(-31). Let f(n) = -m + 43188 + 36*n**2. Let k(q) = 4*q**2. Give f(k(d)).\nAnswer: 576*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -631817022*x**4 - 468585891 with respect to x.\nAnswer: -2527268088*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -293287 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -400497*l**3*m**2 + 2*l**3*m - 30*l**3 + 34*l**2*m**2 - 3*l**2*m + l**2 - l + 33 wrt m.\nAnswer: -800994*l**3 + 68*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 47\/262?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 9643.\nAnswer: 86787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-2 - -2) + 139 + 0. Let g be (6\/4)\/(4\/d). Calculate the greatest common divisor of g and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/7 - 40*i\/7 - 72\/7 = 0.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + 0 + -65 + (-62 - -104)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 2*i**2 + 6*i + 7\/6*i**4 + 3*i**3 + 0. Factor x(l).\nAnswer: 2*(l + 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 - 2641456*u**3 - 15848612*u**2 - 13207112*u + 31697184 = 0. What is u?\nAnswer: -660358, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 138855456 a multiple of 1896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -8 - (-6 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 558140428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 535 = j + 3*c, 4*c = 3*j + 1631. Let g = j - -554. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqqq when four letters picked without replacement from gqggeqqg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 23 = 530*i - 532*i, -3*z - 2*i = -33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:38 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, f: 1, j: 2, w: 2, y: 1}. What is prob of sequence fl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/3*3\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043544095 to four decimal places.\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + 32\/5. Let k be 1\/(-2) + 13\/s. Suppose -5*l - 28 = n, 5*n - 319*l + 14 = -323*l. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 - 51496*q + 360276 = 0. Calculate q.\nAnswer: 7, 12867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -14. Calculate the remainder when (u - -2)\/((-2)\/18) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -1\/12*g**4 + 0 - 29*g + 3\/2*g**2 + 1\/2*g**3. What is q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 5) + (2 - (2 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 14. Let m be h(-14). Suppose -9*p + 1398 = 4*f - 11*p, 2*p = 3*f - 1046. Suppose m = -3*i - i + f. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, -1, -32.\nAnswer: -32, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, 90, 143?\n\"Answer: 53*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 - 5*t**3 + 17*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4. Let v = -31.55 + 30. Let x = v + 0.55. What is the nearest to w in 2\/5, -8, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33*1*(2 - -3)\/(-5). Let t(j) = j + 48. Let k be t(c). Solve k = -5*r + 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4737153 to the nearest integer?\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/7 and -21\/7087?\nAnswer: 49609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let p(o) be the third derivative of -3*o**8\/280 - 11*o**5\/60 - o**3\/6 - 8*o**2 - 6. Let n(v) be the third derivative of p(v). What is q(n(w))?\nAnswer: 432*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + t)*(1 + 2 - 1) + 4*t - t + t)*(4 + 0 - 3) in the form z*t + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2 - 3\/6). Suppose 5*c = -4*x + 62, -k*x - 3*c + 28 + 4 = 0. Suppose -j = x - 9. Are -3 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.883 + -0.2142. Let d = -3.65 + g. What is d rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkknknnk. Give prob of sequence nkn.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*b - 93*b + 7*u - 263 = 0, 2*b + 2*u - 58 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvvccccvtcvcv. Give prob of sequence vtv.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -87, -134, -181?\n\"Answer: -47*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 1:16 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgg when three letters picked without replacement from hvvxkgxgkgxggzgvgh.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375996 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 128.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6997*z - 15164*z**5 + 24*z**4 + 15195*z**5 - 94*z**4 wrt z.\nAnswer: 620*z**3 - 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-3\/2)*u**5*u**6*((u**(-1\/7))**5)**(-12) assuming u is positive.\nAnswer: u**(137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45082, -90163, -135244, -180325?\n\"Answer: -45081*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/14 + (-33)\/63. Which is greater: q or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d = 30*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 0.4, -24589152 in decreasing order.\nAnswer: 0.4, 1\/9, -24589152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108\/(-360) + -3 + 17613\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.54634 + 0.04634. Let g = -7 + 4. Put -1\/3, -5, g, f in decreasing order.\nAnswer: -1\/3, f, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327630680019.55 - -0.1.\nAnswer: -327630680019.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-1)\/3 + -4 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u - 235 + 1885 = 0. What is the lowest common multiple of u and 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u**4 + 1\/40*u**5 + 0 - 1\/6*u**3 + 0*u + u**2. Let d(p) be the first derivative of k(p). Let i(b) = -b. What is i(d(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 8. Suppose 13 = -5*h + k + 45, 5*h + k = 28. Let o be a(h). Solve 3*j - o*j = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - -1 - (-11270 - -11205).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/13)\/(d\/(d*d**2)))**(6\/17) assuming d is positive.\nAnswer: d**(150\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 - -1.5. Is j < 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1251 and 6700773?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-2 + 9 + (-9 - -6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4496 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1179*t**3 - 5243*t**2\/2 - 818*t + 1. Differentiate l(r) with respect to r.\nAnswer: 7074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -3*c**2\/2 + 2*c - 2453. Determine l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47173627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 20. Let g(t) = t**2 - 2*t + 2. Let r be g(3). Let v = l + r. Solve 0 = v*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541 is divided by 306?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -3290.\nAnswer: 32900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12*y = 65*y - 4296078. List the prime factors of y.\nAnswer: 2, 23, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.3, 2, -3, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1627, 3252, 4873, 6490, 8103, 9712?\nAnswer: 11317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/30)\/(2\/(-5))*143\/33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, g: 1, c: 4, p: 2, x: 2}. Give prob of sequence ccc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:27 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 292*v**2 + 37*v - 5. Let f(k) = -1167*k**2 - 156*k + 21. Calculate 5*f(b) + 21*i(b).\nAnswer: 297*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 - 13.6. Let a = z - -24.5. Let s = a - 6.5000142. What is s rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3482893 and -3482893 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 3*u - 1943 + 1774, 0 = k + u + 13 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-35)*14\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 3, o: 4, r: 12}. Give prob of sequence os.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -423, -788, -1153, -1518, -1883?\n\"Answer: -365*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**2 + 15*c**2 - 8*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 3, 0, -2 in descending order.\nAnswer: 3, 2, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a + 5053 = 4633 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*w + 4194 - 705 = -2175 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -64 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1704)\/576)\/71*(-9)\/(-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 10*z**2 - 16*z - 8.\nAnswer: -2*(z + 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**6\/2 - l**4\/4 - 16*l. Find the third derivative of j(g) wrt g.\nAnswer: 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-88)\/3 + (-1)\/(-3). Let a = -18 - w. Solve -a = 2*f - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {h: 1, a: 1, x: 3, t: 7, d: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.11 - -23.2. Let p = 0.43 - l. Let m = 0.66 + p. Which is the closest to 1? (a) 2\/57 (b) 1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168262 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -93*s**3 + 13*s**2 + 42*s + 37. Is r(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + r**2 - r + 3. Let w(u) = u**3 + u**2 + u + 1. Suppose 0*n = 2*n + 4. Let h(j) = j + 1. Let m be h(n). Give m*w(c) + q(c).\nAnswer: c**3 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by -117\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (371\/6890*-65)\/(266\/20)\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/37391976 and -77\/2601.\nAnswer: 37391976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 37*t + 3. Let g be a(-12). Suppose 0 - 10 = -2*o. Let l be (g\/(-6))\/o*0. Solve -3*j - 4*z = -3, -4 + l = -4*j + 5*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -727, -726, -725, -724?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/4)\/(1\/2). Let r be (-178)\/(-10) + (-6)\/(-30). What is the greatest common divisor of q and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o - o)*(26*o - 19*o - 49*o).\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 14*v + 5. Suppose -v*y + 8 = 3. Let k be 2 - y - 8\/4. Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*3750\/51250?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 645\/86*(4\/(-30))\/((-5)\/25). Solve -z*m + 5 = 0, -2 - 1 = 3*p - 3*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Let g be o(-4). Suppose 0 = 46*m + 10 - 102. Let f be (-4)\/((-5)\/m - g). Let u(r) = -r**3 + 7*r**2 + 7*r + 1. Calculate u(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 + 30 = 27*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3005611462?\nAnswer: 2, 7, 8117, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2163.4551 months to millennia.\nAnswer: 0.180287925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -874*d**4*g + 2*d**3*g - d**2*g + d*g + 8*d - 22*g wrt d?\nAnswer: -10488*d**2*g + 12*d*g - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + (7 - 0) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -53*x + 6. Let y be (-2 + 0)*-7 + -2. Let b be q(y). What is b rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/30 - 97*k**5\/9 - 976*k**4\/27 - 1304*k**3\/27 - 428*k**2. Factor r(q).\nAnswer: 4*(q - 163)*(3*q + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.52135 + 212.65135. Let t = g - 210.60742. Let v = -1.52 + t. What is v rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -0.3 (c) -11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4*z + 2*z)*(-1 - 3 + 3)*(-8*z**4 + 2*z**4 + 2*z**4).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvhervruvuhvvuerv. What is prob of picking 3 v and 1 e?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -269.9578 + 270. Round f to three dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. What is the first derivative of -y + 9 + 0 - 8*p wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -59?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 4*t + 2*t + (3*t + 0*t - 4*t)*(-5 + 1 + 2))*(-t + 3*t + 3*t).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 100221000 to the nearest 100000.\nAnswer: 100200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.37 - 0.369976. Round v to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14779010815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h + 4. Let b = -33 + 33. Let s be (-2)\/3 + b\/(-2 - -4). Is s smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 9*j**2 - 6 + 7*j**2. Let d be l(-3). Suppose -328 = z - 4*z + o, o = -d*z + 338. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/12 - 5*o**3\/6 + o**2\/2 + 5*o. Determine k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 8 + 0)*(1294 - 1475 + 3*m**2 - m**2) to the form f + b*m + v*m**2 and give f.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.487403 - 0.5\nAnswer: -0.987403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63396 is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 - 8*z**2 + 7*z + 6. Let d = 107 + -73. What is the remainder when m(4) is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1086172, -1086175, -1086180, -1086187, -1086196?\n\"Answer: -o**2 - 1086171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(81) - sqrt(81)*1)\/sqrt(3) + (sqrt(270) - sqrt(270)*-2)\/sqrt(10))**2.\nAnswer: 54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -548263\/42 or -13053?\nAnswer: -13053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 641.962 - -0.038. Let d = -646.804 + j. Let l = -0.004 - d. What is l rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7197, -3, 4, 2, -4, 31, 1 in decreasing order.\nAnswer: 7197, 31, 4, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73553883.\nAnswer: 3, 13, 17, 19, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*11\/(-22) - 6200\/33500.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -10*v + 1\/12*v**3 + 1\/48*v**4 + 0*v**2 + 0. Factor d(t).\nAnswer: t*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.033?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + u + 4. Let d be r(-3). Let h be 55*(36\/15)\/6. Let s = h + d. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5c (base 15) to base 5.\nAnswer: 33322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3333*q**2*x**4 + 36*q**2 + 37*q*x**2 wrt x.\nAnswer: -79992*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -412 - -409. Let g be ((-1)\/(-2))\/(27\/(-54))*f. Solve -2*j - g*n + 10 = -0*j, -12 = -2*j - 4*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*u - 5040 = 993*u for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)\/(((k\/(k\/(k\/(k*k*k*k*(k*k**(1\/10)\/k*k*k)\/k))*k))\/k)\/k*k))\/((k**(4\/3)*k)\/k**20) assuming k is positive.\nAnswer: k**(707\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y**5 - y**3 - 11713*y**2 + 958*y - 20.\nAnswer: -100*y**3 - 6*y - 23426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let k(u) be the first derivative of u**2\/2 - 89. Calculate a(k(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*d + 2 = -3*y + 551*d, 4*y = -3*d - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -337, -335, -331, -325, -317, -307?\n\"Answer: q**2 - q - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-329517)\/(-82))\/(-171))\/((-2)\/4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5\/2 + 1543*v**4 - 1588248*v**3 + 546320320*v**2 - 1048329728*v - 13036487424 = 0.\nAnswer: -4, 6, 1028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 2*p = 29*k - 0*p - 49, 97*p = 194 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 82215197682108\nAnswer: -82215197682108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 b when three letters picked without replacement from gvgggbpngb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/54 and -145\/234?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44774333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + v + 5*v)*(0*v - v**2 + 0*v) - 4*v**3 + 2*v**3 + 0*v**3 + (-4 + 4 + v)*(-2*v**2 + 4*v**2 + 6*v**2) as l + u*v**2 + x*v**3 + w*v and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 40405*m + 4903646.\nAnswer: -(m - 121)*(m + 40526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -5*i**7\/21 + 17*i**6\/15 - 8*i**5\/5 + 2*i**4\/3 - 17*i. Solve y(f) = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 19. Let u = h - 8. Let w be 8\/2*2\/(-4). Is u greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a00 (base 14) to base 12.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 - 3*p + 3*p**4 + 2*p**3 + 0*p**2 + 0*p**2 to the form u*p + j*p**2 + y + n*p**4 + b*p**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*p**2 - 95*p + 95*p to k*p**2 + t*p + s and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 19 - 20 - 24 - 22*l**2 as z*l + h*l**2 + t and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45\/7 + -471\/70. Find the common denominator of -89\/2 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 110703, 220926, 331149, 441372, 551595?\n\"Answer: 110223*q + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 343420400 (base 5) in base 11?\nAnswer: 965947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 6, 5, -1, -15, 66, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11741 + 21696. Is k a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1324042 + 24105?\nAnswer: -1255533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**6\/120 - 3*g**5\/80 + 73*g**4\/48 - 55*g**3\/8 + 1000*g. Factor c(f).\nAnswer: -f*(f - 5)*(f - 3)*(f + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/((-9)\/(-2)) + 4*1. Let a(w) = w**2 + 6*w + 5. Let j be a(-3). Let p be -3*(-3 - j) + 7. Solve -16 = -4*b + p*s, 4*s - u = b - 18 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94916 is divided by 47455.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-128)\/(-6))\/8)\/(2\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*x = -10, 3*v + x - 5 = 6*v. Suppose 0*b + 9*b = v. Suppose b*z = z - 893. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3 + 11489405*x**2 - 33001647026387*x + 231010966204207 = 0?\nAnswer: 7, 5744699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0*a**3 + 1\/5*a**6 + 0*a**5 - 19\/2*a**2 + 0 + 12*a + 0*a**4. Find the first derivative of b(g) wrt g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 11*d. Let f be m(-11). Suppose -5*r + r - 88 = f. Let b = r - -44. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1281 = -p, p - 2*d + 4*d = 1309. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - y**2 + y**3 + 11 + 13*y**3 - 130*y**3.\nAnswer: -116*y**3 + 2*y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -786, -5, 1, 5.\nAnswer: -786, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10622*t**2 + 2495*t**2 + 6628*t**2 + 16658*t**2 to v*t**2 + l + m*t and give v.\nAnswer: 36403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 307859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v**4 + 46494092*v**3 - 33210088*v**2 - 13284032*v = 0. Calculate v.\nAnswer: -1660504, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/90 and -139\/8928?\nAnswer: 44640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*k - 393*k + 3475*k**2.\nAnswer: 3475*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, a: 8, s: 3}. Give prob of sequence auaa.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 337423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + n - 466, -1404 = -3*b - 4*n - n. Suppose -u - b + 1116 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:54 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -830 - -832. Suppose 24 = v*n + 3*h + 7, 0 = 2*h - 10. Sort 4, n, -5 in descending order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/5 = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 238. Let d be f(-36). Let j = -94 + d. Solve j = -4*k + 8, -2*t - 3*k + 8 = -4*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -14, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-17)*b)\/b*b**16)\/(b**0*b**(-1\/16)) assuming b is positive.\nAnswer: b**(-15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 3*h**2 + 5*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 18918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 19*q + 506. Give m(-32).\nAnswer: 922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + -3.04. Let u = o + 4. Let m = 2 + 2. Which is the closest to u? (a) -0.5 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4762193 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 3*v**2 + v - 1. Let m be p(3). What is the second derivative of 25*h**2 - 2*h**5 - 25*h**2 - m*h wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.78780811 + 11.71779108. Let d = o - -14.07. Round d to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 - 9*f - 6. Let y be o(-8). Let z = -13 + 18. Suppose -23 = -y*n - z*q, -n + 12 = -q + 4. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + 2*d**2 - 2*d + 1. Let r be u(1). Suppose -h + 117 = -r*h. Let l = h - -77. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 - 1035\/11. Let c(f) = -2*f + 4. Let w be c(0). Suppose -4*s + 2*s = 3*z - w, -3*z + 1 = 5*s. Do y and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 976 and 32696.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 352*u**2 - 12*u - 12. Let z be l(-1). Let f be 5\/25 - 49\/(-5). Let j = 22 + f. What is the highest common factor of z and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911384967 to the power of 1\/3, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32100285871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iio when three letters picked without replacement from iioioo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373188714 - -0.05249?\nAnswer: 1373188714.05249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 120. Let d = 118 - r. Let n(k) = -10*k + 87. Let i be n(8). What is the greatest common divisor of d and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42985860 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*z - 0*m + 21, -5*z = -3*m - 75. Suppose 0*i = 8*i - z*i. Solve 4*s = -y - 9 - 4, i = -2*s - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9512\/9 < -1056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -7\/11*s**4 + 648\/11*s + 252\/11*s**2 + 2\/55*s**5 - 153 + 26\/33*s**3. Find h, given that z(h) = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*s - 430, 10*w - 15*w = -2*s + 186. Calculate the greatest common factor of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380 = -2*w - r + 192 + 194, -5*r + 5 = -5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6374, -1948, 5428, 15754, 29030, 45256?\n\"Answer: 1475*o**2 + o - 7850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -351 + 390. Which is the second smallest value? (a) 8 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 h, and 1 u when four letters picked without replacement from aahnanuanahuaaaa?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3 - 5 - 4 + 7*f. Let k(w) = -13*w + 11. Let q be (-15)\/25 - 22\/5. Let t be (2 + q\/10)*-4. What is t*k(r) - 11*m(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*s + 80*s + 79*s + 90*s - 107*s + 82*s.\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56116 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -969, -4042, -9447, -17412, -28165, -41934, -58947?\n\"Answer: -38*d**3 - 938*d**2 + 7*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 8*z**2 + 17*z + 6. Let y(m) = 12*m**3 + 24*m**2 - 51*m - 20. Calculate 7*f(u) + 2*y(u).\nAnswer: -4*u**3 - 8*u**2 + 17*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -29463.5 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247491 and 7512363?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(243))**2*-4 + (0 + sqrt(243))**2*6.\nAnswer: -72*sqrt(3) + 482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96036140.8000383 - -96036062.1. Let o = 78.7 + q. What is o rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-2)\/5*(-22 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 6 + 4. Let o be 1*(4 + (t - 2)). What is the units digit of 4\/(3*o\/192)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329130 = -21*y - 2*y. Let n be 3\/(-5) - y\/(-225). Let c(x) = 3*x**2 + 21*x. Let a(k) = k. Give n*a(m) - 3*c(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 - 206 = -3*a. What is the common denominator of -3*(3 - (-219)\/(-144)) and 4\/a*246 + (-8)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45625 - 45433. What is the lowest common multiple of b and 122?\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822.501 decades in months?\nAnswer: 458700.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -47. Let q(n) = -n**3 - 16*n**2 - 3*n - 14. Calculate the least common multiple of (6\/(-8))\/(1\/(-24)) and q(a).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8972 and 7848 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.984948 nanograms?\nAnswer: 0.000000000009984948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 9*p - 1214. What is h(31)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (9 - (10 - 7) - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18735 greater than -18735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-2)\/(-8)). Let p(t) be the first derivative of 0*t + 7 - 1\/3*t**3 + 1\/4*t**4 + 1\/5*t**5 - 1\/2*t**z. What is c in p(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 236 = 67*f. Let y(c) = 2*c**2 + 5*c. Calculate y(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3043 (base 7) to base 9.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11175 - 11176 - 3*k**2 + 16*k + 2*k**2 to p*k + n + x*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3319.3 take away 0.20189?\nAnswer: -3319.50189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4109 - -4110. Which is the closest to 0.1? (a) 3 (b) -33\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -322 - -253. Let q = -65 - t. Sort -3, q, -35 in descending order.\nAnswer: q, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 165*k**2 - 11*k + 47. Let f be n(9). Suppose f - 51312 = -13*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1054834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2522 (base 11) in base 8?\nAnswer: -6333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1693965.8 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42664, 41450, 39434, 36622, 33020, 28634, 23470, 17534?\n\"Answer: i**3 - 407*i**2 + 43070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2 + 3*q**2 + 2*q**2 + 3*q**2. Suppose -l = 5*t - 9 - 12, 4*t = -5*l. Let i(d) = t*d - 4*d + d. What is i(h(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/4, -1646, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, j: 2, s: 2, b: 1, y: 6}. What is prob of picking 1 s and 1 y?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - -51. Let x = -239 - a. Round x to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Suppose 2*l + 6 = 0, i*f = -0*f + 4*l - 213. Let u be 4\/10 - (-157500018)\/f. What is u rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/20 + 7*x**4\/4 + x**3\/6 - 15*x**2 - 186*x. Calculate s(21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6715 - 3932 = -1183*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 5515915\nAnswer: -148929705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -5\/36 (c) 2\/5 (d) 1\/78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 + 108. Solve 140*c - 141*c - 4 = l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/12)\/5)\/(836\/(-16720)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 s when three letters picked without replacement from {w: 1, s: 2, j: 1, t: 2, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexxeeceeexeexxxcx. What is prob of sequence ee?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Suppose -4 = -r*o - 0. Let g = 12 - 6. Calculate the least common multiple of o and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 24051\nAnswer: -24051.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6601268.3 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -3*b + 0*b**4 + 0*b**2 + 1 + 17\/30*b**6 + 29\/6*b**3 + 0*b**5. Find the second derivative of h(f) wrt f.\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -0.175845?\nAnswer: -29.824155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -105*m + 1565. Give a(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2\/3 - 1884136*w\/3 + 221873029156\/3 = 0?\nAnswer: 235517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {d: 1, i: 2, w: 2, u: 1, x: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(45))\/(sqrt(1296)*-1 - sqrt(1296)) + -2.\nAnswer: -2 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 11:11 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 245*f - 231*f. Solve f*g = -19 + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h**2 + 7*h - 22. Let p(w) = 12*w**2 - 7*w + 26. Calculate -7*m(x) - 6*p(x).\nAnswer: 12*x**2 - 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z**3 + 235*z**2 + 156*z - 43. Determine s(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 757579611.3 from 6476.\nAnswer: -757573135.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/2 - 29*d**3\/6 - 9*d**2 + 5*d. What is the tens digit of b(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 42*q + 77 - 15 - 64 as n*q + t and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 58. Let t = 0.65 + -5.65. Put t, w, -3\/4 in descending order.\nAnswer: w, -3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 86*p - 15. Let w(y) = y - 8. What is j(r) - 2*w(r)?\nAnswer: 84*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}